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Harlamova29_29 [7]
2 years ago
7

If y varies directly as x and y = 8 when x = 4, what is the value of y when x = 16? a. 32 b. 16 c. 64 d. 28

Mathematics
1 answer:
ddd [48]2 years ago
5 0

By finding the proportional relation between x and y, we will see that when x = 16, we have y = 32.

<h3>How to get the value of y when x = 16?</h3>

If y varies directly with x, then we can write the relation as:

y = k*x

Where k is the constant of proportionality.

First, we know that when x = 4, we have y = 8, replacing that we get:

8 = k*4

Solving for k, we get:

k = 8/4 = 2.

Then the relation between x and y is:

y = 2*x

When x = 16, we have:

y = 2*16 = 32

Then the correct option is a.

If you want to learn more about proportional relations:

brainly.com/question/12242745

#SPJ1

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Alvin takes a sheet of paper and makes a diagonal cut from one corner to the opposite corner, making two triangles. The cut he m
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the paper length is 30 inches

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Margo is planning a vacation. Assume that they have 2 possible destinations: beach or mountains. There are 2 vacation areas in t
ra1l [238]

Answer:

There are 14 outcomes in the sample space.

x= { x/x ∈ b, where b≠0 }

Step-by-step explanation:

The tree diagram is as follows

                                                                                                   Sample Space

Margo→→→→Beach (b)→→→→→→→1 destination→→→→→→→5 condos              5

     ║                   ║→→→→→→→→→→2 destination→→→→→→→→→4 condos       4

     ║

     ║

     ║→→→→→Mountain (m) →→→→→→→→1 destination→→→→→→ 1condo         1

                                    ║→→→→→→→→→→2 destination→→→→→ 1condo         1

                                     ║→→→→→→→→→→ 3destination→→→→→ 3 condos     3

Part a:

There are 14 outcomes in the sample space .

5+4+1+1+3= 14

Part b:

Margo picks a beach destination in set notation is

x= { x/x ∈ b, where b≠0 }

x such that x belongs to b ( beach destination) and b is not equal to zero.

6 0
3 years ago
Daniel is interested in buying a new iPhone. The cost of the iPhone is $979. He also wants to protect it with an Otterbox Case.
Shkiper50 [21]

Answer:1006

Step-by-step explanation:89.99-62.99=27 979+27=1006

3 0
3 years ago
A door 2m*1m is fixed on a wall.The wall is 8.5 long and 2m high.Find the cost of whitewashing the wall ₹40 per square meter​
il63 [147K]

Answer: The cost is $600

Step-by-step explanation: The wall is a rectangle whose area is calculated as:

S = 8.5 x 2

S = 17

However, there is a door on the wall which won't be whitewashed so:

Area of door:

S_{d} = 2 x 1

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Whitewashed area will be

S - S_{d} = 17 - 2

S - S_{d} = 15m²

To whitewash the wall, it costs $40 per each m², so:

Cost = 15*40

Cost = 600

To whitewash the wall, it will cost $600.

5 0
3 years ago
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