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DIA [1.3K]
2 years ago
13

Jay has an album that holds 700 compact discs. Each page of the album holds 7 compact discs. If

Mathematics
1 answer:
igomit [66]2 years ago
7 0

Answer:

44 pages

Step-by-step explanation:

If it can hold 700 disks, with each page holding 7 disks, that means there are 100 pages in the album.

Since 56% of the album is empty, that means 56 pages are empty.

If 56 pages are empty, we can find how many pages are full by subtracting this from 100

100 - 56

= 44

So, 44 pages are full with compact discs

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Answer:

3x = 78+ (x-2)

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles of a triangle.

3x = 78+ (x-2)


4 0
3 years ago
If you could show as much work as possible that would be amazing!!
Nikitich [7]

Answers:

<u>Reduce:</u>

Here we gave to simplify the expressions:

9) x^{2}+7x+\frac{12}{x^{2}}+11x+28

Grouping similar terms:

(x^{2}+\frac{12}{x^{2}})+(18x+28)

Applying common factor x^{2} in the first parenthesis and common factor 2 in the second parenthesis:

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Rearranging the terms:

(y^{3}+2y)+(\frac{27}{y^{2}}-3)

Applying common factor y in the first parenthesis and common factor 3 in the second parenthesis:

y(y^{2}+2)+3(\frac{9}{y^{2}}-1) This is the answer

<u>Multiply:</u>

19) (\frac{12a^{9}u^{7}}{15 c})(\frac{3c^{4}}{21a^{13 u^{8}}})

Multiplying both fractions:

\frac{36 a^{9}u^{7}c^{4}}{315 c a^{13}u^{8}}

Dividing numerator and denominator by 3 and simplifying:

\frac{12 c^{3}}{105 c a^{4}u} This is the answer

21) (x-\frac{3}{x}-7)(x^{2}-9x+\frac{35}{x^{2}}-18)

(\frac{x^{2}-3-7x}{x})(\frac{x^{4}-9x^{3}+35-18x^{2}}{x^{2}})

Operating with cross product:

x^{2} (x^{2}-3-7x) x(x^{4}-9x^{3}+35-18x^{2})

x^{9} -9x^{8} -18x^{7}+35x^{5}-7x^{8}  +63x^{7}+126x^{6}-245x^{4}-3x^{7}+27x^{6}+54x^{5}-105x^{3}

Grouping similar terms and factoring:

x^{9}-2(8x^{8}+21x^{7} )+153x^{6}+89x^{5}-5(49x^{4}+21x^{3}) This is the answer

<u>Divide:</u>

29) \frac{\frac{k^{6}}{x^{2}}}{\frac{2k^{4}}{3x^{6}}}

\frac{3k^{6}x^{6}}{2x^{2}k^{4}}

Simplifying:

\frac{3}{2} k^{2}x^{4} This is the answer

33) \frac{\frac{x+5}{x+1}}{\frac{x^{2}+11x+30}{x^{2}+3x+2}}

\frac{(x+5)(x^{2}+3x+2)}{(x+1)(x^{2}+11x+30)}

Factoring numerator and denominator:

\frac{(x+5)(x+2)(x+1)}{(x+1)(x+6)(x+5)}

Simplifying:

\frac{x+2}{x+6} This is the answer

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\frac{x^{3}+15x^{2}+21x-10x^{2}-150x-210}{(x+13)(x^{4}-1000x+13x^{3}-13000)}

Grouping similar terms and factoring by common factor:

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Dividing by 5 in numerator and denominator and simplifying:

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3 years ago
Mrs. JOHNSON paid $40.68 for 3kg of shrimp. What’s the cost of 1 kilogram of shrimp?
Goshia [24]

Answer:

It is 13.56

Step-by-step explanation:

You would have to divide 40.68 by 3. 3 goes 1 time into 4 so it is 10.

4 0
3 years ago
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Which quadratic equation is equivalent to (x + 2)^2 + 5(x + 2) - 6 = 0?
Ber [7]

Answer:

x^2 + 9x + 8 = 0

Step-by-step explanation:

First, we have to simplify this quadratic equation:

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x^2 + 4x + 4 + 5x + 10 - 6 = 0

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5 0
1 year ago
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creativ13 [48]

Answer:

S1548.

Step-by-step explanation:

1-7% =- 0.017 and 5.3% - 0.053.

Kevin : After 1 year he has 43,000 * 0.017 = S731.

Greg:  After 1 year he has  43,000 * 0.053 =  S2279

Difference = 2279 - 731 = S1548.

4 0
2 years ago
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