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Liono4ka [1.6K]
3 years ago
8

Mrs. Owens received a call from her bank because she had a checkbook balance of −$45. What was the magnitude of the amount overd

rawn?
Mathematics
1 answer:
Damm [24]3 years ago
3 0

Answer:

$45

Step-by-step explanation:

For calculating the magnitude of quantities we use the absolute value. The absolute |x| of a number x is value of x regardless to its sign. So we will have |x| = x if x is positive, and |x| = −x if x is negative, which means that our result will be always positive.

This means that the magnitude of the amount overdrawn is |-$45|=$45

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Twelve of the 40 cars pulled by the locomotive were tankers.
quester [9]
12 are tankesr
40 cars total
12/40
12/40=6/20=3/10

3/10=tankders
10/10-3/10=7/10
7/10=70/100=70%
70% wern't tankser
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3 years ago
If 1 orange cost 30 cents how many oranges can you buy for 10.50
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Answer:

300!! I think...

Step-by-step explanation:

30 x 10 = 300

7 0
2 years ago
Read 2 more answers
Ellus
butalik [34]

9514 1404 393

Answer:

  2.25

Step-by-step explanation:

Add the square of half the x-coefficient to complete the square.

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4 0
3 years ago
Write an equivalent equation that does not contain parentheses for 3(k-x) = -3x-9
amm1812
3(k-x)= -3x-9
3k - 3x = -3x - 9 ← equation without parentheses
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k = -9/3 
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8 0
3 years ago
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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