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Alex777 [14]
3 years ago
12

What is the slope of a line parallel to the line whose equation is y - x = 5?

Mathematics
1 answer:
Ghella [55]3 years ago
3 0
A parallel line would have the same slope as the given line so first you'd rewrite the equation y-x=5 to y=x+5 the slope is the x value so the slope is 1.
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How many numbers greater than zero and less than 50 equal the product of two consecutive positive integers?
spin [16.1K]
Consecutive numbers would be like 2 and 3, or 7 and 8.

All we need to do is keep multiplying pairs of consecutive numbers until we get above 50.

1 × 2 = 2 (that's one.)
2 × 3 = 6 (two)
3 × 4 = 12 (three)
4 × 5 = 20 (four)
5 × 6 = 30 (five)
6 × 7 = 42 (six...)
<em>7 × 8 = 56 > 50</em>
We have a total of 6 numbers that equal the product of 2 consecutive intergers<em>

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4 0
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4 0
3 years ago
Which of the following mathematical statements shows "the quotient of a number and six is eight”?
rosijanka [135]
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6 0
3 years ago
A company makes gift boxes in different sizes following the pattern shown below. What is the volume of the fourth gift box to th
AVprozaik [17]

The volume of the fourth box is of 410.1 cubic inches.

---------------------

The volume of a rectangular prism is given by the <u>base area multiplied by the height,</u> that is:

V = A_bh

---------------------

  • For the first three boxes, the height is constant at 9 inches.
  • At the base, the <u>edge length is multiplied by 1.5</u> each time, as \frac{4.5}{3} = \frac{3}{2} = 1.5, thus, for the fourth box, the edge length, in inches, will be of 4.5 \times 1.5 = 6.75

---------------------

  • Square base, of<u> length 6.75 inches</u>, thus:

A_b = 6.75^2 = 45.5625

  • Height of <u>9 inches</u>, thus h = 9 and:

V = A_bh = 45.5625(9) = 410.1

The volume of the fourth gift box will be of 410.1 cubic inches.

A similar problem is given at brainly.com/question/23756783

4 0
3 years ago
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