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natima [27]
3 years ago
5

Which number can replace the variable to make these fractions equivalent?blank/7, 54/42

Mathematics
1 answer:
taurus [48]3 years ago
4 0
Equivalent fractions can be found by multiplying numerator and denominator by the same number.

for example : 2/5 * 3/3 = 6/15......2/5 and 6/15 are equivalent. Just like 2/5 * 4/4 = 8/20......2/5 and 8/20 are equivalent...so basically, if u multiply the numerator by a certain number, and the denominator by that same number, u will get an equivalent fraction.

Now to ur problem...
   x             54
------    =   -----
   7             42

now look at ur denominators....7 x what = 42 ? 7 x 6 = 42...so u have multiplied the denominator by 6....so u would have to multiply the numerator by 6.....or divide by 6....54/6 = 9.....or 9 x 6 = 54. So that missing value is 9.

9/7 = 54/42

check..
9/7 * 6/6 = 54/42 (equivalent)

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1.32:3 1/7 =(1.4y): 5/6
alina1380 [7]

After solving 1.32:3 \frac{1}{7}=(1.4y):\frac{5}{6}  we get y=0.24

Step-by-step explanation:

We need to solve the ratio: 1.32:3 \frac{1}{7}=(1.4y):\frac{5}{6} and find value of y

Solving:

1.32:3 \frac{1}{7}=(1.4y):\frac{5}{6}

Converting fractions into decimals

1.32:3.14=(1.4y):0.83

Ratio can be written as:

\frac{1.32}{3.14}=\frac{1.4y}{0.83}

Now cross multiply

1.32*0.83=1.4y*3.14

1.09=4.39y

y=\frac{1.09}{4.39}

y=0.24

So, after solving 1.32:3 \frac{1}{7}=(1.4y):\frac{5}{6}  we get y=0.24

Keywords: Ratio

Learn more about Ratios at:

  • brainly.com/question/11280112
  • brainly.com/question/11286417
  • brainly.com/question/4847829

#learnwithBrainly

6 0
3 years ago
What is the GFC 3x^2-9x-120
lara31 [8.8K]

Answer: 3

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x

−

8

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(

x

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5

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Step-by-step explanation:

6 0
3 years ago
42 is 21% of what number?
Margarita [4]
42 is 21% of 200. This is because 200*0.21 = 42.
8 0
3 years ago
Read 2 more answers
Find the solutions to the system of equations. Select all that apply. Y=x^2-1 y=2x-2
Sliva [168]

Answer:

Option C (1, 0)

Step-by-step explanation:

We have a system with the following equations:

y = x ^ 2-1\\\\y = 2x-2

The first equation is a parabola.

The second equation is a straight line

To solve the system, substitute the second equation in the first and solve for x.

2x-2 = x ^ 2 -1

Simplify

x ^ 2-2x + 1 = 0

You must search for two numbers that when you add them, obtain as a result -2 and multiplying both results in 1.

These numbers are -1 and -1

Therefore

x ^ 2-2x + 1= (x-1)(x-1)\\\\x ^ 2-2x + 1= (x-1)^2=0

Finally the solutions are

x = 1\\y =0

8 0
3 years ago
Read 2 more answers
a cylindrical water tank has a radius of 14.5 feet and the is filled with approximately 4950 cubic feet of water which of the fo
d1i1m1o1n [39]
Volume of Cylinder = πr²h
Radius r = 14.5 feet
Volume, V =  4950 cubic feet

4950 =  π*14.5²*h

π*14.5²*h = 4950

h =   4950 / (π*14.5²)    Use your calculator with π function

h = 7.494

Therefore height ≈ 7.50 feet to the nearest tenth of a foot. 
7 0
3 years ago
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