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Ad libitum [116K]
3 years ago
9

Summer vacation is 68 days long and 3/4 of the vacation has gone by. How many days are left? Explain!!

Mathematics
2 answers:
Stells [14]3 years ago
4 0
17 days are left. 68/4*3 gives you that
Nadusha1986 [10]3 years ago
3 0
There are 17 days left of vacation because 3/4 of 68 is 51 (68 divided by 4 and times by 3).

68 (the total days of vacation) - 51 (the days that have gone by so far)=
17 (the days left of the vacation)

Hope that helped!!!
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A -2
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A has the coordinates (–4, 3) and B has the coordinates (4, 4). If DO,1/2(x, y) is a dilation of △ABC, what is true about the im
loris [4]

Answer:

Coordinates of Vertices of triangle ABC are A (-4,3) , B(4,4) and C(1,1).

As, DO is Dilation of Δ ABC by Scale factor of \frac{1}{2}.

Vertices of A' B'C' are

A'=(\frac{-4}{2},\frac{3}{2})=(-2,\frac{3}{2}), B'=(\frac{4}{2},\frac{4}{2})=(2,2), C'=(\frac{1}{2},\frac{1}{2})

So, Image Δ A'B'C' will be smaller than the Pre image Δ ABC.

The two triangles will be congruent.

AO is Dilated by a factor of half , so A'O' will be half of AO.

So, correct Statements are

1. AB is parallel to A'B'.

2.DO,1/2(x, y) =  

The distance from A' to the origin is half the distance from A to the origin.

OA=\sqrt{(-4)^2+3^2}=\sqrt{25}=5\\\\ O'A'=\sqrt{2^2+(\frac{3}{2})^2}=\frac{5}{2}=2.5

8 0
2 years ago
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Which equation has x=6 as the solution
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Answer:

Is there a picture? Or is it on a worksheet or something

Step-by-step explanation:

8 0
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2 years ago
ben is filling up his cylinder shaped pool up to 80% of its capacity . If his is 6 feet deep and has a diameter of 18 feet, how
vlada-n [284]

Answer:

You will put 1220.83ft³ of water in the pool

Step-by-step explanation:

radius = half of diameter

d = 18ft

r = 18ft / 2 = 9ft

To calculate the volume of a cylinder we have to use the following formula:

v = volume

h = height = 6ft

π = 3.14

r = radius = 9ft

v = (π * r²) * h

we replace with the known values

v = (3.14 * (9ft)²) * 6ft

v = (3.14 * 81ft²) * 6ft

v = 254.34ft² * 6ft

v = 1526.04ft³

The volume of the cylinder is 1526.04ft³

If it is filled to 80% then we have to multiply the volume by 80/100

1526.04ft³  * 80/100 = 1220.83ft³

You will put 1220.83ft³ of water in the pool

5 0
3 years ago
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