QUICKKKKK!!

Graph the image of the figure using the transformation given.

91) translation: (x, y) →(x+3, y-5)

92.) translation: (x,y) →(x,y -2)

93) reflection across x = -2

94.) reflect across y = 1

95) rotation 180° about the origin

96) rotation 90° counterclockwise about the
origin


I’ll give you all the points just helppppp me outttt!!

Answers

Answer 1
To graph the image of a figure using a transformation, we can follow the steps below:

Identify the points on the original figure.
Apply the transformation to each point to find the corresponding point on the image.
Connect the points on the image to form the image of the figure.
Here are the steps for each of the transformations you listed:

translation: (x, y) →(x+3, y-5)
To perform this transformation, we need to shift each point 3 units to the right and 5 units down. For example, if the original figure has a point at (1, 2), the image of that point would be at (1+3, 2-5) = (4, -3).

92.) translation: (x,y) →(x,y -2)

To perform this transformation, we need to shift each point 2 units down. For example, if the original figure has a point at (1, 2), the image of that point would be at (1, 2-2) = (1, 0).

reflection across x = -2
To reflect a figure across the line x = -2, we need to negate the y-coordinates of each point. For example, if the original figure has a point at (1, 2), the image of that point would be at (1, -2).

94.) reflect across y = 1

To reflect a figure across the line y = 1, we need to negate the x-coordinates of each point. For example, if the original figure has a point at (1, 2), the image of that point would be at (-1, 2).

rotation 180° about the origin
To rotate a figure 180° about the origin, we need to negate both the x- and y-coordinates of each point. For example, if the original figure has a point at (1, 2), the image of that point would be at (-1, -2).

rotation 90° counterclockwise about the origin
To rotate a figure 90° counterclockwise about the origin, we need to swap the x- and y-coordinates of each point and negate one of them. For example, if the original figure has a point at (1, 2), the image of that point would be at (-2, 1).

I hope this helps! If you provide the points on the original figure, I can help you graph the image for each of the transformations.
Answer 2

The image after the transformations of rotation, translation or reflection can be found by certain operation or rotation.

We can find how to know the image of certain figures after the given transformations are done.

91) Here it is translation.

x coordinates are shifted to right by 3 units and y coordinates are shifted to  down by 5 units.

So the entire graph will be shifted to right by 3 units and down by 5 units.

92) Here, the translation is by not shifting the x coordinates and shifting the y coordinates 2 units to the down.

So the entire graph will be shifted to down by 2 units.

93) When a graph is reflected across x = -2, then the graph is moved horizontally such that the original figure and the image will be at the same distance from x = -2.

94) When a graph is reflected across y = 1, then the graph is moved vertically such that the original figure and the image will be at the same distance from y = 1.

95) When a graph is rotated about the origin 180°, if it is clockwise or anticlockwise, each of the coordinates (x, y) in the graph will become (-x, -y).

96) If the rotation is 90° counterclockwise about the origin, the coordinates (x, y) in the original graph becomes (-y, x).

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Related Questions

Indicate whether the measures 4. 35, 5. 8, and 7. 25 can be the side lengths of a triangle. If they can, classify the triangle. PLEASE HELP!!


yes; right

yes; obtuse

yes; acute

no

Answers

Classification of given triangle is right angle triangle.

Let's suppose a, b and c are the sides of a triangle.

then we know that sum of 2 sides is always greater than third side.

a + b>c

b + c>a

c + a>b

a = 4.35, b = 5.8 , c = 7.25

a + b>c 4.35+5.8 = 10.15>7.25

b + c>a  5.8 + 7.25 =  13.05>4.35

c + a>b 7.25+4.35 = 11.60>5.8

So now we can say given side lengths are representing sides of a triangle.

It generalizes the Pythagorean Theorem, which states that for a right-angled triangle square of the hypotenuse is equal to the sum of squares of the base and height of the triangle, which is [tex]c^2 = a^2 + b^2[/tex]      

Similarly, It can be observed that

For acute-angled triangle

[tex]c^2 < a^2 + b^2[/tex]    

For Obtuse-angled triangle

[tex]c^2 > a^2 + b^2[/tex]

[tex]a^2 + b^2[/tex] = 18.9225 + 33.64 = 52.5625

[tex]c^2[/tex] = 52.5625

clearly we can see that [tex]a^2+b^2 = c^2[/tex]

So given triangle is Right-angled triangle.

