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Free_Kalibri [48]
3 years ago
12

The sum of three numbers is 124. The third number is 3 times the first. The second number is 9 more than the first. What are the

numbers?​
Mathematics
1 answer:
Leona [35]3 years ago
8 0

Answer:

23, 32, 69

Step-by-step explanation:

3 numbers x, y, z

z = 3x

y = x + 9

x+y+z=124

x + (x + 9) + 3x = 124

5x + 9 = 124

5x = 115

x = 23

y = 32

z = 69

check: 23 + 32 + 69 = 124

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I got 17.72 for this one.
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Which of the following is true of the discriminant for the graph below
aniked [119]

Answer:

Step-by-step explanation:

The discriminant is used to determine the number and nature of the zeros of a quadratic. If the discriminant is positive and a perfect square, there are 2 rational zeros; if the discriminant is positive and not a perfect square, there are 2 rational complex zeros; if the discriminant is 0, there is 1 rational root; if the discriminant is negative, there are no real roots.

The roots/solutions/zeros of a quadratic are where the graph goes through the x axis. Those are the real zeros, even if they don't fall exactly on a number like 1 or 2 or 3; they can fall on 1.32, 4.35, etc. They are still real. If the graph doesn't go through the x-axis at all, the zeros are imaginary because the discriminant was negative and you can't take the square root of a negative number. As you can see on our graph, the parabola never goes through the x-axis. Therefore, the zeros are imaginary because the discriminant was negative. Choice C.  Get familiar with your discriminants and the nature of quadratic solutions. Your life will be much easier!

4 0
3 years ago
Noya needs to determine the number of books that will fit into a box. If the box has a length of 18 inches and each book is Star
natima [27]

Answer:

A. 18÷2/9

Step-by-step explanation:

A. 18÷2/9

B. 18×2/9

C. 2/9÷18

D. 9/2÷18

Let

Total length of box = 18 inches

Thickness of each book = 2/9 inches

Number of books that will fit into the box = x

Number of books that will fit into the box = Total length of box ÷ Thickness of each book

x = 18 ÷ 2/9

= 18 × 9/2

= 162/2

= 81 books

The correct answer is A. 18÷2/9

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Step-by-step explanation:

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8 0
2 years ago
Read 2 more answers
The price of a television was reduced from 250 to 200. by what percentage was the price of the television reduced
Murljashka [212]

Answer:

20%

Step-by-step explanation:

We can start by finding out how much the price of the television was reduced by.

250 - 200 = 50

Now, we need to know what percent of 250 is 50? Let x represent the percent of 250 that is 50. Using this, we can set up an equation:

<u />x\%\times 250=50

Notice that a percentage can also be written as that number over 100.

\frac{x}{100}\times250=50

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Reduce the fraction (250 and 100 have a common factor of 10)

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Multiply both sides by two

5x=100

Divide both sides by 5

x=20

Therefore the price of the television was reduced by 20%.

4 0
2 years ago
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