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

What is the pre-image of vertex A' if the image shown on the graph was created by a reflection across the y-axis?

(–8, –6)
(–6, 8)
(8, 6)
(6, –8)

Answers

Answer:

The answer is B. (-6,8) !

Step-by-step explanation:

3x+4=7-2x
Solve this equation for x with steps

Answers

Simplifying
3x + 4 = 7 + -2x

Reorder the terms:
4 + 3x = 7 + -2x

Solving
4 + 3x = 7 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
4 + 3x + 2x = 7 + -2x + 2x

Combine like terms: 3x + 2x = 5x
4 + 5x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
4 + 5x = 7 + 0
4 + 5x = 7

Add '-4' to each side of the equation.
4 + -4 + 5x = 7 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 7 + -4
5x = 7 + -4

Combine like terms: 7 + -4 = 3
5x = 3

Divide each side by '5'.
x = 0.6

Answer: x = 0.6

Kim needs 10 cups of apple juice for a recipe. How many quarts does she need?

Answers

She will need 2.5 quarts.

Kim will need 2.5 quarts.

How to find the quarts she needs?

Given = 10 cups quarter

From the given data = 10/4

⇒ 2.5

The answer is 2.5 quarts.

What does 1 quart equal to in cups?

There are 4 cups in 1 quart. There are 8 cups in 2 quarts. There are 16 cups in 4 quarts.

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can anyone help me pls

Answers

Answer:

88 degrees, 44 degrees

Step-by-step explanation:

The total of angles in a triangle is 180 degrees

so, 48+x+x-44=180

48-44+x+x=180

4+2x=180

-4 on both sides

2x=176

x=88

triangle: 3x-1,4x+1,3x
perimeter:70cm
area:A2
find A

Answers

Answer:

A = 210 cm²

Step-by-step explanation:

Perimeter of the triangle = the sum of the sides of the triangle.

70 = (3x - 1) + (4x + 1) + (3x)

70 = 10x  

7 = x     The length of the sides of the triangle are 3x - 1 = 20;  4x + 1 = 29 and                

             3x = 21.

 Looking at the given information, this triangle is a special type of triangle because the area of a triangle is Area = 1/2 bh and you do not know which side is the base and height of the triangle.

Trying a² + b² = c² to see if it is a right triangle.   20² + 21² = 29 ² ; yes it is a right triangle and now we know that the base and height is 20 and 21.   The longest side is the hypotenuse in a right triangle

A = 1/2bh

A = 1/2 (20)(21)

A = 10 · 21

A = 210 cm²

Tyler has 485 pieces of candy. He has 5 bags that he wants to fill the candy in. How many
pieces of candy, will be in each bag? (Solve using the standard algorithm).

Answers

Answer:

97 in each bag

Step-by-step explanation:

485÷5=97

97*5=485

Answer:

There would be 97 pieces of candy in each bag.

(used standard algorithm, not sure how to put that in here.) Tip: use 485 divided by 5 in long division. If you do not know how, look up the steps and write it down.

A linear equation in one variable (the variable x) that can be transformed into an equivalent equation in which of these forms has one solution?

A.
x = x
B. x= 3
C. 1=1
D. 1 = 3

Answers

Answer:

b maybe....

Step-by-step explanation:

please help and show work


x= ​

Answers

Answer:

x = 7

Step-by-step explanation:

from the properties of an isosceles triangle, 5x+6 = y-9

so

98+2(5x+6) = 180

98+10x+12 = 180

110+10x = 180

10x = 70

x = 7

There. Someone help pls.

Answers

Answer:

85 because if you do the math

write an algebraic expression for the word expression.
the sum of 9 and a number x​

Answers

Answer:

9 + x

Step-by-step explanation:

i think this is what you meant

Answer:

Write each phrase as an algebraic expression. In Example 2, each algebraic expression consisted of one number, one operation and one variable.

...

Algebraic Expressions With Example Problems and Interactive Exercises.