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Over which interval is this function continually decreasing? f(x) = |4(x - 1)| + 2

Answers

The interval at which the function f(x) = |4(x - 1)| + 2 is decreasing is (- ∞, 1).

What is an absolute value function?

We know the absolute value function of the modulus function always outputs a positive value irrespective of the sign of the input.

In piecewise terms  | x | = x for x ≥ 0 and | x | = - x for x < 0.

We know in an absolute value function y = |x - h| + k, the vertex is (h, k) and it changes its direction from here.

Given, f(x) = |4(x - 1)| + 2 has a vertex at (1, 2).

Therefore the interval where the function is continuously decreasing is

( - ∞, 1).

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if a:3=12:a, calculate the positive of a

Answers

When a:3=12:a, then the positive of a will be 6.

Given, the  following quadratic equation

a : 3 = 12 : a

That is,

a/3 = 12/a

By cross- multiplication of the values, we will get

a * a = 12 *3

a ^ 2 = 36

From the above equation, we calculate the square root for the value a.

Therefore, we get the square root of,

a ^ 2 = 36

a = 6 ( as the square root of 36 is 6)

So, we can say that when a : 3 = 12: a the positive of a will be 6

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What is the relationship between a 90% confidence interval around a mean and a 95% confidence interval around a mean?.

Answers

The relationship between a 90% confidence interval around a mean and a 95% confidence interval around a mean is wider than one other.

Confidence interval:

In statistics, confidence interval means  the probability that a population parameter will fall between two set values.

Given,

Here we need to find the relationship between a 90% confidence interval around a mean and a 95% confidence interval around a mean.

According to the given question, the given confidence interval values are 90% and 95 %.

When we convert this percentage value into decimal, then we get the value as,

90% = 0.9

95% = 0.95

Here a 95 percent confidence interval, you have a 5 percent chance of being wrong.

And with a 90 percent confidence interval, you have a 10 percent chance of being wrong.

Therefore, 90 percent confidence interval would be wider than a 95 percent confidence interval.

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Two trains leave stations 480 miles apart at the same time and travel toward each other. One train travels at 90 miles per hour while the other travels at 110 miles per hour. How long will it take for the two trains to meet?

Answers

It will take 2 hours 24 minutes time to two trains to meet.

Let a train starts from A towards to B with velocity v1 = 90 miles/hour

and another train starts it's journey from B towars A with velocity               v2 = 110 miles/hour

Let after  time t hour they meet at C.

Hence, we get  AC + CB = AB

                    ⇒  v1t + v2t = 480

                    ⇒ (v1 + v2) t = 480

                    ⇒ (90 + 110) t = 480

                    ⇒ t = 480/200 = 48/20 = 12/5 hours

                     ∴ t = [tex]2\frac{2}{5}[/tex] hours

                          = 2 hour (2/5 × 60) mins

                    ∴ t  = 2 hours 24 minutes time

So, after 2 hours 24 minutes time they meet each otherv at C, where                 AC = v1t  = 90 × 12/5 = 216 miles.

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Write an equation howing the relationhip. Ue `E` to repreent energy and `d` to repreent the number of day

Answers

Equation for representing energy to the number of days E = P*( 1/d / 1000 )

This formula of energy is used to calculate the use of energy for a given period in a day . The consumption of energy is measured by multiplying the number of power units consumed in a given period.

E = P*(1/d/1000); where E = energy measured in Joules or kilowatt-hours (kWh), P = power units in watts,  and d = time over which the power or energy was consumed in a day  

Thus, whenever someone asks you how to calculate power consumption, you can calculate and answer using the above equation.

Energy consumption can be widely classified based on several factors such as worldwide energy consumption, its impact on the environment, etc.

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Sarah has a solid wooden cube with a length of centimeter. From each of its 8 corners, she cuts out a smaller cube with a length of centimeter. What is the volume of the block after cutting out the smaller cubes?.

