Sam 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 Wednesday
there were 5 clients who did Plan A and 3 who did Plan B. on Thursday there were 7 clients who did Plan A and 9 who did Plan B. Sam trained his Wednesday
clients for a total of 6 hours and his Thursday clients for a total of 12 hours. How long does each of the workout plans last?
Length of each Plan A workout:
Length of each Plan B workout:

Answers

Answer 1

Answer: 45 minutes for BOTH workouts

Step-by-step explanation:

Let time for plan a be x

Let time for plan b be y

On Wednesday

# of clients for plan a are 5

# clients for plan b are 3

On Thursday

# of clients for plan a are 7

# of clients for plan b are 9

Wednesday eqn --> 5x+3y=6

Thursday eqn --> 7x+9y=12

Multiply Wednesday equation by -3 and use elimination to solve

-15x-9y=-18

7x+9y=12

-8x=-6

x=6/8

Reduce: x=3/4 hour

Substitute x=3/4 into Thursday equation

7(3/4)+9y=12

9y=27/4

y=3/4

Therefore, the length of BOTH the plan a and plan b workouts were 45 minutes


Related Questions

In the inequality -4n + 3 > 7, you will need to flip the inequality sign to solve for n. True False

Answers

Answer:

True because you need to divide by -4 at one stage. Dividing by  a negative number will reverse the inequality.

Step-by-step explanation:

[tex]-4n+3>7\\\\\implies -4n >7-3\\\\\implies -4n> 4\\\\\implies n<\dfrac{4}{-4}\\\\\implies n<-1\\\\\text{Interval,}~ (-\infty, -1)[/tex]

You need $145 in cash if you withdraw money from your savings account using the ATM how much will you need to withdraw in order to have at least one $145 based upon how ATM’s dispense money?

Answers

Answer:

290

Step-by-step explanation:

145 withdrawal free + 145 in cash = 290.

in a sale there is a 40% discount.what is the discount on a dress that costs $150.00​

Answers

Answer:

$90 or $60

Step-by-step explanation:

how many days are in a year?

Answers

Answer:

365 days in a year

Step-by-step explanation:

Look at a calendar

Answer:

Three hundred and sixty-five

Step-by-step explanation:

We know this because it takes exactly 1 year (365 days) to make one rotation around the sun. But we see the sun every day because the earth is on a sort of axis that it rotates on so when one-half of the earth does not see the sun the other half does due to this axis.

branliest if correct.

Solve.


2.903=y+710


Enter your answer as a decimal in the box.


y =

Answers

Y = 2.203

( 2.903-0.7) = 2.203

add the expression(3x+2)+(2x+5)​

Answers

5x+7 u add the light terms

4. Which table shows a constant rate of
change?
A
Hours
2
7
14
Earnings ($)
40
60
80
B.
Hours
2
7
14.
Earnings ($)
40
140
280
C
Hours
2
7
14
Earnings ($)
40
70
140

Answers

Answer:

A 16. B 20). C 40 ... 40' 60'| 80. 20 20 20. 2 7 14a. 40 140|| 280'|. BX Hours. Earnings ($).

Step-by-step explanation:

24. What are the x and y intercepts of the following
equation: 4x – 3y = 24
A. X-intercept (6,0) and y-intercept (0,-8)
B. x-intercept (-8,0) and y-intercept (0,6)
C. x-intercept (4,0) and y-intercept (0,-3)
D. x-intercept (-3,0) and y-intercept (0,4)

Answers

Answer:

C

A. X-intercept (6,0) and y-intercept (0,-8) wrong

B. x-intercept (-8,0) and y-intercept (0,6)wrong

C. x-intercept (4,0) and y-intercept (0,-3) correct

D. x-intercept (-3,0) and y-intercept (0,4) wrong

What is 3.6% as decimal’s?

Answers

Answer:

.036

Step-by-step explanation:

.036 = 3.6%

converting percent to decimal:  remove the percent sign and move the decimal point two places to the left

Answer:

0.036

Step-by-step explanation:

To convert to a decimal, divide the percent number by 100.

3.6 ÷ 100=0.036

Therefore, the decimal form is 0.036

If 3 is added to three quarter of a certain number, the result is 30.find the original number.

