You buy some 300-yen pieces of cake and some 350 yen pieces of cake. If you buy 10 pieces of cake and pay 3300 yen, how many of each kind did you buy?

Answer:

The indifference point is 8 classes.

Step-by-step explanation:

Giving the following information:

Option 1:

$40 joining fee and $20 per class

Option 2:

$0 joining fee and $25 per class

First, we establish the total cost formulas:

Option 1= 40 + 20x

Option 2= 0 + 25x

x= number of classes

Now, we equal both formulas and isolate x:

40 + 20x = 25x

40=5x

8=x

The indifference point is 8 classes.

Prove:

Option 1= 40 + 20*8= $200

Option 2= 0 + 25*8= $200

Answer:

31.42

Step-by-step explanation:

Answer:

36.37%

Step-by-step explanation:

30 - 22 = 8

100% * 8/22

800/22

36.37%

Answer:

The other equation is [tex]x + y = 21[/tex]

The length and width are 13 and 8

Step-by-step explanation:

Given

[tex]Perimeter = 42[/tex]

[tex]y = x - 5[/tex]

Required

What is the other equation for the length and width?

x and y represents the length and width respectively.

The perimeter of a rectangle is calculated using:

[tex]Perimeter = 2 * (length + width)[/tex]

In this case, it is:

[tex]Perimeter = 2 * (x + y)[/tex]

Substitute 42 for perimeter

[tex]42 = 2 * (x + y)[/tex]

Divide through by 2

[tex]21 = x + y[/tex]

[tex]x + y = 21[/tex]

Required: The values of length and width

We have that:

[tex]y = x - 5[/tex]

[tex]x + y = 21[/tex]

Substitute x - 5 for y in the second equation

[tex]x + x - 5 = 21[/tex]

[tex]2x - 5 = 21[/tex]

Add 5 to both sides

[tex]2x - 5 + 5 = 21 + 5[/tex]

[tex]2x = 26[/tex]

Divide through by 2

[tex]x = 13[/tex]

Substitute 13 for x in [tex]y = x - 5[/tex]

[tex]y = 13 - 5[/tex]

[tex]y = 8[/tex]

Hence, the length and width are 13 and 8 respectively

Answer:

The graph on the right.

Step-by-step explanation:

The graph has a higher unit rate because it's slope is 48.5, as opposed to the equation on the left which has a slope of 23.5

Answer:

1. Slope = -2 , y-intercept = 1

2. Slope = 5 , y-intercept = -15

3. Slope = 1.5 , y-intercept = -2

4. Slope = -3 , y-intercept = 9

Step-by-step explanation:

1. The slope is -2 because using the formula y₁-y₂÷x₁-x₂ you can use the points given to you to get -2. It doesn't matter which one you pick as y1 or y2, just make sure you keep it consistent with the x numberings. I did 1--3 (which becomes 1+3) and 0-2. Those equal 4/-2 which gives you -2. Use these same steps for all of them, but with ones that don't have the points given, just pick two that are whole numbers and not decimals. For finding the y-intercept, just find the point that is on the y axis line. It is given on number one as (0,1). So, the y-intercept is 1. Hope this helps!

9514 1404 393

Answer:

  C.  graph Y

Step-by-step explanation:

Starting with f(r) = -3r +3, the inverse function can be found from ...

  r = f(y)

  r = -3y +3

  r -3 = -3y

  (r -3)/-3 = y

  y = -1/3r +1

The inverse function will have a slightly negative slope and a y-intercept of 1. This matches graph Y.

Answer:

9 3/2 pounds or 10.5 pounds

Step-by-step explanation:

4 2/3 x 2 1/4 = 14/3 x 9/4 = 126/12 = 21/12 = 9 3/2 or 10.5

Answer:

10.5 pounds

Step-by-step explanation:

4 2/3 × 2 1/4 = 10.5 or 10 1/2

Answer:

$0.19 per pencil

Step-by-step explanation:

$5.99 divided by 30 = 0.19

correct answer is d x=4 y=2

Answer:

d (4,2)

Step-by-step explanation:

Answer:

about 14 chairs

Step-by-step explanation:

All you do is do 95 divided by 7, which is 13.57142857142857.... If your teacher would want you to round, then answer with 14, but if they wouldn't, I would just do 14

Answer:

16 inches

Step-by-step explanation:

What we know:

The equation y = 3/4x shows the diameter of a trees in x inches gained in y years.

We know y, which is 12, so this becomes x = 4/3y (or x = 4y/3)

x = 4(12)/3

x = 48/3

x = 16

The predicted diameter will be 16 inches.

(Just put 16 in the blank.)

