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solniwko [45]
3 years ago
12

the sum of two numbers is 24. the sum of the squares of the two numbers is 306. what is the product of the two numbers?

Mathematics
2 answers:
OverLord2011 [107]3 years ago
8 0
The Answers Are 15 & 9
Natalija [7]3 years ago
3 0
The answer would be 12.75 and 11.25
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Danielle and David each have a job. Danielle earns $15 an hour. She also receives a $50 weekly bonus. Danielle wrote an equation
S_A_V [24]
For starters, create an equation to show David's earnings. We can do this using Danielle's as a basis, which is set up as y=(# of hours)x+(bonus). This gives us y=12x+80. Now, as we need both their ys to be equal, we just set both equations equal to each other, making 15x+50=12x+80. Now, we solve for x, starting with 15x+50=12x+80, subtracting 12x from both sides to get 3x+50=80, subtracting 50 from both sides to get 3x=30, and dividing three from both sides to get x=10. To check, we just plug in our answer to both equations and see if the ys match up. With Danielle's equation, we get y=15(10)+50=150+50=200 and with David's equation, we get y=12(10)+80=120+80=200, proving that our answer is correct.
5 0
3 years ago
Read 2 more answers
Which of the following comparisons is correct?<br>-2 2<br>4&lt;−4<br>−6&lt; −5
zlopas [31]
<h3>Answer: Choice D)   -6 < -5</h3>

================================================

Explanation:

Let's go through the answer choices

  • A) This is false because -2 is actually larger than -5. Make a number line and you'll see that -2 is to the right of -5. Numbers on the right are larger than numbers on the left.
  • B) This is also false. The value 0 is smaller than 2. A number line might help show this.
  • C) Also false. It should be 4 > -4. Any positive number is always larger than any negative number.
  • D) This is true. On a number line, -6 is to the left of -5, so -6 is smaller than -5. This makes -6 < -5 a true statement.

4 0
3 years ago
What is the product of the 6th square number and the 5th square number?
lukranit [14]

Answer:

900.

Step-by-step explanation:

The first 6 square numbers are 1, 4, 9, 16, 25, 36,

The required product is 25 * 36

= 900.

8 0
3 years ago
HELP!!!! IVE BEEN STUCK ON THIS ALL DAY PLEASE HELP
siniylev [52]
X is a unknown
Number you need to find what the total of all the angles will be and the solve for x
7 0
3 years ago
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A manufacturing company plans to progressively increase its production capacity over the next few quarters. (A quarter is a peri
mihalych1998 [28]

Answer:

  5 months

Step-by-step explanation:

We assume that y represents production capacity, rather than <em>increase</em> in production capacity. Then we want to solve the 6th-degree equation ...

  x^6 -25x^4 +199x^2 -4975 = 0

This can be factored in groups as ...

  x^4(x^2 -25) + 199(x^2 -25) = 0

  (x^4 +199)(x^2 -25) = 0

This has 4 complex solutions and 2 real solutions.

  x^2 = 25

  x = ±5

The duration required for capacity to reach 4975 units is 5 months.

7 0
3 years ago
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