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Lana71 [14]
3 years ago
9

A number, y, is equal to the difference of a larger number and 3. The same number is one-third of the sum of the large number an

d 9. Which equations represent the situation?

Mathematics
2 answers:
Evgen [1.6K]3 years ago
7 0

Answer:

D.

Step-by-step explanation:

Aleonysh [2.5K]3 years ago
5 0
<span>Let the larger number be x.

</span><span>A number, y, is equal to the difference of a larger number and 3.

y = x - 3

x - y = 3

</span>The same number is one-third of the sum of the large number and 9.

y = (1/3)(x + 9)

3y = x + 9

x - 3y = -9

The equations are:
x - y = 3
x - 3y = -9
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A cone has a volume of 50π in3 and a diameter of 10 in. Wilson states that a cylinder with the same height and diameter has the
QveST [7]

Answer:

A cylinder in which h = 6 and d = 10 has a volume of 150π in³ ; therefore, Wilson is incorrect ⇒ last answer

Step-by-step explanation:

* Lets revise the volume of the cone and the cylinder

- The volume of cone is 1/3 πr²h, where r is its radius and h is its height

- The volume of the cylinder is πr²h

* Lets solve the problem

∵ The cone has a volume 50π inches³

∵ The diameter of the cone is 10 inches

∵ The diameter is twice the radius

∴ 2r = 10 ⇒ divide both sides by 2

∴ r = 5

∵ The rule of the volume of the cone = 1/3 πr²h

∴ 50π = 1/3 π (5²)h

∵ 50π = 1/3 (25π)h ⇒ divide both sides by 25π

∴ 2 = 1/3 h ⇒ multiply both sides by 3

∴ 6 = h

∴ The height of the cone is 6 inches

- The cylinder has the same diameter and the same height of the cone

∵ The diameter of the cone = 10 inches

∵ The height of the cone = 6 inches

∴ The diameter of the cylinder is 10 inches

∴ The height of the cylinder is 6 inches

∵ The rule of the volume of the cylinder is πr²h

∵ The radius of the cylinder = 10/2 = 5 inches

∴ The volume of the cylinder = π(5²)(6) = 150π inches³

* The volume of the cylinder not equal the volume of the cone

∴ A cylinder in which h = 6 and d = 10 has a volume of 150π in³ ;

   therefore, Wilson is incorrect.

5 0
3 years ago
Read 2 more answers
Halp please reeeeeeeee ASAP
n200080 [17]
1/2 scale factor for them to be equal to each other :)
7 0
3 years ago
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To the nearest hundredth of a yard, determine the circumference of the given circle. Approximate as 3.14. r=6
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Answer:

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Step-by-step explanation:

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Suppose you have a score of 35 in a game. On your next turn, you get a 50-point penalty. What is your new score?
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A child bus ticket costs $0.40 and an adult’s ticket costs $0.70. A group of 11 individuals pays $5.90 for their fare.
oee [108]
Here we have a system of equation like this:
A+B=11\\&#10;0.4A+0.7B=5.9
from the first equation we get:
A=11-B
Substitute in the second equation we get:
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