Phrase Expression

the sum of nine and a number x 9 + x

Step-by-step explanation:

Hopes this helps\

Mark as brainliest

In the circle represented by the equation (x-4)2+(y-3)2=25, the diameter is

Answers

i’m pretty positive the answer is (-3,4)

I don’t pay attention in classs Why are the plants in the picture classified as vascular?
A. They reproduce by seeds.
B. They grow in damp forests and along river banks.
C. They reproduce by spores.
D. They have tubes for carrying water and food.

Answers

Answer:

A

Step-by-step explanation:

Specifically, the various types of vascular plants are classified by whether they produce spores or seeds to make new plants. Vascular plants that reproduce by seed evolved highly specialized tissue that helped them spread across the land

Challenge elementary school has 800 students. Every Wednesday, 12% of the students stay after school for chess. How many students attend chess club on Wednesday?

Answers

Answer:

Its 96 bro :) 96 students

Step-by-step explanation:

Basically yeah, 800 is 100% of the population yeah. So just multiply 800 times 12%. 800 x 12% is 96.

96 = 12% of 800, I hope this helps!

Mr. Jackson likes to play a game in which rolling a 4 on a number cube doubles your score. He wants to know the probability that he will roll a 4 exactly 3 times out of 10 rolls. Define the variables for describing a binomial probability, and identify their values in this experiment.

Answers

Answer:

Step-by-step explanation:

Binomial Probability

P(x) =  n!/(n-x)!x! * p^x q^(n-x)

P(x) = probability there will be x required outcomes (here x is 3)

n = number of trials (here it is 10)

p = probability of 1 required outcome (getting a 4) on a single roll ( = 1/6).

q = probability of required outcome not occurring on a single roll.

p = 1/6

q = 1 -1/6 = 5/6

n = 10

x = 3

So the required probability

= 10!/ 7!3! (1/6)^3 (5/6)^7

= 0.155.

Why 10 is down how we get it?

Answers

i think you’re asking why 10 is there when you when from _/100? if so it’s because 10 is the square root of 100. 10 x 10 = 100. similar to how the square root of 4 is 2 and 25 would be 5. or 16 is 4.

Can someone pls help me

Answers

Answer:

A = Π R^2 = 3.14 * 6^2 m = 113 m^2   area of entire circle

102/360 = a = area of sector

a = 102/360 * 113 m^2 = 32 .0 m^2

find possible lenth and breadth of the rectangle whose area is given by the expression x power 2 +6x +8

Answers

[tex]x^2 +6x +8\\\\=x^2 + 4x +2x +8\\\\=x(x+4) +2(x+4)\\\\=(x+2)(x+4)\\\\\text{Possible length and breadth of the rectangle are (x+4) and (x+2) respectively.}[/tex]

what 0x0+1-0 explain it has to be mathematical geniuses

Answers

Answer:

1

Step-by-step explanation:

you cant multiply 0 and 0 and then plus one minus 0 you can't minus anything cuz it's well zero and it would be one

Answer:

1

Step-by-step explanation:

zero times zero is equal to zero, so if you add one to that, it then becomes one. After that, if you subtract zero from that you are basically not changing the one.

so yeah

F. A marketing company offers to pay $25 to the first 100 people who respond to its advertisement
and complete a questionnaire regarding its client's product. This will produce which type of
sample?
A. simple random sample
C. voluntary response sample
B. convenience sample
D. multistage cluster sample


HELPP ASAP PLZZZZZZZ LIKE RNN plzzzzzzz

Answers

Answer:

Convenience sample

Step-by-step explanation:

Getting paid to respond

B would be correct I think

23.
Find the next three terms of the arithmetic sequence. 19, 24, 29, 34, ...

Answers

Answer:

39, 44, 48

Step-by-step explanation:

Add 5 to the following terms.

Please mark me as the Brainliest, Thank you!

Can you please help me

Answers

Answer:

V = 113.1

Step-by-step explanation:

V= 4/3 π r^3

V= 4/3 x 3.14 x 3^3

V= 4.19 x 27

V= 113.13

rounded to 113.1

Given that:Radius= 3 mTo find:The volume of the given sphere rounding to the nearest tenth.Solution:A sphere is a three dimensional solid with a curved surface area.SI unit of volume is cubic meter.

