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koban [17]
3 years ago
6

How are gcf and ratios alike​

Mathematics
1 answer:
Vinil7 [7]3 years ago
8 0

Let's say you had the ratio 14:21

The GCF of the two values (14 and 21) is 7

14 = 7*2

21 = 7*3

We can divide both parts of the ratio by the GCF 7 to get

14/7 = 2

21/7 = 3

Meaning the original ratio 14:21 fully reduces to 2:3

So in short, we use the GCF to help fully reduce any ratio.

This also applies to fractions as well. We could have something like 9/33 fully reduce to 3/11 after dividing both parts (9 and 33) by the GCF 3.

You might be interested in
What is the original price when the percent is 64% and the sales price is 72
8_murik_8 [283]

Answer:

$46.08

Step-by-step explanation:

64/100 *72/1 = 46.08

5 0
3 years ago
At a height of about 212 meters, One Shell Square is the tallest building in New Orleans. Marlie is creating a scale model of th
alex41 [277]

Answer:

0.8\ m

Step-by-step explanation:

In this problem we know that

The scale is equal to

\frac{1}{250}\frac{m}{m}

so

by proportion

Find what will be the height of the scale model

\frac{1}{250}\frac{m}{m}=\frac{x}{212}\frac{m}{m}\\ \\x=212/250\\ \\x= 0.848\ m

Round to the nearest tenth of a meter

0.848\ m=0.8\ m

3 0
4 years ago
Read 2 more answers
I
atroni [7]

Answer: 16⅔ yds by 25 yds

Step-by-step explanation:

Let x be the length of 3 fence sections

Let y be the length of 2 fence sections

A = xy

3x + 2y = 100

y = 50 - 1.5x

A = x(50 - 1.5x) = 50x - 1.5x²

dA/dx = 50 - 3x

       0 = 50 - 3x

      3x = 50

        x = 50/3 = 16⅔ yds

        y = 50 - 1.5(16⅔) = 25 yds

5 0
3 years ago
If ∠MOK and ∠JOM are supplementary angles, then what is the value of x and m∠LOK?
inysia [295]

Answer:

B

Step-by-step explanation:

Note that angle JOM and angle LOK are vertical angles meaning that they are congruent ( equal to each other )

We are given that angle MOK and angle JOM are supplementary

Supplementary angles add up to 180

This means that:

angle MOK + angle JOM = 180

If angle JOM = angle LOK

Then angle MOK + angle LOK also = 180

If angle MOK = 66 and angle LOK = x + 64

Then 66 + x + 64 = 180

Note that we've just created an equation that we can use to solve for x

We now solve for x

66 + x + 64 = 180

Combine like terms

66 + 64 = 130

130 + x = 180

Subtract 130 from both sides

x = 50

We also want to find the measure of angle LOK.

To do so we simply plug in the value of x into x + 64

angle LOK = x + 64

x = 50

angle LOK = 50 + 64 = 114

So x = 50 and angle LOK = 114

Hence the answer is B

8 0
3 years ago
Tina makes 480 sandwiches 3/8 of the sandwiches are tuna and 35% of the sandwiches are beef. The ratio of the number of ham sand
GalinKa [24]
Total no. of sandwiches = 480
No. of tuna sandwiches = 3/8*480 = 180 sandwiches
No. of beef sandwiches= 35% of 480
                                     = 35/100*480  = 168 sandwiches
Remaining no. of sandwiches = 480-(168+180) = 132 sandwiches
Let no. of ham sandwiches be 5x
Let no. of cheese sandwiches be 6x
5x + 6x = 132
11x = 132
x = 132/11 = 12

No. of cheese sandwiches = 6x = 12*6 = 72 sandwiches
No. of ham sandwiches = 5x = 5*12 = 60 sandwiches
7 0
3 years ago
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