Tony 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 were 5 clients who did plan a and 6 who did plan b. on saturday there were 3 clients who did plan a and 2 who did plan b. tony trained his friday clients for a total of 12 hours and his saturday clients for a total of 6 hours. how long does each of the workout plans last?

Answers

Answer 1

Plan A lasts for 2 hours, and Plan B lasts for 1 hour.

Let's assume that Plan A lasts for "a" hours and Plan B lasts for "b" hours.

On Friday, there were 5 clients who did Plan A, so the total time spent on Plan A workouts is 5a hours. Similarly, for Plan B, with 6 clients, the total time spent on Plan B workouts is 6b hours. We know that the total training time on Friday was 12 hours, so we can create the equation:

5a + 6b = 12 (Equation 1)

On Saturday, there were 3 clients who did Plan A, so the total time spent on Plan A workouts is 3a hours. For Plan B, with 2 clients, the total time spent on Plan B workouts is 2b hours. The total training time on Saturday was 6 hours, so we can create the equation:

3a + 2b = 6 (Equation 2)

We now have a system of equations (Equation 1 and Equation 2) that we can solve to find the values of "a" and "b." Solving this system of equations yields the following results:

a = 2

b = 1

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Related Questions

sin^2A+cos^2A=? .find the value. ​

Answers

Answer:

1

Step-by-step explanation:

it is an identity. hope it helps

Can you guys help me!!!

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Answer:

I guess its the 3rd one not sure

There we go BRIANLIST

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Answer:

B!

Step-by-step explanation:

Hope that helps!

Please help me to solve the 7th part !​

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Answer:

i don't know

Step-by-step explanation:

sorry sorry sorry berry much

−2x+5=−25
x =

green what’s the answer

Answers

Answer:

x = 15

Step-by-step explanation:

-2x= -25-5

-2x=-30

x= 15

A parking lot has the shape of a parallelogram. The length of two adjacent sides are 70 meters and 100 meters. The angle between them is 70°. What is the area of the parking lot?

Answers

the answer is 6577.85 m^2

The area of the parking lot is 4606 square meter.

What is parallelogram?

It is a special type of quadrilateral that has both the pairs of opposite sides parallel and equal.

What is the area of parallelogram?

The area of a parallelogram is the product of its base and height.

We have,

length of two adjacent sides are 70meters and 100meters.

And base of parallelogram is 70m.      (length of parallelogram is its base)

Angle between the adjacent sides is 70 degrees.

Let, side AB and BC be the two adjacent sides whose lengths are 70m and 100m.And h be the height of the parallelogram.

For the height of the parallelogram

In ΔADE, we have

[tex]sin70=\frac{DE}{AD}[/tex]           [tex](sinx=\frac{perpendicular}{hypotenuse})[/tex]

⇒ [tex]0.9397=\frac{h}{70}[/tex]

⇒ [tex]0.9397[/tex]×70[tex]=h[/tex]

⇒ h=65.8m

Formula to find the area of parallelogram:

Area= base× height

so, the area of parking lot=base × height

substitute the value of base and height of the parallelogram in the above formula.

Therefore,

[tex]Area=65.8[/tex]×[tex]70[/tex]

[tex]Area=4606m^{2}[/tex]

Hence, the area of the parking lot is 4606 square meter.

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i need help with this problem

Answers

slope = Δy / Δx

11-8
--------
5-4

=

3
----
1

= 3

Answer:

y = 3x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 2) and (x₂, y₂ ) = (3, 5) ← 2 points on the line

m = [tex]\frac{5-2}{3-2}[/tex] = [tex]\frac{3}{1}[/tex] = 3

The line crosses the y- axis at (0, - 4) ⇒ c = - 4

y = 3x - 4 ← equation of line

COMBINATION
Solve each problem using the appropriate permutation formula.
1.In how many ways can 3 boys and 6 girls sit in a row of 4 chairs?
2.In how many ways can 8 cars line up a car?
3.In how many ways can a group of 8 friends sit around a circular table?
plss help​

Answers

Answer:

1) 3024 ways

2) 40320 ways

3) 5040 ways

Step-by-step explanation:

1) there are 3 boys and 6 girls. Thus, total number = 9 people.

