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icang [17]
2 years ago
15

Find the value of 5/32 divided by 25/4. show your reasoning

Mathematics
1 answer:
boyakko [2]2 years ago
7 0

Answer:

Step-by-step explanation:

we can use reciprocals to solve this

(5/32)/(25/4) = (5/32)*(4/25) = 20/(32*25) = 20/800 = 2/80 = 1/40 = .025

rewrite

so reciprocals is a method in which division can be turned into fractions which can be turned into multiplication

heres an example

x/2=0.5x

y/4=0.25y

so 0.5x/0.25y would be the same as (x/2)/(y/4) which can be converted to a reciprocal where it would look like (x/2)*(4/y) which makes our answer 4x/2y which we can simplify to 2x/y

same concept for (5/32)/(25/4), first we can make it into a reciprocal (note, reciprocal means just flipping one of the fractions and replacing the division sign as multiplication) by writing (5/32)*(4/25)  

now we multiply numerator by numerator to get 20

and we multiply denominator by denominator to get 800

20/800 = 2/80 = 1/40

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2 years ago
Write g(x) = 4x2 + 88x in vertex form. The function written in vertex form is g(x) = (x +11)2 + .
romanna [79]

Answer:

y = 4(x + 11)² - 484

Step-by-step explanation:

y = 4x² + 88x

factor the expression

y = 4(x² + 22x)

complete the square

y + ? = 4(x² + 22x + ?)

y + ? = 4(x² + 22x + 121)

add 4 • 121 to the left side

y + 4 • 121 = 4(x² + 22x + 121)

multiply

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subtract both sides by 484

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6 0
3 years ago
Read 2 more answers
3x-32=-7×+28. what does x =​
Vitek1552 [10]

Hello!

3x - 32 = -7x + 28

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-60 = -10x

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6 = x

x = 6

I hope this helps you! Have a lovely day!

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3 0
2 years ago
Read 2 more answers
Jerry indicated that after tossing a penny 30 times, the relative frequency of heads was 0.47 (to the nearest hundredth). He ind
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Answer:

Incorrect.

Step-by-step explanation:

1 toss could not change the frequency by such a large margin 0.47 ---> 0.55.

The number of heads obtained in 30 tosses = 30 * 0.47 =  14.

So if the next toss came up heads the relative frequency of heads would be

15/31 = 0.48.

4 0
3 years ago
What is the lcm of 81 and 17?​
algol [13]

Answer:

1377

Step-by-step explanation:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

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