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Kay [80]
3 years ago
5

One number added to three times another number is 24. Five times the first number added to three times to other number is 36. Fi

nd the numbers
Mathematics
1 answer:
Marrrta [24]3 years ago
5 0

The numbers are 3 and 7

Step-by-step explanation:

Let the first number be x and the second number be y

Then according to given statement

One number added to three times another number is 24

x+3y=24     Eqn 1

Five times the first number added to three times to other number is 36

5x+3y=36      Eqn 2

Subtracting Equation 1 from equation 2

5x+3y-(x+3y)=36-24\\5x+3y-x-3y=12\\4x=12

Dividing both sides by 4

\frac{4x}{4}=\frac{12}{4}\\x=3

Putting x=3 in equation 1

3+3y=24\\3y=24-3\\3y=21

Dividing both sides by 3

\frac{3y}{3} = \frac{21}{3}\\y=7

Hence,

The numbers are 3 and 7

Keywords: Linear equations, Variables

Learn more about linear equations at:

  • brainly.com/question/5059091
  • brainly.com/question/5069437

#LearnwithBrainly

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100 Points!
tester [92]

Part A: x = -5/4, 3 || (-5/4, 0) (3, 0)

To find the x-intercepts, we need to know where y is equal to 0. So, we will set the function equal to 0 and solve for x.

4x^2 - 7x - 15 = 0

4 x 15 = 60 || -12 x 5 = 60 || -12 + 5 = -7

4x^2 - 12x + 5x - 15 = 0

4x(x - 3) + 5(x - 3) = 0

(4x + 5)(x - 3) = 0

4x + 5 = 0

x = -5/4

x - 3 = 0

x = 3

Part B: minimum, (7/8, -289/16)

The vertex of the graph will be a minimum. This is because the parabola is positive, meaning that it opens to the top.

To find the coordinates of the parabola, we start with the x-coordinate. The x-coordinate can be found using the equation -b/2a.

b = -7

a = 4

x = -(-7) / 2(4) = 7/8

Now that we know the x-value, we can plug it into the function and solve for the y-value.

y = 4(7/8)^2 - 7(7/8) - 15

y = 4(49/64) - 49/8 - 15

y = 196/64 - 392/64 - 960/64

y = -1156/64 = -289/16 = -18 1/16

Part C:

First, start by graphing the vertex. Then, use the x-intercepts and graph those. At this point we should have three points in a sort of triangle shape. If we did it right, each of the x-values will be an equal distance from the vertex. After we have those points graphed, it is time to draw in the parabola. Knowing that the parabola is positive, we draw in a U shape that passes through each of the three points and opens toward the top of the coordinate grid.

Hope this helps!

6 0
2 years ago
What is the formula to find the the perimeter of 4 sided shape
yaroslaw [1]

Answer:

add all the sides together

a+b+c+d

4 0
2 years ago
4(x-2)=10x-50 <br>solve the equation
Mariulka [41]
I hope this helps you

6 0
3 years ago
Which of the following is the slope of the line<br> A. -3<br> B. 1/3<br> C. -1/3<br> D. 3
Crazy boy [7]

A

Ask if explanation needed :)


6 0
3 years ago
1.Find the zeros of f(x) = x2 - 9
Marat540 [252]
So for the first one it is (x-3)(x+3) this is because it is a difference of squares so you square root the 9 and the minus you do both +and - in order to keep up the -9
The zeros are:x=3 and x=-3 ( this is because you change the sign in the bracket


the others should be pretty simple to do for number 2 its a complex
the third is a simple trinomial
and fourth is simple trinomial as well
6 0
3 years ago
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