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sergeinik [125]

4 years ago

10

Mr.Jenkins has 48 paintbrushes and 60 tubes of paint to put into cups.The greatest common factor for the number of paint brushes

and the number of tubes of paint is equal to the number of cups Mr.Jenkins has.Find the number of cups Mr.Jenkins has

1 answer:

Flauer [41]4 years ago

5 0

Answer:

Mr. Jenkins has 12 cups.

Step-by-step explanation:

Consider the provided information.

Mr.Jenkins has 48 paintbrushes and 60 tubes of paint to put into cups.

It is given that The greatest common factor for the number of paint brushes and the number of tubes of paint is equal to the number of cups Mr.Jenkins has.

First find the greatest common factor of 48 and 60.

48 = 2×2×2×2×3

60 = 2×2×3×5

Hence, the greatest common factor is 2×2×3=12

Therefore, Mr. Jenkins has 12 cups.

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Answer:

x-intercept (3 ,0)

y-intercept ( 0, –4)

<h3>Step-by-step explanation:</h3><h3 />

12x-9y=36 —> 12x-9(0)=36 —> 12x=36

x=36/12 —> x=3 —> So (x,y)=(3,0)

12(0)-9y=36 —> -9y=36 —> y=36/-9

y= –4 —> So (x,y) =(0,–4)

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If f(x) = x2 – 2x + 3, then find<br> f(-3).<br> Please help meeee

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8 0

4 years ago

Fred's art project involves a series of parallel stripes. If he starts by drawing the line 8x+2y=7, select all the equations tha

coldgirl [10]

Options:

A. $y-1 = 4(x + 8)$

B. $y = -4x + 15$

C. $16x + 4y = 9$

D. $y=-4x$

E. $4x + 2y = 3$

Answer:

B. $y = -4x + 15$

C. $16x + 4y = 9$

D. $y=-4x$

Step-by-step explanation:

Given

$8x + 2y = 7$

Required

Select all equations that could be used.

Equation that could be used in place of $8x + 2y = 7$ must have the same slope.

Calculating the slope of $8x + 2y = 7$

Make y the subject

$2y = 7 - 8x$

$y = \frac{7}{2} - \frac{8x}{2}$

$y = \frac{7}{2} - 4x$

$y = - 4x + \frac{7}{2}$

Using y = mx + b

Where

$m = slope$

The slope is -4

Option A.

$y-1 = 4(x + 8)$

Open bracket

$y - 1=4x + 32$

Collect Like Terms

$y - 4x = 32 + 1$

$y - 4x = 33$

Make y the subject

$y = 4x + 33$

The slope of this line is 4;

Hence, it can not be used.

Option B.

$y = -4x + 15$

The slope of this line is -4;

Hence, it can be used.

Option C.

$16x + 4y = 9$

Solve for4y

$4y=9 - 16x$

Solve for y

$\frac{4y}{4} =\frac{9}{4} - \frac{16x}{4}$

$y =\frac{9}{4} - 4x$

$y = - 4x + \frac{9}{4}$

The slope of this line is -4;

Hence, it can be used.

D. $y=-4x$

The slope of this line is -4;

Hence, it can be used.

E. $4x + 2y = 3$

Solve for 2y

$2y = 3 - 4x$

Solve for y

$\frac{2y}{2} = \frac{3}{2} - \frac{4x}{2}$

$y = \frac{3}{2} - 2x$

The slope of this line is -2;

Hence, it can not be used.

<em>From the calculations above, equations B, C and D are equivalent</em>

6 0

3 years ago