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Naddik [55]
2 years ago
10

Find the constant of proportionality k in the equation y = 24x

Mathematics
1 answer:
Alekssandra [29.7K]2 years ago
6 0

Answer:

The value of k is 24

Step-by-step explanation:

y = 24x

The equation for a direct variation is

y = kx

The constant of proportionality is k

y = 24x

The value of k is 24

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0.36(18)+0.04x=0.12(24+x)
zhuklara [117]

Answer:

x = 45

Step-by-step explanation:

0.36(18) + 0.04x = 0.12(24 + x)

6.48 + 0.04x = 2.88 + 0.12x

0.04x - 0.12x = 2.88 - 6.48

-0.08x = -3.6

0.08x = 3.6

x = 3.6/0.08

x = 45

3 0
2 years ago
Read 2 more answers
A group of workers is harvesting berries at a constant rate. An equation that represents the number of baskets of berries the wo
tiny-mole [99]

Question: (a) What are the slope and the y-intercept for the equation that represents the number of baskets of berries the workers picked over a period of time?

Answer:

Given equation is y = 6x + 8.

Where y represents the number of baskets of berries the workers picked over a period of time x in hours.

Compare with slope intercept form y=mx+b, we get m=6 and b=8

Hence slope is 6 and y-intercept is 8.

-----------


Question: (b) What are the rate of change and the initial amount? Explain the meaning of the rate of change and the initial amount for the situation.

Answer:

Rate of change means slope so answer is 6.

Initial amount means y-intercept so that is 8.

rate of change of 6 means six baskets of berries are picked by workers in 1 hour.

Initial amount of 8 means there was 8 baskets of berries already filled in the beginning.


-----------




Question: (c) Use graph paper to draw a graph representing the situation. Label the axes appropriately.

Answer:

first we graph y-intercept that is at point (0,8)

slope = 6 means make another point which is 6 unit up then 1 unit right from (0,8) so the new point is at (1,14)

Hence final graph is the line joining both points.


3 0
3 years ago
Solve 3a + 2a = 10<br><br> How to work this out?
denis-greek [22]

Answer:

the answer is that a=2

Step-by-step explanation:

4 0
1 year ago
Read 2 more answers
Joe drove 538 miles in 9 hours 15 minutes what was his average speed per hour
DanielleElmas [232]
To calculate any speed, the equation is speed=distance/time
Basically, you first need to take your 9 hours and 15 minutes and combine them into a number with a decimal value.
So, 15*4=60
Sound familiar? Good, because 25*4=100, so they are the same here.
So, we can say 9 hours and 15 minutes is equal to 9.25
Take this now: Speed=538/9.25
You get 58.1621, which you can round to 58.2
This is, of course, your final answer, so Joe drove at 58.16 mph
7 0
3 years ago
What are equivalent yo 8.1
maksim [4K]

Answer:

The absolute value is 8.1 is = to -8.1

Step-by-step explanation:

That's the weirdest version of a question I've seen since the big brain beginner plays of among us.

6 0
2 years ago
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