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stiks02 [169]
3 years ago
9

Mr.George divided his money in the ratio 2:6 between Evan and ricky.Evan got the smaller amount of $420. How much did ricky rece

ive
Mathematics
1 answer:
Gemiola [76]3 years ago
6 0
Ratios are like fractions in the way that you can simplify them if they have common factors.
we can simplify this ratio to 
1:3
that means that the bigger part got 3 times the amount of the smaller part. The problem says that Evan got the smaller amount, so if we multiply the smaller amount by 3 we should and will get the bigger amount. It says that $420 is the smaller part.
420*3=1260
so the bigger amount of money is $1260
So, because Ricky got the bigger part of Mr. George's money, he must have received
$1260<span />
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A system of inequalities is graphed below. The variable x represents the number of cans someone is buying, and y represents the
8090 [49]
We have that
<span>We will analyze each case to verify the answer
see the attached figure

</span>Point A) 7 cans and 140 bottles------------> (x,y)=(7,140)----> is not solution
Point B) 12 cans and 40 bottles------------> (x,y)=(12,40)----> is not solution
Point C) 8 cans and 120 bottles------------> (x,y)=(8,120)----> is a solution
Point D) 9 cans and 70 bottles------------> (x,y)=(9,70)-------> is a solution

the answer is
the solutions are
<span>8 cans and 120 bottles
9 cans and 70 bottles</span>

6 0
3 years ago
What is the surface area of the cylinder with height 7 cm and radius 5 cm? Round
nalin [4]

Answer:

376.991 cm²

Step-by-step explanation:

SA_{cylinder} = 2\pi r^{2}  + 2\pi rh

Surface Area = 2π(5²) + 2π(5)(7)

                      = 50π + 70π

                      = 120π

                      = 376.9911184... ≈ 376.991

<h2>Derive Surface Area of A Cylinder</h2>

If you take a look at a net of a cylinder, you can see it is composed of two circles(bases) and a rectangular strip with the length of the diameter of the circle

The formula for the area of a circle = πr², and since there are 2, it is 2πr²

The formula for circumference of a circle = 2πr, and since we are multiplying that by the height by the height of the cylinder, it is 2πrh

∴ 2πr² + 2πrh

5 0
3 years ago
One base of a triangular prism has two sides that are 15 inches wide and 10 inches long what is the possible length for the thir
Tcecarenko [31]
18.03 inches
Put the dimensions into the pythagorean theorem, that will give you the answer.
7 0
4 years ago
I NEED HELP URGENTLY
tigry1 [53]

Answer:

30 square millimeters

Step-by-step explanation:

3 x 3 = 9

3 x 1 = 3

there are two sides with the area 9 therefore...

9 x 2 = 18

There are four sides with the area 3 therefore...

3 x 4 = 12

Therefore the suface area is

12 + 18 = 30

5 0
2 years ago
A ball is dropped from a certain height. The function below represents the height f(n), in feet, to which the ball bounces at th
Vladimir [108]
The answer is C hope I helped
6 0
3 years ago
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