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
kolezko [41]
3 years ago
12

If the map is 3 quarter inches represents one half mile, what is the unit rate inches per mile?

Mathematics
1 answer:
blondinia [14]3 years ago
6 0

Answer:

Thus, 3/2 in, or 1.5 in, represents 1 mile.

Step-by-step explanation:

"3 quarter inches to the half mile" can be expressed as "3/4 inch to 1/2 mile."

Write and solve an equation of ratios to obtain the unit rate in inches/mi:

3/4 in          x

---------- = ---------

1/2 mi         1 mi

Cross multiplying, we get 3/4 in-mi = (1/2) mi*x.

Solve this for x by mult. both sides by 2:

6/4 in-mi = x mi

and then dividing both sides by mi:

(6/4) in-mi

--------------- = 3/2 in

       mi

Thus, 3/2 in, or 1.5 in, represents 1 mile.

You might be interested in
AB = x + 15 DC = 4x AD = x + 10 BC = ? Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Show
dexar [7]

Answer:

BC=15\ units

Step-by-step explanation:

we know that

In a parallelogram opposite sides are congruent

In this problem

we have that

AB and DC are opposite sides

AD and BC are opposite sides

so

AB=DC

AD=BC

step 1

Find the value of x

AB=DC

substitute the given values

x+15=4x

solve for x

4x-x=15

3x=15

x=5\ units

step 2

Find the length of AD

we have that

AD=x+10

substitute the value of x

AD=5+10=15\ units

step 3

Find the length of BC

Remember that

AD=BC ----> by opposite sides

therefore

BC=15\ units

6 0
3 years ago
The function shown below was created to track the different intervals of speed that an automobile travels over a period of 28 se
Ksenya-84 [330]

Answer:

1. The car is slowing down at a rate of 2.5mph/s

2. The greatest acceleration is 10 mph/s.

3. In the interval 4s to 16s the speed remains constant and has magnitude 25 mph.

Step-by-step explanation:

1. The deceleration of the car is from 16 seconds to 24 seconds is the slope m of the graph from 16 to 24:

m=\dfrac{\Delta speed }{\Delta time } = \dfrac{5-25}{24-16} =-2.5mph/s

the negative sign indicates that it is deceleration.

2. The automobile experiences the greatest change in speed when the slope is greatest because that is when acceleration/deceleration is greatest.

From the graph we see that the greatest slope of the graph is between 28 and 24 seconds. The acceleration the interval is the slope m:

m= \dfrac{45-5}{28-24}= 10mph/s

3. The automobile experiences no acceleration in the interval 4 s to 16 s—that's the graph is flat.

The speed of the automobile in that interval, as we see from the graph, is 25 mph.

7 0
3 years ago
Read 2 more answers
Part D
In-s [12.5K]

Answer:

0.222

Step-by-step explanation:

8 0
2 years ago
What is 6x +7=8x -15 solved.
skelet666 [1.2K]

Answer:

11

Step-by-step explanation:

6x+7=8x-15

7=2x+15

22=2x

11=x

6 0
3 years ago
Read 2 more answers
HELP ME PLS!! GET YOUR POINTS!!
andre [41]
The answer is b, c, and d
3 0
3 years ago
Other questions:
  • plant A is 18 inches tall after one week 36 inches tall after two weeks 56 inches tall after three weeks plant B is 18 inches ta
    15·1 answer
  • I am in some serious need of help <br><br> If P(a)=1/3, P(b)=2/5, and P(AuB)=3/5 what is P=(AnB)?
    8·2 answers
  • For the sequence -27, -12, 3, 18, ..., the expression that defines the nth term where a1 = -27 is
    11·2 answers
  • The equation for the circle below is x2 + y2 = 25. What is the length of the circle's radius?
    6·2 answers
  • Which term describes the solution to a multiplication problem? The describes the solution to a multiplication problem.
    8·1 answer
  • Find the Median of <br> 140, 150, 160, 170 <br> Help?
    14·2 answers
  • PLEASE HELP ILL MARK BRAINLIEST<br> PUT THEM IN ORDER BY VALUE NOT BY NUMBER<br> BIDEN 2020
    13·1 answer
  • In parallelogram HJKL if m∡HJK=110∘ find m∡JKL.
    5·1 answer
  • Is this relation a function?
    14·2 answers
  • The rates of change, true or false​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!