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icang [17]
3 years ago
15

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

Mathematics
1 answer:
boyakko [2]3 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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The three inside angles (a,b and c) of a right-angled triangle are in the ratio 7:18:11
svet-max [94.6K]

Answer:

The three angles of the right-angled triangle are

a = 35°

b = 90°

c = 55°

Step-by-step explanation:

We are given the ratio of angles of a right-angled triangle

a:b:c = 7:18:11

Recall that the sum of interior angles in a right-angled triangle is always 180°

7x + 18x + 11x = 180

36x = 180

x = 180/36

x = 5

a:b:c = 7x:18x:11x

a:b:c = 7(5):18(5):11(5)

a:b:c = 35:90:55

a = 35°

b = 90°

c = 55°

Alternatively:

We are given that the smallest angle is 35°

a = 7x = 35

x = 35/7

x = 5

b = 18x

b = 18(5)

b = 90°

c = 11x

c = 11(5)

c = 55°

4 0
4 years ago
Read 2 more answers
Answers<br> A. 5<br> B. 9<br> C. 11<br> D. 13
MA_775_DIABLO [31]
4k-7=2k+3
-2k. -2k

2k-7=3
+7. +7
2k=10
2÷2 2÷10
k=5

4(5)-7=13

Answer D
5 0
4 years ago
Write an integer addition
Mrac [35]

Answer:

a

Step-by-step explanation:

5 0
3 years ago
Solve for x : 5x-2(x+1) =10
Oduvanchick [21]
ANSWER:
x=4

How to get it:
hope this helps!

4 0
3 years ago
Read 2 more answers
A pineapple is 7 times as heavy as an orange. The pineapple also weighs 870 grams more than the orange.
Kazeer [188]
Let's say that the weight of the orange is x and the weight of the pineapple is y.
The weight of the pineapple is 7 times that of the orange, so
y = 7x.
Also, y = x + 870.
Therefore, 7x = x + 870.
If we take away x from both sides, we get 6x = 870
If we divide both sides by 6, we get x = 145.
Therefore, the weight of the orange is 145 g.
Also, 145 + 870 = 1015.
So the weight of the pineapple is 1015 g.

To convert grams into kilograms, they must be divided by 1000.
Therefore, the weight of the orange in kilograms is 145/1000 = 0.145 kg
And the weight of the pineapple is 1015/1000 = 1.015 kg.

Answers:
a. 145g for the orange and 1015g for the pineapple.
b. 0.145kg for the orange and 1.015kg for the pineapple.
8 0
3 years ago
Read 2 more answers
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