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White raven [17]
1 year ago
7

Ashley is the oldest of four siblings whose ages are consecutive even integers. If the sum of their ages is 100, find Ashley's a

ge.
Mathematics
1 answer:
jok3333 [9.3K]1 year ago
4 0

Answer:

Ashleys age is 28.

Step-by-step explanation:

When finding numbers that are consecutive, I like to divide the sum in this case, 100 by the number of people or things, in this case, the 4 siblings. The sum is 100 and there are 4 of them so we divide them first.

100÷4=25 so our answer must be around there. The question states that the ages must be even. So the even numbers in the range of lets say 20-30 are 20, 22, 24, 26, 28 and 30. Closest four numbers to 25 are 22, 24, 26 and 28. We must have two numbers below 25 and two numbers above 25.  So we will keep 22,24,26 and 28. If you add them together, then you'll get 100! Since we are looking for Ashley's age which is the oldest, her age will be 28 as 28 is the highest number out the four numbers (22,24,26,28)

Good Luck and hope this helped! <33

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The length of a rectangle is 4 inches more than its width, and its perimeter is 34 inches. Find the length and width of the
gizmo_the_mogwai [7]

Answer:

Width = 6.5 inches

Length = 10.5 inches

Step-by-step explanation:

Let

"l" be length of rectangle

and

"w" be width of rectangle

Since length of rectangle is 4 inches MORE THAN WIDTH, we can write:

l = 4 + w

The perimeter is sum of all sides, so

Perimeter = l + l + w + w = 2l + 2w

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2l + 2w = 34

Putting 1st equation in 2nd, we get equation in "w" and solve for this first:

2l + 2w = 34\\2(4+w) + 2w = 34\\8+2w+2w=34\\4w=26\\w=\frac{26}{4}=6.5

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3 0
3 years ago
-1 and 3/5 divided by (-2/3) as a mixed number
goblinko [34]

Answer:

2 2/5

Step-by-step explanation:

change -1 3/5 to an improper fraction

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-1 3/5 ÷ -2/3 =

-8/5 ÷-2/3

copy dot flip

-8/5 * -3/2

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divide top and bottom by 2

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2 2/5

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masya89 [10]

Answer:

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Step-by-step explanation:

Triangle MNO is dilated by a scale factor of \frac{3}{2} centered at M(0, 6).

Rule to be followed to dilate the vertices of the given triangle,

(x, y) → (kx, ky)

Here, k = scale factor

By this rule vertices of the new triangle M'N'O' will be,

M(0, 6) → M'(0, 6) [Coordinates of M' will remain same as M because center of dilation is point M]

N(-4, -4) → N'(-6, -6)

O(6, -2) → O'(9, -3)

Option 1

M'N' is shorter than MN

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Option 2

ON is shorter than O'N'

True.

Option 3

OM is longer than O'M'

False

Option 4

ON is parallel to O'N'

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True.

Option 5

OM is parallel than O'M'

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Therefore, all the points (O, M and M') will be in a straight line.

False

Option 6

M'N' coincide with MN

True.

Therefore, Options 2, 4 and 6 are True.

3 0
2 years ago
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