5(2x + 4) = 50 (Given)
10x + 20 = 50 (Distributive Property)
10x = 30 (?)
x = 3 (Division Property)
Fill in the missing reason for the argument shown.

To estimate how many out of 400 seventh graders prefer pepperoni based on the sample, a proportion is used, resulting in approximately 260 students preferring pepperoni pizza.

Ms. Knight wants to throw a pizza party for the seventh graders, and in a random sample, 13 out of 20 seventh graders preferred pepperoni pizza. To estimate how many out of 400 seventh graders would prefer pepperoni, we use a proportion. The proportion of students who prefer pepperoni in the sample is 13/20. To find the number who would prefer pepperoni out of 400, we set up a cross-multiplication:

Solving this equation for x (the number of 7th graders who prefer pepperoni out of 400) gives us:

So, approximately 260 seventh graders would prefer pepperoni pizza out of 400 based on the sample data.

Answer:

7.7

Step-by-step explanation:

Answer: $2.20 is more. The total is $7.70. But the question is what is 40% more, so $2.20.

Step-by-step explanation:

Answer:

87 pages are filled with stamps.

Step-by-step explanation:

We need to know how many stamps are in the album. Since it can hold 500 but is missing 13%, we can say that it is 87% (100-13=87) complete.

500*0.87=435

The album has 435 stamps.

A page can hold 5 stamps. Thus, 435/5=87

To find out how many stamp album pages are filled, calculate the total number of album pages, determine the number of empty stamps at 13%, and subtract the number of empty pages from the total to get 87 filled pages.

The mathematics problem presented asks how many pages of a stamp album are filled with stamps if 13% of the album is empty. To solve this, we need to calculate the total number of stamps that can fit in the album and determine how many stamps equivalent to 13% of the album are missing. With 500 stamps able to fit in the album and each page holding 5 stamps, we can first find out the total number of pages in the album.

Total number of pages = Total stamps / Stamps per page = 500 / 5 = 100 pages

Next, we calculate 13% of the total number of stamps to find out how many stamps are missing:
Number of empty stamps = Total stamps [tex]\times[/tex] 0.13 = 500 [tex]\times[/tex] 0.13 = 65 stamps

Now, we find out the number of empty pages:
Number of empty pages = Empty stamps / Stamps per page = 65 / 5 = 13 pages

Thus, the number of filled pages:
Total pages - Empty pages = 100 - 13 = 87 filled pages.

Answer:

133/3=         147/5 =

  44              29.7

        44-29.7

14 pies can be made.

133/4              147/2

33.25               73.5

        73.5-33.25

40 jars of apple sauce can be made

(I rounded my decimals)

Step-by-step explanation:

3x+4y=133

5x+2y=147

3x+4y=133

-10x-4y=-294

-7x=-161

x=23

3(23)+4y=133

69+4y=133

64=4y

y=16

23 pies and 16 jars of apple sauce

Answer:

The centre is (-11, -6) and the radius = 18 units.

(Option 4).

Step-by-step explanation:

If we compare this with the standard form

(x - h)^2 + (y - k)^2 = r^2

- we see that the center is (-11, -6) and the radius id √324.

The center of the circle is at (−11, −6) and the radius is 18 units.

The equation of a circle in general form is (x - h)^2 + (y - k)^2 = r^2 where (h, k) are the coordinates of the center of the circle and r is the radius. Given the equation (x + 11)^2 + (y + 6)^2 = 324, we can see that it is in a similar form but with a positive sign in the brackets. This implies that the center of the circle is at (−11, −6) and that the radius is the square root of 324, which is 18 units.

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Answer: 2m(3m - 4n + 2)

Step-by-step explanation: Factor 4m - 8mn + 6m^2

                                                         6m^2 - 8mn + 4n

                                                         = 2m(3m - 4n + 2)

Answer:

190 ft^2

Step-by-step explanation:

Area of base of cube = 5x5x2

Area of sides of cube = 5x4x4

Area of triangle top = 5x6/2 then x4

Hope this helps! Good luck :)

Answer:

pretty sure its 49ft

Step-by-step explanation:

because 5x5 =25 and 6x4=24 and that equals 49ft

90⁰ counterclockwise

Answer:

c = 4.24

Step-by-step explanation:

again, you have a^2+b^2=c^2

this time, all you have to do is substitute.

3^2+3^2=c^2

9+9=c^2

18=c^2

take the square root of both sides, you get c=(18)^1/2 or about 4.24.

Answer:

it is 2, 4, AND 5:)

Step-by-step explanation:

Final answer:

The cost of a single roll of toilet paper is $0.50, calculated by dividing the total cost of $48 by the number of rolls which is 96.

