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loris [4]
3 years ago
13

Find the solution of the system of equations.

Mathematics
1 answer:
avanturin [10]3 years ago
7 0

Answer:

3

Step-by-step explanation:

The number is 3.

Step-by-step explanation:

Finding the Number

To find the number, we have to translate the problem above to an algebraic equation. The algebraic equation refers to the statement of the equality of two algebraic expressions.

Equation:

Let "x" be the number.

4 is divided by a number - 4/x

3 divided by the number decreased by 2 - 3/x-2

"4 is divided by a number is equal to 3 divided by the number decreased by 2"

4/x = 3/x-2

Solution:

Cross multiply.

4/x = 3/x-2

x(3) = 4(x-2)

3x = 4x - 8

(Combine similar terms.)

3x - 4x = - 8

- x = - 8

- x/- 1 = - 8/- 1

x = 8

Final Answer:

8

Checking:

4/x = 3/x-2

4/8 = 3/8-2

1/2 = 3/6

1/2 = 1/2 ✔

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Cloud [144]

Answer:

Softball : Speed: 29.68 m/s --- Kinetic Energy: 82.36 Joules

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I hope this helps! Please give me Brainliest. Sorry for the late response, my power went out.

4 0
3 years ago
Read 2 more answers
A parabola intersects the xxx-axis at x=3x=3x, equals, 3 and x=9x=9x, equals, 9.
vekshin1

Answer:

x^2-12x+27 =0

Step-by-step explanation:

Given a Parabola that intersects the x-axis at x=3 and x=9.

I presume you want to determine the equation of the parabola.

You can use this form:

Given roots of a parabola, the equation of the parabola is derived using the formula:

x^2-($Sum of Roots)x+Product of Roots =0\\Since roots are 3 and 9, the equation becomes:\\x^2-(3+9)x+(3X9) =0\\x^2-12x+27 =0

The equation of the parabola is:

x^2-12x+27 =0

8 0
3 years ago
Use the Distributive Property to find the product.
tigry1 [53]
1) 4 divided by 7 = 0.57
2) 4 times 5 = 20 and 4 times 8 = 32
3) 20 plus 32 = 52
4) 0.57 times 52 = 29.64

5) answer : 29.64

i hope this is correct. i tried to break it down.
5 0
2 years ago
Read 2 more answers
The equation of the line that goes through the point (−10,8) and (−3,-4) can be written in the form y=mx+b
Y_Kistochka [10]

Answer:

m is -12/7 and b is -64/7

Step-by-step explanation:

Use rise over run (change in y / change in x) to find the slope, m:

(-4 - 8) / (-3 + 10)

= -12/7

So, m is -12/7.

Plug in this value and a point into y = mx + b, then solve for b:

y = mx + b

-4 = -12/7(-3) + b

-4 = 36/7 + b

-64/7 = b

So, m is -12/7 and b is -64/7

8 0
3 years ago
Tom's's garden has 9 tomato plants, 5 pepper plants, 3 squash plants, and 6 pumpkin plants.
Marianna [84]

Answer:

Squash plant.

Step-by-step explanation:

I'm not sure how to explain, but if you divide 9 by 3, you get 3. There are 3 squash plants, so that's the answer. You could also write it as a ratio...

9:3

3:1

I'm not exactly sure how to explain the ratio part either, but I hope it helped at least a little bit...have an amazing day :3

6 0
3 years ago
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