Answers

Answer:

Original number is 36

Step-by-step explanation:

Let,

Number be x

3x/4 + 3 = 30

3x + 12/4 = 30

3x + 12 = 30 × 4

3x + 12 = 120

3x = 120 - 12

3x = 108

x = 108/3

x = 36

If AB is parallel to CD and the slope of AB is -3, what is the slope of CD

Answers

Answer:

-3

Step-by-step explanation:

The slopes of parallel lines are equal.

If two lines are parallel (that means they are at the same angle, they are always the same distance apart and they never cross), then they have the same slope. Both lines have slope -3

Answer:

-3

Step-by-step explanation:

There is a rule in math that if two slopes are parallel, they must have the same slope. Let's answer the question with this first.

So AB is parallel to CD, meaning they must have the same slope. If AB's slope is -3, then so must CD's. That's the answer to the question.

Coming back to the parallel slope rule, why does this work? Well, if two lines are parallel, it means they never will touch each other, meaning they rise, fall, bend, curve, etc... at the same rate. The slope is the change in how much the line rises divided by the change in how much it runs (moves horizontally). That proves the rule.

Please consider a brainliest, thank you!

A can of paint will cover 100 square feet. How many cans of paint will Hannah need to buy to paint all six surfaces of her room?​

Answers

Answer:

need to know the dimentions of the room

Step-by-step explanation:

Pls help me
With the hard math problem

Answers

Answer:

A) For the first 10 minutes, the train travels 4 miles.B) The train stops at two stations before it arrives at Springfield. The first station is 4 miles from Metro center. The second station is 8 miles from Metro center.C) The longest time the train travels without stopping is 10 minutes.D) It takes 20 minutes to get from Metro center to Springfield

Hoped this helped.

[tex]BrainiacUser[/tex]

a calculus problem that i have no idea what to do please help

Answers

Answer:

-[tex]\sqrt{5}[/tex]/8

Step-by-step explanation:

so you are looking to find the second derivative of this function, given the derivative. that means that all you have to do is take the derivative of that function and then plug in 16 for h.

rewrite the function to be -(5h)^1/2

then take its derivative using power rule and chain rule

-(1/2)*(5)*(5h)^(-1/2)  **the five comes from the chain rule and taking the derivative of the 5h

then plug in 16 for h to find -[tex]\sqrt{5}[/tex]/8 or about -0.2795

Helpppp

Evan spent 20 hours doing homework last week. This week he spent 25 hours doing homework. He says that he spent 125% more time doing homework this week. Is he correct? Show your work to justify your decision.

Answers

Answer: Evan is incorrect

Step-by-step explanation:

20/20 - 25 x 100 =

5/20 x 100/1 =

500/20

500/20 = 20%

Evan would only be correct is he doubled the 20 hours to make it 40 hours

Hope this helps✌

what is 4 + 3i^2 and is it real or imaginary?

Answers

Answer:

4+6i

Step-by-step explanation:

Distribute the 2 to the 3i

You get 6i, you can't add 4 to 6i because 4 is real and 6i is imaginary.

It's a complex imaginary number

Real

[tex]\\ \sf\longmapsto 4+3i^2[/tex]

i^2=-1

[tex]\\ \sf\longmapsto 4+3(-1)[/tex]

[tex]\\ \sf\longmapsto 4-3[/tex]

[tex]\\ \sf\longmapsto 1[/tex]

4 5/6 x 3/10
simplify the answer completely and change it to a mix number

Answers

Step-by-step explanation:

4+5/6*3/10

29/6*3/10

=87/60

=29/20

=1 9/20

We have :   [tex]4\frac{5}{6}[/tex] × [tex]\frac{3}{10}[/tex] = [tex]\frac{29}{6}[/tex] × [tex]\frac{3}{10}[/tex] = [tex]\frac{29}{20}[/tex] = [tex]1\frac{9}{20}[/tex]

ANSWER:   [tex]1\frac{9}{20}[/tex]

Ok done. Thank to me :>

What is an equation of the line that passes through the points (2, 1) and (3, -4)?