Explanation:

To find the cost of a single roll of toilet paper, we need to divide the total cost by the number of rolls. Craig bought 96 rolls of toilet paper for $48.

To calculate the cost per roll, we use the formula:

Cost per roll = Total cost / Number of rolls

So,

Cost per roll = $48 / 96 rolls

Cost per roll = $0.50 per roll

Therefore, the cost of a single roll of toilet paper is $0.50.

Answer:

43

Step-by-step explanation:

Answer:

Answer is 43.

Step-by-step explanation:

First off the "of" in the question implies that the two are multiplying but before you do that your expected to get 86 percent into decimal form which is .86 once that is done you can multiple that by 50 giving you 43

Answer:

120,500

Step-by-step explanation:

300×400=120,000

120,000+500=120,500

300 × 400= 120000

120000+500= 120500

Answer:

8, 2, -4, -10.

Step-by-step explanation:

Each term (except the first one) is obtained by subtracting 6 from the previous one - that is what an = a(n -1) -6 means.

First term = a1 = 8 , so the second term = 8-6 = 2.

The first 4 terms are 8, 2, -4, -10.

This is an arithmetic sequence as there is a common difference of -6.

1. Find the surface area

Side = 5 cm

Surface area = 6s²

= 6 × 5²

= 6 × 25

= 150 cm² (C)

2. Find the surface area

Side = 10 in

Surface area = 6s²

= 6 × 10²

= 6 × 100

= 600 in² (C)

Hope it helpful and useful :)

the y int of the function y = -2x + 8 is 8 or (0,8) because in y = mx + b form, the b represents the y int.

the graph...the y int is where the line crosses the y axis...and that is (0,8) or 8

Answer: 1

Step-by-step explanation:

(16+12x)=28

Since 4is a common factor in both terms we take out 4

4(4+3x)=28

Now take 4 to the other side

4+3x = 28/4 = 7

Similarly

3x = 7-4 =3

We end up with 3x=3

So X = 1

Answer: $60.00 (5 books), $60.00 (6 books), $32.00 (4 books) is the data set. The answer, when used in a calculator, is 3.3777777777. From this result, I would say B or $3.25 per book.

The correct answer is option B) $2.75.

The mean formula is given as the average of all the observations. It is expressed as Mean = {Sum of Observation} ÷ {Total numbers of Observations}.

By applying the formula

= 40/15

≅ 2.75

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words, it is the sum divided by the count.

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Answer:

BC=15.01

Step-by-step explanation:

Line segment BC can also be represented by '?'. To solve for BC, find the value of '?'

Use the tangent ratio:

[tex]tangentX=\frac{opposite}{adjacent}[/tex]

Because you need the value opposite the given angle and you are given the length of the side adjacent the given angle (hypotenuse does not count as the adjacent side, EVER (btw)). Let 65° be X and let x replace'?'.Insert the appropriate values:

[tex]tan65=\frac{x}{7}[/tex]

Solve by isolating x. Multiply 7 to both sides:

[tex]7*(tan65)=7*(\frac{x}{7})\\\\7*tan65=x\\\\x=7*tan65[/tex]

Insert this equation into a calculator:

[tex]x=15.0115...[/tex]

Round to the nearest hundredth:

[tex]x=15.01[/tex]

So, BC is 15.01

Finito.

Answer:

1 cup = 8 ounces

21 x 8 = 168

168 ounces

Step-by-step explanation:

Answer:

168

Step-by-step explanation:

1 cup equals 8 fluid ounces

Just multiply 21 by 8 and you get your answer

Answer:

Step-by-step explanation:

Answer:

I am so sorry

Step-by-step explanation:

I dont really know what it is but I think it is 21.98 you do 7 times 3.14

Answer:

triangle

Step-by-step explanation:

Answer:

615,079

Step-by-step explanation:

I hope this is correct! This is the one I can asnwer! I hope this helps. Also if you use The desmos scientific calculator it may help you with  a lot of questions you may have!

Answer:

96 5/8

Step-by-step explanation:

because 96+5/8 is 96 5/8

1. decimal point 2. decimal 3. hundredth 4. 0.4 5. 1, 0.03 6. 80/100 0.80 7. 0.50 50/100 8. 60/100 0.60 the rest are easy

Answer:

A. yes

B. yes

C. no

Step-by-step explanation:

The coordinates of each point are (x, y).

J (-2, -3)

K (0, 2)

L (1, -4)

After being scaled by 1.5 about the origin, the coordinates are (1.5x, 1.5y).

J (-3, -4.5)

K (0, 3)

L (1.5, -6)