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victus00 [196]
4 years ago
8

What is the solution to the system? X+3y = 5 5x-3y = 7

Mathematics
2 answers:
Lorico [155]4 years ago
8 0

Answer:

(2,1)

Step-by-step explanation:

If you solve for the first variable (x) then you discover that your x coordinate is 2. You can then substitute two in for x in the equation and discover that your y-coordinate is 1 meaning your point or intersection is (2,1).

S_A_V [24]4 years ago
5 0

Answer:

x + 3y = 5

5x - 3y = 7

Add up both equations, then:

6x = 12

=> x = 2

=> y = (5 - 2)/3 = 1

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Kira has to carry 170 apples from a farm to the market. How many baskets will she need, given that each basket can hold 46 apple
Helga [31]

Answer:

4 baskets

Step-by-step explanation:

Since 170 divided by 46 equals 3 with a remainder of 32, you use the remainder,32, and change it to one more basket so 3+1=4 so Kira needs 4 baskets.

7 0
2 years ago
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What is the distance between points (4,7) and (-3,6) using the Pythagorean theorem
uysha [10]
A² + b² = c². 
Make a triangle with the points on a grid. 
One leg is 7 units and the other is 1 unit.
7² is 49 and 1² is 1. 
49 + 1 = 50 
√50 ≈ 7.071. 
Hope this helps!
6 0
4 years ago
A tire company paid $4,992 for 64 tires. Which is the most reasonable estimate for the cost of each tire?
4vir4ik [10]
$78 for each tire
4,992 divided by 64 is 78
7 0
3 years ago
Question
Butoxors [25]

Answer:

slope is (y1-y2)/x1-x2 pick two points on the line

Step-by-step explanation:

5 0
3 years ago
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A gardener wants to create a rectangular vegetable garden in a backyard. She wants it to have a total area of 120 square feet, a
erastova [34]
Comment
This is an area problem. The key words are 120 square feet and 12 feet longer.
And of course width is a key word when you are reading this.

Formula
Area = L * W

Givens
W = W
L = W + 12

Substitute and Solve
Area = L* W
120 = W*(W + 12)
W^2 + 12W = 120 square feet
w^2 + 12w - 120 = 0

This does not factor easily. I would have thought that a graph might help but not if the dimension has to be to the nearest 1/100 of a foot. The only thing we can do is use the quadratic formula.

a = 1
b = 12
c = - 120

w = [ -b +/- sqrt(b^2 - 4ac) ]/(2a)
w = [-12 +/- sqrt(12^2 - 4*(1)(-120)] / 2*1
w = [-12 +/- sqrt(144 - (-480)]/2
w = [-12 +/- sqrt(624)] / 2
w = [- 12 +/- 24.979992] / 2 The minus root has no meaning whatever.
w = (12.979992) / 2
w = 6.489995 I'll round all this when I get done

L = w + 12
L = 6.489995 + 12
L = 18.489995

check
Area = L * W
Area = 6.489995*18.489995
Area = 119.999935 The difference is a rounding error

Answer
L = 18.489995 = 18.49 feet
W = 6.489995 = 6.49 feet

Note: in the check if you round first to the answer, LW = 120.0001 when you find the area for the check. Kind of strange how that nearest 1/100th makes a difference.
5 0
3 years ago
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