Aldo the trainer has two solo workout plans that he offers his clients: plan a and plan b. Each client does either one or the other (not both). On friday there 8 were clients who did plan a and 3 who did plan b. On saturday there were 3 clients who did plan a and 5 who did plan b. Aldo trained his friday clients for a total of 7 hours and his saturday clients for a total of 6 hours. How long does each of the workout plans last?

Answers

Answer 1

Answer:

x = number of hours to train plan a clients

x = 0.55 hour

y = number of hours to train plan b clients

y = 0.87 hours

Step-by-step explanation:

Friday

Plan a = 8 clients

Plan b = 3 clients

Total hours = 7

Saturday

Plan a = 3 clients

Plan b = 5 clients

Total hours = 6

Let

x = number of hours to train plan a clients

y = number of hours to train plan b clients

8x + 3y = 7 (1)

3x + 5y = 6 (2)

Multiply (1) by 5 and (2) by (3)

40x + 15y = 35 (3)

9x + 15y = 18 (4)

Subtract (4) from (3)

40x - 9x = 35 - 18

31x = 17

Divide both sides by 31

x = 17 / 31

= 0.548 hour

Approximately

x = 0.55 hour

Substitute x = 0.55 hour into (1)

8x + 3y = 7

8(.55) + 3y = 7

4.4 + 3y = 7

3y = 7 - 4.4

3y = 2.6

Divide both sides by 3

y = 2.6 / 3

= 0.867 hours

Approximately

y = 0.87 hours

x = number of hours to train plan a clients

x = 0.55 hour

y = number of hours to train plan b clients

y = 0.87 hours


Related Questions

The fraction model below the steps that a student performed to find a quotient. Which statement best interprents the quotient.

Answers

Answer:

7436947

Step-by-step explanation:

Scott is making a dip that has 3 5 of a teaspoon of garlic for every 1 2 of a teaspoon of hot sauce. What is the unit rate of garlic to hot sauce in the dip? 1 3 5 teaspoons of garlic per teaspoon of hot sauce 5 6 teaspoon of garlic per teaspoon of hot sauce 1 1 5 teaspoons of garlic per teaspoon of hot sauce 2 3 teaspoon of garlic per teaspoon of hot sauce

Answers

Answer:

1/ 1 5 teaspoons of garlic per teaspoon of hot sauce

Step-by-step explanation:

Scott is making a dip that has 3 /5 of a teaspoon of garlic for every 1 /2 of a teaspoon of hot sauce.

3/5 teaspoon of garlic = 1/2 teaspoon of hot sauce

1/2 teaspoon of hot sauce = 3/5 teaspoon of garlic

1 teaspoon of hot sauce =

= 1 × 3/5 ÷ 1/2

= 3/5 ÷ 1/2

= 3/5 × 2/1

= 6/5

= 1 1/5 teaspoon of garlic.

Therefore, the unit rate of garlic to hot sauce in the dip is:

1/ 1 5 teaspoons of garlic per teaspoon of hot sauce

what is an equation of the line in, point slope form, that passes through the given point and has the given slope?
point: (8,-8); slope: 3

Answers

Answer:

I hope this helps

Step-by-step explanation:

The answer is 3.453

Answer:

y + 8 = 3(x - 8)

Step-by-step explanation:

y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex]) Use point-slope form.

y - (-8) = 3(x - 8) Substitute [tex]y_{1}[/tex]for -8, m for 3, and [tex]x_{1}[/tex] for 8.

y + 8 = 3(x - 8) is the equation.

(I'd appreciate a brainliest! thanks)

-2(x - 5) = -14 PLEASEEEEE HELPPPPPP

Answers

okay so you need to start off by using the distributive property, meaning you are going to multiply -2 by both items within the parentheses. this gives you -2x + 10 = -14. from here you want to isolate x, so you’ll subtract both sides by 10 to move it to the other side. this gives you -2x=-24. then you’ll divide both sides by -2 to completely isolate x. this gives you x=12. does that make sense?

Question in the pic​

Answers

Answer:

y= 2/3x -1

Step-by-step explanation:

1. b = -1

2. slope = 2/3

At present, the highest peak of the Appalachian Mountains is 6,684 feet. Millions of years ago, before weathering and erosion had occurred, the highest peak was about 30,000 feet. What is the difference between the highest peak millions of years ago and the highest peak today? Explain how you know your answer is reasonable. Enter the correct numbers in the boxes to show the answer and to complete the explanation.

Answers

Answer:

23316ft

Step-by-step explanation:

in this problem, we are expected to solve for the change in height of the Appalachian Mountains

given that

the initial height was = 30,000 feet.

the current height is=6,684 feet.