Answers

Therefore ,the volume of the block after cutting out the smaller cubes is  (8/25 cm^2)

What is volume ?

Any three-dimensional solid's volume is just the amount of space it takes up. A cube, cuboid, cone, cylinder, or sphere can be one of these solids.

Volumes vary depending on the shape. We have examined different three-dimensional objects and shapes in geometry, including cubes, cuboids, cylinders, cones, and more. We will learn how to calculate the volume for each of these shapes.

Here,

volume = (8/25 cm2) represents the block's volume after the smaller cubes have been removed.

First, we must determine the volume of a cube with four or five centimeter sides, which is:

V = (4/5 cm)^2 = (16/25 cm^2)

The volume of each of the eight smaller cubes that was removed must now be subtracted.

v = (1/5 cm)^2 = (1/25 cm^2)

After the smaller cubes are removed, the block's volume is:

V - 8v = (16/25 cm^2) - 8*(1/25 cm^2) = (8/25 cm^2)

Therefore ,the volume of the block after cutting out the smaller cubes is  (8/25 cm^2)

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Dominic is a server at a restaurant. Each dish at the restaurant costs $8. A sales tax of 8% is charged. The total bill amount includes the sales tax of the meal. Dominic earns tips left by customers. The amount of money tipped can be represented by a percentage of the total bill. Order the tip amounts from least to greatest tip, in dollars. 4 dishes 20% tip 6 dishes 14% tip 7 dishes 11% tip

Answers

Answer: To find the tip amount in dollars for each order, you need to multiply the total bill amount by the tip percentage.

For the first order of 4 dishes, the total bill amount is $8 per dish * 4 dishes = $<<8*4=32>>32.

The tip amount is $32 * 20% = $6.40.

For the second order of 6 dishes, the total bill amount is $8 per dish * 6 dishes = $<<8*6=48>>48.

The tip amount is $48 * 14% = $6.72.

For the third order of 7 dishes, the total bill amount is $8 per dish * 7 dishes = $<<8*7=56>>56.

The tip amount is $56 * 11% = $6.16.

So, the tip amounts from least to greatest are $6.16, $6.40, and $6.72.

Find the volume of this right solid. The base is a square with
sides 6 meters long. The cylindrical hole has a diameter of 3 m.
Round answer to 2 decimal places.

Answers

The volume of the cylinder is 21.2m³

Volume of a Cylinder

The volume of a cylinder is the density of the cylinder which signifies the amount of material it can carry or how much amount of any material can be immersed in it. The formula is given as πr²h, where r is the radius of the circular base and h is the height of the cylinder.

V = πr²h

v = volumer = radius = diameter / 2h = height

radius = diameter / 2

radius = 3 /2

radius = 1.5m

v = π × 1.5² × 3

v = 21.2m³

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HELP!!! NEED ANSWER FAST

Answers

Answer:

y = 1.3x + 10

Step-by-step explanation:

as, y = 1.3 * 5 + 10

= 16.5

Answer: y = 1.3x + 10

Step-by-step explanation: 1.3 x 0 = 0→ 0 + 10 = 10

1.3 x 5 = 6.5→ 6.5 + 10 = 16.5
1.3 x 10 = 13→ 13 + 10 = 23

1.3 x 15 = 19.5→ 19.5 + 10 = 29.5

1.3 x 20 = 26→ 26 + 10 = 36

Hope this helps.

Complete the table below to represent the function: f(x)=x+4

Answers

Answer:

x        0     1     2    3    4

f(x)     4     5    6    7    8

Step-by-step explanation:

f(x) = x + 4

f(0) = 0 + 4 = 4

f(1) = 1 + 4 = 5

f(2) = 2 + 4 = 6

f(3) = 3 + 4 = 7

f(4) = 4 + 4 = 8

x        0     1     2    3    4

f(x)     4     5    6    7    8

Help me solve this two column proof!

Answers

The two column proof is written as follows

Statement                                                           Reason

AD ≅ BD ≅ CD                                         given

ΔADB and ΔCDB are isosceles             Base angles are equal

< A =  < C = < ABD = < CBD = x              Definition of isosceles triangle.

