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Arisa [49]
2 years ago
9

Solve for all possible values of x. √60 8x = x - 9

Mathematics
1 answer:
umka2103 [35]2 years ago
4 0

The possible values of x are 3 and 7

<h3>Solving rational expressions</h3>

Given the rational expression below;

√60-8x = x - 9

Square both sides to have:

(60-8x)² = (x-9)²

60-8x = x²-18x+81

Equate to zero to have;

x²-18x+81 - 60 + 8x = 0

x² - 10x + 21 = 0

x² -3x-7x +21 = 0

x(x-3)-7(x-3) = 0

x = 3 and 7

Hence the possible values of x are 3 and 7

Learn more on rational expression here: brainly.com/question/25292194

#SPJ1

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One number is 1/4 of another number. The sum of the two numbers is 5. Find the two numbers. Use a comma to separate your answer
masha68 [24]

Answer: 1, 4

Step-by-step explanation:

  • Number #1 = x
  • Number #2 = \frac{1}{4} x

\frac{1}{4} x+x=5\\\\\frac{1}{4} x+\frac{4}{4} x=5\\\\\frac{5}{4} x=5\\\\5x=4*5\\5x=20\\x=4

  • Number #1 = x = 4
  • Number #2 = \frac{1}{4} x = \frac{1}{4} *4=\frac{4}{4} =1
6 0
3 years ago
Enrique and Yolanda collected 500 pieces of candy on Halloween. They gave half of their candy to charity. Yolanda took 180 piece
777dan777 [17]
The answer would be C. (He counted Yolanda's candy as his own).

This is found by multiplying 500 (starting number of candy) and .64 (percentage divided by a hundred). Thjs would guve you 320, which you would then subtract from the starting number of candy (500) to get 180. 180 is Yolanda's number of candy, which gives you the answer.
4 0
3 years ago
The cost of 4 belts and 5 ties is $247. Each time costs 3 times as much as a belt. What us the total cost of 1 belt and 1 tie
Makovka662 [10]

Answer:

The total cost of 1 belt and 1 tie is $13 and $39 respectively.

Step-by-step explanation:

Given that,

The cost of 4 belts and 5 ties is $247.

Each tie costs 3 times as much as a belt.

Let the cost of a belt is x and that of a tie is y.

ATQ,

4x + 5y = 247 ...(1)

y = 3x ....(2)

Put the value of y from equation (2) in equation (1)

4x + 5(3x) = 247

4x + 15x = 247

19x = 247

x = 13

Put the value in equation (2)

y = 3x

= 3(13)

= 39

So, the total cost of 1 belt and 1 tie is $13 and $39 respectively.

5 0
3 years ago
Kyle swims a 1/2 mile every 1/4 hour. How far will he swim in one hour?
murzikaleks [220]

Answer:

2 miles per hour

Step-by-step explanation:

She miles 1/2 mile every 15 minutes or 1/4 hours so

1/2*4=2 miles per hour

7 0
3 years ago
I need 1 more credit to pass my class!
katrin [286]

Answer:

the answer is 3

Step-by-step explanation:

you piece of garbage im tryna help why u report me

3 0
4 years ago
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