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jarptica [38.1K]
3 years ago
10

Write an equation to show that Y is directly proportional to x using the constant of proportionality given. Then solve for the u

nknown value.
k = 3/11 and x = 9
Mathematics
1 answer:
olga55 [171]3 years ago
8 0

Answer:

y = 2\frac{5}{11}

Step-by-step explanation:

y ∝ kx

y = \frac{3}{11} × 9 = 2\frac{5}{11}

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3 years ago
An 16 16​-oz jar of peanut butter in the shape of a right circular cylinder is 7 7 in. high and 5 5 in. in diameter and sells fo
olya-2409 [2.1K]

Answer:

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

Considering the 16 oz jar,

h = 7 inches

Diameter = 5 inches

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r = 2.5 inches

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Considering the 29 oz jar,

h = 7.5 inches

Diameter = 5.25 inches

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r = 2.625 inches

Volume = 3.14 × 2.625² × 7.5 = 162.27 inches³

1) If the cost is directly proportional to​ volume, then

If 137.375 inches³ cost $1.6

then 162.27 inches³ should cost

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The price of the larger jar would be $1.89

2) If the cost is directly proportional to​ weight, then

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7 0
3 years ago
It costs 4 tokens to park in a garage for an hour. how many hours can you park with 30 tokens?
babunello [35]

Read the question carefully: it costs 4 tokens to park in a garage for an hour.

We will apply the unitary method to solve this question

It costs 4 tokens to park in a garage for 1 hour

Find how many hours can park in a garage for 1 token

If it costs 4 token to park in a garage for 1 hour

Then it will cost 1 token to park in a garage for 1/4 hour

Step2:

With 20 token we can park in a garage for (1/4) * 20

= 5 hours

So, we can park for 5 hours with 20 tokens.

Another method

If we take twenty tokens and divide them into groups of four, we will find that we are left with five groups of tokens. Each group of tokens represents an hour of parking time. This will give us five groups, or five hours, total.

So, we can park for 5 hours with 20 tokens
5 0
3 years ago
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3 years ago
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1,2,3,6 are congruent

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