Answers

Answer:

huh Step-by-step explanation:

its really hard

Answer:

y = -x - 1

Step-by-step explanation:

(y - y1)/(x - x1) = (y1 - y2)/(x1 - x2)

(y - 4)/(x - (-3)) = (4 - (-1))/(-3 -2)

(y - 4)/(x + 3) = 5/-5

(y - 4)/(x + 3) = -1

y - 4 = -1(x + 3

y - 4 = -x - 3

y = -x - 1

x over 2 +2= 15 two step equations

Answers

Answer:

[tex]\boxed{\boxed{\sf x=84}}[/tex]

Step-by-step explanation:

[tex]\sf \cfrac{x}{6} +2=16[/tex]

Multiply both sides of the equation by 6:

[tex]\sf x+12=96[/tex]

Subtract 12 from both sides:

[tex]\sf x=96-12[/tex]

Subtract 12 from 96:

[tex]\sf x=84[/tex]

_________________________________

Answer:

[tex] \sf \: \longmapsto\frac{x}{6} + 2 = 16[/tex]

[tex]\sf \: \longmapsto\frac{x}{6} = 16 - 2[/tex]

[tex]\sf \: \longmapsto \frac{x}{6} = 14[/tex]

[tex]\sf \: \longmapsto \: x = 14 \times 6[/tex]

[tex]\sf \: \longmapsto \: x = 84[/tex]

Step-by-step explanation:

[tex]\fbox {\fbox {\fbox {\fbox{ \pink{HeavenMistress}}}}}[/tex]

Ella brought 7 new Christmas cards to add to her card collection this year. the next day she mailed half of her entire collection to her elf family and friends. there are now only 21 cards left. how many cards did Ella start with?

Answers

Answer:

42

Step-by-step explanation:

the half of 42 is 21 so if she mailed the half of it then she just have 21 cards

I did help on this question

Answers

Answer:

6/7

Step-by-step explanation:

X=8,2x+y=12 solve by substitution show work

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's substitute the value of x as 8 in the given equation to find the value of y ~

[tex] \sf2x + y = 12[/tex]

[tex] \sf(2 \times 8) + y = 12[/tex]

[tex] \sf16 + y = 12[/tex]

[tex] \sf y = 12 - 16[/tex]

[tex] \sf y = - 4[/tex]

A company rents out 11 food booths and 20 game booths at the county fair. The fee for a food booth is $100 plus $9 per day. The fee for a game booth is $95 plus $6 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount in dollars, that the company is paid. The expression is?​

Answers

Answer:

  3000 +219d

Step-by-step explanation:

The food booth rental revenue is ...

  11(100 +9d) = 1100 +99d

The game booth rental revenue is ...

  20(95 +6d) = 1900 +120d

Then the total revenue is ...

  (1100 +99d) +(1900 +120d) = 3000 +219d

Ben’s father is paying for a $20 meal he has a 50% off coupon for the meal after the discount a 7% sales tax is applied what does Ben’s father pay for the meal after the discount

Answers

$20 = 100%
50%= $10
Making $10 the new 100%
$10/100=0.1
0.1=1%
0.1x7=0.7
Meal after discount = $10.70
I think this is right? I hope it helped :)

Can someone please help me with this

Answers

Answer:

Ted's Organic Market

Step-by-step explanation:

Calculate the unit cost ( price per pound )

From the table using $16.50 for 6 lbs , then

unit cost = $16.50 ÷ 6 = $2.75

From the graph using $8.40 for 3 lbs , then

unit cost = $8.40 ÷ 3 = $2.80

Ted's Organic Market has the better price

What is the value of the digit in the ten thousands place?
16,985,717
A. 90,000
B. 8,000
C. 10,000,000
D. 80,000

Answers

Answer:

D. 80,000

Step-by-step explanation:

A tip might be to read the number outloud and then the answers to see the similarities.

Hope this is helpful :)

Put the trinomial x^2+8x+14 into (x+a)^2+b form where a and b can be positive or negative. Thanks!

Answers

(x + a)^2 + b form can be achieved by a method known as completing the square.

