Given: Q=7m+3n, R=11-2m, S=n+5, and T=-m-3n+8
simplify Q+S-T

Answers

Answer 1

Answer:

[tex]Q+S-T = (7m + 3n) + (n + 5) - ( - m - 3n + 8) \\ = (7 + 1)m + (3 + 1 + 3)n + (5 - 8) \\ = 8m + 7n - 3[/tex]


Related Questions

A machine cell uses 204 pounds of a certain material each day. Material is transported in vats that hold 34 pounds each. Cycle time for the vats is about 2.25 hours. The manager has assigned an inefficiency factor of .17 to the cell. The plant operates on an eight-hour day. How many vats will be used

Answers

Answer: 2 Vats will be used

Step-by-step explanation:

using the formula below, the ideal number of Kanban cards can be calculated;

N = (DT × ( 1 + X)) / C

where N is total number of container,

D is panned usage rate of using work Centre

T is Average waiting time for replenishment of parts plus average production for a  container of parts,

X is policy variable set by management that reflects possible inefficiency in the system ,

C is capacity of standard container.

Now, in the question, we were given that;

D = 204 pounds per day  = 204 / 8hrs = 25.5 pounds/hr   { The plant operates on an eight-hour day}

T = 2.25 hrs

X = 0.17

C = 34 pounds each

we substitute

N = (25.5×2.25 × ( 1 + 0.17)) / 34  

N = 67.12876 / 34

N = 1.974375 ≈ 2 Vats

Therefore 2 Vats will be used.

 

t+50=130 so wat is t

Answers

t= 115, subtract the 50 on both sides

The employment status (employed or unemployed) of each individual in the U.S. workforce is a set of data that is of interest to economists, businesspeople, and sociologists. To obtain information about the employment status of the workforce, the U.S. Bureau of the Census conducts what is known as the Current Population Survey. Each month interviewers visit about 59,000 of the 98 million households in the United States and question the occupants over 14 years of age about their employment status. Their responses enable the Bureau of the Census to estimate the percentage of people in the labor force who are unemployed (the unemployment rate).

Answers

Question Completion:

(a) Identify the experimental unit.

(b) Define the population of interest to the Census Bureau.

(c) Identify the sample.

(d) What variable is being measured? Is it quantitative or qualitative?

(e) Describe the statistical inference that the economists intend to make.

Answer:

a. The experimental unit is the households visited.

b. The population of interest to the Census Bureau is all US-based individuals aged 14 and above.

c. The sample is 59,000 households.

d. The variable under measure is quantitative (percentage estimate of people in the labor force who are unemployed).

e. The economists want to make a statistical inference of the unemployed population based on the sample data analysis that they conduct.

Step-by-step explanation:

a) Data and Calculation:

Population of interest = 98 million households

Sample from population = 59,000 households

b) The unemployment rate is the percentage of the total workforce of a country that is unemployed and who may be actively seeking employment at a particular period.  This implies that the unemployment rate may include persons who are active members of the workforce but may be underemployed.  


Since starting a new recycling plan, Aaron's office recycles 7 kilograms of paper each week,
How many weeks will it take Aaron's office to recycle a total of 28 kilograms of paper?

Answers

Answer: 4 weeks

Step-by-step explanation: 28 divided by 7 is 4.

A different aquarium should contain 15,000 liters of water when filled correctly. It will overflow if it gets to 17,600 liters.

One day there is an accident and the tank cracks in 4 places. Water flows out of each crack at a rate of liter per hour. An emergency pump can re-fill the tank at a rate of 2 liters per minute. How many minutes must the pump run to replace the water lost each hour?

Answers

Step-by-step explanation:

How much hours have passed?

help now plss !!!!!!!!

Answers

Answer:

Difference: B: 7

Sum: C: 8

4^(x-1)+4^(x)+4^(x-1)=84

Answers

Answer:

7.66

Step-by-step explanation:

Just open the parenthesis.

4x-4+4x+4x-4=84

Now simplify and solve

12x-8=84

12x=92

x= 7.66

3/4 + -3/8 + -1/4=?
Evaluate the expression

Answers

Answer: -1/8

Step-by-step explanation:

3/4 + -3/8 + -1/4

Find the LCM of 4, 8, and 4

That's 8 so you make an equivalent fraction for all fractions so the denominator is 8.

3/4 = 6/8

-3/8 = -3/8

-1/4 = -4/8

Now the expression looks like this:

6/8 + - 3/8 + -4/8

6/8 - 3/8 - 4/8

6/8 - 7/8

-1/8

Hope that helped!

What is the constant of proportionality 7=7.26x

Answers

9514 1404 393

Answer:

  7.26

Step-by-step explanation:

If your equation is ...

  y = 7.26x

the coefficient of x is the constant of proportionality. It is 7.26.

