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
d1i1m1o1n [39]
3 years ago
6

Keisha the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the

other (not both). On Wednesday there were 2 clients who did Plan A and 3 who did Plan B. On Thursday there were 6 clients who did Plan A and 5 who did Plan B. Keisha trained her Wednesday clients for a total of 6 hours and her Thursday clients for a total of 12 hours. How long does each of the workout plans last?
Mathematics
1 answer:
gregori [183]3 years ago
6 0

Answer:

Plan A last 0.75 hours or 45 minutes.

Plan B last 1.5 hours or 90 minutes.

Step-by-step explanation:

Let a be the number of hours that the plan A last, an b the number of hours of plan B. Then for the Wednesday you have:

2a+3b=6

And for the Thursday is:

6a+5b=12

Multiply the equation of Wednesday by -3:

-6a-9b=-18

Using the method of addition using this last equation and the equation of Thursday

-6a-9b=-18\\6a+5b=12\\--------\\-4b=-6\\b=\frac{-6}{-4}\\b=1.5 hours

Replacing the value of b in one of the equations

6a+5b=12\\6a+5(1.5)=12\\6a+7.5=12\\6a=12-7.5\\a=\frac{4.5}{6} \\a=0.75hours

You might be interested in
How do you figure out the reciprocal of a numer? E.g 5, 2/7 and 1&2/5 ??
eimsori [14]
You need to multiply 1 and 5 plus 2. 
and for 5 2/7 it would be 5 times 7 plus 2.

So...
5 2/7= 37/7

1 2/5= 7/5
6 0
4 years ago
PLEASE HELPP!!!!<br><br> Please find the areas of these shape
UNO [17]
The answer of the First one is 76
4 0
3 years ago
What is the axis of symmetry for f(x) = -3x^2+12x-6
il63 [147K]
-3x^2 + 12x -6
a = -3
b = 12
We calculate the vertex "x" value with this formula:
(vertex "x value")  = -b / (2*a)
(vertex "x value")  = -12 / -6
The vertex "x" value equals the axis of symmetry value.
The axis of symmetry is at x = 2.

Source:
http://www.1728.org/quadr3.htm


6 0
3 years ago
Select True or False.
Lyrx [107]

The expression is False the correct answer would be: −x+12

3 0
3 years ago
Read 2 more answers
9. There are 56 children who need to be divided into teams of 8. How many children will
anyanavicka [17]

Answer:

Your answer is 7 children on each team

Step-by-step explanation:

The question clearly states "divided," so divide 56 by 8.

The question is asking you how many kids are on each team.

If I didn't understand the question properly, let me know. :) good luck!

5 0
3 years ago
Other questions:
  • Y=1200+400x can be used to represent Y the total cost of renting an apartment for x months. What is the amount of the deposit
    6·1 answer
  • Which group of numbers is listed from least to greatest
    8·2 answers
  • Sketch a plane containing points E,D, and B; where E and B are collinear with A , and D is a vertex where CD and FD meet.
    8·1 answer
  • Why is it helpful to write a decimal in different ways
    15·1 answer
  • James has a job with a current salary of $42,000. He wants to earn a college degree that will take him 2 years to complete and i
    15·1 answer
  • Graph the function f(x) = x3 − 15x2 + 68x − 96.
    11·2 answers
  • What is the value of a and b?<br> a3+b=180
    14·1 answer
  • If a triangle has 2 sides of 8 and 11 what could the third side be
    8·1 answer
  • The computer lab has 37 wireless touchscreen devices
    9·1 answer
  • What is 2/3 divided by 4/5.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!