Mathematics, 13.08.2019 07:10 carter4026

Solve for the rate (as a %). round to the nearest tenth of a percent when necessary.
what percent of 1,600 is 2,700?
%
solve for the rate (as a %). round to the nearest tenth of a percent when necessary.
$7.40 is what percent of $58.90?
%
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%?
solve for the base. round to hundredths when necessary.
140 is 120% of what number?
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?
%
solve the word problem for the portion, rate, or base.
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?

Answers: 2

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Answers

Answer from: xeskimopie

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

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

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

Answer from: Quest

answer is 144

step-by-step explanation:

$(x^{\frac{1}{8} }) (x^{\frac{3}{8} }) = 12\\$

Answer from: Quest

The linear equation is: y=ax+b

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