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Naya [18.7K]
3 years ago
8

A construction company charges $15 per hour for debris removal, plus one time fee for the use of the trash computer. The total f

ee for 9 hours of service was $195. Write and solve a linear equation to find the one-time fee for the trash dumpster.
Mathematics
1 answer:
Svetach [21]3 years ago
4 0

Let h be the numbers of hours, f be the one-time fee and c the cost charged. The equation is

c=15h+f

Since you pay $15 per four, plus the fee. We can solve this equation for the fee:

f=c-15h

If we plug c=195 and h=9, we have

f=195-15\cdot 9=195-135=60

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A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along
mina [271]

Answer:

The tip of the man shadow moves at the rate of \frac{20}{3} ft.sec

Step-by-step explanation:

Let's draw a figure that describes the given situation.

Let "x" be the distance between the man and the pole and "y" be distance between the pole and man's shadows tip point.

Here it forms two similar triangles.

Let's find the distance "y" using proportion.

From the figure, we can form a proportion.

\frac{y - x}{y} = \frac{6}{15}

Cross multiplying, we get

15(y -x) = 6y

15y - 15x = 6y

15y - 6y = 15x

9y = 15x

y = \frac{15x}{9\\} y = \frac{5x}{3}

We need to find rate of change of the shadow. So we need to differentiate y with respect to the time (t).

\frac{dy}{t} = \frac{5}{3} \frac{dx}{dt} ----(1)

We are given \frac{dx}{dt} = 4 ft/sec. Plug in the equation (1), we get

\frac{dy}{dt} = \frac{5}{3} *4 ft/sect\\= \frac{20}{3} ft/sec

Here the distance between the man and the pole 45 ft does not need because we asked to find the how fast the shadow of the man moves.

7 0
3 years ago
Can someone please help me with this question??
steposvetlana [31]

Answer:

450

Step-by-step explanation:

3*150 because the 150is your main number or otherwise known as "b" and then 3 is the multiplier so 3 * 150

6 0
3 years ago
Solve for each equation a)3(x-5)=6 b) 2(x-2/3)=0 c. 4x-5=2-x
Dovator [93]

Answer:

A= 7   B= 0.6  C= 1.4

Step-by-step explanation:

go to m a t h w a y . c o m

8 0
4 years ago
Read 2 more answers
How can 26n-7m+4(10n-6m)
Olenka [21]

Answer:

66n-31m

Step-by-step explanation:

26n-7m+4(10n-6m)

26n-7m+40n-24m

66n-31m

3 0
2 years ago
The function f(x) = x is translated such that the function describing the translated graph is g(x) = (x + 5)' + 2. Where
Tresset [83]

Answer:

  (-5, 2)

Step-by-step explanation:

  g(x) = f(x -h) +k

is a translation of f(x) h units to the right and k units upward. Here, we seem to have h=-5 and k=2. That means the point (0, 0) has been translated 5 units to the left (to -5) and 2 units upward (to 2).

The translated location of (0, 0) is (-5, 2).

_____

We assume we're to ignore the apostrophe (') in the equation for g(x).

8 0
3 years ago
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