There are four rows of chairs.

Thus, number of ways of being sitted is;

9P4 = 9!/(9 - 4)! = 3024 ways

2) number of ways = 8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40320 ways

3) since circular arrangement, then number of ways is; (n - 1)!

Thus,answer is; (8 - 1)! = 5040 ways

what is the standard form of (-2/3)x - 4

( slope intercept )

Answers

Answer:

m=0,b for -2/3 x-4

Step-by-step explanation:

..........

Type the expression that results from the following series of steps:
Start with
y
, subtract 7, divide by 3, then add 6.

Answers

Answer:

well, y - 7 divided by 3 + 6 = y + 11/3

Step-by-step explanation:

hope this helps! have a nice day!

Solve A = P(1 + rt) for t

Answers

A=P(1+rt)
A/P=1+rt
A/P-1=rt
AP-P/Pr = t
A-1/r=t

Answer:

t = (A/p-1) r

Step-by-step explanation:

p = p (1+rt)

A/P = 1+rt

rt = A/P- 1

t = ( A/P- 1) r

Si un bloqie rueda sobre un plano rugoso tiene perdida de energia mecanica ficicamente esto quiere decir

Answers

Answer:

Step-by-step explanation:

Desde el concepto de conservación de la energía mecánica, es decir, la energía asociada con el movimiento coherente de un objeto, la energía cinética del objeto, junto con su momento, están conectadas entre sí. Entonces, si un bloque rueda sobre un plano irregular, tiene pérdida de energía mecánica, esto significa que la energía cinética se compensa con las ganancias o pérdidas de la energía potencial de la interacción del objeto.

Julie's brother says that instead of paying her the $40 he owes her, he will give her
$2 today and double the amount she has each day for 6 days. Should Julie accept
her brother's offer? Why or why not?

Answers

Answer:

Yes

2*2*2*2*2*2=64

so that is a much better deal than the original 40$

Step-by-step explanation:

Which of the linear solution has no solution?

Answers

Answer:

c

Step-by-step explanation:

it will eventually cancel

The Answer Is C! :))

9. In a home economics class, 6 girls worked together and sewed a dress in 4 days. How long
would it have taken for 4 girls to make the same dress?​

Answers

Answer:

6 days.

Step-by-step explanation:

Given that in a home economics class, 6 girls worked together and sewed a dress in 4 days, to determine how long it would have taken for 4 girls to make the same dress, the following calculation must be performed:

X / 6 = 4

X = 4 x 6

X = 24

24/4 = 6

Thus, the 4 girls will take 6 days to make the same dress that 6 girls made in 4 days.

Consider the polynomial function q(x) = 3x^4 – 5x^3 – 2x^2 + x – 18.
What is the end behavior of the graph of q?

Answers

Answer:

a in the picture

Step-by-step explanation:

The end behaviour of the function is correctly represented by option 1.

What is the end behaviour of a function? What do you mean by domain and range of a function?

The end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).

For any function y = f(x), Domain is the set of all possible values of [x] for which [y] exists. Range is the set of all values of [y] that exists for the given domain.

Given is the following function polynomial as -

q(x) = 3x⁴ – 5x³ – 2x² + x – 18

The given polynomial is -

q(x) = 3x⁴ – 5x³ – 2x² + x – 18

Graph the function. It can be seen that the domain is limited from -

x = -1.365 to x = 2.351 which is a small value. So, we can predict the end behaviour of the graph as given in option [1].

Hence, the end behaviour of the function is correctly represented by option 1.

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Find the value of x.
I will give brainliest if you get it right!, please double check your work! Thannks!

Answers

Answer:

36 degrees

Step-by-step explanation:

There's 180 degrees in a triangle.

