Allie bought 8.75 yards of rope from Lowe's. The rope cost $2.49 per yard. What was the total cost of her rope to the nearest cent.

Answers

Answer 1

Answer: $2.49 x 8.75 = 21.7875
then round to the nearest cent = $21.79

hope this helps! reply if further explanation is needed :)

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a list has slope -5 and y - intercept (0,3) what is the slope -intercept form of the equation of this line

Answers

y=mx+b
m=slope
b=y intercept

given
slope=-5
yint is (0,3)

y=-5x+3

suppose you invest 1050 at an annual interest rate of 5.5% compounded continuously. How much will you have in the account after 5 years? round the solution to the nearest dollar. HELP please

Answers

For an investment with an interest rate compounded continuously, the formula would be

F = Pe^(rn), where r is the annual interest rate and n is the number of years.
F = 1050e^(0.055*5)
F = $1382.36

I hope I was able to answer your question.

Answer: $1372

Step-by-step explanation:

The formula to calculate the compound amount is given by :-

$A=P(1+r)^t$ , where P is principal amount, r is rate of interest and t is time.

Given: P = $1050

r=5.5%=0.055

t= 5 years

Now, the compound amount after 5 years will be :_

$A=1050(1+0.055)^5\n\n\Rightarrow\ A=\$1372.30800673\approx\$1372$

You will have $1372 in the account after 5 years.

What is the solution to the equation?5(8 + 7) = 5 • x + 5 • 7

A.
x = 1

B.
x = 5

C.
x = 7

D.
x = 8

Answers

5(8 + 7) = 5(8) + 5(7) . . . . . . . . (distributive property)
Therefore, x = 8

X=8 completely right.

Two boys and three girls are auditioning to play the piano for a school production. Two students will be chosen, one as the pianist, the other as the alternate. What is the probability that the pianist will be a boy and the alternate will be a girl? Express your answer as a percent.

Answers

Answer: The probability that he pianist will be a boy and the alternate will be a girl is 30%.

Explanation:

Since we have given that

Number of boys are auditioning to play the piano for a school production = 2

Number of girls are auditioning to play the piano for a school production = 3

Total number of candidates is given by

$2+3=5$

Now,

Let Event A denotes pianist will be a boy.

Let Event B denotes alternate will be girl.

Since Event A and B are independent events so,

$P(\text{ A and B})=P(A)* P(B)$

So,

Probability that the pianist will be a boy and the alternate will be a girl is given by

$(2)/(5)* (3)/(4)\n\n=(6)/(20)=(3)/(10)$

Now, we have to change it into percent ,

$(3)/(10)* 100=3* 10=30\%$

Hence ,the probability that he pianist will be a boy and the alternate will be a girl is 30%.

The probability helps us to know the chances of an event occurring. The probability that the pianist will be a boy and the alternate will be a girl is 0.3.

What is Probability?

The probability helps us to know the chances of an event occurring.

$\rm Probability=(Desired\ Outcomes)/(Total\ Number\ of\ outcomes\ possible)$

As there are 2 boys and 3 girls. And out of this total of 5 people, we need to know the probability of a boy being selected first. Therefore, the probability can be written as,

$\rm Probability=(Desired\ Outcomes)/(Total\ Number\ of\ outcomes\ possible)$

$\rm Probability=\frac{\text{Number of boys}}{\text{Number of people}} = (2)/(5)$

Now since one boy is already selected the number of choices will reduce to 4, therefore, the probability of selecting a girl next can be written as,

$\rm Probability=(Desired\ Outcomes)/(Total\ Number\ of\ outcomes\ possible)$

$\rm Probability=\frac{\text{Number of girls}}{\text{Number of people}} = (3)/(4)$

Thus, the probability that the pianist will be a boy and the alternate will be a girl can be written as,

$\rm Probability=\frac25 * \frac34 = (3)/(10) = 0.3$

Hence, the probability that the pianist will be a boy and the alternate will be a girl is 0.3.

Learn more about Probability:

brainly.com/question/795909

The Surface Area of a car frame is about 200ft squared. What is the Surface Area, to the nearest 10th of a square foot, of a model of a car that is smaller by a Scale Factor of 1/12?

Answers

The answer is 1.39 ft²

This is a proportion:
x : 200 ft² = (1 : 12)²
x : 200 ft² = 1 : 144
x = 200 ft² * 1 : 144
x = 1.39 ft²

Find three consecutive ODD integers such that the sum of 7 times the smallest and twice the largest is -91. Name the smallest integer..

Answers

Answer:

-11, -9, -7

the smallest: 2x+1 = -11

Step-by-step explanation:

{z - some integer}

2z+1 - the smallest number

7(2z+1) - seven times the smallest number

2z+1+2=2z+3 - the middle number

2z+3+2 = 2z+5 - the largest number

2(2z+5) - twice the largest number

7(2z+1) + 2(2z+5) - the sum of 7 times the smallest and twice the largest

7(2z+1) + 2(2z+5) = -91

14z + 7 + 4z + 10 = -91

-17 -17

18z = -108

÷18 ÷18

z = -6

2z+1 = 2(-6)+1 = -12 + 1 = -11

2z+3 = 2(-6)+3 = -12 + 3 = -9

2z+5 = 2(-6)+5 = -12 + 5 = -7

Final answer:

To solve this problem, we denote the smallest odd integer as 'x' and set up the equation 7x + 2(x+4) = -91. By solving this equation, we find that the smallest integer is -15.

Explanation:

To find the three consecutive odd integers, let us denote the smallest odd integer as x; therefore, the next two consecutive odd integers would be x + 2 and x + 4, respectively. The problem states that the sum of seven times the smallest integer and twice the largest integer equals to -91. So, we can translate this into the equation, 7x + 2(x+4) = -91. Solving this gives us x = -15. Hence the smallest integer is -15. The full solution is as follows:

Let the smallest integer be x.
Then the other two consecutive odd numbers are x + 2 and x + 4.
According to the question, 7x + 2(x + 4) = -91.
Solving for x, we get x = -15.
Hence, the smallest odd integer sought is -15.

Learn more about Consecutive Odd Integers here:

brainly.com/question/32448319

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