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
Scilla [17]
2 years ago
15

Theresa has two brothers, Paul and Steve, who are both the same height. Paul says he is

Mathematics
1 answer:
Schach [20]2 years ago
8 0

Answer:

From given, we have,

Paul says he is 16 inches shorter than 1 1/2 times Theresa's height.  

Steve says he's 6 inches shorter than 1 1/3 times Theresa's height.

Let the height of Theresa be "x" inches.

So, we get,

For Paul, 1 1/2 x - 16 = T

⇒ 3/2 x - 16 = T ......(1)

For Steve, 1 1/3 x - 6 = T

⇒ 4/3 x - 6 = T .........(2)

equating  equations (1) and (2), we get,

3/2 x - 16 =  4/3 x - 6

6 - 16 = 4/3 x - 3/2 x

-10 = (8 - 9)/6 x

-60 = -x

x = 60 inches.

Therefore, Theresa is 60 inches tall.

You might be interested in
Alisha is drawing a map of her school. She is not able to draw the map to scale because it would be too large. Each centimeter o
arsen [322]

Here we want to see which one of the given graphs is the one with the correct relationship between distance in centimeters and meters. We will see that the correct option is the first graph.

<h3>Working with changes of scale.</h3>

So we know that each centimeter on the map must represent 4 meters in reality, this is a change of scale, so the scale is:

1cm = 4m

First, this relation is linear (each centimeter will always be equal to 4 meters) so the two bottom options that are not linear can be discarded, so we only have the first and second graph.

If you read them, you can see that in the second one 1 meter is equivalent to something near 5 cm, so this is also incorrect.

The only graph that shows a correct scale is the first one, where for each increment of 1 unit on the horizontal axis (the one in centimeters) we have an increase of 4 m (estimated). This means that 1cm = 4m, as in our change of scale.

So the correct option is the first graph.

If you want to learn more about changes of scale, you can read:

brainly.com/question/9302261

4 0
2 years ago
Find the length of side x to the nearest tenth.<br> 30°<br> 12<br> x<br> х<br> 60°
k0ka [10]

<u><em>Answer</em></u>:

13.9

<em><u>Step-by-step explanation:</u></em>

<em>Use the Pythagorean Theorem </em>

x=13.85 round to the nearest tenth 13.9

<em />

8 0
2 years ago
A geometry student named Cornell claims that the two triangles in the diagram below are similar to one another. He asserts that
sveta [45]
They’re similar bc all sides have the same scale factor
3 0
3 years ago
The functions below describe the temperatures in two cities on the same day. Which city had the greater starting temperature? Wh
Tresset [83]

Answer:

They have the same rate of change.

Step-by-step explanation:

They both increase two degrees every hour.

4 0
3 years ago
Only the math gods can write this 50 PT proof!
fredd [130]

Answer:

because the 1st corner and the 2nd corner is places in a straight line which the total agle is 180° so since the 1st corner has same angle as the 13th one the 14th is must be have same angle as the 2nd corner. so that the 1st corner + the 14th corner is equal as 180°

3 0
3 years ago
Other questions:
  • A jar contains 38 marbles. It has 10 red, 22 black and 6 green marbles. Two marbles are drawn, the first is not returned before
    12·1 answer
  • A coin is tossed 71 times and 34 heads are observed. Is the coin fair? Use a 98% level confidence interval to base your inferenc
    12·1 answer
  • Hospitals typically require backup generators to provide electricity in the event of a power outage. Assume that emergency backu
    6·1 answer
  • The population of California is about 39 million is this greater than or less then 107
    12·2 answers
  • What percent of the shaded checker board squares have pieces?
    15·1 answer
  • What is<br>1/4 - (-1/6)​
    13·1 answer
  • Maria has 6 ⅛ cups of flour, but only needs 4 ¼ cups for her recipe. How much will she have left​
    15·2 answers
  • If you've driven at a consistent speed of 60 mph how much would you have traveled in 2 hours?
    5·2 answers
  • List the temperatures in order from hottest to
    8·1 answer
  • Pls help no links pls
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!