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Katyanochek1 [597]
4 years ago
8

Simplify the following 7 times the square root of 54 - 2 times the square root of 24

Mathematics
1 answer:
EleoNora [17]4 years ago
4 0
The first step for solving this problem is to simplify the radical
7\sqrt{54 - 2} x 2√6
Calculate the product
14\sqrt{(54 - 2) X 6}
Subtract the numbers
14\sqrt{56 x 6}
Simplify the radical
14 x 2\sqrt{13 x 6}
Multiply the numbers
14 x 2√78
Finally,, calculate the product for your final answer
28√78
Let me know if you have any further questions
:)
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some friends went to a local movie theater and bought four large buckets of popcorn and six boxes of candy.The total for the sna
WARRIOR [948]

The total of 2 buckets of popcorn and 3 boxes of candy would be $23.25

To answer this question you need to form a set of simultaneous equations and solve them. We can do this by saying that a bucket of popcorn = P, and a box of candy = C. Then we can say:

4P + 6C = 46.50

P + C = 9.75

There are then two possible ways to solve; you can either say that C = 9.75 - P using the second equation and then substitute it into the first, or you can multiply the second equation by either 4 or 6 to cancel out P or C.

I’m going to multiply the second equation by 4:

4P + 4C = 39

Now we can subtract this for, the first equation:

4P + 6C = 46.50

4P + 4C = 39

2C = 7.50

C = 3.75

Now we can substitute this value of C into one of the equations to find P:

P + C = 9.75

P + 3.75 = 9.75

P = 6

And now to answer the question, you just multiply P by 2 and C by 3 and add them together, which gives you $23.25

I hope this helps! Let me know if you have any questions :)

6 0
3 years ago
What is 352+525261 :D
sergey [27]
The correct answer is "525613"
6 0
3 years ago
Floats in a parade travel down the 5.5 mile long street at a rate of 2.5 miles per hour. How long will it take the floats to com
Rina8888 [55]
It should take 2.2 hours, since 5.5 / 2.5 = 2.2.
6 0
3 years ago
Write -4x^2-16x-14 in vertex form.
frutty [35]

Answer:

(-2,2)

Step-by-step explanation:

hope this helps :)

5 0
3 years ago
Consider the line y=8x - 4.
Kamila [148]

Answer:

Parallel - 8

Perpendicular - -1/8

Step-by-step explanation:

If a line is parallel to another then they have the same slope

If a line is perpendicular to another line then the slope is just flipped and so is the sign

8 0
3 years ago
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