< ABC =  < ABD + < CBD                         Adjacent angles

< ABC = x + x = 2x                                   Substitution property of equality

< ABC + < A + < C = 180                          Sum of angels of a triangle

2x + x + x = 180                                       Substitution property of equality

4x = 180                                                   Addition property of equality

x = 45 degrees                                        Division property of equality

< ABC = 2x = 2 * 45                                Substitution property of equality

< ABC = 90                                              Definition of right triangle

What is a right triangle?

A triangle is said to be a right triangle if one of the angles is 90 degrees. Right angles are angles that are 90 degrees.

The proof required to proof that < B is 90

With the isosceles triangle giving and the equal sides the equation is written as

4x = 180

x = 45

< B has 2x (< ABD + < CBD) these are adjacent angles

< B = 2 * 45

< B = 90

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A pair of shoes are priced at $35.99 but is on sale for 20% off. What is the sale price of the shoes?

Answers

Answer: $28.79

Find 20% of $35.99.

Then subtract that answer (7.2) from $35.99

your answer is

The shoes where on sale for $28.79

Rory is writing an introduction paragraph for an argumentative essay about the treatment of egg-laying chickens. Which of the following is an effective
claim?
O Chickens raised for-eggs should be allowed to roam free.
OI like knowing that chickens are descended from dinosaurs, and that their egg colors are based on genetics and feather colors.
O It's important to note that chickens have great memories, dream when they sleep, and can recognize over 100 faces.
OWe should respect chickens because they can communicate with other chickens through over 30 different sounds, including purring when they're
happy.

Answers

An effective claim in the essay is that; Chickens raised for-eggs should be allowed to roam free. Option A

What is an argumentative essay?

The entire point of an argumentative essay is that the essay helps us to be able to bee able to make a point. It is the kind of essay in which we may be able to communicate our perspective about a matter.

In the argumentative essay, there could be a claim which is the main point that the essay is trying to address. The claim would thus provide the kernel of the essay. It is the point that the author wants to pass across to the readers.

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Answer: A: Chickens raised for eggs should be allowed to roam free.

For each part below, use the figure to fill in the blank.
If necessary, you may learn what the markings on a figure indicate.
(a) Find m

Answers

The measure of m∠x is 110°

What is the Isosceles Triangle?

Isosceles triangles are those triangles that have at least two sides of equal measure. We know that triangles are three-sided enclosed polygons and they are classified as equilateral, isosceles, and scalene, based on the length of their sides.

We have,

given the triangle Δwxy,

m∠y = 35°, and

there are two similar sides to the triangle wx ≅ xy,

Properties of an Isosceles Triangle are:

The two sides are congruent with each other.

The third side of an isosceles triangle which is unequal to the other two sides is called the base of the isosceles triangle.

The two angles opposite to the equal sides are congruent with each other. That means it has two congruent base angles and this is called an isosceles triangle base angle theorem.

The angle which is not congruent to the two congruent base angles is called an apex angle.

The altitude from the apex of an isosceles triangle bisects the base into two equal parts and also bisects its apex angle into two equal angles.

The altitude from the apex of an isosceles triangle divides the triangle into two congruent right-angled triangles.

The two angles opposite to the equal sides are congruent with each other.

so, m∠w = m∠y = 35°

The sum of measure of the angles of the isosceles triangles is 180.

so,

m∠w + m∠x + m∠y = 180

35 + 35 + m∠x = 180

m∠x = 180 - 70

m∠x = 110°

Hence, the measure of m∠x is 110°.

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Can you help me thank you so so much Really having trouble in math

Answers

Answer:

Step-by-step explanation:

the answer is A

Answer:

A.) [tex]\frac{-343}{27}[/tex]

Step-by-step explanation:

Looking at the available answers, I'm assuming the expression is [tex](-2-\frac{1}{3})^3[/tex].

So,

[tex](-2-\frac{1}{3})^3\\(-\frac{6}{3}-\frac{1}{3})^3\\(\frac{-7}{3})^3[/tex]

Use the exponent rule that states [tex](\frac{a}{b})^m=\frac{a^m}{b^m}[/tex]

So,

[tex](\frac{-7}{3})^3\\\frac{(-7)^3}{3^3}\\\frac{-343}{27}[/tex]

Please help me solve!

