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3 years ago

Alyssa had 59 dollars to spend on 6 books. After buying them she had 11 dollars. How much did each book cost

1 answer:

5 0

Answer: $20
Sandy had 138 dollars to spend on 6 books. After buying them she had 18 dollars. How much did each book cost? 20 dollars.

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Please help me with these questions , thank you

Angelina_Jolie [31]

Answer:

1. 4 $x^{3}$ + 26x² + 4x - 48

2. 2 $x^{3}$ - 23x² + 60x - 32

3. $x^{5}$ + 7 $x^{3}$ - 4x + 2 $x^{4}$ + 14x² - 8

4. 2 $x^{7}$ + $x^{6}$ - 28 $x^{5}$ + 3x + 12

Step-by-step explanation:

To multiply polynomials, simply distribute whatever's outside the largest set of parenthesis, then combine like terms.

1) Distribute the parenthesis (x + 6):

x(4x² + 2x - 8) + 6(4x² + 2x - 8)

4 $x^{3}$ + 2x² -8x + 6(4x² + 2x -8)

4 $x^{3}$ + 2x² -8x + 24x² + 12x - 48

Combine like terms:

4 $x^{3}$ + 26x² + 4x - 48

2) Distribute the parenthesis (x - 8):

x(2x² - 7x + 4) + (-8)(2x² - 7x + 4)

2 $x^{3}$ - 7x² + 4x + (-8)(2x² - 7x + 4)

2 $x^{3}$ - 7x² + 4x + -16x² + 56x - 32

Combine like terms:

2 $x^{3}$ - 23x² + 60x - 32

3) Distribute the parenthesis (x + 2):

x( $x^{4}$ + 7x² - 4) + 2( $x^{4}$ + 7x² - 4)

$x^{5}$ + 7 $x^{3}$ - 4x + 2( $x^{4}$ + 7x² - 4)

$x^{5}$ + 7 $x^{3}$ - 4x + 2 $x^{4}$ + 14x² - 8

No like terms to combine, so:

$x^{5}$ + 7 $x^{3}$ - 4x + 2 $x^{4}$ + 14x² - 8

4) Distribute the parenthesis (x + 4):

x(2 $x^{6}$ - 7 $x^{5}$ + 3) + 4(2 $x^{6}$ - 7 $x^{5}$ + 3)

2 $x^{7}$ - 7 $x^{6}$ + 3x + 4(2 $x^{6}$ - 7 $x^{5}$ + 3)

2 $x^{7}$ - 7 $x^{6}$ + 3x + 8 $x^{6}$ - 28 $x^{5}$ + 12

Combine like terms:

2 $x^{7}$ + $x^{6}$ - 28 $x^{5}$ + 3x + 12

hope this helps!

8 0

2 years ago

If you borrow $894 for four years at an interest rate of 3%, how much interest will you pay?

Studentka2010 [4]

Answer:

$1006.20

Step-by-step explanation:

This is an example of compound interest.

To work this out you would first have to convert the percentage into a decimal, you can do this by dividing 3 by 100, which gives you 0.03. You are dividing by 100 as percentages are out of 100. Then you would add 1 to 0.03, which gives you 1.03. This is because you are finding percentage increases. Then you would multiply 894 by 1.03 to the power of 4, which gives you 1006.20. This is because you are finding 3 percent and adding it on and then finding 3 percent of that, this is why we put it to the power of how much time.

1) Divide 3 by 100.

$3/100=0.03$

2) Add 1 to 0.03.

$0.03+1=1.03$

3) Multiply 894 by 1.03 to the power of 4.

$894*1.03^{4}=1006.20$

3 0

3 years ago

Write the set of real numbers from - 10 through 10 in interval notation.

Klio2033 [76]

Answer:

1) $(-10,10)$ - Greater than -10 and less than 10.

2) $[-10, 10]$ - Greater than or equal to -10 and less than or equal to 10.

3) $[-10, 10)$ - Greater than or equal to -10 and less than 10.

4) $(-10, 10]$ Greater than -10 and less than or equal to 10.

Step-by-step explanation:

There are four form of describing that set in interval notation, which presented below:

1) $(-10,10)$ - Greater than -10 and less than 10.

2) $[-10, 10]$ - Greater than or equal to -10 and less than or equal to 10.

3) $[-10, 10)$ - Greater than or equal to -10 and less than 10.

4) $(-10, 10]$ Greater than -10 and less than or equal to 10.

8 0

3 years ago

there are 2.54 centimeters in 1 inch. there are 100 centimeters in 1 meter.questionto the nearest meter, how many meters are in

Gre4nikov [31]

There are 7 meters in 279 inches.

There are 2.54 centimeters in 1 inch.
There are 100 centimeters in 1 meter.
The number of inches is given to be 279.
Unit conversion is a multi-step procedure that includes multiplying or dividing by a numerical factor, determining the appropriate number of significant digits, and rounding.
First of all, we need to convert inches to centimeters.
1 inch equals 2.54 centimeters.
279 inches equals 2.54*279 centimeters.
279 inches equals 708.66 centimeters.
Now, we need to convert these centimeters into meters.
Meters in 100 centimeters = 1
Meters in 1 centimeters = 1/100
Meters in 708.66 centimeters = (1/100)*708.66
Meters in 708.66 centimeters = 7.0866
Thus, there are approximately 7 meters in 279 inches.

To learn more about unit conversion, visit :

brainly.com/question/11543684

#SPJ4

8 0

1 year ago

7/8 subtract 1/2 equals. and explain how you got your answer

puteri [66]

3/8 because you find the common denominator
8: 8,16,24,32
2: 2,4,6,8
1/2=4/8
7/8-4/8
So the answer is 3/8
You can try to find the denominator and then change the denominator+numerator.

6 0

3 years ago