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
erik [133]
3 years ago
13

The sum of Pete's and Sam's ages is 30. Five years ago, Pete was 3 times as old as Sam. How old is Sam? Let P = Pete's age, S =

Sam's age, and P + S = 30. Which of the following equations would complete the system?
A. P - 5 = 3S
B. P - 5 = 3S - 5
C. P - 5 = 3S - 15
Mathematics
2 answers:
m_a_m_a [10]3 years ago
4 0
Five years ago:
Peter= P-5
Sam = S-5
Peter was 3 times older than Sam, which means that (P-5) = 3(S-5)
P-5 = 3S-15
So, the equation that would complete the system is C. P - 5 = 3S - 15

P-5 = 3S-15
P-3S = -15+5
P-3S = -10

So, now we use two equations: P-3S = -10 and the original one P+S=30
P-3S=-10
P+S=30 (to simplify the equation, multiply it by -1)

P-3S=-10
-P-S=-30
__________
0P-4S=-40
-4S=-40
4S=40
S=40/4
S=10

P+S=30
P+10=30
P=20

This means that Pete is 20, and Sam is 10. Hope this helps!



Hunter-Best [27]3 years ago
3 0

Answer: correct answer is C.

P - 5 = 3S - 15

Step-by-step explanation:

You might be interested in
if the sum of the first 60 positive integers is s, what is the sum of the first 120 integers in terms of s? a. 2s 3600 b. s^2 36
kvasek [131]
For the first 60 positive integers, a = 1, n = 60, l = 60.
Sn = n/2(a + l)
s = 60/2(1 + 60) = 30(61)

For the next 60 positive integer, a = 61, n = 60, l = 120
Sum = 60/2(61 + 120) = 30(61 + 120) = 30(61) + 30(120) = s + 3600

Sum of first 120 positive integers = s + s + 3600 = 2s + 3600
6 0
3 years ago
Suppose f(x)=x^3 find the graph of f(x+1)
Basile [38]
F(x+1) = (x + 1)^3
= 3x + 3
= 3(0) + 3
= 3


I think is 3
5 0
3 years ago
The gym offers a discount when more than one member of the family joins. The first member (n=0) pays $550 per year. The second m
Verizon [17]

a. If we subtract 75 from 550 twice, we get 400, which is the third member to join. Subtract 75 from 400, we get $325, the fourth member to join.

b. It is not possible that a member would join for free if it was a large family. 75 does not fit into 550 evenly. You can prove this by solving the expression 550÷75.

c. The lowest amount that a member would pay to join is $25.00. It would be the 7th member.

5 0
3 years ago
I don’t know how to solve this
grandymaker [24]
Area of big rectangle =8x7=56cm²
area of small rectangle =5x4=20cm²
hence area of shaded region=56-20=36cm²
7 0
3 years ago
Read 2 more answers
Korey starts a small carwash business to save up some cash. He decides to offer two different price packages to his clients. Pac
almond37 [142]

Answer:

Do package B for the most money

Step-by-step explanation:

7 0
4 years ago
Other questions:
  • Answer this fast and I’ll make you Brainly
    12·2 answers
  • Yo can someone help me out (SHOW WORK)
    8·2 answers
  • Sam bought brushes for 8$ a palette for 5$ and oil paints for 15$ he paid 29.82 in all what sales tax rate did sam pay
    14·1 answer
  • Describe how you could draw a diagram for a problem about finding the total length for two strings, 15 inches long and 7 inches
    6·1 answer
  • The range of all real numbers x such that 2x − 5 < 7 and 4x + 10 > 6 is
    5·1 answer
  • **PLEASE HURRY**
    9·2 answers
  • Need help Will give you the brainliest
    11·1 answer
  • Two balls are drawn in turn without replacement from a box containing three green and two white balls.Find the probability of dr
    8·1 answer
  • .......................................................
    12·1 answer
  • PLEASE HELP! SO CONFUSED! 25 POINTS!!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!