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2 years ago

What does y equal if 5x+y=40

1 answer:

5 0

Y= -5x+40 you subtract 5x from both sides. Since 5x-5x cancels out it leaves you with a positive Y, and -5x cant be subtracted from 40 because of the variable,x.

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30 tens = ones<br> 30 tens = hundreds

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30 tens=ones is not right so it should be 30 tens=hundreds

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3 years ago

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Solve for the rate (as a %). Round to the nearest tenth of a percent when necessary.

Ivanshal [37]

Answer:

Part 1) $168.8\%$

Part 2) $12.6\%$

Part 3) $\$7,046.15$

Part 4) $116.67$

Part 5) $0.6\%$

Part 6) $\$570$

Step-by-step explanation:

Part 1) Solve for the rate (as a %). Round to the nearest tenth of a percent when necessary.

What percent of 1,600 is 2,700?

Let

x ----> the rate

In this problem the base ( number that represent the 100%) is 1,600 and the portion is 2,700

using proportion

$\frac{100\%}{1,600}=\frac{x\%}{2,700}\\\\x=2,700*(100)/1,600\\\\x= 168.75\%$

Round to the nearest tenth of a percent

$168.75\%=168.8\%$

Part 2) Solve for the rate (as a %). Round to the nearest tenth of a percent when necessary.

$7.40 is what percent of $58.90?

Let

x ----> the rate

In this problem the base ( number that represent the 100%) is $58.90 and the portion is $7.40

using proportion

$\frac{100\%}{\$58.90}=\frac{x\%}{\$7.40}\\\\x=7.40*(100)/58.90\\\\x= 12.56\%$

Round to the nearest tenth of a percent

$12.56\%=12.6\%$

Part 3) Solve for the base (in $). Round to hundredths when necessary.

What is the base if the portion is $4,580 and the rate is 65%?

Let

x -----> the base

using proportion

$\frac{\$x}{100\%}=\frac{\$4,580}{65\%}\\\\x=4,580*100/65\\\\x=\$7,046.15$

Part 4) Solve for the base. Round to hundredths when necessary.

140 is 120% of what number?

Let

x -----> the base

In this problem the rate is 120% and the portion is 140

using proportion

$\frac{x}{100\%}=\frac{140}{120\%}\\\\x=140*100/120\\\\x=116.67$

Part 5) Solve the word problem for the portion, rate, or base.

A quality control process finds 46.8 defects for every 7,800 units of production. What percent of the production is defective?

Find for the rate

Let

x -----> the rate

In this problem the base is 7,800 units and the portion is 46.8

using proportion

$\frac{100\%}{7,800}=\frac{x\%}{46.8}\\\\x=46.8*(100)/7,800\\\\x= 0.6\%$

Part 6) A medical insurance policy requires Ana to pay the first $100 of her hospital expense. The insurance company will then pay 90% of the remaining expense. Ana is expecting a short surgical stay in the hospital, for which she estimates the total bill to be about $4,800. How much (in $) of the total bill will Ana owe?

step 1

Find the 90% of the remaining expenses

$4,800-$100=$4,700 -----> remaining expenses

In this part $4,700 is the base, the rate is 90%

Find the portion

Let

x -----> the portion

using proportion

$\frac{\$x}{90\%}=\frac{\$4,700}{100\%}\\\\x=90*4,700/100\\\\x=\$4,230$

step 2

Find out the total bill that Ana will owe

$\$4,700-\$4,230=\$470$

$\$470+\$100=\$570$

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3 years ago