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Serga [27]
3 years ago
5

The depth of a lake, d, varies directly with r, the amount of rainfall last month. if k is the constant of variation, write an e

quation to represent the situation.
Mathematics
1 answer:
irina1246 [14]3 years ago
4 0
Answer:
d = kr

Explanation:
We know that the depth (d) varies directly with the amount of rain (r).
This means that as the amount of rain increases, the depth increases and vice-versa.
The depth would depend on r multiplied by a constant of variation (k)

Translating this into equation, we would get the following:
d = kr

Hope this helps :)
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ad-work [718]
A) 2x +3

Plug in the x

2(4.1) + 3

8.2+ 3= 11.2

A is 11.2


B) 16-5y

Plug in the y

16 - 5(2.3)

16- 11.5= 4.5

B is 4.5


C) x+y

Plug in x and y

4.1 + 2.3= 6.4

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7 0
3 years ago
Volunteers helped clean up 8.2 kg of trash in one neighborhood and 11 1/2 kg in another. They sent 1 1/4 kg to be recycled and t
Ivan

Answer: 18.45\ kg or 18\frac{9}{20}\ kg

Step-by-step explanation:

We can convert from mixed numbers to decimal numbers:

11\frac{1}{2}\ kg=(11+0.5)\ kg=11.5\ kg\\\\1\frac{1}{4}\ kg=(1+0.25)\ kg=1.25\ kg

Since they cleaned up 8.2 kilograms of trash in one neighborhood and 11.5 kilograms in another neighborhood, the total trash they cleaned up was:

Total=8.2\ kg+11.5\ kg\\\\Total=19.7\ kg

We know that they sent 1.25 kilograms to be recycled. Then, in order to calculate how many kilograms of trash they threw away, we must subtract the total kilograms of trash they cleaned up and the kilograms they sent to be recycled.

Then:

19.7\ kg-1.25\ kg=18.45\ kg or 18\frac{9}{20}\ kg

8 0
4 years ago
Read 2 more answers
Evaluate 23x-1 for x = 1. 1 4 7 8
lianna [129]

replace the value of x int eh equation

 so 23x-1 becomes

23(1.1478)-1

23*1.1478 = 26.3994-1 = 25.3994

5 0
3 years ago
Read 2 more answers
Does anyone know the answer to this ?
melamori03 [73]

Answer:

1595 ft^2

Step-by-step explanation:

The answer is obtained by adding the areas of sectors of several circles.

1. Think of the rope being vertical going up from the corner where it is tied. It goes up along the 10-ft side. Now think of the length of the rope being a radius of a circle, rotate it counterclockwise until it is horizontal and is on top of the bottom 20-ft side. That area is 3/4 of a circle of radius 24.5 ft.

2. With the rope in this position, along the bottom 20-ft side, 4.5 ft of the rope stick out the right side of the barn. That amount if rope allows for a 1/4 circle of 4.5-ft radius on the right side of the barn.

3. With the rope in the position of 1. above, vertical and along the 10-ft left side, 14.5 ft of rope extend past the barn's 10-ft left wall. That extra 14.5 ft of rope are now the radius of a 1/4 circle along the upper 20-ft wall.

The area is the sum of the areas described above in numbers 1., 2., and 3.

total area = area 1 + area 2 + area 3

area of circle = (pi)r^2

total area = 3/4 * (pi)(24.5 ft)^2 + 1/4 * (pi)(4.5 ft)^2 + 1/4 * (pi)(14.5 ft)^2

total area = 1414.31 ft^2 + 15.90 ft^2 + 165.13 ft^2

total area = 1595.34 ft^2

6 0
3 years ago
Which of the following statements uses the multiplicative identity?
Alex73 [517]
Times table

or

division
8 0
3 years ago
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