Since they're supplementary angles, we do 180-142=38.

We now know that 106+38+x=180.

Solve for x: x=36

Help please
3 |X-4| +1 = 19

Answers

The answer would be X = 10

please help me out please ​

Answers

Answer:

Distance formula = √(x2 - x1)^2 + (y2 - y1)^2

Step-by-step explanation:

(-2, 6) to (3, -2)

3 + 2 = 5^2 = 25 + 64 = 89.

√89

Factor the GCF: 6x^2 + 3x + 9 *

Answers

Answer:

3(2x² + x + 3)

Step-by-step explanation:

zzzzzzzzzzzzzzz

Evaluate (49/64) ^1/2 write it as a fraction

Answers

Answer:

7/8

Step-by-step explanation:

Get rid of the (   )

put the 49/64 into a √  sq root and it cancels out the 1/2

49/64       whats the square root of 49? 7  Ss root of 64 is 8

7/8

Hi i need some help on this it will really help

Answers

Answer:

He can afford 5 large cheese pizzas.

Step-by-step explanation:

$40 ÷ $7.50 = 5.333333

You cannot buy 1/3 of a pizza, so you round the number to a whole number.

5.333333 ----> 5

5 large cheese pizzas

Answer:

Diego can afford 5 large cheese pizzas.

Step-by-step explanation:

$40 ÷ $7.50 = 5.3333

He cannot buy part of a pizza, so you round it to 5.

can somebody please try to break down how to solve systems of equations by substitution as much as possible? i've used so many apps but i still can't get a grasp of it. please!!! 20 points. please don't answer just for the points!!!

Answers

Answer:

okay, so let's take an example problem:

y = x + 4 where "y" = 5

so first, you plug in 5 in "y"'s place like so:

5 = x + 4

then, you solve for "x"

5 - 4 = 1

so therfore:

x = 1

if you need more of an explanation please do not be afraid to reach out. my goal isn't to get points, it's to help.

What is the volume of this rectangular prism?

1/4 cm,
1/2 cm,
1/3 cm

Reduce the fraction to its simplest terms.

Answers

What rectangular prims, what do you mean?!?

numero de horas que duerme cual es la variable cualitativa?​

Answers

Answer:

El número de horas que una persona duerme todos los días, durante un mes, es una variable continua ordinal

Step-by-step explanation:

an inground rectangular pool has a concrete pathway surrounding the pool. If the pool is 16 feet by 32 feet and the entire are of the pool including the walkway is 924ft^2, find the width of the walkway.

Answers

Answer:

Step-by-step explanation:

[tex](32+2W)(16+2W)=924\\ \\ 4W^2+96W+512=924\\ \\ 4W^2+96W-412\\ \\ W^2+24W-103=0\\ \\ W=-24\frac{\sqrt{988}}{2}\\ \\ W\approx 3.72ft[/tex]

Rewrite the expression using the common denominator

Answers

Answer:

The answer is C

Step-by-step explanation:

Answer:

Its c

Step-by-step explanation:

got it right on edge

The population P for a small island was 6 380 correct to the nearest 10. Complete the statement about the limits of P

Answers

Answer:

sorry I dont know

Step-by-step explanation:

I do not know

Sean answered 18 of 20 quiz questions correctly. What percent of the quiz questions did sean awnser correctly?

A. 11%
B. 18%
C. 90%
D. 98%​

Answers

Answer:

90%

Step-by-step explanation:

18/20 × 100 = 90%

I hope this helps!

Answer:

Sean answered 90% of the questions in the quiz correctly

oh whoopsie somebody answered already but oh well- 乁[ᓀ˵▾˵ᓂ]ㄏ

What is the slope of the line that passes through the points (-8,-6) and (-18,6)

Answers

Answer:

-6/5

Step-by-step explanation:

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 6 - -6)/( -18 - -8)

   = ( 6+6)/ (-18+8)

   = 12/ -10

    -6/5

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