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2 years ago

What is a reasonable estimate for the sum of 4 1/8+3 2/3+5 1/2

2 answers:

7 0

A responsible estimate would be 14.
You estimate each of the mixed numbers to the nearest whole number:
4 1/8=4 because 1/8 is less than 1/2 so the number stays the same
3 2/3=4 because 2/3 is grater than 1/2
5 1/2 =6 because 1/2 is equal to 1/2 which means you estimate up.
So 4+4+6=14

Bingel [31]2 years ago

4 0

First, mentally add the whole numbers.
4+3+5=12
Now, look at the fractions. 1/8, 2/3, and 1/2.
2/3 is bigger than 1/2, so you can add in another whole number.
12+1=13
1/8 is tiny, and won't add a whole lot to the mix, so just leave that.
A reasonable estimate would be 13 1/8

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Part 2) $x=27$

Step-by-step explanation:

Part 1) Simplify the given equation

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$6 - (3x + 10)+4(2 - x)=15$

In the left side, remove the parenthesis and apply the distributive property

Remember that

$(-1)(+1)=-1\\(-1)(-1)=+1$

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Divide by 7 both sides

$x=-\frac{11}{7}$

Part 2) Solve for x.

$5(x + 1) = 4(x + 8)$

Apply distributive property both sides

$5x+5=4x+32$

Group terms that contain the same variable

$5x-4x=32-5$

Combine like terms

$x=27$

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3 years ago

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Harman [31]

Answer:

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