What is the value of x

Step-by-step explanation:

In the given problem, there are two plans that can be represented with a linear function.

A = total monthly cost of Plan A for every x number of movies that Sadie watches per month

Slope: $3 = The additional cost for every x number of movies watched per month

Y-intercept: $21 = The monthly cost of Plan A  

Combining these elements together, we can establish the following linear function: A(x) = 3x + 21

B = total monthly cost of Plan B for every x number of movies that Sadie watches per month

Slope: $1.50 = The additional cost for every x number of movies watched per month

Y-intercept: $27 = The monthly cost of Plan B    

Combining these elements together, we can establish the following linear function: B(x) = 1.5x + 27  or  [tex]\displaystyle\mathsf{B(x)\:=\:\frac{3}{2}x\:+\:27}[/tex].

In order to graph Plan A, start with plotting the y-intercept, (0, 21). The y-intercept is the point on the graph where it crosses the y-axis. Then, use the slope, m = 3 (rise 3, run 1), to plot the other points on the graph.

Similarly for Plan B, start with plotting the y-intercept, (0, 27).

Then, use the   [tex]\displaystyle\mathsf{slope (m)\:=\:1.5\:or\:\frac{3}{2}}[/tex]  (rise 3, run 2), to plot the other points on the graph.

Attached is the graphed linear functions, A(x) and B(x). The two lines intersect at point, (4, 33), which means that the total cost of Plans A and B will be the same at $33.

The attached graph also shows that when 0 ≤ x < 4, Plan A is cheaper than Plan B.  The interval notation is: [0, 4).

This implies that when Sadie watches 0 - 4 movies per month, she will pay lesser in Plan A than Plan B.          

The cook needs to add 21.333 ounces of water to obtain a 3 % concentration.

In matter of units, concentration equals to to the mass of cider vinegar ([tex]m_{c}[/tex]) divided by mass of water ([tex]m_{w}[/tex]), both expressed in ounces. A reduction on concentration implies that mass of cider vinegar remains constant while mass of water is increased.

Now we derive expressions for the initial and final concentrations for cider vinegar:

Initial concentration

[tex]c_{i} = \frac{m_{c}}{m_{w}+m_{c}}[/tex] (1)

Where:

Final concentration

[tex]c_{f} = \frac{m_{c}}{m_{c}+m_{w}'}[/tex] (2)

Where:

Then, if we know that [tex]c_{i} = 0.05[/tex], [tex]c_{f} = 0.03[/tex], [tex]m_{w}+m_{c} = 32\,oz[/tex] and [tex]m_{c}+m_{w}' = 32 + x[/tex], then the addition of water is:

[tex]0.05 = \frac{m_{c}}{32}[/tex] (1b)

[tex]0.03 = \frac{m_{c}}{32+x}[/tex] (2b)

Then we eliminate [tex]m_{c}[/tex] in (1b) and (2b):

[tex]0.05\cdot 32 = 0.03\cdot 32 + 0.03\cdot x[/tex]

[tex]0.02\cdot 32 = 0.03\cdot x[/tex]

[tex]x = 21.333\,oz[/tex]

The cook needs to add 21.333 ounces of water to obtain a 3 % concentration.

To learn more on concentrations, we kindly invite to check this question: https://brainly.com/question/492238

Answer:

See below!

Step-by-step explanation:

I don't think you included the entire question, but maybe you were just stuck on this part, so I'm happy to help!

You include variables in a math equation to give meaning to a word, phrase, or situation in a shortened way.

For example, if I say, "I run 2 miles every day. How many miles will I run in x days?", your equation should look like this:

miles=2x

Notice that the 2 is a number, because that is the one thing that we know for sure. We know, no matter what, I run 2 miles a day. However, we don't know for how many days. So, for this, we need to put something as a sort of placeholder until we are told how many days.

Variables can be any letter, from A-Z! It is reccomended to stay with letters that avoid s, and i(among others) to make sure that you are using letters that can't be mistaken as letter on accident. For example, s could look like 5. In some cases, i could look like 1.

For your question, you could use:

#of cars=x

#of trucks/vans=y

Answer:

i believe the answer to this is a total of 300 people because you multiply the ten percent into the 30 people which factors out some numerical values, so then your answer as i just said is 300 people in total attended the game.

