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ANSWER

B. Andy did not graph 3 3/4

EXPLANATION

That measure, 3 3/4 in, is not graphed on the plot line.

Answer:

ramila ate four ninth of orange before lunch and two-ninths of orange after lunch.how much of the orange did she eat at All?

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

7, 7, 3, 2, 7, 16, 12, 16, 12 ​

mode = ?

Step 02:

7, 7, 3, 2, 7, 16, 12, 16, 12 ​

n = 9

2, 3, 7, 7, 7, 12, 12, 16, 16

The mode is the value that appears most frequently in a serie of data.

mode = 7

The answer is:

The mode is 7.

Answer:

There are 45 packets of biscuits

Step-by-step explanation:

Ratio    Actual

5                           Sweets

3                           Biscuits

8           120           Total

Make a proportion:

[tex]\frac{Bicuit}{total}[/tex] = [tex]\frac{biscuits}{total}[/tex]  ratio on the left and actual on the right

[tex]\frac{3}{8}[/tex] = [tex]\frac{x}{120}[/tex]       x equals the unknown actual biscuit count.

8 x 15 =120, so solve for x by multiplying 3 by 15

x = 45

Answer:

15

Step-by-step explanation:

equation=

[tex]5x+3x=120\\equals..\\8x=120\\x= 15[/tex]

There are 15 packets each of both sweets and biscuits.

Check!

[tex]5(15)=75[/tex] sweets

[tex]3(15)=45[/tex] biscuits

[tex]75+45=120[/tex] sweets and biscuits altogether

Hence, there are 15 packets of biscuits.

Answer:84

Step-by-step explanation:

200 - 2x = 32-2x = -168x = 84

Answer:

His age is 84

The inequality to solve is,

We will use the distributive property (shown below) to simplify the expression. Then, we will use algebra rules to solve the inequality.

Distributive Property

The simplification process >>>

x + y = 150

5x + 8y = 930

y = -x + 150

5x + 8(-x + 150) = 930

5x - 8x + 1200 = 930

-3x = -270

x = 90

90 + y = 150

y = 60

90 boletas para estudiantes y 60 a los invitados vendieron

We need to estimate the sum:

In order to do so, we first round each term to the nearest integer. Then we add them.

We have:

Then, we can estimate the sum to be:

Therefore, option C is correct.

We have to add the jumping jacks from 4:00 (not included) to 11:00.

So we have to add:

The answer is option b) 56.

The value of the function f(x) = 2x -1 when f(x) = 7 is 13.

Function:

A function is defined as a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given,

Here we have the function f(x) = 2x - 1.

Now, we need to find the value of the function when f(7).

To find the value of f(7), we have to replace the value of x with the value 7.

Then we get the equation like the following,

f(7) = 2(7) - 1

Now, we have to expand the terms in order to solve it,

f(7) = 14 - 1

When we subtract it, then we get the value of

f(7) = 13.

Therefore, the value of f(7) = 13.

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The elements in the first 3 columns are the coefficients of system of equations.

The 4th column are the constants of the system of equations.

This is a system of 3 equations.

Let's write the system using the variables x, y, and z. Shown below:

Let's simplify and write the equations:

In the given figure

There is a triangle RST

∵ RU is perpendicular on ST and bisects it

∴ Triangle RST is an isosceles triangle

∴ RS = RT

∵ RS = 3x + 9 and RT = 7x + 17

Equate them

∵ 7x + 17 = 3x + 9

Subtract 3x from both sides

∴ 7x - 3x + 17 = 3x - 3x + 9

∴ 4x + 17 = 9

Subtract 17 from both sides

∵ 4x + 17 - 17 = 9 - 17

∴ 4x = -8

Divide both sides by 4 to find x

∴ x = -2

Now substitute x by -2 in the expression of RS to find its length

∵ RS = 3(-2) + 9

∴ RS = -6 + 9

∴ RS = 3

In the given situation the angle of depression is θ. To find it, use the trigonometric ratio of tangent of angle θ in a right triangle (the ratio of tangent is the relation between the two legs of a right traingle):

In the given situation the opposite leg to the angle of depresion is the distance between the base of the plateau and the Jedi Trainee and the adjacent leg is the sum of 500ft in the air and Chewbacca's eye height:

Hence the second option, [tex]y=\frac{2}{3}x +\frac{11}{3}[/tex] is the correct option.

What is slope interception form?

Y=mx+b, where m is the slope and b is the y-intercept, is the slope intercept form. The graph of the linear equation can be drawn on the x-y coordinate plane using this form of the equation.

For the given question we are given,

slope (m) = 2/3

and we are also given the point that the line passes through to be,

(-1,3).

that is

(x,y)=(-1,3)

x=-1

y=3

we, know that slope interception form is of the form,

y=mx+c

substituting the value of m (slope) and the point (-1,3) we get

3=(2/3)*(-1)+b

=   3= -2/3 +b

=   3+2/3=b

=    (9+2)/3=b

=     11/3=b

from this we get b=11/3

now substituting this again in

y=mx+b

we get

y=(2/3)x+(11/3)

Hence the second option [tex]y=\frac{2}{3}x +\frac{11}{3}[/tex] is correct.

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Answer:

y=5.5x+8

Step-by-step explanation:

For the first deal we get 6 goodie bags for $12, let's find how much each goodie bag cost in this case by dividing $12 by 6:

In the first deal, each goodie bag costs $2.

For the second deal, we get 4 goodie bags for $12, let's also find how much is 1 goodie bag in the scenario:

In the second deal, each goodie bag costs $3.

The better deal is the first one because each goodie bag is cheaper than in the second deal.

Answer: $12 for 6 goodie bags is the better deal

Answer:

57.97507788%

Step-by-step explanation:

Write the problem as a mathematical expression.

