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
beks73 [17]
3 years ago
9

Within 11 years, the age of Peter will be half the square of the age he was 13 years ago. Calculate the current age of Peter. Re

ject the extraneous solution.
Mathematics
1 answer:
OLga [1]3 years ago
4 0

Answer:

21

ctto JBarnum

Step-by-step explanation:

P+11=(1/2)(P-13)^2

P+11=(1/2)(P^2-26p+169)

2(P+11)=(1/2)(2)(P^2-26p+169)

2P+22=P^2-26p+169

0=P^2-28p+147      ( -7 and -21)

(P-7)(P-21)=0

P=7,21                     (cant be 7 as 13 years from 7 is negative so peter is 21)

checking:

21+11=32

32=(1/2)(21-13)^2

32=(1/2)(8)^2

32=(1/2)64

32=32

correct

You might be interested in
The radius of a circle is never a chord true or false
frez [133]
True, because the chord connect 2 points of the circumference, but radius connect the center and a point on the circumference.
8 0
3 years ago
Please help me with the whole problem.
lions [1.4K]

Answer:

1. $155 ≥ $31.50p + $13.25

2. p ≤ 4

6 0
2 years ago
A) Model this situation with a linear system:
sergejj [24]

Answer:

The daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.

Step-by-step explanation:

Since to rent a car, a person is charged a daily rate and a fee for each kilometer driven, and when Chena rented a car for 6 days and drove 320 km, the charge was $ 286.00, while when she rented the same car for 10 days and drove 900 km, the charge was $ 605.00, to determine the daily rate and the fee for each kilometer driven the following calculation must be performed:

286 = 6 days and 320 km

320/6 = 53,333 km

286/6 = $ 47,666

Thus, the value of 1 day and 53,333 km is $ 47,666.

605 = 10 days and 900 km

900/10 = 90 km

605/10 = $ 60.5

Thus, the value of 1 day and 90 km is $ 60.5.

90 - 53,333 = 36,666

60.5 - 47.666 = 12.833

12,833 / 36,666 = value per kilometer traveled

0.35 = value per kilometer traveled

(286 - (0.35 x 320)) / 6 = X

(286/112) / 6 = X

174/6 = X

29 = X

(605 - (0.35 x 900)) / 10 = X

(605 - 315) / 10 = X

290/10 = X

29 = X

Therefore, the daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.

3 0
3 years ago
I don't know what to do with this help I think it's right but
xeze [42]

Answer:

Nice handwriting!

Step-by-step explanation:

I have no idea im only in 8th grade.

7 0
2 years ago
PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!!! The line plot shows the results of a survey of 10 boys and 10 girls about how many tim
Alchen [17]

Answer:

I think the answer is D. On average, boys saw the movie more than girls.

Do great on the test! ~ :)

7 0
3 years ago
Other questions:
  • What is the point slope equation of a line with slope -4 that contains the point (-2,7)?
    7·2 answers
  • What is value of sin2npi
    8·1 answer
  • I need this answered
    13·1 answer
  • Find the area of a rectangle with a base of 5 feet and a height of 9 1/2 feet​
    15·1 answer
  • What are the zeros of the function f(x) = x2 + 5x + 5 written in simplest radical form? Quadratic formula: x = x = x = x = x =
    8·2 answers
  • juan compra 12 dulces por 30 pesos, si al dia siguien el precio del dulce se incremento a 3.5 pesos cuanto se ahorro juan por ca
    7·1 answer
  • Andrew is driving to visit his grandmother. He drove 171 miles in 2 hours. What was his average rate of travel for this trip?
    8·1 answer
  • PLEASE PLEASE PLEASE HELP I WILL GIVE BRAINLIEST
    6·1 answer
  • What is the value of x?
    7·2 answers
  • If a+b = 0 and AB=-36 then what is a-b
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!