Step-by-step explanation:

Answer:

$39.36

Step-by-step explanation:

Can find how much the sales tax cost:

32 x 0.08 = $2.56

Can also find out how much he tipped:

32 x 0. 15 = $4.80

Total = $32 + sales tax + tip

Total = $32 + $2.56 + $4.80

Total = $39.36

Answer:

$39.36 in total

Step-by-step explanation:

32×0.08= 2.56

32×0.15= 4.8

4.8+2.56= 7.36

32+7.36=39.36

Answer:

D) 53.1

Step-by-step explanation:

we can use the soh,cah,toa rule

sin = opp/hyp

cos = adj/hyp

tan = opp/adj

we would use tan because the opposite side of the angle is revealed as 12

the adjacent side of the angle is revealed as 9

there for

tan(theta) = 12/9

theta = arctan(12/9) = 53.1

arctan = tan^-1 = inverse of tan

The slope of the line 5/7.

How do i know this?

Well the slope of a line is considered as rise/run.

So we start at the beginning and then go up until the line intersects a corner again. Then we mark that down.

Go back to the beginning and count how many times it takes to reach the height of the intersected corner. So it is 5.

Then we go to the right until we reach the point. And it takes 7 squares to reach it, so the slope it 5/7.

Your welcome! :D

It is right but what's the full question

Answer:

750

Step-by-step explanation:

Answer:

a rash

Step-by-step explanation:

Answer:

1) 1600cm² 2 )4095cm² 3) 550cm²

Step-by-step explanation:

Because area is length times width, you can use that on these problems.

1) 40*40=1600

2)65*63=4095

3)25*22=550

Answer:

x = 10

Step-by-step explanation:

8x - 12 and 6x + 8 are corresponding angles and are congruent , then

8x - 12 = 6x + 8 (subtract 6x from both sides )

2x - 12 = 8 ( add 12 to both sides )

2x = 20 ( divide both sides by 2 )

x = 10

Based on these calculations of driving 70 miles per hour for 4 hours, you must multiply 70 by 4.

70 x 4 = 280

For four hours of driving, the family drove 280 miles.

Answer:

hey. use cymath. its easier and youll me able to answer more questions like this. it also shows you the whole process. here look:

Step-by-step explanation:

Step-by-step explanation:

hope it will help you.....

Answer:

Corresponding Angles and Alternate Exterior

Step-by-step explanation:

The angles are corresponding if same side in a parallel.

This is because as the lines are parallel to one another that means that the next following angle measure is the same in approach.

For the other problems if they are opposite sides from one another.

They are called alternate exteriors.

Answer:

pie means 3.142

Step-by-step explanation:

Answer:

In decimal form, the value of pi is approximately 3.14. It looks like this π.

Hope that helps. x

Answer:

[tex]1\frac{1}{3}[/tex]  

Step-by-step explanation:

Write a proportion comparing the Oliva Oil to Vinegar = Oliva Oil to Vinegar.

[tex]\frac{3/4}{1/2} = \frac{2}{?}[/tex]

3/4 ? = 2(1/2)

3/4? = 1

  ? = 1 ÷ 3/4

  ? = 1 × 4/3

  ?  = 4/3

  [tex]? = 1\frac{1}{3}[/tex]

this equation is error because of -7and 4y two this is not have + or - that's why

[tex]2^{100} = 16^{25} =32^{20} =1024^{10}[/tex]

P/s: [tex]2^{100} = 2^{4.25} =16^{25}[/tex] ......

ok done. Thank to me :>

Answer: The answer is in the first image.

Explanation: The explanation is in the second image.

Answer:

106 degrees

Step-by-step explanation:

180 degrees in a triangle divided by three

60 minus 23 equals 37

37 times 2 is 74

180 minus 74 equals 106

Hope it's right :)

Answer:

1. the plastic will be 0.48 cm thick after 3 folds

Step-by-step explanation:

x = 1/2

(8x-3) / x = 1 / (1/2) -> 1 x 2 = 2

So, when x = 1/2, (8x-3)/x = 2.

Answer:

1 apple

Step-by-step explanation:

2-1=1

Have a great day or night wharever you are!

The number of apples you will have left if your sister takes away one is; 1 apple

We are told that you have 2 apples.

Now, if you have 2 it means that anyone taken away from you would be subtracted from the one that you have.

This means that;

Number of apples you have left if your sister takes one is; 2 - 1 = 1 apple.

Read more on subtraction at; https://brainly.com/question/17301989

Answer:

The ninth piece is 0.5 feet long

Step-by-step explanation:

176 divided by 9

Hope this helps!

Answer:

This is what I got 10(a+1)

I don't think you need this but there you go.

Step-by-step explanation: