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2 years ago

Write a unit rate for the situation. 880 calories in 8 servings

Mathematics

1 answer:

enyata [817]2 years ago

5 0

Answer:

It would be 110 calories per serving

Step-by-step explanation:

So a unit rate is measuring how much of something is there if one unit of another thing is present. In this case, there are 8 servings and 880 calories. Now, simply divide both sides by 8 in order to get the unit rate for each serving:

880/8 ---> 110 calories per serving

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If ΔABC is an equilateral triangle with, AB = 2x + 17, BC = 6x - 19, AC = 4x-1, find x and the measure of each side

Soloha48 [4]

Answer:

$x=9, AB=BC=AC=35$

Step-by-step explanation:

Equilateral triangles have 3 congruent sides, so all 3 sides have the same length. Therefore, we know that $AB=BC=AC$ . We are given the lengths of all 3 sides in terms of $x$ , but we only need to set two of them equal to each other to solve for $x$ . Let's use $AB$ and $BC$ to solve for $x$ . We know that $AB=BC$ , $AB=2x+17$ , and $BC=6x-19$ . Therefore, we can write the following equation to solve for

$AB=BC\\2x+17=6x-19$ (Substitute given values into equation)

Solving for $x$ , we get:

$2x+17=6x-19\\2x+17-17=6x-19-17$ (Subtract $17$ from both sides of the equation to isolate constants)

$2x=6x-36$ (Simplify)

$2x-6x=6x-36-6x$ (Subtract $6x$ from both sides of the equation to isolate $x$ )

$-4x=-36$ (Simplify)

$\frac{-4x}{-4}=\frac{-36}{-4}$ (Divide both sides of the equation by $-4$ to get rid of $x$ 's coefficient)

$x=9$ (Simplify)

Therefore, $AB=2x+17=2*9+17=18+17=35$ , and $AB=BC=AC=35$ . Hope this helps!

3 0

1 year ago

Ruby has 4 feet of rope that she wants to cut into 5 equal-sized pieces

Sonbull [250]

Answer:

Each length of the rope will be 0.8 feet long

5 0

2 years ago

Read 2 more answers

Write equations for lines

elena-s [515]

y=mx+b

y-y1=m(x-x1)

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2 years ago

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How do you simplify an Algebraic expression ?

NeTakaya

Answer:

You can solve one by... it's hard to explain So i'll just show you

Step-by-step explanation:

Here's an example,

2x+7=4+5x

First you subtract the variables on both sides (lower variable)

2x+7=4+5x

-2x -2x

Which will leave you

7=4+3x

The subtract the whole number on each side (lower number)

7=4+3x

-4 -4

Which will leave you

3=+3x

Then you divide on both sides

3/3 3/3

which should leave you

x=1

5 0

2 years ago

Simplify this expression<br> 10a + 6x-2a-3x

kondor19780726 [428]

Answer:

$3x+8a$

Step-by-step explanation:

Given the following question:

$10a+6x-2a-3x$

In order to find the answer, we combine like terms and then simplify.

$10a+6x-2a-3x$
$=6x-3x+10a-2a$
$6x-3x=3x$
$10a-2a=8a$
$=3x+8a$
$3x+8a$

Hope this helps.

4 0

1 year ago