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KIM [24]
3 years ago
10

one number is seven less than five times another. if their sum is increased by one, the result is twelve. find the numbers

Mathematics
1 answer:
IgorC [24]3 years ago
5 0

<u>x = 8</u>

<u>y = 3</u>

x = 5y - 7

x + y + 1 = 12

Because we have a value for x, we can use it in the second equation to find the value of y.

5y - 7 + y + 1 = 12

<em><u>Combine like terms</u></em>

6y - 6 = 12

<em><u>Add 6 to both sides.</u></em>

6y = 18

<em><u>Divide both sides by 6.</u></em>

y = 3

Now that we have a value for y we can place it back in the equation to find the value of x.

x + 3 + 1 = 12

<em><u>Subtract 4 from both sides.</u></em>

x = 8

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Does anyone know how to do this
otez555 [7]

Considering the area of the rectangle, we have that the length is of 8 units and the width is of 10 units.

<h3>What is the area of a rectangle?</h3>

The area of a rectangle of length l and width w is given as follows:

A = lw.

In this problem, the area is of 80 square units, while the length and the width are consecutive even integers, hence:

  • A = 80.
  • w = l + 2.

Then:

l(l + 2) = 80

l² + 2l - 80 = 0

(l + 10)(l - 8) = 0.

We need the positive measure, hence:

l -  8= 0 -> l = 8 units.

w = l + 2 = 10 units.

More can be learned about the area of a rectangle at brainly.com/question/10489198

#SPJ1

8 0
2 years ago
I need help on this this
SIZIF [17.4K]

Answer:

  no

Step-by-step explanation:

The sum of angles in a triangle must be 180°. The given angles have a greater sum, so cannot be used to make a triangle.

5 0
4 years ago
Why are angles opposite each other when two lines cross called vertical angles?
Nezavi [6.7K]
They are called vertical angles because the definition of vertical is: <span>in a direction, or having an alignment, such that the top is directly above the bottom. The "angles opposite each other when two lines cross" match the definition.</span>
3 0
3 years ago
What is 5 times 1? I learned this a long time ago but I forgot.
mr_godi [17]

ANSWER:

STEP-BY-STEP EXPLANATION:

The operation is a multiplication, which is expressed as follows:

undefined

3 0
1 year ago
(X^2+3)^2 - (x^2-1)^2
Julli [10]

Answer:

8(X^2+1)

Step-by-step explanation:

(X²+3)²-(X²-1)

(X²+3)(X²+3)-(X²-1)(X²-1)

X⁴+3X²+3X²+9-(X⁴-X²-X²+1)

X⁴+6X²+9-(X⁴-2X²+1)

X⁴+6X²+9-X⁴+2X²-1

8X²+8

3 0
3 years ago
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