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2 years ago

If yy varies jointly with xx and zz, what is the constant of proportionality when y=30y=30, x=4x=4, and z=5z=5?

1 answer:

5 0

Given that y varies jointly with x and z, then
y=kxz
where
k is the constant of proportionality given by:
k=y/(xz)
since
y=30 when x=4 and z=5
then
k=30(4*5)
k=1.5
thus the formula will be:
y=1.5xz
Thus the constant of proportionality is k=1.5

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when a plane flies with the wind, it can travel 1980 miles in 4.5 hours. when the plane flies in the opposite direction, against

Romashka-Z-Leto [24]

Velocity with wind = 1,980 / 4.5 = 440 mph
Velocity against wind =1,980 / 5.5 = 360 mph
Plane in still air - wind speed = 360
Plane in still air + wind speed =440
Adding both equations:
2*Plane in still air = 800
Plane in still air = 400 mph
Plane in still air + wind speed =440
Therefore, wind speed = 40 mph

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2 years ago

Martin's car had 86,456 miles on it. Of that distance, Martin's wife drove 24,901 miles,

navik [9.2K]

Answer:

Martin drove 53,558 miles.

Step-by-step explanation:

If you add up the amount of miles his son and wife drove, you get 32,898. To get the answer, you would subtract that from the total number of miles to get 53,558.

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2 years ago

Gus has a fish tank that holds 471047104710 inches^3 3 cubed of water. He is using a cylinder shaped bucket with a radius of 555

ozzi

Answer:

Gus will need to fill up the cylindrical bucket three times to be able to use it to fill up the tank

Step-by-step explanation:

Extracting the key information from the question:-

*** A fish tank has a capacity or volume of 4710 inches^3

*** The owner of the tank uses a cylindrical shaped bucket to fill the tank

*** The radius of the bucket being used to fill the tank is 5 inches and its height is 20 inches

*** We are only required to calculate how many times Gus will need to fill the bucket in order to completely fill the fish tank.

Since the container that the owner of the fish tank is using to fill the fish tank is cylindrical, we will need the formula for calculating the volume of a cylinder in order to determine the volume of this bucket that is being used to fill the fish tank.

Volume of a cylinder = π × r^2 × h. From the question, we were informed that the radius of the cylindrical bucket is 5 inches and the height of this bucket is 20 inches.

The volume of the bucket is = 3.14 × 5^2 × 20 = 1570 inches^3

Again, we were told that the fish tank that Gus was using cylindrical bucket to fill up has a volume of 4710 inches^3. In order to determine the number of filled buckets that will be able to fill the fish tank, we will then divide the volume of the tank by the volume of the cylindrical bucket:

4710/1570 = 3 full buckets.

Therefore, Gus will need to fill the bucket three times in order to be able to fill up the fish tank.

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2 years ago

The flower shop has 40 times as many flowers in one cooler as Julia has in her bouquet. The cooler has 120 flowers. How many flo

kiruha [24]

The answer is 4,800 if u multiply 120x40

8 0

2 years ago

Read 2 more answers

Manuel thinks the tens digit goes up by 1 in these numbers. Do you agree? Explain. 460,470,480, 490,500,510

laila [671]

Answer:

Manuel is correct, since adding 10 is the same as the tens digit going up by 1.

Step-by-step explanation:

It is important to know the concepts of units, tenths and cents.

For example

1 = 1 unit

10 = 1*10 + 0 = The tens digit is one the unit digit is 0

21 = 2*10 + 1 = The tens digit is two and the unit digit is 1.

120 = 1*100 + 2*10 + 0 = The cents digit is 1, the tens digit is two and the unit digit is 0.

Adding 1 is the same as the unit digit going up by 1.

Adding 10 is the same as the tens digit going up by 1.

Adding 100 is the same as the cents digit going up by 1.

In this problem, we have that:

460,470,480, 490,500,510

Each number is 10 added to the previous, that is, the tens digit going up by 1.

Manuel thinks the tens digit goes up by 1 in these numbers. Do you agree?

Manuel is correct, since adding 10 is the same as the tens digit going up by 1.

7 0

2 years ago