how many time can 7 go into 65

The equation in slope-intercept form that represents the situation is y = 5x + 25.

In 3 weeks Ellie she saved $40 and $60 in 7 weeks.

Let x and y represent the number of weeks and the total amount saved respectively.

The equation of a line in slope intercept form is given as:

y = mx + b where m is the slope and b is the y-intercept.

Now when x = 3, y = $40.

Therefore,

y = mx + b

40 = 3m + b                                                                                 --------------(1)

When x = 7, y = $60

y = mx + b

60 = 7m + b                                                                                 -------------(2)

Subtracting (1) from (2),

7m + b - 3m - b = 60 - 40

4m = 20

m = 5

So,

3m + b = 40

3(5) + b = 40

15 + b = 40

b = 25

Hence, the equation of the line in slope intercept form is y = 5x + 25.

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Answer:

Explanation:

Let x represent unknown side length

We can go ahead and find x using the Pythagorean Theorem as seen below;

Let's find sin A as seen below;

Let's find cos A as seen below;

Let's find sin B as seen below;

Let's find cos B as seen below;

Answer:

The cost of a card is 4 dollars

The cost of a baseball is 18 dollars

Step-by-step explanation:

13c + 9b = 214

 3c + 8b = 156

(13c + 9b = 214) × -8

( 3c + 8b = 156) × 9

-104c - 72b = -1712

  27c + 72b = 1404

-------------------------------

-77c = -308

÷-77      ÷-77

--------------------

c = 4

3c + 8b = 156

3(4) + 8b = 156

12 + 8b = 156

-12             -12

----------------------

8b = 144

÷8     ÷8

------------------

b = 18

I hope this helps!

Explanation

Given the expression

We are asked to find the remainder. We can use the remainder theorem. This can be seen below.

According to this theorem, if we divide a polynomial P(x) by a factor ( x – a); that isn't essentially an element of the polynomial; you will find a smaller polynomial along with a remainder.

All we need to do is to substitute the value of (a) in the numerator to get the remainder. a is represented in the denominator.

Therefore, we will have;

Answer:

5z² + 35z - 90 = 0

5(z² + 7z - 18) = 0

z² + 7z - 18 = 0

(z - 2)(z + 9) = 0

r=−9, s=2

STEPS USING THE DIRECT FACTORING METHOD

5z²+35z−90

This quadratic equation can be resolved using a revolutionary direct factoring technique that does not rely on guesswork. The equation must have the form x2+Bx+C=0 to be solved using the direct factoring approach. To do this, multiply both sides of the equation by 5.

x²+7x−18=0

Let r and s be the factors for the quadratic equation such that x²+Bx+C=(x−r)(x−s) where the sum of factors (r+s)=−B and the product of factors rs=C

r+s=−7

rs=−18

When the average of the two integers is 1/2*-7=-7 /2, the sum of the two numbers r and s are exactly 7. You can also observe that the parabola symbolized by the quadratic equation y=x2+Bx+C has its axis of symmetry in the middle of r and s. An unknown quantity u separates the values of r and s from the center at an equal distance. Describe r and s about the variable u.

r=−7​/2−u

s=−7​/2+u

Put these in the product equation rs=-18 to solve for the unknown quantity u.

(−27​−u)(−27​+u)=−18

Simplify by expanding (a−b)(a+b)=a2–b2

49​/4−u²=−18

Simplify the expression by subtracting 49/4 on both sides

−u2=−18−49​/4=−121​/4

To find the value of the unknowable variable u, simplify the expression by multiplying by 1 on both sides and taking the square root.

u2=121/4

u=±√121/4=±11/2

The factors r and s are the solutions to the quadratic equation. Substitute the value of u to compute the r and s.

r=−7/2−11​/2=−9

s=−7​/2+11​/2=2

Therefore, r=−9, s=2

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Solution:

Given:

When the cardboard is folded to become a box (cuboid), it will have the following dimensions after the cut of squares from each corner;

The volume of a cuboid is given by;

Solve the quadratic equation by factorization;

Hence, the dimension of the original piece of cardboard is;

Therefore, the dimensions of the original piece of cardboard are 26 in by 22in

Answer:

One solution.

Explanation:

Let us try to solve the equation and see how many solutions it has.

The first step in solving the equation is to first simplify both the right-hand and the left-hand sides. This means adding all the like terms.

Next, we add 7 to both sides. This gives

dividing both sides by 3 gives

which is exactly one solution!

Therefore, our equation had one solution.

Answer:

(0,8)

Step-by-step explanation:

What is needed in order to be a function?

A value of x cannot have more than one value of y. In this question, we have that for x = 0, there are 2 values of y: -2 and 8. So one of those can be removed.

