1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Amanda [17]
3 years ago
10

A highway map of Ohio has a coordinate grid superimposed on top of the state. Springfield is at point (1, –4) and Columbus is at

point (7, 1). The Springfield youth soccer team is going to Columbus to see a professional soccer match. The map shows a highway rest area halfway between the cities. What are the coordinates of the rest area? What is the distance between Springfield and Columbus? (One unit = 5.38 miles)
Mathematics
1 answer:
aniked [119]3 years ago
8 0
Find the midpoint of (1,-4) and (7,1) to find the rest stop. To do this add the x values and divide by 2, then add the y values and divide by 2. (4,-1.5) is the midpoint.
To find the distance, use the distance formula then multiply the result by 5.38. The distance is 42 miles
You might be interested in
The volume of a bathtub is 32,400 in.³ If the width is 30 inches and the length is 60 inches what is the depth
marysya [2.9K]

Answer:

18 inches

Step-by-step explanation:

volume = lenght * width * depth

let the depth be x

32400=60*30*x

x=32400/(60*30)

x=32400/1800

x=18

3 0
3 years ago
Graph B
lara [203]

Answer/Step-by-step explanation:

Slope (m) = rise/run

y-intercept (b) = starting value or the point on the y-axis where the line cuts across

✔️Slope (m) of skater 1:

Rise = 45

Run = 7.5

Slope (m) = 45/7.5 = 6

✔️ y-intercept (b) of Skater 1:

b = 0 (the y-axis is intercepted at 0)

✔️Skater 1 linear function in slope-intercept form, y = mx + b

Substitute m = 6 and b = 0 into y = mx + b

Linear function: y = 6x + 0

y = 6x

✔️Slope (m) of skater 2:

Rise = 30

Run = 15

Slope (m) = 30/15 = 2

✔️ y-intercept (b) of Skater 2:

b = 0 (the y-axis is intercepted at 0)

✔️Skater 2 linear function in slope-intercept form, y = mx + b

Substitute m = 2 and b = 0 into y = mx + b

Linear function: y = 2x + 0

y = 2x

7 0
2 years ago
Jeff must do a book report. He reads 3 pages of his book in 13 minutes. He reads 9 pages of his book in 39 minutes. He reads 15
svlad2 [7]
Do you see a pattern in the given information?
 3 pages in 13 min
 9 pages in 39 min
15 pages in 65 min

the rate of pages per min is constant
3/13 = 9/39 = 15/65

the Question is asking for time.. So the we need the rate as min per page 13/3 so when multiplied by the number of pages it cancels to give minutes.

Units cancel out just like numbers do so you know that the problem is set up correctly.

(351 pages) * ( \frac{13min}{3pages})=1521 .minutes

7 0
3 years ago
How do I solve this question?
dusya [7]

So if the ratio is 3:1, that means for every 3/12 of the small triangle, there is 1/12 of the big one

the shaded area ratio is 1/12:1/4

8 0
3 years ago
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
3 years ago
Other questions:
  • Hi everyone I needs ton of help!
    12·2 answers
  • 4 divided by 2/5 is ______
    7·2 answers
  • What is 6-2p=p+9 ?Because I don't know it​
    14·1 answer
  • The chords intersect at point U. What is the value of y?
    10·2 answers
  • Help! I need new dish soap. Which
    15·1 answer
  • Can someone help me with this. Will Mark brainliest.
    9·1 answer
  • Please help me with this problem!!
    12·1 answer
  • “The probability that you are given a car for your birthday.”
    11·1 answer
  • Helppppppp PLEASE brainley said my awnser was too short so dont listen to this part:)
    6·2 answers
  • A number is x units to the right of 0 on a number line. What do you know about the opposite of the number?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!