Answer:
61 - 10x
2k
42 / 6 = 7
38 + 2m
3y - 6
Step-by-step explanation:
A. Sixty-one diminished by ten x
= 61 - 10x
B. The product of twice a number k
= 2 * k
= 2k
C. The quotient of forty-two and six is seven
42 / 6 = 7
D. Twice the total of nineteen and a number m.
= 2(19 + m)
= 38 + 2m
E. Six less than 3 times y
3y - 6
Assuming that the sides of the box are square (having 90° angles on all four corners), then it should be relatively easy for us to find the length of the box, given the perimeter and the length of one side.
We know the length of all sides combined is 42 inches, and that the length of one side is 9 inches. With a rectangular prism, the length of one side is the same as the length of the opposite side, so there are two sides that measure 9 inches.
All we need to do to find the measure of both the other sides' lengths is subtract the known lengths from the total length.
9 + 9 = 18
42 - 18 = 24
So the rest of the side lengths added together is 24 inches.
There are two sides left, so all we have to do is divide by 2 to find the length of the box.
24 / 2 = 12
The length of Kate's jewelry box is 12 inches.
Hope that helped =)
Answer:
6?
Step-by-step explanation:
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Is easy?
<h3>
Answer:</h3>
(-4, 15), (1.5, 4)
<h3>
Step-by-step explanation:</h3>
This is easily solved using a graphing calculator. (See attached.)
_____
Algebraically, the solution is found by equating the expressions for y:
... -2x +7 = y = 2x² +3x -5
... 2x² +5x -12 = 0 . . . . rearranged to standard form
... (2x -3)(x +4) = 0 . . . . factor
The x-values of the points of intersection are those that make these factors be zero:
... 2x-3 = 0 ⇒ x = 3/2
... x+4 = 0 ⇒ x = -4
The linear equation is the easiest to use to find the corresponding y-values.
... for x = 3/2, y = -2(3/2) +7 = 4
... for x = -4, y = -2(-4) +7 = 15
The points of intersection are (-4, 15) and (3/2, 4).
5 7/12 because 2 1/3 + 3 1/4 = 67/12 (or 5 7/12) This can be shown as: 2 4/12 + 3 3/12 = 5 7/12
