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
Ber [7]
3 years ago
15

The scale for a map is 20 miles = 1/2 inch. The distance between two towns on the map is 3 3/4 inches. What is the actual distan

ce between these towns?
Mathematics
1 answer:
zubka84 [21]3 years ago
4 0

Answer:

150 miles

Step-by-step explanation:

If 1/2 of an inch is 20 miles, we can assume that 1/4 of an inch is 10 miles, since half of 1/2 is 1/4 and 1/2 of 20 is 10.

Equipped with this information, we can divide 3 by 1/2 or multiply 3 by the reciprical, 2/1 to get how much we should multiply 20 by.

3*2=6

20*6=120

Then we can multiply 10 by 3 and add that on our answer, since there are still 3/4s left and 1/4=10 miles.

10*3=30

120+30=150

The actual distance is 150 miles.

Hope this helps!

You might be interested in
What terms can be combined with 3a? Select all that apply.
antiseptic1488 [7]

Answer:

You can only add like terms with like terms, so the terms that can be combined with 3a are the terms that end in an a.

So, the answers are:

4a and 14a

Let me know if this helps!

6 0
3 years ago
Read 2 more answers
Multiples of 9 less than 80
german
Multiples of nine: 9<span>,18,27,36,45,54,63,and 72</span>
6 0
3 years ago
Use logarithms to solve each equation 2x9/8=111
Illusion [34]
<span>We have this equation:
</span>
2x^{\frac{9}{8}} = 111

and we need to find the value of x.

First of all, we multiply the whole equation for 1/2, so our goal is to isolate x, therefore:

x^{\frac{9}{8}}=\frac{111}{2}
 
Next step we must do is to apply <span>logarithms:
</span>
logx^{\frac{9}{8}} = log(\frac{111}{2})

Next, we have to apply identities and then to solve the equation:

\frac{9}{8}logx = log(\frac{111}{2})
logx =  \frac{8}{9}log(\frac{111}{2})
logx = 1.5504
10^{logx} =  10^{1.5504}

Finally, we have the value of x which was our goal. This is the answer for the question above:

x= 35.5140

7 0
3 years ago
A segment in the complex plane has a midpoint at 3 – 2i. If one endpoint of the segment is at 7 i, what is the other endpoint? –
Brut [27]

The midpoint of a segment divides the segment into equal halves

The other endpoint is 1- 5i

<h3>How to determine the missing endpoint </h3>

The coordinates are given as:

Point 1: 7 + i

Midpoint: 3 - 2i

Represent the other endpoint with x.

So, we have:

2 * Midpoint = Point 1 + x

This gives

2 * (3 - 2i) =7 + i + x

6 - 4i =7 + i + x

Collect like terms

x = 6 -7- 4i -i

Evaluate the like terms

x = 1- 5i

Hence, the other endpoint is 1- 5i

Read more about midpoints ta:

brainly.com/question/9635025

6 0
1 year ago
14. Team 8A is selling snacks at the football game to raise money for a field trip. They are selling popcorn for $2.50 and pretz
Mamont248 [21]

Answer:

  • 40 popcorns and 90 pretzels sold.

============

Let the number of popcorns is x and pretzels is y.

Set up equations:

  • x + y = 130
  • 2.5x + 2y = 280

Solve by elimination, multiply the first equation by 2 and subtract from the second equation:

  • 2.5x + 2y - 2x - 2y = 280 - 2*130
  • 0.5x = 280 - 260
  • 0.5x = 20
  • x = 20/0.5
  • x = 40

Find y:

  • 40 + y = 130
  • y = 130 - 40
  • y = 90

5 0
1 year ago
Read 2 more answers
Other questions:
  • The height of a projectile in feet at time t is determined by the equation h=-16t^2+128t+320. At what time will the projectile b
    12·2 answers
  • This is the first part of a three-part problem. express $18\sqrt 8$ in the form $a\sqrt b$, where $a$ and $b$ are integers and $
    12·2 answers
  • Which expression is equivalent to (3x + 6) + 4x?
    12·1 answer
  • Use the integers that are closest to the number in the middle.
    7·1 answer
  • A recipe requires 5 cups of corn starch. You can only measure using 2/5 cups. How many 2/5 cups are needed for this recipe? Leav
    11·1 answer
  • Which equation can be used to find the volume of the cylinder?
    11·2 answers
  • The question is 56x^2-80x-40
    5·1 answer
  • (334)÷(−212) dive it
    12·1 answer
  • Find the area of the parallelogram determined by the vectors i +j+k and –2i + 3j + K.​
    9·1 answer
  • 1. Which statements are true? An expression for "A diver swims at 14 feet below sea level and then descends another 14 feet" is
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!