Question

2. Jacob spends 60 minutes in the gym every day doing freehand exercises and running on the treadmill. He spends 30 minutes more running on the treadmill than doing freehand exercises.

Part A: Write a pair of linear equations to show the relationship between the number of minutes Jacob does free hand exercises(y) and the number of minutes he runs on the treadmill(x). (5 points)
Part B: How much time does Jacob spend on doing freehand exercises? (3 points)
Part C: Is it possible for Jacob to have spent 40 minutes running on the treadmill? Explain your reasoning.
@mathmath333

Answer 1

Part A: Write a pair of linear equations to show the relationship between the number of minutes Jacob does free hand exercises(y) and the number of minutes he runs on the treadmill(x). (5 points)



Part B: How much time does Jacob spend on doing freehand exercises? (3 points)


Part C: Is it possible for Jacob to have spent 40 minutes running on the treadmill? Explain your reasoning. (2 points)

Answer 2

Can you help me @mathmath333 @magepker728

Answer 3

jacob does two things in gym

freehand exercises and running on the treadmill

total time he spends is \(60~ min\)

if the time he spends for freehand exercises =\(x\)

then the time he spends for running on the treadmill.=\(x+30\)

hence

\(\large\tt \begin{align} \color{black}{ x+ (x+30)=60\hspace{1.5em}\\

}\end{align}\)

Answer 4

is this for part A

Answer 5

????

Answer 6

it is for all A B and C indirectly

Answer 7

Is it possible for Jacob to have spent 40 minutes running on the treadmill? Explain your reasoning. (2 points)

can
x= 40 ?

we have x=y+30 or 40= y+30 --> y= 10 minutes doing freehand
x+y= 40+10 = 50 minutes

He stays at the gym for 60 minutes. It is possible he goofs off for 10 minutes, and does exercises for 50 minutes. So I would say yes, he could have done 40 minutes of running.

Answer 8

haha

Answer 9

can you help me with b

Answer 10

did u find \(x\)

Answer 11

does x=30

Answer 12

no

Answer 13

nope

Answer 14

it equals 15

Answer 15

\(\large\tt \begin{align} \color{black}{ x+ (x+30)=60\hspace{1.5em}\\~\\
2x+30=60\hspace{1.5em}\\~\\
2x=60-30\hspace{1.5em}\\~\\
}\end{align}\)

Answer 16

yes thats B

Answer 17

what about c

Answer 18

Part B:
Plug in your value for x
remember: x=y+30
so
(y+30)+y=60
y+30+y=60
2y+30=60
2y=30
y=15

so 15 minutes doing freehand exercises so your right...c would be.....hold on

Answer 19

first what did find for \(A\)

Answer 20

y=15 x=45

Answer 21

Jacob does not spend 30 minutes on the treadmill, he spends 30 minutes MORE than 15, which is 45.
15+45=60
y+x=60

Answer 22

I think I'm right not sure though...

Answer 23

yeah I think that's right :D LOL

Answer 24

if

\(\large\tt \begin{align} \color{black}{(x+30)=40\hspace{1.5em}\\~\\
x=40-30\hspace{1.5em}\\~\\
x=40-30\hspace{1.5em}\\~\\x=10
}\end{align}\)

as \(x\) is positive integers so \(\Large\tt yes \)

he can possibly spent 40 minutes running on the treadmill

Answer 25

thank you guys sooooooooooo much

Answer 26

welcome:)