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Maslowich
3 years ago
11

The sum of two numbers is 87. The difference of the same to numbers is negative 111. Find the numbers.

Mathematics
1 answer:
anyanavicka [17]3 years ago
5 0

Answer:

99 and - 12

Step-by-step explanation:

let x and y be the 2 numbers, then

x + y = 87 → (1)

x - y = - 111 → (2)

Adding the 2 equations term by term eliminates the y- term

2x = - 24 ( divide both sides by 2 )

x = - 12

Substitute x = - 12 into (1)

- 12 + y = 87 ( add 12 to both sides )

y = 99

The 2 numbers are 99 and - 12

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I forgot how to convert the inequalities so if someone could please help me that would be great!
jeyben [28]

WHEN GRAPHING

Step 1. Convert to y = mx + b

  • Equation 1: y = 3x/2 - 16/2
  • Equation 2: y = -5 - 2x

Step 2. Graph like normal

  • Find zeros & plot
  • Find y-intercept & plot

Step 3. Shade as indicated by the inequality symbol

  • > or ≥ = above line
  • < or ≤ = below line

Step 4. If  ≤ or ≥ ONLY, then also shade the line

FOR THIS PROBLEM

1. Graph each equation

2. Shade ABOVE line for each

3. Shade line first equation as well

Hope this helps and God bless!

4 0
2 years ago
Two numbers have a product of 20. The second number is three less than twice the first number. What are the two numbers?
yan [13]

Answer:

4 and 5

Step-by-step explanation:

xy = 20

x = 2y - 3

(2y-3)y = 20

2y^2 - 3y = 20

2y^2 - 3y - 20 = 0

Solve the quadratic equation

you get y = 4, -5/2

Use 5 since it is one of the options

xy = 20, y = 4

x = 5

4 0
3 years ago
4. Bryce has 220 feet of fencing that will enclose a rectangular corral. One side of the corral will be 48 ft long. What will be
RideAnS [48]

Answer:

The area of the rectangular coral = 2,976 ft²

Step-by-step explanation:

Bryce has 220 ft of fencing to fence a rectangular coral.

Let the dimensions of the corral be x ft. × y ft.

One side of the coral is 48 ft. long

A rectangle has 4 sides, with each of the two opposite sides with the same dimension. Hence, the perimeter of the rectangular coral = 2(x + y) = 2x + 2y.

Total length of material for fencing = 220 ft.

Hence the perimeter of the reef = 220 ft.

2x + 2y = 220

And one length of the rectangular coral = x = 48 ft.

We can solve for the remaining dimension of the rectangular coral this way.

2(48) + 2y = 220

2y = 220 - 96 = 124

y = (124/2) = 62 ft.

Hence, the area of the rectangular coral = xy = 48 × 62 = 2,976 ft²

Hope this Helps!!!

7 0
3 years ago
Read 2 more answers
11in 8.1 in 15 in 7 in?
Anna11 [10]

Answer:

These dimensions represent area of a shape, or area of each side of a 4 sided 3D shape.

8 0
3 years ago
Write the number seven and one - third as a decimal rounded to the nearest hundredth
bagirrra123 [75]
Well you know you keep the 7. 1/3 well you see it as .3333 so just go 7.33 because 7.333 and since it's a 3 you keep it.
4 0
3 years ago
Read 2 more answers
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