Mother has purchased 75 yards of green fabric and 125 yards of white fabric to make green and white curtains. What is the largest number of curtains she can make if she wants all the curtains to be exactly the same length, and to have no fabric left over? How many yards of each kind of fabric would be used for each curtain?

Answer:

y= -4x +3

Step-by-step explanation:

① Rewrite the equation in the form of y=mx+c, to find the gradient of the given line, m.

x -4y= 20

4y= x -20

y= ¼x -5 (÷4 on both sides)

∴ Gradient of line= ¼

② Find the gradient of the new line.

The product of the gradients of perpendicular lines is -1.

¼(gradient of line)= -1

gradient of line

= -1 ÷¼

= -1 ×4

= -4

③ Substitute the value of the gradient into the equation.

y= -4x +c

④ Find the value of c by substituting a pair of coordinates.

When x= 2, y= -5,

-5= -4(2) +c

-5= -8 +c

c= -5 +8 (+8 on both sides)

c= 3

Thus, the equation of the line is y= -4x +3.

Answer:

Step-by-step explanation:

Equation for weight of toy cars:

Equation for weight of toy trucks:

Solving the system by substituting y:

Intersection point is (5, 50)

See attached graph

Answer:

20!

Step-by-step explanation:

Answer: 25% of 80 is 20 so if you need to add them it would be 100 and if you need to minus it would be 60

Step-by-step explanation:

Answer:

g(x) will be 4 units under f(x), and will be parallel.

Step-by-step explanation:

The only thing changing is the constant, or y-intercep. This is shown in -4, so 4 units lower. Slope will stay the same because it has not been modified in the expression for g(x).

Answer:

The graph of g(x) is the graph of​​ ​f(x)​ translated 4 units down.

Step-by-step explanation:

Answer:

In the first picture is B

In the second is C

Step-by-step explanation:

Answer:

the first one is A. 2n + 2 and the second is C. 3(y + 2)

Step-by-step explanation:

So for the first one, 5n + 2 - 3n, is basically combining the factors with the variable n, so you subtract 3n from 5n, giving you 2n + 2, or A.

The second one is kinda reverse. You have to find the one that makes the most sense via Distributive Property. So what you do is separate 3 from the others and put y + 6 in parentheses, like this:

3(y + 6)

But this isn't the answer, as if you do the distributive property with this answer, you would get 3y + 18, and that's not what we want to get. So what we have to do is divide 6 by 3, giving us 2, thus giving us our answer of C.

Hope I helped! ^w^

Answer:

x=16 alternate interior angles converse

Step-by-step explanation:

Answer:

ummmm honey I'm confused already

Answer:

Question 1: -3 and 6 in that order

Question 3: 3 and y=1/2x+3 in that order

Question 2: 2 and y=2x+4 in that order

Step-by-step explanation:

:)

Answer:

Step-by-step explanation:

5.00 for 2 loaves is $2.50 a loaf.

She wants 5 loaves for $12.50

5*2.50= $12.50 so she is correct.

Answer:

A im sure

Step-by-step explanation:

Step-by-step explanation:

D. The lines intersect at a right angle

Answer:

y = 2x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, 5) and (x₂, y₂ ) = (0, - 3)

m = [tex]\frac{-3-5}{0-4}[/tex] = [tex]\frac{-8}{-4}[/tex] = 2

The line crosses the y- axis at (0, - 3) ⇒ c = - 3

y = 2x - 3 ← equation of line

Answer:

28 pints of yellow paint needed

Step-by-step explanation:

Mixture of green paint = 9 pints of blue paints : 12 pints of yellow paint

Blue paint : yellow paint = 9 : 12

To make the same shade of green paint using using 21 pints of blue paint, how much yellow would you need?

Let

x = pints of yellow pint needed

Blue paint : yellow paint = 21 : x

Equate the ratios to find x

Blue paint : yellow paint

9 : 12 = 21 : x

9/12 = 21/x

Cross multiplication

9 * x = 12 * 21

9x = 252

Divide both sides by 9

x = 252 / 9

= 28

pints of yellow pint needed = x

= 28

Answer:

A 75

Step-by-step explanation:

i did flvs

Answer:

75 degrees im doing the test now

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

Answer:

[tex]V=15.62\ cm^3[/tex]

Step-by-step explanation:

The volume of a cube is given by the formula :

V = s³, where s represents the side length of the cube

The side length of Marie's cube is [tex]2\dfrac{1}{2}\ cm[/tex]. We need to find the volume of her cube. For this, we can use the formula of the volume of a cube such that,

[tex]V=(2\dfrac{1}{2})^3\\\\=(\dfrac{5}{2})^3\ cm^3\\\\=\dfrac{125}{8}\ cm^3\\\\=15.62\ cm^3[/tex]

So, the volume of her cube is [tex]15.62\ cm^3[/tex].

Answer:

x = 120

Step-by-step explanation:

x/12 - 9 = 1

Inverse operations

x/12 - 9 = 1

       +9    +9

x/12 = 10

 *12    *12

x = 120

Answer:

x=120

Step-by-step explanation:

Answer:

zoomMeeting ID: 8570913589 Passcode: K58Ech

Explanation:

NO FACE SHOWING   N^de ZOOM

Step-by-step explanation:

The list of single digit primes is {2,3,5,7}. The largest prime is 7, so B = 7 is the largest possible value.

Also note how 707,747 rounds to 708,000 when rounding to 3 significant figures.

Answer:

Step-by-step explanation:

If Angela bought gift for her friend and each gift costs 10$. This means that the more the number of her friends, the more the money she will pay and vice versa. This is known as a direct relationship.

Let y represent the total cost and

x represent the number of gifts

According to direct variation]

y ∝ x

y = kx

k is the constant of proportionality

If each gift item cost $10, x gift will cost 10x. The constant of proportionality in this case will be 10. Substituting, the equation will become;

y = 10x

Hence the required relationship is y = 10x

Answer:

7(x+5)

Step-by-step explanation:

The greatest common factor is 7

7*x + 7*5

Factor out the 7

7(x+5)

Answer:

3

Step-by-step explanation:

It means absolute value 7 plus -4

This means that if it were a -7, it would become positive because it is under absolute value bars...since it is positive nothing changes

7-4= 3

About 28cm

circumference of a circle =radius×3.14

3.14÷circumference of the circle (88cm)=28.04.

About 28cm.

Answer:

See Explanation

Step-by-step explanation:

[tex]25x + 30y = 340\\y = 2x\\[/tex]

x=number of hours Isaiah worked.

y=number of hours Cooper worked

Answer:

bruh bruh bruh burh ty sm

Bru i finna dip chip & let it rip

sorry br*h is censored for some reason

Answer:

AAS

Step-by-step explanation:

Hope this helps

Answer:

325.6

Step-by-step explanation: