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spin [16.1K]
4 years ago
12

5) Write the expression as a product of two factors.

Mathematics
1 answer:
rosijanka [135]4 years ago
4 0

Answer:

c) is the right answer.

Step-by-step explanation:

<u>The Skills needed are: GCF, Division, and Factoring</u>

If you want a product of 2 factors, and you have 2 variables, one of the factors will be a number.

Here we have:

12x + 18y-60

1) We need to find the GCF (Greatest Common Factor) of all coefficients (12,18, and 60)

    -12's factors are: 1,2,3,4,6,12

    -18's factors are: 1,2,3,6,9,18

    -60's factors are: 1,2,3,4,5,6,10,12,15,20,30,60

The GCF, or the biggest factor all these numbers share is: 6

2) So we can take out the 6 from all of these.

       -12x/6=2x

       -18y/6=3y

       -60/6=10

Our new expression with the 6 taken out would be: 6(2x + 3y - 10)

The only answer that has this is c)

Hope you understood and have a nice day!!

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Find the solution of x and y
Hunter-Best [27]

Answer:

x = 1.25, y = 1.75

Step-by-step explanation:

The smaller and larger triangles are similar triangles. (the 2 triangles have the same angles).

We know that the smaller triangle has length 8 for it's bottom side when the larger triangle has length 10. This means the scale factor between the 2 is 10 / 8 which is 1.25. Therefore by multiplying the side lengths of the smaller triangle by 1.25 we get the side lengths of the larger triangle.

5 * 1.25 = 6.25

7 * 1.25 = 8.75

However we don't want the whole side lengths we want x and y, We need to subtract 5 and 7 respectively from the lengths of the larger triangles.

Therefore the lengths must be: 6.25 - 5 = 1.25

and 8.75 - 7 = 1.75

Therefore x and y equal 1.25 and 1.75

5 0
3 years ago
I need help with number 4 I'm not sure if this is right please help
sertanlavr [38]
Yes I think B is the correct answer
8 0
3 years ago
jacob poured 5/6 cup of orange juice and a cup 5/8 of cranberry juice into a pitcher . He drank 1/2 cup of the juice in the pitc
schepotkina [342]
We set up the problem first.

5/6 + 5/8 - 1/2.

We would first find a common denominator. It is 24.

Then we see how many times can 24 go into 6, 8, and 2.

We make them into improper or regular fractions, and we subtract regularly.

20/24 + 15/24 - 12/24 = 23/24.

So your answer would be 23/24.

Hope this helps☻
7 0
3 years ago
How do I write the exponent expression below in numbers
Irina-Kira [14]

Answer:

(3^6)/2

Step-by-step explanation:

make sure everything as the numerator is in parenthesis

4 0
3 years ago
A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the orange.
likoan [24]
Weight of an grapefruit=weight of an orange+8% weight of an orange
weight of an apple=weight of an orange -10% weight of an orange

a.<span>By what percentage is the grapefruit heavier than the apple?
We should find the connection between grapefruit and an apple. We know the connection between the weight of a grapefruit and an orange, we know the connection between an orange and an apple, so this means we know the connection between a grapefruit and an apple.
</span>
weight of an grapefruit=weight of an <span>orange+8% weight of an orange
</span>weight of an orange=weight of an apple<span> +10% weight of an apple
</span>
-> weight of an grapefruit=weight of an apple+10% weight of an apple + 8%(weight of an apple+10% weight of an apple)= weight of an apple + 18% weight of an apple + 2% weight of an apple= <span>weight of an apple + 20% weight of an apple 

</span><span>b.By what percentage is the apple lighter than the grapefruit?
</span>weight of an grapefruit=weight of an apple + 20% weight of an apple<span> 
</span>
-> The apple ts 20% lighter than the grapefruit.
8 0
3 years ago
Read 2 more answers
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