Due to erosion the change/difference in height is give as

change/difference=30000 -6684

change/difference=23316ft

this means that for millions of years ago 23316ft of Appalachian Mountains have been eroded

How has our national anthem helped to promote unity in diversity?​

Answers

Answer:

Nepal's national anthem really promotes diversity

Step-by-step explanation:

There are all sorts of words used that display diversity

f(x) = 10x - 2x2
find f(4)

A 24
B -22
C. -24
D. -8

Answers

Answer:

maybe try A

Step-by-step explanation:

Write and solve an equation to answer the following question. The Smith family rented a recreational vehicle for a seven-day vacation. The cost to rent the recreational vehicle was $560 plus $0.50 per mile. How many miles were driven if the total cost was $1350?
a. 790 mi
b. 1580 mi
c. 395 mi
d. 3820 mi

Answers

Answer:

1580 miles

Step-by-step explanation:

We can represent the total cost for the rental with the equation d=560+0.5m where d is the cost and m is the miles driven. We know this equation works as  560 is the fixed cost, and it costs $0.5 per mile, and in math, "per" means multiplication.

Now we can solve for m as we know that d=1350 in this case.

Solving we get:

1350=560+0.5m

790=0.5m

1580=m

Thus, they drove 1580 miles.

please hurry and help ill give brainy
The ratio of skiers to snowboarders is 5 to 2. If 210 skiers rode the chairlift in the last hour, how many snowboarders rode the chairlift during that same time?
[A] Write a proportion that is defined by this situation.
[B] Explain how the cross product is used to solve the problem.
[C] Answer the question.

Answers

Answer:

84

Step-by-step explanation:

5/2 for every 2.5 skiers one snowboarder rides

[A] 2.5 skiers to one snowboarder

[B] [tex]\frac{1}{2.5} = \frac{?}{210}[/tex]

210=2.5*x divide both sides by 2.5

x=84

[C] 84 snowboarders rode at the same time as 210 skiers

please help with the problem above

Answers

Answer:

The answer would be -9x^2+x-8

What percent of 300 is 67?

Answers

The answer would be 22.33 hope this helped
It would be 22.33 hope this helped.

Channelside Boat Rental Shop charges 100 dollars plus 25 dollars an hour for renting an electric boat. John paid 225 dollars to rent a boat. How many hours did he have the boat checked out?

Answers

Answer:

1 hour and 45 mins

Step-by-step explanation:

I am not sure I am right but I think I am

Hope this helps!

Answer:

1 hour and 25 minutes

Step-by-step explanation:

Given (x - 1)2 = 50, select the values of x.
x = -49
X = 51
x= 1+5VE
x-1-52

Answers

Answer:

x = 26

Step-by-step explanation:

(x - 1) 2 = 50

or, 2x - 2 = 50

or, 2x = 50+2

or, 2x = 52

or, x = 52/2

or, x = 26

hence, x = 26

A figure has side lengths 5, 7, and 13. Could the figure be a triangle?

Answers

Answer: no

Step-by-step explanation:

12 meters in 28 seconds as a unit rate

Answers

You divide and get 3/7 meters per second

PLEASE HELP! I WILL MAKE YOU BRAINLIST!

Answers

Answer:

14. B15. B

Step-by-step explanation:

14...................................

11 2/3 pages in 15 minutes

35/3 ⇔ 1535/3 ÷ 15 ⇔ 15÷1535/45 ⇔ 17/9 ⇔ 1

7/9 pages per min

Option B

15....................................

5 2/3 meters in 1/3 hours

17/3 ⇔ 1/3 17 ⇔ 117 meters per hour

Correct option is B

Answer:

14. B

15. B and D

Step-by-Step Explanation:

Question 14:

11 2/3 ÷ 15

35/3 * 1/15

35/45

7/9

Therefore, the answer is B.  

Question 15:

We need to divide to find the unit rate.  5 2/3 ÷ 1/3

17/3 * 3/1

51/3

17

Find the length if Farrah walks 1/5 of an hour.

1/5 * 17 = 3 4/5

Therefore, the answer is B and D.  

Best of Luck!

12=3y-y+4y
i know that y=2 but i need to know the step by steps

Answers

Answer:

This is my best explanation

Step-by-step explanation:

3y-y=2y

2y+4y=6y

Now you need to divide 12 by 6 to get the value of y

That will be 12/6=2

So, y=2

Have a nice day.

Answer:

Step-by-step explanation:

12 = 3y - y + 4y

combine ys

3- 1 = 2

12 = 2y +4y

12 = 6y

divide,

12/6

y=2

The image of trapezoid PQRS after a reflection across Line W Y is trapezoid P'Q'R'S'.

2 trapezoids are shown. Line W Y is the line of reflection. Line segment R R prime has a midpoint at point Z. Line segment S S prime has a midpoint at point X.

What is the relationship between RR' and SS'?