Answers

Answer:

81.5%

Step-by-step explanation:

Note that 90 is 2 standard deviations away from 144, which accounted for 47.5% area

171 8 is 1 standard deviations away from the mean is which is 34% area.

So the total area is 81.5%

In one corner of the drawing room a flower basket is kept inside the glass lies on the table the basket is designed in such a way that every one please to see it

Answers

A cylindrical vase with a curved surface area of 6.79 square metres will cost Rs. 8.14 to paint.

What is curved surface area?

The area with just curved surfaces, leaving the circular top and base, is referred to as the curved surface area. Curved surface area is the amount of space left over after subtracting the cylinder's total circular area. The formula for curved surface area is 2 * pi * r * h.

Here,

We have to calculate the curved surface area of glass in which the flower basket is placed.

Glass is cylindrical,

Height of cylinder = 180cm = 1.8m

Radius of cylinder = 60cm = 0.6m

The curved surface area of the cylinder = 2πrh

The curved surface area of the cylinder = 2*22/7*0.6*1.8

The curved surface area of the cylinder = 6.78584 m²

Cost of painting the glass per m² = Rs. 1.2

Cost of painting 6.78584= 6.78584*1.2

Cost of painting 6.78584= Rs. 8.143

The cost of painting an cylindrical vase of curved surface area 6.79 m² will be Rs. 8.14.

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hree people are asked to throw a fair die. what is the probability that all of them get the same number

Answers

The probability that all of them get the same number is 1/36.

Given :

Three people are asked to throw a fair die.

Probability :

Probability is a branch of mathematics that deals with the occurrence of a random event.

In one dice probable outcomes 1, 2, 3, 4, 5 and 6

Total out comes in three dice = ( 6 * 6 * 6 = 216 )

Probability of getting 1 = 1/216

Similarly for 2, 3, 4, 5 and 6

Probability of getting same number = 6 * 1/6 * 1/6 * 1/6

= 6*1/6 * 1 * 1 / 6 * 6

= 6/6 * 1/36

= 1 * 1/36

= 1/36

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Jordan and his children went into a restaurant and he bought $26 worth of drinks and tacos. Each drink costs $2. 50 and each taco costs $2. He bought 4 more tacos than drinks. Write a system of equations that could be used to determine the number of drinks and the number of tacos that jordan bought. Define the variables that you use to write the system.

Answers

Using the equations 2x+2.5y=26 and x=y+4, Jordan also brought 4 beverages and 8 tacos.

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical sentence with two equal sides and an equal sign is called an equation. An example of an equation is 4 + 6 = 10.

Here,

Let x be the tacos and y be the drinks,

cost of each drink=$2.5

cost of each tacos=$2

2x+2.5y=26

x=y+4

2(y+4)+2.5y=26

2y+8+2.5y=26

4.5y=18

y=18/4.5

y=4

x=y+4

x=8

Jordan brought 8 tacos using the system of equation as 2x+2.5y=26 and x=y+4 as well as 4 drinks.

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WILL VOTE BRAINLIEST IF POSSIBLE!!
What is the relationship between the following two sequences? Sequence 1: 0, 1, 2, 3, 4, 5… Sequence 2: 0, 4, 8, 12, 16, 20… Group of answer choices The terms in Sequence 2 are four times as large as the terms in Sequence 1. The terms in Sequence 2 are twice as large as the terms in Sequence 1. The terms in Sequence 2 are three times as large as the terms in Sequence 1. The terms in Sequence 2 are half as large as the terms in Sequence 1.

Answers

Answer:

The terms in Sequence 2 are four times as large as the terms in Sequence 1.

Step-by-step explanation:

If we take a look at the numbers,

Sequence 1: 0, 1, 2, 3, 4, 5

Sequence 2: 0, 4, 8, 12, 16, 20

We can see that 0 × 4 = 0,

1 × 4 = 4,

2 × 4 = 8,

And so on.

We can also see in sequence 2 that 4 is added to each of the numbers every time, whereas the first sequence is simply counting up.

Therefore, we can conclude that the terms in Sequence 2 are four times as large as the terms in Sequence 1.

