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3 years ago

Tarik rides a stationary bike and Janet rides her bike on a trail. Their data is shown

Mathematics

1 answer:

KiRa [710]3 years ago

6 0

Answer:

Part a. The graph does not model a proportional relationship.

Part b. The values in table model a proportional relation.

3.5 minutes per mile.

Step-by-step explanation:

Part a.

The graph shown in the question representing Janet's data is not a straight line although it passes through the origin.

That is why the rate of change of distance with time is not constant.

Therefore, the graph does not model a proportional relationship.

Part b.

If we plot the data in the table using distance in miles along the y-axis and time in minutes along the x-axis, then we will get a straight line passing through the origin.

So, the values in the table model a proportional relation.

Now, Tarik's unit rate in minutes per miles will be $\frac{7-0}{2-0} =3.5$ minutes per mile. (Answer)

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Beakers X and Y contain some water. If 50 ml of water is transferred from Beaker X

eduard

Answer:

140 ml

Step-by-step explanation:

Let x be the amount of water in Beaker X and y be the amount of water in Beaker Y.

Then we get following equations:

First part

x - 50 = 3/7(y + 50)
7x -350 = 3y + 150
7x = 3y + 500

Second part

x + 100 = 4(y - 100)
x + 100 = 4y - 400
x = 4y - 500

Substitute x in first equation:

7(4y - 500) = 3y + 500
28y - 3500 = 3y + 500
28y - 3y = 500 + 3500
25y = 4000
y = 4000/25
y = 160 ml

Then finding x:

x = 4*160 - 500
x = 640 - 500
x = 140 ml

Initial amount of water in Beaker X is 140 ml, in Beaker Y is 160 ml

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3 years ago

Im stuck need help me i don't get it

alexgriva [62]

Answer:

J. 12 : 18

Step-by-step explanation:

Amy used 2 tea bags for every 3 cups of water to make iced tea

the ratio here is 2:3

x = 2:3

lets simplify our ratios

6 : 10 = 3 : 5 ≠ 2 : 3

5 : 6 = (doesn't simplify evenly) ≠ 2 : 3

9 : 15 = 3 : 5 ≠ 2 : 3

12 : 18 = 2 : 3 = 2 : 3

<h3>Simplifying</h3>

find their highest common factor and divide both the numbers by the same amount (HCF).

Ex.

12 : 18

12 ÷ 6 = 2

18 ÷ 6 = 3

2 : 3

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2 years ago

Read 2 more answers

$250, 2.85%, 3 years Simple interest

rosijanka [135]

Ok so you put I = 250 x .0285 x 3 and it gives you 21,375 then you add 21,375 with 250 and it gives you 21,625 that world be your answer

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3 years ago

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sesenic [268]

.03*.03=.009 .009*.03=.000027 so the answer is .000027

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3 years ago

The answer to this equation

12345 [234]

Answer:

x=3

Step-by-step explanation:

We are given the equation

$log5x=log(2x+9)$

This can be rewritten as

$log5x-log(2x+9)=0$

Now using the quotient rule for logarithms we can combine these two

$log(\frac{5x}{2x+9} )=0$

Next we can remove the log by using an inverse operation

$10^{log(\frac{5x}{2x+9} )} =10^0\\\\\frac{5x}{2x+9}=1$

Now we can solve for x

$\frac{5x}{2x+9}=1\\\\5x=2x+9\\\\3x=9\\\\x=3$

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3 years ago