Answers

Answer:

The answer is C. RR' || SS'

Step-by-step explanation:

Answer:

The answer is C. RR' || SS'

Which are equal to the
product?Check all that apply.
3 2/5 x 1/2

17/5

17/10

1 5/7

1 7/10

3 2/5


Answers

(( 17/10 & 1 7/10 ))

Answer:

17/5x1/2=17/10

Step-by-step explanation:

improper fraction---17/10

(1 7/10)[into mixed fraction

Plz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

6: no

7: no

-9: yes

-2: no

Evaluate each function over the set of real numbers.
If f(x) = |x-3|, f (3) =
-3
0
1
3
Undefined​

Answers

Answer:

1.) 0

2.) undefined

3.) undefined

Step-by-step explanation:

2020EDGE

The value of function f(x) = |x-3| at x=3:

f(3) = 0

Given,

f(x) = |x-3|

Now,

Here the function f(x) is modulus function . Thus the values coming out of the function will be positive .

So,

f(x) = |x-3|

Now we have to substitute the value of x in the function.

f(3) = |3 - 3|

f(3) = |0|

f(3) = 0

Thus the value of function at x = 3 is 0 .

Know more about modulus function,

https://brainly.com/question/30241426

#SPJ2

3a+ 6 = 15, 3a = 9, a+ 2= 5, 1/3a =1
are any of these equation equivalent to one another if so, which ones? Explain tou reason

Answers

Given parameters:

  Find if any of the equations are the equivalent;

           3a+ 6 = 15

            3a = 9

            a+ 2= 5

              [tex]\frac{1}{3a}[/tex] =1

To find which of the equations are equivalent to one another, let us solve them first. The ones with the same solution are definitely equivalent.

     (i)  3a+ 6 = 15

                3a  = 15 - 6

                 3a  = 9

                    a = 3

       (II)   3a = 9

                a = 3

    (III)     a+ 2= 5

                a = 5-2

                a = 3

   (IV)      [tex]\frac{1}{3a}[/tex] =1

             1 = 3a

             a  = [tex]\frac{1}{3}[/tex]

We clearly see that the first three equations are equivalent.

A runner runs at an average speed of 5 m/s for 50 seconds.
How far did the runner run in metres?


Answers

Answer:

He has ran 250 metres.

Step-by-step explanation:

Since he runs 5 meters per second, you would obviously multiply 50 times 5, which is 250.

Answer:

250 meters

If you do 5 x 50 you will get how far the runner ran because I mean that's how averages work, I really hope this helped!

The atomic number of an element is equal to the number protons in the atoms of that element
True or false

Answers

Answer:

True

Step-by-step explanation:

Answer:

It is true

Step-by-step explanation:

Hope I Helped....✌

Can you please tell me What is 25x4

Answers

Answer:

The answer is 100

Step-by-step explanation:

The answers is gonna be 100

Dylan is playing with a see-saw on the playground. He puts a piece of tape at specific distances from the center of the see-saw so that there ratio of the distance between the center and the tape and the distance between the center and the right end is always a common fraction. Dylan then records the relationship between the height of the tape and the height of the left end of the see-saw, relative to a neutral position.

Use the pattern you observe in the table below to correctly complete Dylan’s conjectures.


distance from center to tapedistance from center to right end
height of tape
(centimeters)
height of left end
(centimeters)
12
−1
2
12
2
−4
13
−2
6
13
1.5
−4.5
If the tape is placed at 13 of the distance between the center and right end, when the left end is at a height of 18 centimeters, relative to a neutral position, the tape will be at a height of
centimeters, relative to a neutral position.


If the tape is placed at 14 of the distance between the center and right end of the see-saw, then the height of the left end will be
times the height of the tape, relative to a neutral position.

Answers

Answer:

wait is there a pic

if there is i need that

Step-by-step explanation:

(1 point) .
What is the equation, in standard form, of a parabola that models the values in the table?
х -2 0 4
f(x) 0 -6 78
a.) y= 6x² + 5x - 4
b.) y=-4x2–5x + 6
c.) y=5x2 + 4x = 6
d.) y=4x² + 5x- 6
please helpppp​

Answers

Answer:

Correct answer D. y = 4x2 + 5x – 6

Step-by-step explanation:

just took the test

There are 6 triangles and 4 circles. What is the simplest ratio of circles to total shapes?

Answers

Answer:

2:5

Step-by-step explanation:

Have a good day!

Answer:

6:10 but 3:5 simplified

70.5 rounded to the nearest whole number

Answers

Answer:

71

Step-by-step explanation:

the fractional part is 5 and 5 is 5 or above. Therefore, we add 1 to the integer part and remove the fractional part to get the answer Therefore, we add 1 to the integer part and remove the fractional part to get 70.5 rounded to the nearest whole number which is 71

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