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
Illusion [34]
3 years ago
11

You can jog around the block twice and the park once in 10 min. You can jog around the block twice and the park 3 times in 22 mi

n. Write a system of linear equations that represents this situation. How long does it take to jog around the park?
Mathematics
1 answer:
stich3 [128]3 years ago
6 0
B = block     p = park

2b + p = 10 min                2 runs around the block takes 10 minutes
2b + 3p = 22 min        2 runs around the block plus 3 runs around the park                                                       takes 22 minutes

To solve, I will use substitution. First, I will divide the first equation by 2 to get b by itself and subtract p from both sides to get b by itself. Then, substitute 5 - 1/2p in for b in the second equation because they have equal values. Then, subtract 10 from both sides to eliminate it. Divide by 2 to both sides to get 'p' by itself.

2b + p = 10 min ---------→b + 1/2p = 5 ----------→ b = 5 - 1/2p

2(5 - 1/2p) + 3p = 22 ---------→ 10 -p + 3p = 22 --------→ 10 + 2p = 22

10 + 3p = 22 ----------→ 2p = 12

2p = 12 -------------→ p = 6

It takes 6 minutes to jog around the park

Hope this helps!
You might be interested in
These equations take their y-values from the set (4, 5, 6, 7, 8). Arrange the equations in decreasing order of the values of y t
Advocard [28]

9514 1404 393

Answer:

  a, c, b

Step-by-step explanation:

Collect terms, subtract the constant, divide by the y-coefficient.

(a) 4y + (y - 1) = 29   ⇒   y = 6

(c) (2y + 3) - 4 = 9​   ⇒   y = 5

(b) 4y - y + 1 = 13   ⇒   y = 4 . . . . . this equation is not what you have written

__

<em>Additional comment</em>

The second equation suffers from a typo, so your answer may vary.

3 0
2 years ago
Read 2 more answers
4:3 is an example of...
Ghella [55]

Answer:

A ratio

Step-by-step explanation:

A quantitative relation between two amounts showing the number of times one value contains or is contained within the other

7 0
2 years ago
The cost of a gallon of milk is $.50 more than five times the cost of a gallon of water. If
pychu [463]

Answer:

$0.65

Step-by-step explanation:

3.75-.5=3.25

3.25/5=.65

5 0
3 years ago
Answer the questions about the following polynomial.
GalinKa [24]

Answer:

<u>Given:</u>

  • 6x^2+ 1/8

<u>The constant is term is:</u>

  • 1/8, the term with no variable

<u>The leading term is:</u>

  • 6x^2, the term with that included a variable of the greatest degree

<u>The leading coefficient is:</u>

  • 6, the coefficient of the leading term
4 0
3 years ago
Read 2 more answers
I want to know what is the area of 8ft to 12ft
Andreas93 [3]
I got 96ft squared but idk
8 0
3 years ago
Other questions:
  • What is the range of the function: {( 1 , 2 ) , ( 2 , 4 ) , ( 3 , 6 ) , ( 4 , 8 )}
    14·2 answers
  • What is the value of the digit 8 in 686 293
    9·1 answer
  • to buy the green and blue bikes would cost 1500$. to buy the green and red bikes would cost 750$. to buy all three bikes would c
    9·1 answer
  • Please answer 25 points
    15·1 answer
  • Maya is on her way home in her car. She has driven 12 miles so far, which is one-third of the way home. What is the total length
    10·2 answers
  • What is -2(3x+12y-5-17x-16y+4) simplified?
    15·2 answers
  • OMG MY TEACHER THINKS IM CHEATING WHAT DO I DOOO​
    8·2 answers
  • Hurryyy Plzzz!!
    15·1 answer
  • Robert can complete 10 inspections in 8 hours. Which represents the unit rate for the number of inspections he completes per hou
    15·1 answer
  • HELP DUE IN 10 MINUTES!!
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!