Peter wants to buy a coat that costs $87 at full price.The coat is now on sale for 40% offPart A: Explain how Peter can use the fact that 10% of $87 is $8.70 to find the amount he will save on the coat

Part B: Use the same method to find the amount Peter would save on a $64 coat that is on sale for 40% off

Answers

Answer 1

Answer:

Step-by-step explanation:

Hello!

Part A

Peter can use the fact that 10% of 87 is 8.70 to find the amount he would save because 40% is just 4 times bigger than 10% so he can take 8.70 from to total of the coat 4 times to find out how much it cost.

Part B

Using the same method we know that 10% of 64 is 6.40 so we subtract that from the price of the coat 4 times to find out how much it cost

64 - 6.40 = 57.6

57.6 - 6.40 = 51.2

51.2 - 6.40 = 44.8

44.8 - 6.40 - 38.4

The price of the coat is $38.4

Hope this helps!

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Factor x2 - 8x + 9Answer

(x + 9)(x - 1)

(x + 9)(x + 1)

(x - 9)(x - 1)

Prime

Answers

The factors of the expression are (x - 9) (x + 1).

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the liketerms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

x² - 8x + 9

Determinantformula.

a = 1, b = -8, c = 9

So,

x = -b ± √(b² - 4ac) / 2a

x = 8 ± √(64 - 36) / 2

x = 8 ± √100 / 2

x = 8 ± 10 / 2

x = 4 ± 5

x = 4 + 5 and x = 4 - 5

x = 9 and x = -1

x - 9 = 0 and x + 1 = 0

Now,

The tworoots are (x - 9) and (x + 1).

Thus,

The factors of the expression are (x - 9) (x + 1).

Learn more about expressions here:

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It is prime because there aren't any numbers that multiply to 9 and add to -8

The sum of 3 consecutive odd integers is 87.Find the equation used to solve this problem and the three integers.

Answers

the first odd integer is x. The next odd integer will be x+2. and the next is x+4. Then we can say that (x)+(x+2)+(x+4)=87
working that out yields 3x+6=87
and thus 3x=81
and by consequence x=27

and thus our 3 odd integers are 27,29 and 31

Let be y - 2, y and y + 2 the 3 consecutives odd integers;
There sum is 3y, and, in the same time is 87 => y = 87/3 => y = 29 =>
y - 2 = 27; y + 2 = 31;
The 3 integers are : 27, 29, 31.

Tickets to a concert cost $2 for children and $5 for adults. If 630 people attended the concert and the ticket sales totaled $2,910, how many children attended the concert?

Answers

5x630=3150. 3150-2910=240. 240/3=80. There were 80 kids.

According to David Taylor of the Bank Administration Institute, about _____ percent of households with annual incomes over $50,000 have PCs equipped with modems.

Answers

According to David Taylor of the Bank Administration Institute, about 40 percent of households with annual incomes over $50,000 have PCs equipped withmodems.

Answer:

Step-by-step explanation:

What is a line graph

Answers

A graph in which points representing values of a variable for suitable values of an independent variable are connected by a broken line.

Example attached!

A line chart or line graph is a type of chart which displays information as a series of data points called 'markers' connected by straight line segments.

Annual Return...Probability15% ...0.2
20%...0.4
30% ...0.3
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The table gives the probability distribution of the annual rate of return on the stock of MNP Company, Inc.

The expected value of the rate of return is ______%.