Step 1: Divide the b term by 2 and square it

8 / 2 = 4

4^2 = 16

Step 2: Add and subtract 16 from the expression

---Adding 16 creates a perfect square trinomial between x^2 + 8x + 16. But, if we add 16, we also need to subtract it. So, we will subtract 16 from our c term, 14.

x^2 + 8x + 16 + 14 - 16

x^2 + 8x + 16 - 2

Step 3: Factor the perfect square trinomial

(x^2 + 8x + 16) - 2

(x + 4)(x + 4) - 2

(x + 4)^2 - 2

Answer: (x + 4)^2 - 2

Hope this helps! :)

PLEASE SOLVE THIS WITH FULL EXPLANATION ASAP I HAVE A MATH EXAM ​

Answers

Answer:

3/5y

Step-by-step explanation:

6y/35 ÷10y^2/7

to solve this you do reciprocal of 10y^2/7

then;

6y/35 x 7/10y^2

solving this

3/5y

This is the right answer step by step…if you are good at maths y’ll understand it

PLS HELP WILL MARK YOU BRAINLIEST!!
No fake answers pls

Answers

Answer:

The first one is true, also the second one. Third one as well and the forth also. They all are solutions of the equations. Weird but true.

Answer:

1) x= -6 isn't the correct solution.

2) x=15 is the correct solution.

3) x= -1 isn't the correct solution.

4) x= -4/5 is the correct solution.

Step-by-step explanation:

1) 2x=9+3

2x=12

x=6

2) x=17-2

x=15

3) (multiply both members per 12)

3x-4x=-1

-x=-1

x=1

4) -3x-15=2x-11

-3x-2x=15-11

-5x=4

x= -4/5

i need help please thanks​

Answers

Answer:

I can't write the equation but getting the answer is easy.

The difference in volume of the 2 aquariums is .2 cubic feet.

The difference in weight is 12.48 pounds.

Therefore, .2 cubic feet of water weighs 12.48 pounds.  Therefore the

weight of 1 cubic foot of water = 12.48 / .2 = 62.4 pounds.

Step-by-step explanation:

Other Questions
More accurately classified jazz-rock bands in the late 1960's would be TheFourth Way, and Free Spirits. These bands, as with the other groupsdiscussed in this chapter, infused the use of _______instrumentsand other non-conventional instruments into the sound of their jazzmusic. What were the economic ideals of the presidents during the Roaring 20s?. Help please What is an ordered pair? 1. a type of font in Microsoft Word2. the end of the x-axis on a coordinate grid3. two numbers that tell the location of a point on a coordinate grid4. a type of table located in the Table drop-down menu When running the following code:true = 5false = 6print (true + false)-The interpreter will: Solve the inequality 4x - 19 -27 What is the perimeter of the triangle? what is the name of the West African country is known for its palm oil production There are 32 more pupils in the Robotics Club than in the Art Club. The number of pupils in the Robotics Club is 18 less than 3 times the number of pupils in the Art Club. How many pupils are there in the Robotics Club? White the correct enging that completed these adjectives. Remember to match yhe gender and number of nouns. A Eva le gusta comer unas galletas buen Which word is NOT a cognate?A. rendez-vousB. en routeC. pommeD. gourmet 18. Tor F: If you think someone is having a heart attack but is breathing normally and responsive in every other way, you should perform CPR orhands-only CPR.TrueFalse what is the rectangular cross hatch chart used for eye test called Which statement BEST supports John Calvin's idea of predestination? 1. If the spinner below is spun once, find the probability of a number less than 10 2. Should personal opinions play a role in presidential decisions? Why or why not? 3. Use proportional reasoning to answer the following question.When buying an item, discount is always taken offbefore applying tax. How much does a $1200phone cost with a 35% discount and 10% tax? No como pizza ____ cuatro meses.quehace desdehaca The area of the triangle below is 14.96 square inches. What is the length of the base? If the first 5 terms of an infinite geometric sequence are 100, 60, 36, 21.6, and 12.96, then the sum of all the terms in the sequence is ______ A sheet of cardboard is 1.6 m by 0.8 m. The following shapes are cut from the cardboard: a circular piece with radius 12 cm a rectangular piece 20 cm by 15 cm 2 triangular pieces with base 30 cm and height 10 cm. What is the area of the remaining piece of cardboard in m? (Consider = 22/7)