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Ne4ueva [31]
3 years ago
8

In a direct variation, y = 18 when x = 6. Write a direct variation equation that

Mathematics
1 answer:
inysia [295]3 years ago
8 0

Step-by-step explanation:

y =kx(where k is constant)

18 = 6k

divide both side by 6

k = 6

The relationship between x and y

y = kx

y =3x

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Robin can clean 72 rooms in 6 days how many rooms can robin clean in 9 days
galben [10]

Hello!

Robin can clean 72 rooms in 6 days. How many rooms can Robin clean in 9 days?

We have a proportional magnitude (directly proportional), if we increase the number of days for cleaning, obviously we will have more rooms cleaned, then:

clean rooms __________ days

72 ----------------------------------- 6

y ------------------------------------- 9

\dfrac{72}{y} = \dfrac{6}{9}

multiply the means by the extremes

6*y = 72*9

6\:y = 648

y = \dfrac{648}{6}

\boxed{\boxed{y = 108}}\Longleftarrow(clean\:rooms)\end{array}}\qquad\checkmark

Answer:  

108 clean rooms in 9 days  

________________________

I Hope this helps, greetings ... Dexteright02! =)

6 0
3 years ago
Y is inversely proportional to x, when Y = 2, x = 4.
irina [24]

Answer:

Constant of proportionality is y divided by x.  y is 2 and x is 4.  2 divided by 4 is 1/2.

Let me know if that is correct.

Step-by-step explanation:

6 0
3 years ago
Luiza is jumping on a trampoline.
lyudmila [28]

Answer:

The second time when Luiza reaches a height of 1.2 m = 2 08 s

Step-by-step explanation:

Complete Question

Luiza is jumping on a trampoline. Ht models her distance above the ground (in m) t seconds after she starts jumping. Here, the angle is entered in radians.

H(t) = -0.6 cos (2pi/2.5)t + 1.5.

What is the second time when Luiza reaches a height of 1.2 m? Round your final answer to the nearest hundredth of a second.

Solution

Luiza is jumping on trampolines and her height above the levelled ground at any time, t, is given as

H(t) = -0.6cos⁡(2π/2.5)t + 1.5

What is t when H = 1.2 m

1.2 = -0.6cos⁡(2π/2.5)t + 1.5

0.6cos⁡(2π/2.5)t = 1.2 - 1.5 = -0.3

Cos (2π/2.5)t = (0.3/0.6) = 0.5

Note that in radians,

Cos (π/3) = 0.5

This is the first time, the second time that cos θ = 0.5 is in the fourth quadrant,

Cos (5π/3) = 0.5

So,

Cos (2π/2.5)t = Cos (5π/3)

(2π/2.5)t = (5π/3)

(2/2.5) × t = (5/3)

t = (5/3) × (2.5/2) = 2.0833333 = 2.08 s to the neareast hundredth of a second.

Hope this Helps!!!

4 0
2 years ago
(
larisa [96]
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3 0
3 years ago
If the first chapter of a certain book is 28 pages long and makes up 4% of the book, how many pages does the entire book have?
Schach [20]

Answer:

700 pages

Step-by-step explanation:

I first found out how many pages were in 1% so I divided 28 by 4.  

I got 7 so I multiplied it by 100 and 700 was the answer.

Basically:

28÷4 = 7

7 x 100 = 700

I hope that kinda made sense!

8 0
3 years ago
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