Dan makes 11 1/7 cups of snack mix he puts all the snack mix into a plastic bags he puts 3/7 cups of the snack mix in each bag how many plastic bags does dad need

Answers

Answer:

23 bags

Step-by-step explanation:

Answer: 23

Step by step explanation:

PLEASE HELP ASAP!!! TIMED

Answers

A, B, and C are all correct.

The graph below represents the amount of water measured in a swimming pool as a function of time.?



As time increases, the amount of water in the pool increases.
As time decreases, the amount of water in the pool decreases.
As time increases, the amount of water in the pool decreases.
As time decreases, the amount of water in the pool increases.

Answers

Answer:

As time increases, the amount of water in the pool decreases.

Step-by-step explanation:

Chang needs 245 programs for the school play on Thursday. How many boxes of programs will he need, given that each box contains 37 programs?

Answers

7 boxes

Let’s set up an equation to solve for x, the amount of boxes Chang needs

37x = 245

Divide both sides by 37

x = 6.62162

We can round to x = 7 boxes so that Chang will have enough programs. (Because if we say he needs 6 boxes, Chang will only have 222 programs)

PLEASE HURRY ! Find the length of BC.

Answers

Answer:

the length of BC is 9.

x=9

Answer:

here is your answer.....

the length of BC is 9

ANSWER:OPTION C

a plane, initially traveling 150 mi/hr 100 east of north, suddenly enters a region where the wind is blowing at 50 mi/hr from the southwest. What is the plane's resultant direction?

Answers

Answer:

Velocity of plane is 100 mi/hr along northeast direction

Step-by-step explanation:

From the question it is given that Initial velocity of plane is 150 mi/hr along east north direction and wind is blowing at 50 mi/hr along southwest direction

since the velocity of wind and plane is exactly opposite

⇒ relative velocity of plane with respect to wind is given by

[tex]v_r_e_l = v_p - v_w[/tex] where [tex]v_p[/tex] is the velocity of plane = 150mi/hr and [tex]v_w[/tex] = velocity of wind = 50 mi/hr

Therefore, [tex]v_r_e_l = v_p - v_w[/tex]  = [tex]v_r_e_l = 150 - 50 = 100 mi/hr[/tex] alond northwest direction

Therefore, velocity of plane is 100 mi/hr along northeast direction

By working with the velocity vectors, we will find that the direction of motion of the plane is 28.7 south of east.

Working with the velocity vectors:

First, we need to define our coordinate axis, I will define the x-axis as the east and the y-axis as the north.

We know that the plane travels at 150 mi/hr at 100° east of north, notice that if we measure from the positive x-axis, this is equivalent to an angle of -10°.

Then the x-component of the velocity is: 150mi/hr*cos(-10°) = 147.7 mi/hrThe y-component of the velocity is: 150mi/hr*sin(-10°) = -26 mi/hr.

So the vector is:

V =  < 147.7 mi/hr,  -26 mi/hr >

Now we know that the wind blowing at 50mi/hr at southwest, exactly southwest would be at an angle of 225°, so the components of the vector are:

x-component: 50mi/hr*cos(225°) = -35.4 mi/hry-component: 50mi/hr*sin(225°) =  -35.4 mi/hr.

So the vector is:

W = < -35.4 mi/hr, -35.4 mi/hr>

The sum of the vectors gives the total velocity of the plane in the wind, we will get:

V + W =  < 147.7 mi/hr -35.4 mi/hr ,  -26 mi/hr -35.4 mi/hr >

V + W =  <112.3 mi/hr, -61.4 mi/hr>

The direction of a vector <x, y> is given by:

θ = Atan(y/x)

Then in this case the direction of the plane is:

θ = Atan(-61.4 mi/hr/112.3 mi/hr) = -28.7°

So the direction of the plane is 28.7° south of east.

If you want to learn more about vectors, you can read:

https://brainly.com/question/17108011

Columbia Mirror and Glass pays Frank Griffin $2570 monthly salary plus a 6% commission on merchandise he sells each month. Assume Frank’s sells were $77,900 last month.

Answers

Answer:

$7244

Step-by-step explanation:

Step one:

Given data

Columbia Mirror and Glass pays Frank Griffin $2570 monthly salary plus a 6% commission.

If sales is $77,900

Required

Frank's take home

Step two

let us find the expression used to determine Frank's take-home pay

let the total be y

y= 2570+ 6/100*77900

y=2570+0.06*77900

y=2570+4674

y=$7244

In RST , if RT ST , mR = (9x + 2)°, mS = (13x – 18)°, and mT = (17x + 1)°, find x and the

measure of each angle.

