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
Ket [755]
2 years ago
5

Leo spent the same amount of time working on each of 5 different weight machines and then spent 2/3 of an hour on the treadmill.

If he spent a total of 1 3/4 hours at the gym, which shows the correct equation and solution for x, the number of hours Leo spent at each of the weight machines?
Mathematics
2 answers:
mixer [17]2 years ago
7 0

Let us say that the variable x is the amount of number of hours Leo spent at each of the weight machines.

Since there are 5 machines, therefore = 5 x

Adding this variable to the number of hours spent on the treadmill will give the total number of hours Leo spent at the gym. That is:

5 x + 2 / 3 = 1 3 / 4

5 x + 2 / 3 = 7 / 4

Therefore the correct equation is:

5 x + 2 / 3 = 7 / 4

Or if no denominator, we multiply the whole equation with 12 so that:

(5 x + 2 / 3 = 7 / 4) * 12

60 x + 8 = 21

or

60 x = 13

 

Solving for x will give:

x = 13 / 60

x = 0.217 hours

<span>Leo spend 0.217 hours on each of the 5 machines.</span>

Vikki [24]2 years ago
6 0

Let's break this down. We know that there are 5 weight machines, and Leo spent an equal amount of time on all of them. Since we don't know how long he spent on each, we'll use x. Our equation so far is 5x. Then, we know that he spent 2/3 hour on the treadmill, which we will just add to the 5x. So, now our equation is 5x + 2/3. Lastly, we know that the total time Leo spent at the gym is 1 3/4 hours, which we set the last equation equal to. Our final equation is 5x + 2/3 = 1 3/4. Then, all we have to do is solve for x. What we can do to make this easier is to change all of the fractions into numbers. After changing everything, here is our equation: 5x + 40 = 105. Then, we will subtract 40 from each side and divide both sides by 5. Therefore, Leo spent 13 minutes on each weight machine.

ANSWER:

A) 5x + 2/3 = 1 3/4 ; Leo spent 13 minutes at each machine

<u><em>Hope this helps!! :)</em></u>

<u><em>If there's anything else that I can help you with, please let me know!</em></u>

You might be interested in
PLZ HELP ;-;
Vaselesa [24]
The answer is x=6 and y=4.

6+4=10

and 8 times 6 + 12 times 4 is 96.
4 0
3 years ago
Read 2 more answers
PLEASE HELP ITS DUE IN 20 MINUTES
anastassius [24]

Answer:14

Step-by-step explanation: it's says x= the sign at the end meaning whatever x is it's greater than 2 and 14 is the only one greater than 2

8 0
3 years ago
Pls help me on number 5
Alekssandra [29.7K]
Answer is A trust me
7 0
2 years ago
Read 2 more answers
What are the solutions to the quadratic equation x^2-16=0
frutty [35]
Simplifying this, we get:
(x+4)(x-4) = 0
Now, to get 0, we can replace x for one of these things to make 0, so:
x can either be 4, or -4
8 0
3 years ago
Read 2 more answers
What is the answer to this how to work it
Anna007 [38]

9514 1404 393

Answer:

  (A)  -7

Step-by-step explanation:

The function is continuous if you can draw its graph without lifting your pencil. In this case, that means each of the piecewise function definitions must have the same value at x=3.

  x^2 +2 = 6x +k  . . . . . must be true at x=3

  3^2 +2 = 6(3) +k . . . . substitute 3 for x

  9 +2 -18 = k . . . . . . . . subtract 18

  k = -7 . . . . . . . simplify

7 0
2 years ago
Other questions:
  • Refer to this question below Thank You.
    13·1 answer
  • Find the first four terms of this geometric sequence a1 = 5 And r = 6
    10·1 answer
  • I need one cup of milk, what is the best choice at the store - a quart, a pint or a 1/2 gal container?
    11·1 answer
  • Can you guys help?<br> Need to find x, BA, DA
    15·1 answer
  • Y’all help meeeee :(
    11·1 answer
  • The sum of 13 and twice n
    6·1 answer
  • I don't understand this question 5,925,020 = 5,000,000 + ------ + 20,000 ----- + 2O
    12·1 answer
  • Is 20 the solution 20*7-6x=106
    8·1 answer
  • Translate each into an algebraic expression
    12·2 answers
  • George wanted to measure the angle of a water slide at the lake. He used a sheet of folded paper that formed a 20° angle. He mea
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!