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Brut [27]
3 years ago
10

Question 1

Mathematics
1 answer:
olga_2 [115]3 years ago
4 0

Step-by-step explanation:

(7r+5s)^2

use the pattern

(a+b)^2=a^2+2ab+b^2

(7r+5s)^2=(7r+5s)(7r+5s)

Apply FOIL method to multiply the parenthesis

(7r+5s)^2=(7r+5s)(7r+5s)

(7r+5s)(7r+5s)\\49r^2+35rs+35rs+25s^2\\49r^2+70rs+25s^2

Compare the expression with (a+b)^2=a^2+2ab+b^2

The value of a=7r and the value of b=5s

Answer :

a=7r ,  b=5s

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3 years ago
Jill gets a base pay of $1500 per month. She also earns a commission of 8% of her total sales. What are Jill's earnings for a mo
mart [117]

Answer:

$4060.

Step-by-step explanation:

We have been given that Jill gets a base pay of $1500 per month. She also earns a commission of 8% of her total sales. We are asked to find Jill's earnings for a month in which she has sales of $32,000.

Jill's earnings for the month would be base salary pus 8% of $32,000.

\text{Jill's total earnings for the month}=\$1500+\$32,000\times \frac{8}{100}

\text{Jill's total earnings for the month}=\$1500+\$320\times8

\text{Jill's total earnings for the month}=\$1500+\$2560

\text{Jill's total earnings for the month}=\$4060

Therefore, the Jill's earnings for the given month would be $4060.

7 0
4 years ago
X-y=-3<br> I just kinda need the answer
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5 0
3 years ago
Richard is given one of four pieces of equal-sized fabric. After using some of his fabric for a project, he has 5/6 of a square
ValentinkaMS [17]

Answer:

Richard used 2\frac{1}{12}\ yd ^2 of fabric for his project.

Step-by-step explanation:

Given:

Total amount of fabric = 11\frac23\ yd^2

Now To convert a mixed fraction to an improper fraction, Multiply the whole number part by the fraction's denominator,  Add that to the numerator,Then write the result on top of the denominator.

11\frac23\ yd^2 can be Rewritten as \frac{35}{3}\ yd^2

Number of pieces fabric was cut = 4

Richard is given one of four pieces of equal-sized fabric.

Amount of fabric Richard was given = \frac14 \times \frac{35}{3}=\frac{35}{12}\ yd^2

Amount of fabric left with Richard = \frac56 \ yd^2

We need to find the amount of fabric Richards used for his project.

Solution:

Now we can say that;

amount of fabric Richards used for his project is equal to Amount of fabric Richard was given minus Amount of fabric left with Richard.

framing in equation form we get;

amount of fabric Richards used for his project = \frac{35}{12}-\frac56

Now we will make the denominator common using LCM we get;

amount of fabric Richards used for his project = \frac{35}{12}-\frac{5\times2}{6\times2} = \frac{35}{12}-\frac{10}{12}

Now Denominator is same so we will solve the numerator.

amount of fabric Richards used for his project  = \frac{35-10}{12}= \frac{25}{12}\ yds^2

\frac{25}{12}\ yds^2 can be rewritten as 2\frac{1}{12}\ yd ^2

Hence Richard used 2\frac{1}{12}\ yd ^2 of fabric for his project.

7 0
3 years ago
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