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belka [17]
3 years ago
12

If mn, solve for x. (3x + 9) (x + 21)

Mathematics
1 answer:
Sloan [31]3 years ago
6 0

2

3x. + 63x + 9x + 189

Step-by-step explanation:

<em>Use</em><em> </em><em>distributive</em><em> </em><em>law</em><em>,</em><em> </em><em>in</em><em> </em><em>other</em><em> </em><em>words</em><em> </em><em>multiply</em><em> </em><em>the</em><em> </em><em>first</em><em> </em><em>bracket</em><em> </em><em>terms</em><em> </em><em>by</em><em> </em><em>the</em><em> </em><em>second</em><em> </em><em>bracket</em><em> </em><em>terms</em><em> </em>

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In a pile of coins there are 7 more quarters than nickels. If there is a total of$2.65 in coins, how many quarters are there?
Alinara [238K]
<span>A quarter is equivalent to 25 cents or $0.25 and a nickel is equal to 5 cents or $0.05. In the given in this item, if there are x nickels then, there are x + 7 quarters. With these and the total amount known, we can now compute for the value of x.
                 (x)(0.05) + (x + 7)(0.25) = 2.65
 Simplifying,
             0.05x + 0.25x + 1.75 = 2.65
 Simplifying further,
                0.3x = 0.9
 The value of x from the equation is 3. Hence, there are 10 quarters.</span>
6 0
3 years ago
Read 2 more answers
Calculate the new balance of an account that has been sitting for three years with a 1.5% interest rate and had an initial depos
maksim [4K]

Answer:

$5225

Step-by-step explanation:

Use the formula for the amount after simple interest: A = P(1 + rt)

"A" is the final amount, or balance.

"P" is the principal, or the starting amount.

"r" is the rate of interest in decimal form.

"t" is the time.

What we know:

P = 5000

t = 3

r = 1.5%

Convert the rate to decimal form by dividing by 100, or moving the decimal place two places to the left.

1.5% => 0.015 = r

Substitute what we know into the formula:

A = P(1 + rt)

A = 5000(1 + (0.015)(3))     <=simplify

A = 5000(1 + 0.045)

A = 5000(1.045)

A = 5225     <= new balance

The new balance of an account is $5225.

4 0
3 years ago
Một ủy ban an toàn kiểm tra ngẫu nhiên 900 công nhân xây dựng trong thời gian làm việc, thấy có 48 công nhân không mang mũ bảo h
Usimov [2.4K]

Answer:

The percentage of workers not wearing the helmets is 5.3 %.

Step-by-step explanation:

A safety committee randomly examined 900 construction workers during their work, and found that 48 workers were not wearing helmets. Estimate the percentage of workers who do not wear protective masks during their working time with 98% confidence

total workers = 900

Not wearing helmet = 48

Percentage which are not wearing the helmets

= \frac{48}{900}\times 100 = 5.3 %%

6 0
3 years ago
What Is the area of the trapezoid​
umka2103 [35]

18m

Step-by-step explanation:

5x3=15 +3 =18

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3 years ago
Look at the figure what is the capacity of the figure, in cubic centimeters
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16*8=128 and 128*12= is 1,536
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