Which of the following expressions represents "no more than 5"?

hail 0.5 inch deep and weighing 1800 pounds covers a roof. the hails weight varies directly with its depth. write an equation th

frozen [14]

In a directly proportional relationship, increasing one variable will increase another. The weight of the roof whose depth is 1.75 inches is 6,300 pounds.

<h3>What is the directly proportional relationship?</h3>

In a directly proportional relationship, increasing one variable will increase another. This directly proportional relationship between p and q is written as p∝q where that middle sign is the sign of proportionality.

Let there are two variables p and q. Then, p and q are said to be directly proportional to each other if p = kq, where k is some constant number called the constant of proportionality.

Given the hail's weight varies directly with its depth. Therefore, the relation can be written as,

Weight ∝ Depth

W∝D

Introducing the constant to remove the proportionality we will get the equation as,

W = kD

1800pounds = k × 0.5 inches

3600ponds/inches = k

Now, the weight of the roof whose depth is 1.75 inches can be written as,

W = kD

W = 3600 × 1.75

W = 6,300 pounds

Hence, the weight of the roof whose depth is 1.75 inches is 6,300 pounds.

Learn more about directly proportional relationship:

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8 0

2 years ago

Is this right I need help with this

Margarita [4]

Y axis is counting by 2's
it started at 2 and went up to 6
Y = 4

X axis is counting by 2'2
starts at one goes to 3
X = 2

Slope is 4/2 because rise over run
4/2 = 2
Slope is simplified to 2.

5 0

3 years ago

An airplane travels 6111 kilometers against the wind in 9 hours and 7911 kilometers with the wind in the same amount of time. Wh

natima [27]

Answer:

Speed of the plane in still air: $779\; {\rm km \cdot h^{-1}}$ .

Windspeed: $100\; {\rm km \cdot h^{-1}}$ .

Step-by-step explanation:

Assume that $x\; {\rm km \cdot h^{-1}}$ is the speed of the plane in still air, and that $y\; {\rm km \cdot h^{-1}}$ is the speed of the wind.

When the plane is travelling against wind, the ground speed of this plane (speed of the plane relative to the ground) would be $(x - y)\; {\rm km \cdot h^{-1}}$ .
When this plane is travelling in the same direction as the wind, the ground speed of this plane would be $(x + y)\; {\rm km \cdot h^{-1}}$ .

The question states that when going against the wind ( $v = (x - y)\; {\rm km \cdot h^{-1}}$ ,) the plane travels $6111\; {\rm km}$ in $9\; {\rm h}$ . Hence, $9\, (x - y) = 6111$ .

Similarly, since the plane travels $7911\; {\rm km}$ in $9\; {\rm h}$ when travelling in the same direction as the wind ( $v = (x + y)\; {\rm km \cdot h^{-1}}$ ,) $9\, (x + y) = 7911$ .

Add the two equations to eliminate $y$ . Subtract the second equation from the first to eliminate $x$ . Solve this system of equations for $x$ and $y$ : $x = 779$ and $y = 100$ .

Hence, the speed of this plane in still air would be $779\; {\rm km \cdot h^{-1}}$ , whereas the speed of the wind would be $100\; {\rm km \cdot h^{-1}}$ .

3 0

1 year ago

If f(x) = 3^x and g(x) = 3^(x+1)+6. Describe the transformations from f(x) to g(x).

OlgaM077 [116]

To move tot he right h units, subtract h from every x to move up k units, add k to the whole equaiton added 1 to every x (subtract -1) added6 to whole thing moved -1 to right (moved 1 to left) moved up 6 units answer is A

5 0

3 years ago

A car costs 20% less this year than last year. Last year, the car cost 5% less than the year before. The price of the car this y

Tems11 [23]

Answer:

The answer is 11,374

Step-by-step explanation:

First we find 5% of 9,400 is.

9,400 * 5% = 470

Next we add 9,400 with 470 then multiply by 20%

9,400 + 470 = 9,870

9,870 * 20% = 1974

Next we add.

9,870 + 1,974 = 11,374

So, the answer is 11,374

Hope this helps! :)

3 0

3 years ago