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HACTEHA [7]
3 years ago
12

8X +6Y+4 Y=-3X+9 using substitution what numbers are the variables X and Y

Mathematics
1 answer:
Svetach [21]3 years ago
6 0

Answer:

(5,6)

Step-by-step explanation:

8X +6Y=4

Y=-3X+9

Substitute the second equation into the first.  Every place you see y put -3x+9)

8x +6(-3x+9)=4

Distribute

8x-18x +54 = 4

Combine like terms

-10x +54 = 5

Subtract 54 from each side

-10x +54-54=4-54

-10x = -50

Divide by -10

-10x/-10 = -50/-10

x= 5

Now we need to find y

y = -3x+9

y = -3(5) +9

y = -15+9

y= 6

(5,6)

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Step-by-step explanation:

cost for travelling 1 mile = 3.75

cost 2 miles  = 5.25

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3 years ago
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the lenght of a rectangle is 2 cm less than 7 times the width. the perimeter is 60 cm . find the width and lenght
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First, you want to establish your equations.

L=7W-2
P=60

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60=2(7W-2+W)

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First, distribute the 2.
60=14W-4+2W

Next, combine like terms.

60=16W-4

Then, add four to both sides.

64=16W

Lastly, divide both sides by 16


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28-2

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8 0
3 years ago
What is 20% tip on a bill of 59.61
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Answer:

about $12

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11.922 rounded up is 12.

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3 years ago
The largest jaw breaker in a store is spherical with a radius of 2 in, and sells for $4.00. A
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Answer:

$36

Step-by-step explanation:

1. Determine the surface area of the  largest jaw breaker

Surface area of a sphere = 4πr²

4 x 3.14 x 2² = 50.24in²

2. Determine the surface area of the new jaw breaker

4 x 3.14 x 6² = 452.16 in²

3. Determine the cost per area

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3 years ago
ASAP The tee for the fourth hole on a golf course is 300 yards from the tee. On that hole, Marsha hooked her ball to the left, a
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Answer:

C. 97.5 yd

Step-by-step explanation:

The distance between Marsha, the ball and the tee for the fourth hole, forms a triangle.

Thus, the distance between Marsha's ball and the hole can be calculated using the Cosine formula below:

c² = a² + b² - 2abcos(C)

Where,

c = distance between Marsha's ball and the hole = ?

a = distance between the tee for the fourth hole and the tee = 300 yd

b = distance between tee and the hole = 255 yd

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c = √9522 ≈ 97.5

c = distance between Marsha’s ball and the hole = 97.5 yd (nearest tenth)

6 0
3 years ago
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