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tresset_1 [31]
3 years ago
13

Francis teaches the piano. He charges each student an enrollment fee of $100 plus $15 per hour of piano lessons. The average cos

t of lessons for a student per hour is $25.
If h represents the number of hours a student spends in lessons, which equation can be used to find the value of h?
Mathematics
1 answer:
Kryger [21]3 years ago
7 0

Answer:

y=15x+100

Step-by-step explanation:

increases by 15, 100 is starting free

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The coordinates for three points of a rectangle are (2, 6) (2, 9) and (8, 6). What is the coordinate for the fourth point in the
saw5 [17]

Answer:

(8,9)

Step-by-step explanation:

Given

A = (2,6)

B = (2,9)

C = (8,6)

Required

Determine the 4th point

The coordinate point of a horizontal or a vertical rectangle is given as:

(x1,y1), (x2,y2), (x3,y3), (x4,y4)

Where:

x_1 = x_2        x_3 = x_4         y_1 = y_3        y_2 = y_4

So, we have:

A = (2,6) --- (x_1.y_1)

B = (2,9) ---- (x_2.y_2)

C = (8,6) ---- (x_3,y_3)

Using the above equations:

x_3 = x_4=8        

y_2 = y_4 = 9

Hence, the coordinate of the 4th point is:

(x_4,y_4) = (8,9)

4 0
3 years ago
A farmer has a square garden that has an area of 100 feet squared. He needs to
stellarik [79]

Answer:

40ft

Step-by-step explanation:

The shape of the garden (square) tells you that both the length and the width of the garden are the same measure.

If the area is 100sqft, you can determine that side * side = 100. To find this answer, you can take the square root of 100. side=10, because 10 * 10= 100 (the area).

Now, we know that each side measures 10 feet. Try drawing and labeling a picture to help you visualize the garden. Next, label each side of the square garden 10ft.  To find the feet of fencing is needed to enclose the garden,

We need to find the perimeter, so we can calculate

10ft * 4 sides = 40 feet of fencing.

5 0
3 years ago
2 cars are 700 miles apart. They travel toward each other. One of the cars travels at 75mph, the other travels at 100 mph. How l
olga2289 [7]

Answer: C 4

Step-by-step explanation:

Use the formula: distance = rate x time

We can say that train 1 travels a distance of x, and train 2 travels a distance of 700 - x

The rate of train 1 is 75 mph, and the rate of train 2 is 100 mph

The time traveled for the two trains will be the same. We can represent that with the variable t.

We have the following equation for train 1:

x = 75t

For train 2, we have this equation:

700 - x = 100t

Use the Substitution Method by replacing x in the equation for train 2 with the value 75t.

700 - 75t = 100t

700 = 175t

700/175 = 4 hours.

It will take 4 hours for the two trains to meet.

6 0
3 years ago
What is the minimum force required to prevent a ball weighing 22.6 lb from rolling down a ramp which is inclined at 39.0 with th
shusha [124]
22.6sin[39.0]= 21.78
3 0
3 years ago
Slope -3/2 passes through (-4,7)
Kryger [21]

Answer:

5/−1

Step-by-step explanation:

Slope =y2−y1x2−x1

7−2−4−−3

5/−1

8 0
3 years ago
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