(2x)/(25)=(0.4)/(0.15)

Answers

For Solve the x, simplifying both sides of the equation so it would be x=33.3

Consider y=1/2x+1. a. Complete the table for the equation. x y 0 2 4

Answers

The table can be completed as follows x = 0, 2, 4 we get y = 1, 2, 3 for the linear equation [tex]y = \frac{1}{2}x + 1[/tex].

What is a Linear Equation ?

If an equation is written in the form ax + by + c=0, where a, b, and c are real integers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero, then it is said to be a linear equation in two variables.

Examples of two-variable linear equations are 10x+4y = 3 and -x+5y = 2.

Such an equation has a pair of numbers as its solution, one for x and one for y, which further equalises the two sides of the equation.

A specific point on the graph represents the solution of a linear equation in two variables, ax+by = c, where the total of these two values will equal c when the x-coordinate is multiplied by a and the y-coordinate by b.

Basically, there are infinitely many solutions to a linear equation with two variables.

The equation is :

[tex]y = \frac{1}{2}x + 1[/tex]

So, when x = 0

y = 1,

when x = 2

y = [tex]\frac{1}{2}*2 + 1[/tex] = 1 + 1 = 2

and , when x = 4

y = [tex]\frac{1}{2}*4 + 1[/tex] = 2+ 1 = 3

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Margaret said the exact product of 602 and 341 is 205,282 . Is she correct prove it by showing an algorithm:

Answers

Yes, she is. The exact product of 602 and 341 is 205,282.

What is algorithm in math?

In mathematics, an algorithm is a process, a description of a series of steps that can be used to solve a problem; however, they are now far more prevalent than that. Although many areas of research (and daily life) use algorithms, long division's step-by-step process is probably the most prevalent example.

To determine the exact product of 602 and 341, both numbers must be multiplied, obtaining the result. To do this, said number can be decomposed, to facilitate the operation and to be able to corroborate the accuracy of the result.

So, we can multiply 602 by 300, plus 602 by 40 and 602 by 1, and add the results.

Therefore, since 602 times 300 is equal to 180,600 (602 x 300 = 180,600); that 602 times 40 is equal to 24,080 (602 x 40 = 24,080); and since 602 times 1 is equal to 602, all those values must be added.

So 180,600 plus 24,080 equals 204,680. And in turn, 204,680 plus 602 equals 205,282. Therefore, the proposed result is correct.

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due a cupple days ago pls help meee

Answers

Answer:

(0, 2 )

Step-by-step explanation:

If the dilatation is centred at the origin then the original coordinates are multiplied by the scale factor , that is

B (0, 4 ) → ( [tex]\frac{1}{2}[/tex] (0), [tex]\frac{1}{2}[/tex] (4) ) → (0, 2 )

round the fraction or mixed number to the nearest 1/2.
4 and 8/9
answers
4
4 and 1/2
5

Answers

You first have to convert the mixed fraction an improper fraction:

((4 x 9) +8)/9 = 44/9

You then need to divide the numerator by the denominator from the step before:

44/9 = 4.88

Now that we have a decimal we must round by 1 to the left side of the decimal point and make the right side 0

So, 4 8/9 would be 5

Ann has 30% less money than mary, and jessica has 70% more money than mary. If the three of them have a total of $102, how much money does each girl have individually?.

Answers

If Ann has 30% less money than mary, and jessica has 70% more money than mary and If the three of them have a total of $102, then Ann has $50.7, Mary has $51 and Jessica has $51.7

What is meant by percentage?

A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. It can be stated as a decimal or a fraction and is frequently represented by the sign "%". 50%, for instance, can be written as 0.5 or 1/2. A component or proportion of an entire is represented using percentages. For instance, if a student receives a 75% on an exam, it indicates that they correctly answered 75 out of 100 questions individually. Percentages are often used in everyday life to represent changes such as a rise or fall in pricing, an increase or reduction in population, or a growth or drop in sales. Percentages may be determined in mathematics using a variety of formulae and ideas including proportions, ratios, and decimals.

How to solve?