Answer:

Step-by-step explanation:

A(-1,6)

the solution is the intersection of the 2 graph because in that point both equations are true

Answer:

2

Step-by-step explanation:

cause

Answer:1,036

Step-by-step explanation:I did this in my head lol tell me if it’s wrong tho

The correct answer is 960 yards

Explanation:

The first step to answer this question is to calculate the distance Alan traveled. Additionally, to calculate this use the time (90 seconds) and the speed (32 ft/s) by considering distance equals speed multiplied by time.

D (Distance) = s (speed) x t (time)

D = 32 ft/s x 90 s

D= 2880 ft

This means the total distance was 2880 feet; however, the answers are provided in yards and the feet need to be changed to yards. Follow this process:

1 foot = 0.3333 yards

2880 ft x 0.3333 yards = 959.99 yards which can be rounded as 960 yards.

Answer:

C) 13

Step-by-step explanation:

Ok so

8√3

Answer:

No, there is 3 times the amount of not yellow chalk than yellow chalk. This proves that the friend is wrong because this exceeds the given total amount of chalk, being 12. If the friend was correct there would be 24 pieces of not yellow chalk and 32 pieces of chalk in total.

The correct pieces of not yellow chalk is 9. The correct pieces of yellow chalk is 3. this can be solved by dividing the total, 12, by 4, because that is the total amount of units. This solves for one unit. Once you know the value of one unit, you can find the total of each type of chalk.

Answer:

7

Step-by-step explanation:54x=60x-42, -6x=-42, divide both sides by six then you get 7

Answer:

Step-by-step explanation:

If the no of standard version downloads = 230

Then higher version is twice than that = 460

Total = 2.1 x 230 + 4.9 x 460 = 2737

The statement that the two triangles are similar based on the given figure is false.

Two triangles are said to be similar if the triangles are of the same shape but different size. The angles of the triangle will be equal and the sides are proportional.

So, we know that two similar triangles will have all the corresponding angles equal to each other.

Given two triangles EFG and HJK.

Also, given that,

EG = 8 and HK = 16

EG/ HK = 8/16 = 1/2

∠E = ∠H = 90°

There are no other information given.

If one more corresponding angles are equal, we can use ASA, AAS or AA property, and if one more corresponding side are proportional, we can use SAS postulate.

In this case, we cannot say two triangles are similar.

Hence the statement is false.

Learn more about Similar Triangles here :

https://brainly.com/question/14926756

#SPJ7

Step-by-step explanation:

3/5 of the book = 75 pages

5/5 of the book = 75 * (5/3) = 125 pages

Hence there are 125 pages in the whole book.

Answer:

Concept: Data Analysis

Answer:

24

Step-by-step explanation:

since 40% of 60 is 24 then the answer is 24 because garfield catches 40% of 60 of the files he sees

Answer:

An=125(1/5)^n-1

Step-by-step explanation:

r=common ratio

A1= first term in the sequence

I hope this helps some

The given series 125, 25, 5, ... is a geometric progression thus the general term will be An=125[tex](\frac{1}{5}}) ^{n-1}[/tex].

A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.

For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.

The given GP series is 125, 25, 5, ...

First term a = 125

Common ratio = 25/125 = 1/5

The nth term will be given as ar^(n-1)

Thus, An=125[tex](\frac{1}{5}}) ^{n-1}[/tex].

Hence "The given series 125, 25, 5, ... is a geometric progression thus the general term will be An=125".

For more information about the geometrical progression,

brainly.com/question/4853032

#SPJ2

Answer:

Step-by-step explanation:

We use a proportion to solve this.

8/3 = 12/x

Cross-multiply to get:

8x = 36

x = 4.5

The answer to the question is 4.5

Answer:

y = 2x - 5

Step-by-step explanation:

Let us consider the points (- 2, - 9) & (0, - 5)

Equation of line in two point form is given as:

[y-(-9)]/[-9-(-5)] = [x - (-2)]/[-2 - 0]

(y + 9)/(-9 +5) = (x + 2)/ (-2)

(y + 9)/(-4) = (x + 2)/(-2)

(y + 9)/(2) = (x + 2)/(1)

(y + 9) = 2(x + 2)

y + 9 = 2x + 4

y = 2x + 4 - 9

y = 2x - 5

This is the required function.

Answer:

5/2

Step-by-step explanation:

The 5^-3 and 5^6 cancel out to be 5^3. Then the 5^3 cancels out with the 5^2 in the denominator and leaves you with just a 5. The 2^2 makes the 2^3 in the denominator just 2. So, you are left with 5/2! Hope this helps.

Answer:

342

Step-by-step explanation:

50+4x=y

x=73