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qwelly [4]
3 years ago
10

The time t required to drive certain distance varies inversely with the speed r. It takes 2 hours to drive the distance at 40 mi

les per hour,how long will it take to drive the same distance at 45 miles per hour?
Mathematics
1 answer:
Roman55 [17]3 years ago
4 0

Answer:

\frac{16}{9}  hours

Step-by-step explanation:

Whenever 2 quantities (suppose a and b) are inversely proportional to each other, we can write an proportionality equation (with k as proportional constant) as:

a=\frac{k}{b}

Since, here t is INVERSELY PROPORTIONAL to r, we can say:

t=\frac{k}{r}

Firstly, we have t = 2 hour and r = 40 mph, so we find k:

t=\frac{k}{r}\\2=\frac{k}{40}\\k=2*40\\k=80

Now, secondly, we have r = 45 and k = 80, we need to find t:

t=\frac{80}{45}\\t=\frac{16}{9}

So, it would take  \frac{16}{9}  hours

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vesna_86 [32]
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Let us assume the following values:
radius = 9
height = 10

Volume = 3.14 * 9² * 10
            = 3.14 * 81 *10
Volume = 2,543.40

Changes:
radius is reduced to 2/9 of its original size = 9 x 2/9 = 2
height is quadrupled = 10 x 4 = 40

Volume = π r² h
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Volume = 502.40

Original volume = 2543.40   V.S.  Volume after change = 502.40

The volume of an oblique cylinder decreased when its radius was decreased to 2/9 of its original size and its height is increased 4 times. 
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2 years ago
Boxes of sticky hands popsicles are 4.50. The supermarket is offering a 30% off coupon. What is the price with the coupon?
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if you want to know how much discount the coupon give you then

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takes off $1.35

proportion method

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3/10=x/4.5
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3 0
3 years ago
Read 2 more answers
Solve for v: -10=-5/4v
vagabundo [1.1K]

Answer:

v = 8

Step-by-step explanation:

-10= -5/4v first multiply both sides of the equation by -4/5

-10(-4/5) = v this cancels out the right side.

multiply the left side.

so you are left with 40/5 = v

next, simplify you will get 8=v

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2 years ago
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