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
Usimov [2.4K]
3 years ago
11

If R is the midpoint of PS with PR = 7x + 23 and RS= 13x-19 then find PS

Mathematics
1 answer:
Rainbow [258]3 years ago
7 0

If R is the midpoint of PS, then PR = RS -- (1)

Also, PR + RS = PS -- (2)

__________________

PR + RS = PS

7x + 23 + 13x - 19 = PS

__________________

Now, PR = PS

7x + 23 = 13x - 19

7x - 13x = -19 - 23

-6x = -42

x = -42/-6

x = 7

__________________

PS = 7x + 23 + 13x - 19

PS = 7(7) + 23 + 13(7) - 19

PS = 49 + 23 + 91 - 19

<u>PS </u><u>=</u><u> </u><u>1</u><u>4</u><u>4</u><u> </u>

Hope it helps!

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

You might be interested in
Marlene is solving a number puzzle involving three rational numbers a, b, and c. Here are her clues:
rusak2 [61]
A/c = 8.....a = 8c
a * c = 2 ...a = 2/c
a/b = -16 ...a = -16b
a * b = -1....
b/c = -0.5

2/c = 8c
2 = 8c^2
1/4 = c^2
sqrt 1/4 = c
0.5 (or 1/2) = c <===

a * c = 2
0.5a = 2
a = 2/0.5
a = 4 <===

a = -16b
4 = -16b
4/-16 = b
-1/4 (or - 0.25) = b <===
5 0
3 years ago
Two bells ring every 10 and 25 minutes respectively. They start ringing together at 6 a.m. At what time will they next ring toge
qwelly [4]

Answer:

6:50

Step-by-step explanation:

The bell that rings every 10 min will ring at 6:00, 6:10, 6:20,6:30, 6:40, 6:50

The bell that rings every 25 min will ring at 6:00, 6:25, and 6:50

7 0
3 years ago
If you are a dog lover, having your dog with you may reduce your stress level. Does having a friend with you reduce stress? To e
Pepsi [2]

The outlier of a dataset is a data element that is relatively far from the remaining data elements

  • <em>99 is an outlier of pet group</em>
  • <em>See attachment for the parallel box plots</em>

<u>(a) Prove that 99 is an outlier for Pet</u>

We have:

<em>Pets: 58 64 65 68 69 69 69 70 70 72 76 79 85 86 99</em>

n = 15

The quartiles positions are:

Q_1 = \frac{n + 1}{4}

Q_1 = \frac{15 + 1}{4}

Q_1 = \frac{16}{4}

Q_1 = 4th

Q_3 = Q_1 \times 3

Q_3 = 4th \times 3

Q_3 = 12th

So, we have:

Q_1 = 4th

Q_3 = 12th

From the pet group:

The data elements at the 4th and 12th positions are 68 and 79

So, we have:

Q_1 = 68

Q_3= 79

The lower and upper limits of the outlier are:

L = Q_1 - 1.5 \times (Q_3 - Q_1)

U = Q_3 + 1.5 \times (Q_3 - Q_1)

So, we have:

L = 68 - 1.5 \times (79 - 68)

L = 51.5

U = 79+ 1.5 \times (79 - 68)

U = 95.5

This means that data below 51.5 or above 95.5 are outliers.

<em>Hence, 99 is an outlier because 99 is greater than 95.5</em>

<u>(b) The parallel box plot</u>

The three groups are:

<em>Pets: 58 64 65 68 69 69 69 70 70 72 76 79 85 86 99</em>

<em>Erlento: 88 80 80 81 92 87 88 81 82 80 87 92 87 80 82 </em>

<em>Alone: 62 70 73 75 77 80 84 84 84 87 87 87 90 91 99</em>

<em />

See attachment for the parallel box plots

Read more about box plots and outliers at:

brainly.com/question/14940764

5 0
3 years ago
Find the sum of 997 + 992 + 987 +...+ 257 +252
Vikentia [17]

Answer:

  93,675

Step-by-step explanation:

We see that the given sequence is an arithmetic sequence with first term 997, common difference -5, and last term 252.

The number of terms in the sequence (n) can be found from the formula for the n-th term:

  an = a1 +d(n -1)

  (an -an)/d +1 = n

  (252 -997)/(-5) +1 = n = 150

The sum of these terms is the average of the first and last terms, multiplied by the number of terms:

  S150 = (997 +252)/2·150 = 93,675

The sequence sum is 93,675.

7 0
3 years ago
Which graph best represent the inequality? pictures down below , Thank you all &lt;3
kow [346]

Answer:

y ≤ 3x+1

Step-by-step explanation:

when the line is solid with no spaces in between, that automatically rules out A) and C). and the shading is underneath the line so that rules out B) as well. Also, if you look through the line that passes through the Y-axis, you can see that it is on +1 so that automatically tells you that both -1 are out.

Hope this helped you!

#MRS

6 0
1 year ago
Other questions:
  • Round each number to the nearest tenth. What is the best estimate for the answer to 471.41 – 397.46? A. 70 B. 73.9 C. 74 D. 74.9
    5·2 answers
  • Bruce walks 3/4 miles in 1/5 hours. What is his speed in miles per hour?<br> Please Help!!
    8·1 answer
  • What is the process of comparing data with a set of rules or values to determine if the data meets certain criteria
    11·1 answer
  • Solve for h<br> a= 1/2bh<br><br> a. 2a/b = h<br> b. 2a = b/h<br> c. h= 1/ab<br> d. h= 2ab
    7·1 answer
  • Prove that :-<br><br> Cos3A-cosA/sin3A-sinA+cos2A-cos4A/sin4A-sin2A=sinA/cos2Acos3A
    15·1 answer
  • Solve the following equation for h.<br> r+3Q/h=t
    15·1 answer
  • There are 125 berries that are being put into individual baskets. If each basket holds 30 berries, how many baskets will be fill
    13·1 answer
  • Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!
    14·1 answer
  • From MATH workbook 2B ​
    9·1 answer
  • WILL MARK BRAINLIEST!!!!!!jessica created a model of an ice cream cone by combining the shapes of a cone and a hemisphere. Based
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!