Ann has 30/100 * $x = $0.3x less money than Mary

Jessica has 70/100 * $x = $0.7x more money than Mary

Mary, Ann and Jessica have a total of $102

Mary + Ann + Jessica = $102

Mary + (Mary - $0.3x) + (Mary + $0.7x) = $102

3Mary = $102 + $0.3x + $0.7x

3Mary = $102 + $1x

3Mary = $102 + $x

3Mary - $x = $102

2Mary = $102

Mary = $102/2 = $51

Ann = Mary - $0.3x = $51 - $0.3x = $50.7

Jessica = Mary + $0.7x = $51 + $0.7x = $51.7

Ann has $50.7, Mary has $51 and Jessica has $51.7.

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If Ann has 30% less money than mary, and jessica has 70% more money than mary and If the three of them have a total of $102, then Ann has $50.7, Mary has $51 and Jessica has $51.7

What is meant by percentage?

A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. It can be stated as a decimal or a fraction and is frequently represented by the sign "%". 50%, for instance, can be written as 0.5 or 1/2. A component or proportion of an entire is represented using percentages. For instance, if a student receives a 75% on an exam, it indicates that they correctly answered 75 out of 100 questions individually. Percentages are often used in everyday life to represent changes such as a rise or fall in pricing, an increase or reduction in population, or a growth or drop in sales. Percentages may be determined in mathematics using a variety of formulae and ideas including proportions, ratios, and decimals.

Ann has 30/100 * $x = $0.3x less money than Mary

Jessica has 70/100 * $x = $0.7x more money than Mary

Mary, Ann and Jessica have a total of $102

Mary + Ann + Jessica = $102

Mary + (Mary - $0.3x) + (Mary + $0.7x) = $102

3Mary = $102 + $0.3x + $0.7x

3Mary = $102 + $1x

3Mary = $102 + $x

3Mary - $x = $102

2Mary = $102

Mary = $102/2 = $51

Ann = Mary - $0.3x = $51 - $0.3x = $50.7

Jessica = Mary + $0.7x = $51 + $0.7x = $51.7

Ann has $50.7, Mary has $51 and Jessica has $51.7.

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#SPJ4

HURRY I GOT 24 HOURS FOR THIS PLEASE HURRY!!!!!!
The area of the triangle below is 25/24

square inches. What is the length of the base? Express your answer as a fraction in simplest form.

Answers

Answer:

Base is 5/2

Step-by-step explanation:

lets say that 2x = the base.

25/24 = 2( [tex]\frac{1}{2}[/tex]([tex]\frac{5}{6}[/tex])x)

[tex]\frac{25}{24}[/tex] = 2( [tex]\frac{5}{12}[/tex]x)

[tex]\frac{25}{24}[/tex] = [tex]\frac{5}{6}[/tex]x

[tex]\frac{25}{24}[/tex] times [tex]\frac{6}{5}[/tex]= x

5/4 =x

2x = 10/4

2x = 5/2

write the following algebraically using x as unknown

"i think of a number , take away 1 and multiply the result by 3

Answers

Answer: (x-1) 3

Step-by-step explanation:

This is equation you want

x is unknown -1 in the mark and then times 3!

7) Skyler buys 8 T-shirts and 5 hats for $220. The next week, he buys 5 T-shirts and 1 had for $112. How
much does each T-shirt and each hat cost? Write a system of equations that can be used to solve the problem.

Answers

The cost of each T-shirt and each hat is $20 and $12 respectively.

Step-by-step explanation:

As given in question that Skyler buys 8 T-shirts and 5 hats for $220.

The next day, he buys 5 T-shirts and 1 hat for $112.

We have to find the cost of T-shirt and hat each.

Let the cost of T-shirt and hat is x and y respectively.

According to the question,

8x + 5y = 220          ............(i)

5x + 1y = 112             ............(ii)

Multiply by 5 in eq. (ii)

25x + 5y = 560        ............(iii)

Now subtract eq. (iii) - eq. (i)

25x + 5y = 560

- 8x + 5y = 220

17x = 340

[tex]x = \frac{340}{17}[/tex]

∴ x = 20

Put the value of x in eq. (ii)

5 x 20 + y = 112

100 + y = 112

y = 112 - 100

∴ y = 12

Hence the cost of each T-shirt and each hat is $20 and $12 respectively.

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