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2 years ago

Y is inversely proportional to V1+x. When x = 8, y = 2. Find y when x = 15.

Mathematics

1 answer:

murzikaleks [220]2 years ago

6 0

Answer:

y = 1.5

Step-by-step explanation:

Given x is inversely proportional to $\sqrt{1+x}$ , then the equation relating them is

y = $\frac{k}{\sqrt{1+x} }$ ← k is the constant of proportion

To find k use the condition when x = 8, y = 2

2 = $\frac{k}{\sqrt{1+8} }$ = $\frac{k}{\sqrt{9} }$ = $\frac{k}{3}$ ( multiply both sides by 3 )

6 = k

y = $\frac{6}{\sqrt{1+x} }$ ← equation of proportion

When x = 15 , then

y = $\frac{6}{\sqrt{1+15} }$ = $\frac{6}{\sqrt{16} }$ = $\frac{6}{4}$ = $\frac{3}{2}$ = 1.5

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Ann and betty shared a sum of money in the ratio 2 : 3. ann received $120. what was betty's share?

WINSTONCH [101]

Answer:

Betty got $180

Step-by-step explanation:

If its 2:3 and 2 is 120, that means 120/2 equals 60. 60*3=180

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3 years ago

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1. What is the constant of proportionality, k, of Kevin's wage? Greg's? Savannah's?

Gala2k [10]

Answer:

Part a) The constant of proportionality of Kevin's wage is $k=\$8.25\ per\ hour$

Part b) The constant of proportionality of Greg's wage is $k=\$9.00\ per\ hour$

Part c) The constant of proportionality of Savannah's wage is $k=\$9.50\ per\ hour$

Step-by-step explanation:

See the attached figure to better understand the problem

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

To find out the constant of proportionality k , divide the variable y (total earned) by the variable x (number of hours)

Kevin's wage

Take any point from the table

I take the point (2,16.50)

$k=\frac{16.50}{2}=\$8.25\ per\ hour$

Greg's wage

Take any point from the table

I take the point (3,27.00)

$k=\frac{27.00}{3}=\$9.00\ per\ hour$

Savannah's wage

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I take the point (2,19.00)

$k=\frac{19.00}{2}=\$9.50\ per\ hour$

3 0

3 years ago

Please! I need help!

topjm [15]

Answer:

2^1×2^3

2^8×2^−5

2^1×2^2

Step-by-step explanation:

7 0

3 years ago

Given the points A(-10, -4) and B(14, 4), find the coordinates of the point P on the directed line segment AB that partitions AB

anastassius [24]

Answer:

P(5, 1)

Step-by-step explanation:

Segment AB is to be partitioned in a ratio of 5:3. That means the ratio of the lengths of AP to PB is 5:3. We need to find the ratio of the lengths of AP to AB.

AP/PB = 5/3

By algebra:

PB/AP = 3/5

By a rule of proportions:

(PB + AP)/AP = (3 + 5)/5

PB + AP = AP + PB = AB

AB/AP = 8/5

AP/AB = 5/8

The first part of the segment is 5/8 of the length of the segment, and the second part of the segment has length of 3/8 of the length of segment AB.

Point P is located 5/8 of the distance from point A to point B. The x-coordinate of point P is 5/8 of the difference in x-coordinates added to the x-coordinate of point A. The y-coordinate of point P is 5/8 of the difference in y-coordinates added to the y-coordinate of point A.

x-coordinate:

difference in coordinates: |14 - (-10)| = |14 + 10| = 24

5/8 of 24 = 5/8 * 24 = 15

Add 15 to the x-coordinate of point A: -10 + 15 = 5

x-coordinate of point P: 5

y-coordinate:

difference in coordinates: |4 - (-4)| = |4 + 4| = 8

5/8 of 8 = 5/8 * 8 = 5

Add 5 to the y-coordinate of point A: -4 + 5 = 1

y-coordinate of point P: 1

Answer: P(5, 1)

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3 years ago

3. Jackie played the drums in the band. If he beat the drum at a rate of

sukhopar [10]

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3 years ago

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