Among the options, we have: (0,8), which is the correct answer

The result obtained from measuring length is called a linear measurement and is stated in linear units.

The linear measurement is the distance between the two objects or points. The linear measurement is a single dimension measurement

The unit of the measurement of the length is called linear units. In US system of measurements the linear units are feet, yard and inch etc..,In metric system the linear units are meter, centimeter, decimeter etc..

Therefore the result obtained from measuring length is called a linear measurement and is stated in linear units.

Hence, the result obtained from measuring length is called a linear measurement and is stated in linear units.

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The statement that is true about the triangle is that D. The triangles are similar by the SSS similarity theorem.

It should be noted that congruence simply refers to a scenario where there are the same triangles.

The SSS Similarity Theorem states that two triangles are similar if all three pairs of matching sides are proportionate.

Compare the shortest sides first, followed by the longest sides, when applying the SSS Similarity Theorem. Two triangles are similar if their corresponding side lengths are proportionate to one another.

Therefore, triangle LMN and PQR are the same.

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The triangles are not similar, but they are congruent.

The triangles are neither similar nor congruent.

The triangles are similar by the SAS similarity theorem.

The triangles are similar by the SSS similarity theorem.

Answer:

d) The triangles are similar by the SSS similarity theorem.

Answer: The triangle is not possible.

Step-by-step explanation:

1) Find the missing angle

62+59+x=180

x=59

2) Use the Law of Sine to check if the triangle sides are the same.

The Law of sine means that Sine the angle and divide with the side across it will equal to same.

[tex]\frac{sin(x)}{x} =\frac{sin(y)}{y}[/tex]

Substitute the numbers.

[tex]\frac{sin(59)}{10} =\frac{sin(62)}{10}[/tex]

0.0636 = -0.0739

3) Solve

Since the decimals aren't the same, the triangle is not possible.

Answer:

1/4

Step-by-step explanation:

I'm 95% sure that this is the answer. if im not correct, im sorry for wasting your time having to read all of this, and im sorry i couldnt help.

For a, b, and c to be the lengths of a triangle they must satisfy the following system of inequalities:

Now, notice that:

Since the given numbers do not satisfy the last inequality, then they cannot be the lengths of a triangle.

Answer: No it is not possible to construct a triangle with lengths 7, 54 and 45, because:

The given expression is : _( 4t + _ ) = 6t + 15

In the 6t + 15,

Answer:

hey bro listen

Step-by-step explanation:

you can't always

get the answers

here try to

do yourself and

see your potential.

Lewis uses cubes to represent each term of a pattern based on a recursive function. the recursive function defined is f(n+1)=f(n)+4, where n is an integer and n≥2. the number of cubes used in each of the first two figures is shown below. how many cubes does Lewis need in the third, fourth, and fifth figures of the pattern? fill in the blanks.



figure 1: 9 cubes

figure 2: 13 cubes

figure 3: (blank)

figure 4: (blank)

figure 5: (blank)​

Let

f(0)=5

so

For n=0

f(1)=5+4=9

f(1)=9

For n=1

f(2)=9+4=13

f(2)=13

For n=2

f(3)=13+4=17

For n=3

f(4)=17+4=21

For n=4

f(5)=21+4=25

For n=5

f(6)=25+4=29

therefore

theanswer is

Answer:

The ratio of flour to butter is 3:2

Step-by-step explanation:

:]

The value of x should be equal to 23

Given

Angle at the top is 86

also equation 3x + 17

The lines are parallel

We know if a transverse line is drawn across two parallel lines then 3 types of angles would form namely Corresponding angle, alternate angle, Opposite angle.

From the geometry  the angle 86 and the equations 3x + 17 are alternative angles.

Since alternative angles are equal 86 will be equal to 3x + 17

Now equating both

86 = 3x + 17

86 - 17 = 3x

69 = 3x

x = 23

Hence the value of x is equal to 23

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Answer: x=23

Step-by-step explanation:

Im not going to bore you with long algebra but basically 86-17=3x

69=3x inverse you get 23

To simplify 3y-5y+10y-4y​, just add and subtract the coefficients of each term. That is, 3 - 5 + 10 - 4 = 4, which means that the final expression is 4y.

3/5 of the T-shirts of the shop are on sale

5/8 of those on sale are blue

1/3 of the blue shirts on sale are medium size.

First calculate how many of the shirts on sale are blue:

25/24 of the shirts on sale are blue

Then divide that number by three to know how many are medium size:

25/72 are blue and medium size

The required graph below which represents the given equation of the ellipse is (x +7)²/49 + (y-5)²/25 = 1. Which is the correct answer would be option (C).

An ellipse can be defined as a shape that looks like an oval circle.

The equation of the ellipse is (x +7)²/49 + (y-5)²/25 = 1 which is given in the question.