372.2

642    

Multiply by 100 to convert to a percentage.

372.2

642     * 100

Simplify

372.2.

642.      * 100 = 57.97507788%

Given that:

- A race car game takes 6 points each time the player hits a cone.

- You must find the integer that represents the change in total points if the player hits 10 cones.

It is important to remember that the Set of Integers contains the negative numbers, the positive numbers, and zero.

Then, by analyzing the data given in the exercise, you can identify two integers that must be multiplied, in order to calculate the total points if the player hits 10 cones. These are:

Since the game takes 6 points from the player each time this hits a cone, the integer that represents the points taken from the player must be negative.

In order to multiply the integers, you need to remember the Sign Rules for Multiplication:

Therefore, you get this result:

Hence, the answer is:

30,60,90,

Step-by-step explanation:

The area of the larger triangle will be equal to 36 square units.

Triangle may be defined as a closed figure of three sides and three interior angles. Scaling of image may be defined as a ratio that can be used to represent the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object. Dilation may be defined as the process for creating similar figures by changing the size. A graph can be defined as a pictorial representation or a diagram that represents data or values. According to question the area of smaller triangle is given as 9 square units. After scaling the length of scale copies become double and the area becomes four times. So, the area of bigger triangle is 4×9 = 36.

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Complete Question:

These two triangles are scaled copies of one another. The area of the smaller triangle is 9 square units. What is the area of the larger triangle? Explain or show how you know.

Answer:

Explanation:

Here, we want to get the amount of money it costs each of the friends to bowl

Let us call this cost x

For the 9, the cost will be:

To rent a bowling shoe, it costs $3, the cost for all will be :

The sum of the bowling cost and the shoe rental cost is a total $162

Mathematically, we have it that:

It costs each of the friends $15 to bowl excluding the shoe rental cost

Let there are x pets in the store. So 90% of all pets means that 0.9x.

The equation for the dogs anf total pets in the store is,

Simplify the equation to obtain the value of x.

So there are 60 pets in the pet store.

The value of

which can be written as:

is

Solve the system of equations:

step 1: Substitute the value of 2y-3 for x in equation (2) and solve for y

step 2: Solve for x by substituting 4 for y in equation (1)

Therefore, the solution to the system of equations in ordered pair is

The function is one-one can be dtermined by using horizontal line test. If horizontal line on the graph of function intersect the function more than once then such function is not one-one. The graph of function is,

Since horizontal lines intersect the curve of function only once so function is one-one.

Determine the inverse of the function.

Interchange x with y and y with x and simplify the obtain equation for x.

Substitute y by x for the inverse of function.

So inverse of the function is -2x/(3x - 2).

So functions f and g are inverse of each other if,

Check the obtained inverse function by composition.

Step 1

Redraw the cyclic quadrilateral

From the image;

Step 2

Find the measure of angle R

Find the measure of angle T

Find the measure of angle U

Find the measure of Arc SRU

Find the measure of Arc mRUT

Find the measure of mRST

Answer:

Step-by-step explanation:

Given quadrilateral ABCD with AB≅AC, DA≅DC, ∠ABC≅∠ADC, and one of the corner angles equal to 150°, you want the measures of all corner angles.

The given congruent angles and sides are marked in the attached diagram. If we let ∠ACB = x and ∠ACD = y, we can write some equations involving the sums of the various angles.

First of all, we note that both triangles are isosceles. That means ...

The sum of angles in ∆ACD must be 180°, so we have ...

  x + 2y = 180°

We know that the isosceles triangle base angles cannot exceed 90°, so the angles at corners B and D cannot be 150°. That leaves two possibilities:

(a) Corner angle C is 150°   ⇒   x + y = 150°

(b) Corner angle A is 150°   ⇒   (180°-2x) +y = 150°

(a) Corner C is 150°

This makes the system of equations for x and y be ...

Subtracting the second from the first gives y = 30°, and substituting that value for y gives x = 120°. We already know x is the base angle of an isosceles triangle, so cannot have that value. This possibility is eliminated.

(b) Corner D is 150°

This makes the system of equations for x and y be ...

The second of these equations can be rearranged to ...

  2x -y = 30°

Adding twice this to the first equation, we have ...

  2(2x -y) +(x +2y) = 2(30°) +(180°)

  5x = 240°

  x = 48°

Substituting for x in the second equation gives ...

  2(48°) -y = 30°

  96° -30° = y = 66°

As we noted in the solution part (a), corner angle C is the sum of x and y:

  ∠BCD = x +y = 48° +66° = 114°

Then the corner angles are ...

The attached figure is drawn to scale.

The mass of isotope 239-Pu left after 4000 years is approximately 3.3g

Radioactivity is the phenomenon of the spontaneous disintegration of unstable atomic nuclei to atomic nuclei to form more energetically stable atomic nuclei. Radioactive decay is a highly exoergic, statistically random, first-order process that occurs with a small amount of mass being converted to energy.

In solving the disintegration constant, we can use the half-life formula.

The half-life of a sample is given as;

[tex]T_\frac{1}{2} = \frac{ln2}{\lambda}[/tex]

Substituting the values into the equation;

[tex]T_\frac{1}{2} = \frac{ln2}{\lambda}\\24100 = \frac{ln2}{\lambda} \\\lambda = \frac{ln2}{24100} \\\lambda = 0.00002876years^-^1[/tex]

The formula of radioactivity is given as

[tex]N = N_oe^(^-^\lambda ^t)[/tex]

We can plug in the values and solve.

[tex]N = N_oe^(^-^\lambda ^t)\\N = 3.7e^-^(^0^.^0^0^0^0^2^8^7^6 ^*^4^0^0^0^)\\N = 3.297g\\N = 3.3g[/tex]

The amount left after 4000 years is 3.3g.

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