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Afina-wow [57]
2 years ago
5

Stefan's family rented a rototiller to prepare an area in their backyard for spring planting. The rental company charged an init

ial fee of $43 with an additional fee per hour. If they paid $64 after renting the rototiller for 7 hours, what was the hourly fee? If h represents the hourly fee, which equation models this problem? What was the hourly fee for the rototiller?
Mathematics
2 answers:
BaLLatris [955]2 years ago
8 0

Answer: the hourly fee for the rototiller is $3

Step-by-step explanation:

Let h represent the hourly fee for renting the rototiller.

The rental company charged an initial fee of $43 with an additional fee per hour. Assuming that they rented the rototiller for x hours. This means that if they rented the rototiller for x hours, the total amount that they would pay is

43 + hx

If they paid $64 after renting the rototiller for 7 hours, the equation that models this problem would be

43 + 7h = 64

7h = 64 - 43 = 21

h = 21/7 = $3

Serjik [45]2 years ago
4 0

Answer:

$3 per hour, 64 = 7h + 43

Step-by-step explanation:

First, subtract 43 from 64 to find how much the 7 hours on the rototiller actually costed them, which would be 21. Next, divide 21 by 7 to find the hourly fee, which would be 3. If h represented the hourly fee, the equation for this would be 64 = 7h + 43 meaning 64 (the total cost) is equal to 7 times the hourly fee (7 because she rented it for 7 hours) plus 43 (the initial fee).

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The perimeter without the diagonal is 4*120 = 480
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2 years ago
A video game randomly chooses your car color and type. The probability of getting a red car is 0.20, and the probability of gett
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Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Event A: You get a red car

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Event B: You get a convertible

and

P(B)=0.40

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7 0
2 years ago
There are four defenders on a soccer team. if this represents 20 percent of the players on the team, which equation can be used
Amiraneli [1.4K]

Given

There are four defenders on a soccer team

if this represents 20 percent of the players on the team

Find out the total number of players on the team.

To proof

As given in question

four defenders on a soccer team

this represents 20 percent of the players on the team

let the total number of players = x

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\frac{20}{100} =0.20

Than the equation becomes

0.20x =4

x = \frac{4}{0.20}

now solving the above equation

we get

x = 20

thus the total number of players on the team are 20.

Hence proved

                               



8 0
2 years ago
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A submarine was 144 feet below sea level. A shark was hovering at a constant depth above the submarine. The submarine’s depth wa
Lelu [443]

Answer:

-72 feet : Shark is 72 feet below sea level.

Step-by-step explanation:

Let x represent depth of the shark.

We have been given that the submarine’s depth was twice the depth of the shark. This means that depth of submarine would be 2x.

We have been given that a submarine was 144 feet below sea level, so submarine's elevation would be -144\text{ ft}.We can represent this information in an equation as:

2x=-144

To find shark's position, we need to solve for x.

\frac{2x}{2}=\frac{-144}{2}

x=-72

Therefore, -72 feet represents shark's elevation, which represents that shark is 72 feet below sea level.

3 0
2 years ago
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The length of the shadow of a pole on level ground increases by 90m when the angle of elevation of the sun changes from 58° to 3
viva [34]

Answer:

119.45 m

Step-by-step explanation:

Given:

When angle of elevation of the sun changes from 58° to 36° the length of shadow of a pole increases by 90 m.

To find:

Length of pole = ?

Solution:

Kindly refer to the attached image.

\triangle ABC represents the 1st angle of elevation of sun i.e.  58°

\triangle ABD represents the 2nd angle of elevation of sun i.e.  36°

Change in shadow is represented by CD = 90 m

Let height of pole, AB = h m

Let side BC = x m

Now, let us apply tangent rules in \triangle ABC, \triangle ABD one by one:

tan\theta = \dfrac{Perpendicular}{Base}\\\Rightarrow tan58^\circ=\dfrac{AB}{BC}\\\Rightarrow tan58^\circ=\dfrac{h}{x}\\\Rightarrow x = 0.624h ..... (1)

tan36^\circ = \dfrac{h}{x+90}

Putting value of x using equation (1):

tan36^\circ = \dfrac{h}{0.624h+90}\\\Rightarrow 0.726\times 0.624h+0.726\times 90 = h\\\Rightarrow h-0.453h =65.34\\\Rightarrow \bold{h = 119.45\ m}

119.45 m is the height of pole.

7 0
2 years ago
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