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photoshop1234 [79]
2 years ago
9

Karina uses the system of equations below to compare the monthly utility costs in July and December for electricity, x, and natu

ral gas, y. 750x + 17y = 141.61 300x + 30y = 75.90 Karina solves the system using linear combination and arrives at the equation 116y = 96.28. She then solves this equation for y. Which statement explains Karina’s solution? The cost of natural gas is $0.17 per unit. The cost of natural gas is $0.20 per unit. The cost of natural gas is $0.72 per unit. The cost of natural gas is $0.83 per unit.
Mathematics
1 answer:
iren [92.7K]2 years ago
8 0

The correct statement is The cost of natural gas is $0.83 per unit.

The equations representing her utility costs in July and December are known as simultaneous equations. These equations have to be solved jointly in order to determine the cost of electricity and natural gas.

Given the equation gotten by Karina: 116y = 96.28

Where y represent the cost of natural gas

In order to determine the value of y, divide both sides of the equation by 116

y = 96.28 / 116

y = $0.83

To learn more about simultaneous equations, please check: brainly.com/question/25875552

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Use the method of completing the square to solve x2 - 6x + 1 = 0. Simplify your solutions.
exis [7]

Answer:

x = 3 ± 2\sqrt{2}

Step-by-step explanation:

given

x² - 6x + 1 = 0 ( subtract 1 from both sides )

x² - 6x = - 1

To complete the square

add (half the coefficient of the x- term)² to both sides

x² - 6x + (- 3)² = - 1 + (- 3)²

x² - 6x + 9 = - 1 + 9

(x - 3)² = 8 ( take the square root of both sides )

x - 3 = ± \sqrt{8} = ± 2\sqrt{2} ( add 3 to both sides )

x = 3 ± 2\sqrt{2}

8 0
3 years ago
the pie factory sells an apple pie with a diameter of 16 in. for $10.99. What's the approximate cost per square inch of surface
AURORKA [14]
I'm going to assume the crust covered by the dosenot matter because the total surface area cannot be found without the depth of the pie.

So the surface are is the area of the top of the pie, the top of the pie is circular and is equal to 2\pir²

The diameter is the sum of 2 radii, hence r=8

D=12
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r=8

With the raduis the area can be found
A= 2\pir²
A=2\pi8² 
A=2(64)\pi
A=128\pi

If the pie cost 10.99, the cost per inch can be found by dividing the area by cost

cost/inch =128 \pi/10.99
cost/inch =11.64\pi
               = 11.64(3.14)
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The pie costs 36 cents per square inch
5 0
3 years ago
QUESTION 8
vfiekz [6]
54 percent

You add the two together to get 39, then divide 21 by 39. This gives you 0.538, which turns into 54%
7 0
3 years ago
Nina graphs the function y = ⌊x⌋ to learn the properties of the parent floor function. What is the value of y when x =5.7?
Studentka2010 [4]
I think the answer is 5
6 0
3 years ago
Read 2 more answers
Will give brainliest lots of points A is the midpoint of LB,Lb =6x-17 and AB=2x+3
NARA [144]
A is the mid point ==> AL = AB = 2AB
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then just plug x into LB and AB
5 0
3 years ago
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