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AnnZ [28]
4 years ago
8

The time t required to drive a centain distance varies inversely with the speed r. If it takes 2 hours to drive the distance at

30 mines per hour how long will it take to drive the same distance at 50 miles per hour
Mathematics
1 answer:
Romashka [77]4 years ago
3 0
An inversely proportional equation for our set of circumstances looks like this:  t= \frac{k}{r}.  We have a t value of 2 and an r value of 30, so we will sub those values in and solve for k, the constant of variation.  2= \frac{k}{30}.  Multiply both sides by 30 to get that k = 60.  Now we need to find t when r = 50.  We can do this now because we have a value for k.  t= \frac{60}{50}  and t = 1.2 hours.
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A survey of customers at a restaurant revealed that 7 out of 10 customers preferred the restaurants new spaghetti sauce. Which g
Alinara [238K]

The graph that shows the proportional relationship y = 0.7x is Graph A.

<h3>What is a proportional relationship?</h3>

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

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3 years ago
A scientist had 3 1/2 liters of vinegar. He poured 2/3 of the vinegar into beaker. He then used 3/5 of the vinegar in the beaker
valentinak56 [21]

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A)2100 ml

Step-by-step explanation:

Given total vinegar is 3 1/2 liters and the used vinegar is  3/5 of the vinegar in the beaker:

#First calculate the amount of vinegar not poured in the beaker:

V_o=V_t-V_b\\\\=3\frac{1}{2}(1-\frac{2}{3})\\\\=1\frac{1}{6}

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#The unused vinegar is therefore calculated by subtracting the used vinegar from the total at the start of the experiment:

V_r=V_t-V_u\\\\=3\frac{1}{2}-1\frac{2}5}\\\\=2\frac{1}{10}\times 1000\ ml\\\\=2100\ ml

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