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Greeley [361]
3 years ago
9

A circular rim 28 inches in diameter rotates the same number of inches per second as a circular rim 35 inches in diameter. if th

e smaller rim makes x revolutions per second, how many revolutions pe
Mathematics
1 answer:
Oxana [17]3 years ago
7 0
1 revolution of a circle = circumference of that circle.

<span>1 revolution of a circle with the diameter of 28 inches = </span><span><span>πd=28π</span><span>πd=28π</span></span><span> inches. Hence, x revolutions per second = </span><span><span>28πx</span><span>28πx</span></span><span> inches per second = </span><span><span>60∗28πx</span><span>60∗28πx</span></span><span> inches </span>per minute.

<span>Given that </span><span><span>60∗28πx=35πn</span><span>60∗28πx=35πn</span></span><span> --> </span><span><span>n=<span><span>60∗28πx</span><span>35π</span></span>=48x</span><span>n=<span><span>60∗28πx</span><span>35π</span></span>=48x</span></span><span>.</span>
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C. If 5x + 10 =20 then x =2

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3 years ago
Convert 0.00000065 into scientific notation. (Ex: {6.14×10²} )
yKpoI14uk [10]

Answer:

6.5 x 10^-7

Step-by-step explanation:

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Jake wants to buy a skateboard. The one he is looking at cost $295. It is on sale for 35% off. How much will Jake save if he buy
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191.5

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3 years ago
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A) x = -2<br> B) y =2<br> C) y= -2
LenKa [72]

Answer:

Step-by-step explanation:

This is a positive parabola so it opens upwards. The equation for the directrix of this parabola is y = k - p. k is the second number in the vertex of the parabola which is (0, 0), but we need to solve for p.

The form that the parabola is currently in is

y=a(x-h)^2+k so that means that a=\frac{1}{8}. We can use that to solve for p in the formula

p=\frac{1}{4a} so

p=\frac{1}{4(\frac{1}{8}) } which simplifies to

p=\frac{1}{\frac{1}{2} } which gives us that

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3 years ago
Javier is purchasing a bouquet of roses from a floral shop. He wants the bouquet to have at least 12 roses but wants to spend le
Umnica [9.8K]

Answer: x+y\geq12

2.75x+3.50y\leq35

Step-by-step explanation:

Let x represents the number of red roses and y represents the number of white roses.

Given : Javier is purchasing a bouquet of roses from a floral shop. He wants the bouquet to have at least 12 roses.

i.e. the required inequality for this statement will be :-

No. of red roses +No. of white roses ≥ 12

i.e. x+y\geq12

Also, Red roses cost $2.75 each and white roses cost $3.50 each and he wants to spend less than $35.

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i.e. 2.75x+3.50y\leq35

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2.75x+3.50y\leq35

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