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Molodets [167]
3 years ago
8

If y varies directly with x, find the constant of variation with x = 4 and y = -24

Mathematics
2 answers:
olganol [36]3 years ago
6 0
Use the formula y=kx for this equation.
so considering that Y equals -24 then X and K must also equal that number
we already know that X is -4 but we dont know what K is.
so we divide -24 by -4 and get an answer of a positive 6 but the answer is not proven yet.
-4 times 6 is -24 meaning that the answer is 6
Ivahew [28]3 years ago
6 0

Answer:

The constant of variation is -6.

A is correct.

Step-by-step explanation:

If y varies directly with x

y\propto x

y is directly proportional to x.

Equation: y=kx

where, k is constant of proportionality or constant of variation.

At x=4 , y=-24

Substitute x and y into equation and solve for k

-24=4k

k=-6

Hence, The constant of variation is -6.

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Find the area of the semicircle. Round your answer to the nearest hundredth.
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1.27388535028

Step-by-step explanation:

Simply using the formulas

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A football team lost 9 yards on each of three consecutive plays. what was the teams total change in position for the three plays
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8 0
3 years ago
What would the constant rate of change be?
deff fn [24]

Answer:

- 8

Step-by-step explanation:

An equation in the form y = mx + c ( m is the slope and c is the y- intercept )

Has a constant rate of change = m

given

a_{n} = 12 + (n - 1)(- 8) ← distribute and simplify

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4 0
4 years ago
A multi level parking lot has 6 levels and there are total of 1,327 parking spots.
MrRissso [65]

Answer: (1) There are 233 parking spots on the top level

(2) There are 72 parking spots reserved for drivers with disabilities

(3) There are 970 spots for hourly parking

(4) He would spend $7200 for parking in a year

Step-by-step explanation: In the first instance, there is a total of 1327 parking spots altogether allocated into various categories.

(1) There are 6 levels in all, and the first level has 162 parking spots. herefore the remaining 5 levels would have 1165 parking spots left as shown below;

Remainder = 1327 - 162

Remainder = 1165

If however the remaining 1165 parking spots are distributed equally among the other 5 levels, then each level would have 233 parking spots each as shown below;

Five levels = 1165

Each level = 1165/5

Each level = 233

Therefore the top level has 233 parking spots

(2) On each level (out of all 6 levels), there are 12 spots reserved for drivers with disability. Therefore at all parking levels you would have 72 spots as shown;

Reserved spot per level = 12

Reserved spot for 6 levels = 12 * 6

Reserved spot for 6 levels = 72

Therefore there are 72 spots reserved for driver with disability

(3) Other than the spots reserved for drivers with disability (72), there are 285 parking spots for monthly rental. The rest are for hourly parking, and this is calculated as shown;

Hourly parking + monthly rental + reserved parking = 1327

Hourly parking + 285 + 72 = 1327

Hourly parking + 357 = 1327

Hourly parking = 1327 - 357

Hourly parking = 970

Therefore there are 970 spots available for hourly parking.

(4) If the daily parking rate is $30, and Jack parks his car for 5 days in a week, then he would spend

30 * 5 = 150

If he parks for 4 weeks in a month, then he would spend

150 * 4 = 600

Therefore to pay for parking in a year (12 months) he would spend

600 * 12 = 7200

Therefore he would spend $7,200 for parking in a year

4 0
3 years ago
Marking Brainliest for ORIGINAL answer..
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