In this question all the required information is given so we'll simply have to solve.

[tex]\large\boxed{\bold{V= \ \frac{4}{3}\pi{r}^{3}}}[/tex]

Let's substitute the values according to the formula.

[tex]\bold{ V= \frac{4}{3}×\pi×{3}^{3}}[/tex]

[tex]\bold{=113.0973355 \ {m}^{3}}[/tex]

Now, we can round off to the nearest tenth.

If the value in hundredths place is greater than 5 you'll have to round up. If not you'll have to keep it as it is.

In this, the value in hundredths place is greater than 5 so we'll have to round up by adding 1 to the tenths place.

[tex]\large\boxed{\bold{V= 113.1 \ {m}^{3}}}[/tex]

Therefore, the volume of the given sphere is 113.1 cubic meters.

what are the correct answers?

Answers

cos (75)=cos (15) nothing square and check

someone help!
what is y?

Answers

60

random stuff because the answer has to be 20 characters long

Answer:

y= 160°

Step-by-step explanation:

as we can see, the corresponding angles are both 20°

a straight line is 180°

180-20= 160

that's you're answer

write an equation
(X-P) (x-q)=0

Answers

Answer:

[tex]x^{2} -pqx+pq[/tex]

Step-by-step explanation:

Evaluate the expression for x = 5 and y = -1
xy - y =

Answers

Answer:

-4

Step-by-step explanation:

xy-y = ?

(5)(-1)-(-1) = ?

-5 + 1 = -4

Hope that helps

Mr. and Mrs. Ozawa are driving their family to a vacation spot 496 miles away. They want to get there in 8 hours. What is the average speed they need to drive?




Answers

The average speed Mr and Mrs Ozawa should drive is 62 miles per hour.

What is the difference between average and instantaneous speed?

The average speed is calculated for a period of time while instantaneous speed is calculated at certain instant of time.

For instantaneous speed and average speed are equal for an object moving with constant speed.

The total distance travelled is given as 496 miles.

And, the total time taken is 8 hours.

Average speed can be calculated by taking the ratio of total distance and time as follows,

Total distance ÷ Total time

⇒ 496 ÷ 8

⇒ 62

Hence, the average speed is given as 496 miles per hour.

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What is the y-intercept of y = 4x? Choose 1 answer:​

Answers

Answer:

B (0,0)

Step-by-step explanation:

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept y=mx+b. Using the slope-intercept form, the y-intercept is 0. b=0

The y-intercept of y=4x is (0, 0)

Option B is correct

Y-intercept of a linear equation

The slope-intercept of a line is given as:

y = mx + c

where m represents the slope

c represents the y-intercept

The given equation is y = 4x

To find the y-intercept, substitute x = 0 into the equation and solve for y

y = 4(0)

y = 0

Therefore the y-intercept of y=4x is (0, 0)

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Find the missing parts of the triangle. Round to the
nearest tenth when necessary or to the nearest minute
as appropriate.
1) C = 105.8°
a = 4.7 km
b = 8.3 km



A) No triangle satisfies the given
conditions.
B) c = 16.4 km, A = 23.2°, B = 51°
C) c = 13.5 km, A = 27.2°, B = 47°
D) c = 10.6 km, A = 25.2°, B = 49°

Answers

Answer:

1) C = 105.8°

Step-by-step explanation:

Guys, I really need these answers ASAP, Please help, I will give 10 points. Look at the 3 screenshots posted below

Answers

Answer:

w = 38%  or 37%

w = 37.7162629758% exact

Step-by-step explanation:

Lets say c = 100

If k = 15, 100 is decreases by 15% 2 times.

15% of 100 = 15

100 - 15 = 85

d = 85

Now lets find a

85 times .85 = 72.25

Now find what percent of 72.25 you have to add to itself to get 100

100 - 72.25 = 27.75

27.75 divided by 72.25

37% rounded

37.7162629758% exact

Find the y-intercept of the line: x + 4y + 8 = 0

Answers

Answer:

(0,-2)

Step-by-step explanation:

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