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Mademuasel [1]
3 years ago
8

Dexter read 11 science fiction books and 5 history books. Lena read 9 science fiction books and 4 history books. Compare the stu

dents’ ratios of science fiction books to history books.
1. Determine the ratios’ form:

   science fiction books to history books

2. Write the ratios as fractions:

   Dexter: 11
5
; Lena: 9
4

3. Rewrite with a common denominator.

4. Compare.

5. Answer the question.

Determine which shows the correct comparison of the ratios for this problem.
StartFraction 5 Over 20 EndFraction greater-than StartFraction 4 Over 20 EndFraction
StartFraction 26 Over 20 EndFraction greater-than StartFraction 25 Over 20 EndFraction
StartFraction 11 Over 20 EndFraction greater-than StartFraction 9 Over 20 EndFraction
StartFraction 44 Over 20 EndFraction less-than StartFraction 45 Over 20 EndFraction
Mathematics
1 answer:
arlik [135]3 years ago
3 0

Answer:

the answer is d 44/20 44/20

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Mr. Deveney bought 4 DVDs for $25.20. What was the price per DVD?
ollegr [7]

Answer:

$6.30 per DVD

Step-by-step explanation:

25.20/4= 6.3

7 0
3 years ago
If a=2b^3 and b= -1/2c ^-2,express a in terms of c.
ElenaW [278]

Answer:

Part 1) a=-\frac{1}{4c^6}

Part 2) a=-\frac{1}{4c^{-6}}

Step-by-step explanation:

Part 1) we have

a=2b^{3} ----> equation A

b=-\frac{1}{2}c^{-2} ----> equation B

substitute equation B in equation A

a=2(-\frac{1}{2}c^{-2})^{3}

Applying property of exponents

(x^{m})^{n}=x^{m*n}

x^{-m} =\frac{1}{x^{m}}

a=2(-\frac{1}{2}c^{-2})^{3}=2(-\frac{1}{2})^3(c^{-2})^{3}=2(-\frac{1}{8})(c^{-6})=-\frac{1}{4c^6}

therefore

a=-\frac{1}{4c^6}

Part 2) we have

a=2b^{3} ----> equation A

b=-\frac{1}{2c^{-2}}=-\frac{c^{2}}{2} ----> equation B

substitute equation B in equation A

a=2(-\frac{c^{2}}{2})^{3}

Applying property of exponents

(x^{m})^{n}=x^{m*n}

x^{-m} =\frac{1}{x^{m}}

a=2(-\frac{c^{2}}{2})^{3}=2(-\frac{c^{6}}{8})

simplify

a=-\frac{c^{6}}{4}

therefore

a=-\frac{1}{4c^{-6}}

6 0
3 years ago
483.6 is what percent of 180
liraira [26]

Answer:

We assume, that the number 180 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 180, so we can write it down as 100%=180.

4. We know, that x% equals 483.6 of the output value, so we can write it down as x%=483.6.

5. Now we have two simple equations:

1) 100%=180

2) x%=483.6

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=180/483.6

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 483.6 is what percent of 180

100%/x%=180/483.6

(100/x)*x=(180/483.6)*x       - we multiply both sides of the equation by x

100=0.37220843672457*x       - we divide both sides of the equation by (0.37220843672457) to get x

100/0.37220843672457=x

268.66666666667=x

x=268.66666666667

now we have:

483.6 is 268.66666666667% of 180

4 0
3 years ago
Tri City sells four times as many dishwashers as Solly Company. The difference between their sales is 96 dishwashers. How many d
kondaur [170]
We use a system of equations to solve this. Since tri city sells 4 times it becomes 4x and solly company is x. Then we do 4x-x=96. 3x=96. x=32. We are not finished yet. We still have to multiply x by 4. x=128. Tri City sold 128 dishwashers.
3 0
3 years ago
I need help with this question
s344n2d4d5 [400]
It wouldn't be A or B, but we need to see the other choices

4 0
3 years ago
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