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2 years ago

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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Kisachek [45]

Answer:

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Step-by-step explanation:

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3 0

3 years ago

Solve. Chanasia has 6.25 gallons of paint. She wants to use 2/5 of the paint to paint her living room. How many gallons of paint

deff fn [24]

Answer: 2.5 gallons

Step-by-step explanation:

Given that:

Gallons of paint had = 6.25 gallons

Amount needed to paint room = 2/5 of the paint

Gallons of paint needed :

2/5 of 6.25

(2 * 6.25) / 5 gallons

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3 0

3 years ago

If 2k, 5k-1 and 6k+2 are the first 3 terms of an arithmetic sequence, find k and the 8th term

Klio2033 [76]

Answer:

see explanation

Step-by-step explanation:

The common difference d of an arithmetic sequence is

d = $a_{2}$ - $a_{1}$ = $a_{3}$ - $a_{2}$

Substitute in values and solve for k, that is

5k - 1 - 2k = 6k + 2 - (5k - 1)

3k - 1 = 6k + 2 - 5k + 1

3k - 1 = k + 3 ( subtract k from both sides )

2k - 1 = 3 ( add 1 to both sides )

2k = 4 ⇒ k = 2

--------------------------------------------------------

The n th term of an arithmetic sequence is

$a_{n}$ = $a_{1}$ + (n - 1)d

$a_{1}$ = 2k = 2 × 2 = 4 and

d = 5k - 1 - 2k = 3k - 1 = (3 × 2) - 1 = 5

Hence

$a_{8}$ = 4 + (7 × 5) = 4 + 35 = 39

4 0

3 years ago

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kompoz [17]

Since FA || BE, then angle 1 must equal angle 2 since they are corresponding angles along parallel lines where the transverse line cuts.
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4 0

3 years ago

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valkas [14]

Answer:

3x+8=68 degrees

6x-8= 112 degrees

Step-by-step explanation:

3x+8+6x-8=180

9x=180

x=20

3*20+8=68

6*20-8=112

8 0

2 years ago