Mathematics: The distance around the park is _ yards.

The distance around the park is _ yards., №9718637, 12.01.2020 20:37

Mathematics

Afavorite part of visiting an amusement park is the food! julio owns a popcorn machine and has permission to sell bags of popcorn at all-around amusement park. he always provides a free bag of popcorn to the 28 park workers, and he estimates that 1/3 of all park-goers will buy a bag of popcorn. write an equation in function notation, where f(x) represents the number of bags of popcorn needed, and x represents the number of park-goers.

Step-by-step answer

P Answered by PhD

9

F(x) = 1/3x + 28 <===

Mathematics

Afavorite part of visiting an amusement park is the food! julio owns a popcorn machine and has permission to sell bags of popcorn at all-around amusement park. he always provides a free bag of popcorn to the 28 park workers, and he estimates that 1/3 of all park-goers will buy a bag of popcorn. write an equation in function notation, where f(x) represents the number of bags of popcorn needed, and x represents the number of park-goers.

Step-by-step answer

P Answered by PhD

9

F(x) = 1/3x + 28 <===

Mathematics

You can jog around your block twice and the park once in 10 minutes. you can jog around your block twice and the park 3 times in 22 minutes. a. write a system of linear equations that represents this situation. let x represent the number of minutes it takes you to jog around your block and y represent the number of minutes it takes you to jog around the park. system of equations: b. how long does it take you to jog around the park? it takes you minutes to jog around the park.

Step-by-step answer

P Answered by PhD

19

Part a) The system of equations is

2x+y=10

2x+3y=22

Part b) The number of minutes it takes you to jog around the park is $6\ min$

Step-by-step explanation:

Part a) Write a system of linear equations

Let

x-----> the number of minutes it takes you to jog around your block

y---> the number of minutes it takes you to jog around the park

we know that

2x+y=10 ----> equation A

2x+3y=22 ----> equation B

Part b) How long does it take you to jog around the park?

Multiply equation A by -1 both sides

-1(*2x+y)=-10 ------> -2x-y=-10 ----> equation C

Adds equation B and equation C

$2x+3y=22\\-2x-y=-10\\-------\\ 3y-y=22-10\\2y=12\\y=6\ minutes$

Find the value of x

2x+(6)=10

2x=10-6

$x=4/2=2\ minutes$

Mathematics

Apark is 4.6 miles long and 2.7 miles wide. a: what is the total distance around the park? b: if a racecar drove 50 times around the park, how far will it go?

Step-by-step answer

P Answered by PhD

A) Total distance around the park is 14.6 miles

B) The total distance drove by racer 730 miles

Step-by-step explanation:

Given as :

The length of park = 4.6 miles

The width of park = 2.7 miles

Let the total distance cover around park = Perimeter of park = P miles

So, Perimeter of rectangular park = 2 × Length + 2 × width

or, P = 2 × 4.6 + 2 × 2.7

I.e P = 9.2 + 5.4

Or, perimeter = 14.6 miles

A ) ∴ Total distance around the park = 14.6 miles

B ) The total distance drove by racer = 50 times around the park

So, The total distance drove by car = 50 × Total distance around the park

∴The total distance drove by car = 50 × 14.6 = 730 miles

Hence A) Total distance around the park is 14.6 miles

B) The total distance drove by racer 730 miles answer

Mathematics

You can jog around your block twice and the park once in 10 minutes. you can jog around your block twice and the park 3 times in 22 minutes. a. write a system of linear equations that represents this situation. let x represent the number of minutes it takes you to jog around your block and y represent the number of minutes it takes you to jog around the park. what is the system of equations?

Step-by-step answer

P Answered by PhD

7

2x + y = 10
2x + 3y = 22

Please consider marking this answer as Brainliest to help me advance, and let me know if you need any clarifications.

Mathematics

You can jog around your block twice and the park once in 10 minutes. You can jog around your block twice and the park 3 times in 22 minutes. Write a system of linear equations that represents this situation. How long does it take you to jog around the park?

Step-by-step answer

P Answered by Specialist

Here’s the answer, it’s all explained in the photo below

You can jog around your block twice and the park once in 10 minutes. You can jog around your block t

Mathematics

Each lap around a park is 0.58 mile .jessica walked 3.25 laps around the park. how many miles did jessica walk around the park

Step-by-step answer

P Answered by PhD

49

1.885 miles

Step-by-step explanation:

Given: One lap around a park = 0.58 mile

The number of laps walked by Jessica= 3.25

Then, in miles , the distance walked around the park by Jessica will be (Multiply the number of laps to the value of one lap in miles) :

$3.25\times0.58=1.885\text{ miles}$

Hence, Jessica walked 1.885 miles around the park.

Mathematics

Sarabeth ran 1 2/5 miles on a path around the park. this was 5/8 of the distance around the park. what is the distance around the park.

Step-by-step answer

P Answered by PhD

8

5/8 7/5 miles
1/8 7/5÷5 = 7/25 miles
8/8 7/25 x 8 = 56/25 = 2.24 miles

Mathematics

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 min. write a system of linear equations that represents this situation. how long does it take to jog around the park?

Step-by-step answer

P Answered by Specialist

5

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!

Mathematics

Each lap around a park is 0.58 mile .jessica walked 3.25 laps around the park. how many miles did jessica walk around the park

Step-by-step answer

P Answered by PhD

49

1.885 miles

Step-by-step explanation:

Given: One lap around a park = 0.58 mile

The number of laps walked by Jessica= 3.25

Then, in miles , the distance walked around the park by Jessica will be (Multiply the number of laps to the value of one lap in miles) :

$3.25\times0.58=1.885\text{ miles}$

Hence, Jessica walked 1.885 miles around the park.