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Jlenok [28]
3 years ago
5

A proportional relationship is represented by the equation 2x = 18y. IF y = kx, where k is the constant of proportionality, find

the value of k.
Mathematics
1 answer:
ddd [48]3 years ago
3 0
2x=18y
divide 2
x=9y
9y=x
divide by 9
y=1/9x

k=1/9
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Mario buys tickets for either 47 or 57 dollars. He purchases 14 tickets and spends 738 dollars. How many tickets did he purchase
Ivanshal [37]

Answer:

6 tickets were purchased at $47

8 tickets were purchased at $57

Step-by-step explanation:

Let the tickets purchased at $47 be x

Let the tickets purchased at $57 be y

We can form an equation from the question given which will be:

x + y = 14 ....... i

47x + 57y = 738 ........ ii

From equation i

x = 14 - y ........ iii

Substitute iii into ii

47x + 57y = 738

47(14-y) + 57y = 738

658 - 47y + 57y = 738

Collect like terms

-47y + 57y = 738 - 658

10y = 80

y = 80/10

y = 8

8 tickets were purchased at $57

Note that from i

x + y = 14

x + 8 = 14

x = 14 - 8

x = 6

6 tickets were purchased at $47

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Sarihas to read a book for English class by the end of the week.She wants to read at least 200 pages in the first 5days of the w
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6 0
3 years ago
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elena55 [62]

Answer:

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Step-by-step explanation:

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3 years ago
A bicycle wheel with diameter 16 inches rides over a screw in the street. The screw is on level ground before it
34kurt

Answer:

16 inches

Step-by-step explanation:

<em>Note: it should say 56π inches instead of 56 inches otherwise no option is correct</em>

<u>Given</u>

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<u>Full circumference of the wheel </u>

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<u>Bike moves </u>

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<u>The wheel turns:</u>

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We only consider her 0.5 of full turn of the wheel to identify the screw position

Since we consider the turns from the ground level as the initial position of the screw, the screw position in the end will be half turn opposite to ground level.

This is the full diameter length, which is 16 inches

So correct answer option is 16 inches

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KatRina [158]

Answer:

Runner 1

Step-by-step explanation:

He ran 1 mile in 10 mins

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