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3 years ago

Write 3 different ratios that are equivalent to 7:3

Mathematics

1 answer:

Maslowich3 years ago

5 0

Answer:

Ratio 1= 14:6

Ratio 2=21:9

Ratio 3=28:12

Step-by-step explanation:

7:3

7×2=14

3×2=6

=14:6

7×3=21

3×3=9

=21:9

7×4=28

3×4=12

=28:12

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Find the volume of a cylinder with a diameter of 8 inches and a height that is three times the radius. Use 3.14 for pi and round

ivann1987 [24]

Step 1: Find the area of the base: pi(r^2)=3.14(8^2)=200.96
Step 2: Multiply area by height. Height= 3(8)=24
Volume= 24*200.96=4823.04 inches

Hope this helps!

7 0

3 years ago

Solve for y using the distributive property 2(y - 14) =8

Paraphin [41]

(y-14)=8/2
y-14=4
y=4+14
y=18

8 0

2 years ago

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If 5 hamburgers cost $10, what is the cost for 3 hamburgers?

mestny [16]

Answer: 6$

Step-by-step explanation: 5 divided by 10 = 2$ so 3 x 2 = 6

I do not hold responsibility if you get it wrong :(

6 0

3 years ago

Find the slope of the line through the points (6,16) and (−6,4)

MakcuM [25]

$m = \frac{y2-y1}{x2-x1}$

$m = \frac{4-16}{-6-6} \\m = \frac{-12}{-12} \\\\m = 1$

Therefore, the slope of the line is 1. In case if you want to know the equation.

$y=mx+b\\y=x+b\\4=-6+b\\4+6=b\\10=b\\$

Therefore, the equation is y=x+10 by substituting the (-6,4) or we can substitute (6,16) too.

$y=mx+b\\y=x+b\\16=6+b\\16-6=b\\10=b\\$

It's the same, you can use any orders given.

Overall, the slope is 1 and the equation is y=x+10

3 0

3 years ago

The object below was made by placing a cone on top of a cylinder. The base of the cone is congruent to the base of the cylinder.

Ber [7]

Answer:

Part 1) The volume of the object is $32\pi\ cm^{3}$ or $100.48\ cm^{3}$

Part 2) see the procedure

Step-by-step explanation:

The picture of the question in the attached figure

Part 1) What is the volume, in cubic centimeters, of the object?

we know that

The volume of the object is equal to the volume of the cylinder plus the volume of the cone

Find the volume of the cone

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2} h$

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

$h=3\ cm$

substitute the values

$V=\frac{1}{3}\pi (2^{2})(3)=4\pi\ cm^{3}$

Find the volume of the cylinder

The volume of the cylinder is equal to

$V=\pi r^{2} h$

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

$h=(10-3)=7\ cm$

substitute the values

$V=\pi (2^{2})(7)=28\pi\ cm^{3}$

Part 2) Then explain how you found the volume of the total shape

The volume of the total shape is equal to the volume of the cylinder plus the volume of the cone

$4\pi\ cm^{3}+28\pi\ cm^{3}=32\pi\ cm^{3}$ ------> exact value

Find the approximate value of the volume

assume

$\pi=3.14$

$32(3.14)=100.48\ cm^{3}$

7 0

3 years ago

Read 2 more answers