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
Mrac [35]
3 years ago
7

Use the number line​ below, where RS=5y+5​, ST=2y+5, and RT=52. a. What is the value of​ y? b. Find RS and ST.

Mathematics
1 answer:
Alchen [17]3 years ago
3 0

Answer:

y = 6, RS = 35 and ST = 17

Step-by-step explanation:

Given that,

RS = 5y+5

ST = 2y+5

RT = 52

If we consider a number line,

RT = RS + ST

52 = 5y+5 + 2y+5

52 = 7y + 10

7y = 52-10

7y = 42

y = 6

RS = 5y+5

= 5(6)+5

= 35

ST = 2y+5

= 2(6) +5

= 17

Hence, this is the required solution.

You might be interested in
The Graph describes the water level of creek after a rainstorm which best describes the domain in context?
belka [17]

The domain of a function are its possible input values

The domain of the function is <em>(b) all real numbers greater than or equal to 0.</em>

From the graph, we have the following observations

  • <em>t represents time (it is plotted on the x-axis)</em>
  • <em>t starts at 0</em>
  • <em>t has no end</em>

The above observations imply that; the domain starts from 0

Hence, the domain of the function is the set of all real numbers greater than or equal to 0.

Read more about domain at:

brainly.com/question/2709928

5 0
2 years ago
Two dice are tossed. The probability that the total score is a prime number is:​
andrew11 [14]

Step-by-step explanation:

50/50 it's random I think but I learned that in science

8 0
3 years ago
Read 2 more answers
A set of exam scores is normally distributed and has a mean of 80.2 and a standard deviation of 11. What is the probability that
ZanzabumX [31]

Answer:

93.32% probability that a randomly selected score will be greater than 63.7.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 80.2, \sigma = 11

What is the probability that a randomly selected score will be greater than 63.7.

This is 1 subtracted by the pvalue of Z when X = 63.7. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{63.7 - 80.2}{11}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

1 - 0.0668 = 0.9332

93.32% probability that a randomly selected score will be greater than 63.7.

5 0
3 years ago
In a survey of 300 house wires. It was discovered
ruslelena [56]

Answer:

46 housewives read all three magazines.

Step-by-step explanation:

Given:

        n(A) = 150

        n(B) = 200

        n(C) = 156

        n(A∩B) = 48

        n(B∩C) = 60

        n(A∩C) = 52

         n(A∪B∪C) = 300

so we know the relation as:

  n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C) + n(A∩B∩C)

∴ n(A∩B∩C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C)  - n(A∪B∪C)

                    = 150 + 200+ 156 - 48 - 60 - 52 - 300

                   = 46

Hence the number of housewives that had read all three magazine is 46.

8 0
3 years ago
-2x + 9x<br> What is the answer
Blababa [14]

Answer: 7x

<u>Remove "x" and add</u>

-2 + 9 = 7

<u>Add "x" back</u>

7 -----> 7x

Note: When adding/subtracting problems like these remove "x" and then add/subtract normaly. When you get your answer put x back.

7 0
3 years ago
Read 2 more answers
Other questions:
  • What does angle B equal?
    10·1 answer
  • Slope of the line that contains (1,6) and (2, -2)
    13·2 answers
  • I need help ASAP please I only have a few mins
    10·2 answers
  • Leakage from underground gasoline tanks at service stations can damage the environment. It is estimated that 25% of these tanks
    5·1 answer
  • What percent of 75 is 10? Which of the following choices can be used to solve this problem?
    15·2 answers
  • there are 93 calories in a small candy bar.how many calories are there in a half dozen small candy bar?
    11·1 answer
  • The circumference of a circular table top is 20 π centimeters. what is the area of the tabletop.
    9·1 answer
  • Find the area of the semicircle. Round your answer to the nearest whole number, if necessary.
    8·1 answer
  • What is 68.500.000 written in scientific notation?
    7·1 answer
  • Please show me how you got this answer <img src="https://tex.z-dn.net/?f=%5Csqrt%7B18a%5E2%7D%2A4%5Csqrt%7B3a%5E2%7D" id="TexFor
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!