Answers

Answer:

x = 5

<R = 47 degrees

<S = 47 degrees

<T = 86 degrees

Step-by-step explanation:

The sum of angles in a triangle is 180degrees

Given triangle RST

<R + <S + <T = 180

9x + 2 + 13x - 18 + 17x +1 = 180

39x - 15 = 180

39x = 180 + 15

39x = 195

x = 195/39

x = 5

Get <R

<R = 9x + 2

<R = 9(5) + 2

<R = 47 degrees

Get <S

<S = 13x-18

<S = 13(5) - 18

<S = 65-18

<S = 47 degrees

Get <T

<T = 17x + 1

<T = 17(5)+1

<T = 85+1

<T = 86 degrees

Are the following lines are parallel, perpendicular,or neither

Answers

Answer:

perpendicular

Step-by-step explanation:

This question only asks about the slope of the line, so the intercept doesn't matter. You can see that the slope of one line is 3x and the other is -3x so they're perpendicular

Mr. Gary wrote the sequence below on the board.
10,5, 0, -5, -10
Identify the value of aj and complete the recursive rule for Mr. Gary's sequence.
aj =
an = an-1

Choices :
0,5,0,-5,-10

Answers

Answer:

a₁ = 10aₙ = aₙ₋₁ - 5

Step-by-step explanation:

Given the sequence:

10, 5, 0, -5, -10

The first term is 10 and the common difference is -5

The recursive formula for the given sequence is:

a₁ = 10aₙ = aₙ₋₁ - 5

Evaluate [(40 + 5) - 3^2]= 9•2

Answers

Answer:

thw answer is 8

Step-by-step explanation:

hoped I helped

Answer For the question:

8

Please help please

53
97
What is the measure of angle x?
o 44 degrees
o 180 degrees
• 30 degrees
150 degrees

Answers

Answer:

30 degrees

Step-by-step explanation:

53+97=150

180-150=30

Write an equation of the line that passes through (5, −1) and is perpendicular to the line y=12x−1.

Answers

Step-by-step explanation:

solution

let,A(5,-1)

given

y=12x-1

or, y = 12 × x + (-1)

comparing it with y=mx+c

we get

x=1

y = c = -1

now

A(5,-1) and B(1,-1)

equation of line is,

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

or, (y+1)/(x-5) = (-1+1)/(1-5)

or, (y+1)/(x-5) = 0/-4

cross multiply

-4y-4 = 0

or, 0=4y+4

or, 4y+4=0 is the required eqn

I think this is the process and answer too.

I hope this helps you

Which of the following are prime factorizations of the number 28? Check all
that apply.

A. 7,4

B. 2, 2,7

C. 7, 2,2

D. 4,7

Answers

Answer:

C. 7,2,2 is the answer

Step-by-step explanation:

hope i helped

Solve the equation.
5х +8 - 3x = -10
ox = -9
ox = -1
ox = 1
ox = 9

Answers



5x+8-3x=-10
combine like terms

2x+8=-10
subtract 8 on both sides

2x=-18
divide both sides by 2

x=-9

is -12.5 greater than -12? will brainlist

Answers

Answer:

No

Step-by-step explanation:

negative numbers work the opposite of how positive numbers work. Think about it like this. -12 is 12 units less than 0 and -12.5 is 12.5 units less than 0 which means that -12.5 is less than -12

Graph g(x) = f(x) + 2

Answers

Answer:

You cannot graph this equation. So there is no solution.

The answer is no solution

Step-by-step explanation:

In the figure, solve for x and y.

Answers

Answer:

y=124°

x=67°

Step-by-step explanation:

For the triangle on the right

180-74-50=56°

then y= 180-56=124°

For the triangle on the middle (that small triangle)

180-85(Head opposite angles)-50=45°

So

x=180-45-68=67°

I’ll pay if you help me I don’t understand this

Answers

Answer:

See Explanation

Step-by-step explanation:

Both vertical lines are parallel to each other. (given)

Similarly, both horizontal lines are also parallel to each other.. (given)

So, quadrilateral obtained by the intersection of both vertical and horizontal lines is a rectangle.

Therefore,

[tex] \angle 7 \cong \angle 6... (1)[/tex]

(corresponding angles)

[tex] \angle 6 \cong \angle 5... (2)[/tex]

(corresponding angles)

From equations (1) & (2)

[tex] \angle 7 \cong \angle 5... (3)[/tex]

(By Transitivity)

[tex] \angle 5 \cong \angle 10... (4)[/tex]

(vertical angles)

From equations (3) & (4)

[tex]\huge \purple {\boxed {\angle 7 \cong \angle 10}} [/tex]

(By Transitivity)

There are several other ways to prove it as well.

louisa starts training for cross country she records how far she can run without stopping each week. what is the equation of the trend line that models the data? if she trains for 4 more weeks how far will she be able to run without stopping

Answers

Answer:

c

Step-by-step explanation:

WILL GIVE BRAINLIEST PLEASE HELP ASAP
What is the value of x?
Enter your answer in the box.
x =

Answers

Answer:

x= -5

Step-by-step explanation:

its kinda complex, i don't know if my answer is right but i think it has to do with propertions

if its right can i have brainliest

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