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dsp73
3 years ago
6

This holiday weekend, Sue is going to Chicago to shop and to see a baseball game. To avoid traffic, Sue decides to take the trai

n.
There is a proportional relationship between the time (in minutes) Sue spends riding the train, x, and the distance she travels (in miles), y
Mathematics
1 answer:
Pavel [41]3 years ago
6 0

A proportional relationship is used to illustrate linear equations.

The constant of proportionality is 3

From the table, we have the following points:

(x,y) = (2,6) (3,9)

The constant of proportionality is calculated using:

\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}

So, we have:

\mathbf{m = \frac{9-6}{3-2}}

Subtract

\mathbf{m = \frac{3}{1}}

Divide

\mathbf{m = 3}

Hence, the constant of proportionality is 3

Read more about constants of proportionality at:

brainly.com/question/18707816

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Vanyuwa [196]
V = Vcyl - Vcone
V = base×height - 1/3base×height
V = (pi×5^2)(16) - 1/3(pi×4^2)(12)
V = 1256 - 200.96
V = 1055.04 cubic cm.
7 0
3 years ago
What number is 75% of 8007
Sladkaya [172]

Answer:

600

Step-by-step explanation:

i hope tht helped I had tht question a couple days ago

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13. The figure below shows three identical squares ABCD, CEFG and CJIH
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Step-by-step explanation:

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7 0
3 years ago
Find the value of x. (Picture attached.)
Svet_ta [14]

Here, triangle AEN and ALG are similar.


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\frac{21}{42} =\frac{2x-9}{(2x-9)+(x+7)}\\\\\frac{1}{2} =\frac{2x-9}{3x-2}\\\\ 3x-2=4x-18\\\\-2+18=4x-3x\\\\16=x\\\\x=16\\

5 0
3 years ago
When Klorina swims with the current, she swims 10 km in 2 h. Against the current, she can swim only 8 km in the same time. How f
nasty-shy [4]

Answer:

Klorina's rate in still water is 4.5 km/h

Current's rate is 0.5 km/h

Step-by-step explanation:

Let

x km/h = Klorina's rate in still water

y km/h = current's rate

<u>With the current (current helps):</u>

Distance = 10 km

Time = 2 hours

Rate = x + y km/h

10=2(x+y)

<u>Against the current:</u>

Distance = 8 km

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8=2(x-y)

Divide both equations by 2:

x+y=5\\ \\x-y=4

Add these equations:

x+y+x-y=5+4\\ \\2x=9\\ \\x=4.5\ km/h

Subtract these two equations:

(x+y)-(x-y)=5-4\\ \\x+y-x+y=1\\ \\2y=1\\ \\y=0.5\ km/h

4 0
3 years ago
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