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FrozenT [24]
3 years ago
13

Find the midpoint of a segment whose endpoints are (9, –7) and (–3, 5).

Mathematics
1 answer:
suter [353]3 years ago
7 0
For this question, you would have to use the midpoint formula. 
(X1 +X2 / 2 , Y1 + Y2 / 2)

In other words, 
(9 + -3 / 2 , -7 +5 / 2)
(6 / 2 , -2 / 2)
(3 , -1)

Your midpoint is (3, -1)
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The function f(x)=70n -400 models the profit of the instructor of a guitar class per month, where n is the number of students en
Ymorist [56]

Answer:

At least 6 students must be enrolled in the class for the instructor to make a profit.

At least 20 students must be enrolled in the class for the instructor to make $1,000 (or more) profit per month.

Step-by-step explanation:

The function f(x)=70n -400 models the profit of the instructor of a guitar class per month.

1. If the instructor makes a profit, then

f(x)>0\\ \\70n-400>0\\ \\7n-40>0\\ \\7n>40\\ \\n>\dfrac{40}{7}\\ \\n>5\dfrac{5}{7}

So, at least 6 students must be enrolled in the class for the instructor to make a profit.

2.  If the instructor needs to make 1,000.00 profit per month, then

f(x)\ge 1,000\\ \\70n-400\ge 1,000\\ \\7n-40\ge 100\\ \\7n\ge 140\\ \\n\ge \dfrac{140}{7}\\ \\n\ge 20

So, at least 20 students must be enrolled in the class for the instructor to make $1,000 (or more) profit per month.

5 0
4 years ago
A drawing of the Pittsburgh Airport uses a scale of 1 centimeter = 250 meters. Runway A is drawn 12 centimeters long. How many m
dalvyx [7]
To do this you need to multiply how many centimeters long the drawing is times the number of meters per centimeter used in the scaling.

12 x 250 = 3000
4 0
3 years ago
It is 2.1 km from Jessica's house to the nearest mailbox. How far is it in meters?
iogann1982 [59]

Answer:

2100 meters

Step-by-step explanation:

<u><em>REMEMBER: 1 km = 1000 m</em></u>

2.1 km x 1000= 2100 meters

hope this helps ;)

3 0
3 years ago
Weather records show that the probability of rainfall in Florida in June is 0.86. What is the probability that it rains there in
Lubov Fominskaja [6]
R - it is rain  (probablity: 0.86)
N - it is not rain (probablity: 1-0.86 = 0.14)
You've got these cases:

R R R R R R R R R N
R R R R R R R R N R
R R R R R R R N R R 
. . . 
N R R R R R R R R R     -  it is 10 cases.  Probablity each case is
(0.86)^9 * 0.14 - it is approximately  0.036   (9R and 1N - you multiply everything)

It is 10 cases so you have to multiply by 10  and you get 0.36

There is also eleventh case:

R R R R R R R R R R 

Probablity is (0.86)^10 approximately 0.22

Add these cases and you'll get your probablity:  0.36 + 0.22 = 0.58 
5 0
3 years ago
Read 2 more answers
Write the sentence as an equation.<br> The sum of 24 and x is - 20.
Firdavs [7]

Answer:

x+24 = -20

this is the equation form

5 0
3 years ago
Read 2 more answers
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