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Dmitry [639]
3 years ago
15

What is the greatest common factor of 5x^7+30x^4+10x^4 ?

Mathematics
1 answer:
yan [13]3 years ago
7 0

Answer:

5x^4

Step-by-step explanation:

When you need to find the GCF where there is multiple terms and variables, start by looking at them one at a time and break the terms apart.

GCF of 5, 30, and 10: 5

Factors of 5: 1*5

Factors of 30: 1*30, 2*15, 3*10, 5*6

Factors of 10: 1*10, 2*5

The greatest factor that those numbers all have in common is 5.

GCF of the variables: x^4

(5)x^7: x*x*x*x*x*x*x

(30)x^4: x*x*x*x

(10)x^4: x*x*x*x

The greatest number of x's that those variables have in common is 4.

Therefore, the answer is 5x^4.

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A sporting good store is offering an additional 30% off all clearance items and she purchases a pair of running shoes on clearan
Talja [164]

Answer:

Total discount = $39.50

                  or 46.47 %

Step-by-step explanation:

First we need to figure out what she will pay for the shoes.  She is getting 30 percent off the 65 dollars.

Discount = price * percent off

                = 65*.3

                = 19.50

The cost of her shoes is the price minus the discount.

Cost = 65- 19.5

        = 45.50


To find the total discount, take the original price and subtract the final cost.

Total discount = 85-45.50

                        = 39.50

To find the total percent discount, we use the formula

      total percent discount = (original - final)/original * 100

                                             = (85- 45.50)/85 * 100

                                             = 39.5/85*100

                                              = 46.47%

4 0
3 years ago
Help AB and CD are straight lines find z​
chubhunter [2.5K]

Answer: z=16

Step-by-step explanation:

Angles on a straight line add up to 180.

As AB is a straight line we can use that to help us find z.

So you would do 68+85+11=164 (I got the 11 from the angle trapped between like C and F as opposite angles are the same).

Then you would do 180-164=16

So z=16

Hope this helps :)

3 0
3 years ago
Find f (8) when f (x)=-26/x+7
otez555 [7]

Answer:

-26/8+7=15/4 or 3 3/4

Step-by-step explanation:

3 0
3 years ago
Two pyramids are similar with a ratio of surface areas of 25:36. Find the volume of the larger pyramid given that the first has
ki77a [65]

Answer:

432m^3

Step-by-step explanation:

The computation of the volume of the larger pyramid is shown below:

Let us assume the volume of the larger pyramid be x

Given that

The ratio of two pyramids is 25:36

We can say that

The Ratio of side = (The ratio of surface area)^\frac{1}{2} = \frac{5}{6}

Now

ratio of volume = (ratio of side)^3 =  \frac{5^{3}}{6^{3}} = 125 : 216

Based on the above information, the calculation is as follows

\frac{125}{216} = \frac{250}{x}

So,

x = \frac{250 \times 216}{125}

= 432m^3

5 0
3 years ago
What is the value of x in the equation? <br> 2/3 (x + 6) = -18
Law Incorporation [45]
The answers to the question is -33
4 0
3 years ago
Read 2 more answers
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