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dimulka [17.4K]
3 years ago
8

Show your work W What is the great GCF (Greatest Common Factor)? 24x^2 and 20x

Mathematics
1 answer:
romanna [79]3 years ago
5 0

First, determine the greatest common factor between the numbers.

Remember, the greatest common factor is just the largest

factor that divides evenly into the two numbers.

In this case, 4 is the largest number so the GCF of our numbers is 4.

For the variables, however, we use the smallest power.

Since we have an x and an x², we use an x.

So our GCF is 4x.

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Rudik [331]

Answer:

y=12

Step-by-step explanation:

y=2x ,so 2x=8x-x^2

x^2=8x-2x

x^2=6x

x^2/x=6x/x

x=6

y=2x ,2(6)

y=12

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2 years ago
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What number has the square root that lies between 8 and 9?
devlian [24]

Step-by-step explanation:

So, √69 is between 8 and 9 . Since 69 is much closer to 64 than to 81 , the best whole number estimate is 8

8 0
3 years ago
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A probability model includes P(red) = 27 2 7 and P(blue) = 314 3 14 . Which of the following probabilities could complete the mo
Ivahew [28]

Answer:

(b)\ P(Green) = \frac{3}{8} ; P(Yellow) = \frac{1}{8}

(c)\ P(Green) = \frac{1}{4} ; P(Yellow) = \frac{1}{4}

Step-by-step explanation:

Given

P(Red) = \frac{2}{7}

P(Blue) = \frac{3}{14}

Required

Which completes the model

Let the remaining probability be x.

Such that:

P(Red) +  P(Blue) + x = 1

Make x the subject

x = 1 - P(Red) - P(Blue)

So, we have:

x = 1 - \frac{2}{7} - \frac{3}{14}

Solve

x = \frac{14 - 4 - 3}{14}

x = \frac{7}{14}

x = \frac{1}{2}

This mean that the remaining model must add up to 1/2

(a)\ P(Green) = \frac{2}{7} ; P(Yellow) = \frac{2}{7}

P(Green) + P(Yellow)= \frac{2}{7} + \frac{2}{7}

Take LCM

P(Green) + P(Yellow)= \frac{2+2}{7}

P(Green) + P(Yellow)= \frac{4}{7}

This is false because: \frac{4}{7} \ne \frac{1}{2}

(b)\ P(Green) = \frac{3}{8} ; P(Yellow) = \frac{1}{8}

P(Green) + P(Yellow)= \frac{3}{8} + \frac{1}{8}

Take LCM

P(Green) + P(Yellow)= \frac{3+1}{8}

P(Green) + P(Yellow)= \frac{4}{8}

P(Green) + P(Yellow)= \frac{1}{2}

This is true

(c)\ P(Green) = \frac{1}{4} ; P(Yellow) = \frac{1}{4}

P(Green) + P(Yellow)= \frac{1}{4} + \frac{1}{4}

Take LCM

P(Green) + P(Yellow)= \frac{1+1}{4}

P(Green) + P(Yellow)= \frac{2}{4}

P(Green) + P(Yellow)= \frac{1}{2}

This is true

Other options are also false

6 0
3 years ago
Read 2 more answers
Juli use 12 ounces of cheese in her potato soup recipe her recipe yield 8 in Juli needs enough for 20 servings how many pounds o
vlabodo [156]
Juli will need 1.875 pounds of cheese. 1.9 if rounding up. 
There are 16 ounces in a pound.
20/8=2.5
2.5*12=30
30/16=1.875

Hope this helps. 
8 0
3 years ago
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