An asymptote is a line that a curve approaches, but never touches. Find the horizontal, vertical, and oblique asymptotes.

Center of the ellipse : (−7,5)

Vertex 1: (0,5)

Vertex 2: (−14,5)

We have attached the required graph below which represents the given

equation of the ellipse is (x +7)²/49 + (y-5)²/25 = 1.

Hence, the correct answer would be an option (C).

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The given expression (−2)3 x 30 x (−4)(−20) will have the value as -14400

In the above question, the following mathematical expression is given :

(−2)3 x 30 x (−4)(−20)

We need to find the value of the given expression by solving it using the BODMAS rule

According to the rule, first we'll solve the multiplication then subtraction

Therefore, we get

(−2)3 x 30 x (−4)(−20)

(-6) x 30 x (-)(-)80

We know, that (-) x (-) = +

and (-) x (+) = (-)

Therefore, we get

(-6) x 30 x (-)(-)80

(-6) x 30 x 80

-6 x 2400

- 14400

Hence, the given expression (−2)3 x 30 x (−4)(−20) will have the value as -14400

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ANSWERS

• P(2) = 11

• P(-1) = 14

• P(0) = 7

EXPLANATION

Every time we have to evaluate a function, what we have to do is replace the variable with the value and solve the operations.

Let's solve P(2),

Solve the powers first,

Then the products,

And then the additions/subtractions,

The process is the same for the other two values,

And,

Hence, P(2) = 11, P(-1) = 14 and P(0) = 7.

Answer:

0.72

Step-by-step explanation:

The answer is that because all you have to do is just 2.16 divided by 3. Equalling to 0.72. Now we just have to do 0.72 + 0.72 + 0.72 and that would equal $2.16.

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Answer:x=3

Step-by-step explanation: if they are similar lets say for instance BD is congruent to QS.

so TP is congruent to AE and AE is three so TP has to be three.

hope this helps!

Answer: 577

Step-by-step explanation:

Answer:

577.0      

Rounded to the nearest 0.1 or

the Tenths Place.

Step-by-step explanation:

576.984

You rounded to the nearest tenths place. The 9 in the tenths place rounds up to 10 because the digit to the right in the hundredths place is 8.

Because the tenths place was rounded up from 9 to 10, the tenths place becomes 0 and the ones place is increased by 1. When a 9 is rounded up to 10, that place value becomes 0 and we add 1 to the previous place value.

577.0

When the digit to the right is 5 or greater we round away from 0.

576.984 was rounded up and away from zero to 577.0

To be able to compare the weight of the boxes, we need to have their weight in decimal form:

Box A --> 212.04 kilograms

Box B --> 212 1/4 kilograms

Convert 212 1/4 to decimal:

Box B --> 212.25

We can see that the weight of box B is more than the weight of box A, so we discard options A and C.

To find how much more is the weight of box B, we subtract the quantities:

Answer: Box B weighs 0.21 of a kilogram more than box A

To solve a system of equation using elimination:

1. If it is necesary multyiply one of both equations for a number that makes each equation have an opposite term to the other equation.

In this case the equations already have opposite terms (2x and -2x)

2. Add equations:

3. Solve the variable in the result of substraction:

4. Use the value of the variable you get in the previus step to solve the other variable:

The least common denominator of 8/( x²+11x+28 ) and -2/ (x^2+4x) is (x+4).

We have to find the least common denominator of 8/x²+11x+28 and -2/x^2+4x. We can solve this problem by following a few steps.

The denominator of both terms is, x²+11x+28 and x²+4x.

First of all, we have to find the factors of these two terms.

Let's find the factors of x²+11x+28.

x²+11x+28 = x²+11x+28

Or, x²+11x+28 = x²+ 4x+ 7x+ 28        [ we have to break the middle term in such a way as the product of consecutive terms must be 28 ]

Or, x²+11x+28 = x (x+4) +7 (x-4)        [ we have to take ( x+ 4) as acommon ]    

Or, x²+11x+28 = ( x+4 )( x+7 ).................(1)

Now find the factors of x²+4x.

x²+4x = x (x+4)..................(2)          [ We have to take x as a common ]

Therefore, the common term between (1) and (2) is ( x+4 ). So, the least common denominator is ( x+4 ).

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Answer

Volume of the prism = 960 cubic units

Explanaion:

Step 1: Divide the two prism

Volume of a rectangular prism is

l x w x h

Where l = length, w= width, and h = height

The volume = full prism - cut prism

Full prism = 16 * 10 * 8

Full prism = 1280 cubic units

Cut prism = 8 * 10 * 4

Cut prism = 320 cubic units

Volume = 1280 - 320

Volume = 960 cubic units