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3 years ago

7 has been subtracted from the product of x and 7=

Mathematics

1 answer:

steposvetlana [31]3 years ago

5 0

Answer:

7x - 7

Step-by-step explanation:

Product of x and 7 = 7x

7 minus 7x

7x - 7

Hence the expression is :

7x - 7

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The explicit formula for a sequence is

Alexandra [31]

Answer:

Step-by-step explanation:

Let n = 21, and evaluate the expression.

$a_n = -2 + \dfrac{3}{2}(n - 1)$

$a_{21} = -2 + \dfrac{3}{2}(21 - 1)$

$a_{21} = -2 + \dfrac{3}{2}(20)$

$a_{21} = -2 + \dfrac{3}{1}(10)$

$a_{21} = -2 + 30$

$a_{21} = 28$

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2 years ago

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4/3 π (3^3) = 36π = 36*3.14 = 113.04 ft^3

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2 years ago

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3 years ago

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Find the secant of both angle A and angle B.

Harlamova29_29 [7]

The secant of an angle is <span>the ratio of the hypotenuse to the shorter side adjacent to an acute angle. It is the reciprocal of cosine function. Therefore, the correct answer from the choices is option B.

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2 years ago

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