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3 years ago

-4(r+2)=4(2-4r)solve for r and show work please

1 answer:

6 0

Let's solve your equation step-by-step.−4(r+2)=4(2−4r)Step 1: Simplify both sides of the equation.−4(r+2)=4(2−4r)Simplify(−4)(r)+(−4)(2)=(4)(2)+(4)(−4r)(Distribute)−4r+−8=8+−16r−4r−8=−16r+8Step 2: Add 16r to both sides.−4r−8+16r=−16r+8+16r12r−8=8Step 3: Add 8 to both sides.12r−8+8=8+812r=16Step 4: Divide both sides by 12.12r12=1612r=43Answer:r=43

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3 years ago

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astra-53 [7]

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Step-by-step explanation:

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Serenity has 2\frac{1}{2} 2 1 cups of dough to make dumplings. If she uses \frac{3}{4} 4 3 cup of dough for each dumpling, h

BARSIC [14]

3 dumplings can be made by Serenity

Solution:

Given that,

Serenity has $2\frac{1}{2}$ cups of dough to make dumplings

She uses $\frac{3}{4}$ cup of dough for each dumpling

To find: Number of whole dumplings made

From given information,

$\text{Total cups of dough } = 2\frac{1}{2} = \frac{2 \times 2+1}{2} =\frac{5}{2}$

$\text{Cups of dough for 1 dumpling } = \frac{3}{4}$

To find the number of whole dumplings made, we can divide the total cups of dough by cups of dough for 1 dumpling

$\text{Number of whole dumplings made } = \frac{\text{total cups of dough}}{\text{cups of dough for 1 dumpling}}\\\\\text{Number of whole dumplings made } = \frac{\frac{5}{2}}{\frac{3}{4}} = \frac{5}{2} \times \frac{4}{3}\\\\\text{Number of whole dumplings made } = \frac{10}{3} = 3.33 \approx 3$

Thus 3 dumplings can be made

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3 years ago

In Scott’s backyard, he has a windmill that makes 5 ¾ of a turn every hour. How many turns does it make for 1 ½ hours?

DanielleElmas [232]

Answer: 8 5/8 turns

Step-by-step explanation:

Hi, to answer this question we have to simply to multiply the number of turns that the windmill makes per hour (5 3/4) by the time asked (1 ½ hours).

Mathematically speaking:

5 3/4 x 1 1/2 = (5x4+3)/4 x (1x2+1)/2 = 23/4 x 3/2= 69/8 or 8 5/8 (mixed form)

In conclusion, the windmill makes 8 5/8 turns in 1 1/2 hours.

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3 years ago

What is the slope intercept form if an equation with a slope of 8 and a y- intercept of -3

Elza [17]

Answer: y=8x-3

explanation:
y=mx+b
m= slope
b= y intercept

m=8 b=-3
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3 years ago