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AnnyKZ [126]
1 year ago
11

Fuji apples cost $3.00 per pound, and Golden Delicious apples cost $2.00 per pound. A childcare center purchases 30 pounds of a

combination of the two types of apples for a total of $80.
A table titled Apples showing Pounds, Cost per Pound and Total. The first row shows Fuji and has 30 minus g, 3, and x. The second row shows Golden Delicious, and has g, 2, and blank. The third row shows Total, and has 30, blank, 80.

Which value could replace x in the table?

30 – g + g
3(30 – g)
30 – g(3)
30 – g + 3
Mathematics
2 answers:
konstantin123 [22]1 year ago
8 0

Answer:

3(30-g)

Step-by-step explanation:

A following table titled Apples showing Pounds, Cost per Pound and Total.

\begin{array}{cccc}\text{Apples}&\text{Pounds}&\text{Cost per Pound}&\text{Total}\\ \\\text{Fuji}&30-g&3&x\\ \\\text{Golden delicious}&g&2&\\ \\\text{Total}&30&&80\end{array}

This means that

1 pound of Fuji apples costs $3

(30 - g) pounds of Fuji apples cost \$(30-g)\cdot 3

Hence, the total is

x=3(30-g)

Nutka1998 [239]1 year ago
8 0

Answer:

3(30-g)

Step-by-step explanation:

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QveST [7]

we know that

the volume of a cone is equal to

V= \frac{1}{3} \pi r^{2}h

in this problem

the radius is equal to

r= \frac{112}{2}= 56ft

1) <u>Find the height of the cone before the storm</u>

Applying the Pythagorean Theorem find the height

h^{2} = l^{2}-r^{2}

l=65 ft

h^{2} = 65^{2}-56^{2}

h^{2} = 1,089

h=33 ft

2) <u>Find the volume before the storm</u>

V= \frac{1}{3}*\pi* 56^{2}*33

V=34,496\pi\ ft^{3}

3) <u>Find the volume after the storm</u>

After a storm, the linear dimensions of the pile are 1/3 of the original dimensions

so

r=(56/3) ft

h=(33/3)=11 ft

V= \frac{1}{3}*\pi* (56/3)^{2}*11

V= 1,277.63\pi\ ft^{3}

<u>4) Find how this change affect the volume of the pile</u>

Divide the volume after the storm by the volume before the storm

\frac{1,277.63 \pi }{34,496 \pi } = \frac{1}{27}

therefore

<u>the answer part a) is</u>

The volume of the pile after the storm is \frac{1}{27} times the original volume

<u>Part b)</u>  Estimate the number of lane miles that were covered with salt

5) <u>Find the amount of salt that was used during the storm</u>

=34,496 \pi - 1,277.63 \pi \\= 33.218.37 \pi \\= 104,358.59\ ft^{3}

6) <u>Find the pounds of road salt used</u>

104,358.59*80=8,348,687.2\ pounds    

7) <u>Find the number of lane miles that were covered with salt</u>

8,348,687.2/350=23,853.39 \ lane\ miles  

therefore

<u>the answer part b) is</u>

the number of lane miles that were covered with salt is 23,853.39 \ lane\ miles

<u>Part c) </u>How many lane miles can be covered with the remaining salt? Round your answer to the nearest lane mile

the remaining salt is equal to 1,277.63\pi\ ft^{3}

1,277.63\pi\ ft^{3}=4,013.79\ ft^{3}

8) <u>Find the pounds of road salt </u>

4,013.79*80=321,103.20\ pounds

9) <u>Find the number of lane miles </u>

321,103.20/350=917.44 \ lane\ miles

therefore

<u>the answer part c) is</u>

the number of lane miles is 917 \ lane\ miles

7 0
2 years ago
Susan is attending a talk at her son's school. There are 8 rows of 10chairs where 54 parents are sitting. Susan notices that eve
kozerog [31]

Answer:

The largest possible number of adjacent empty chairs in a single row is 3

Step-by-step explanation:

The parameters given are;

The number of chairs = 8 × 10 = 80 chairs

The number of parents = 54

Sitting arrangements of parents = Alone or to one other person

Therefore;

The maximum number of parents on a row = 1 + 1 + 0 + 1 + 1 + 0 + 1 + 1 + 0 + 1 = 7

Hence when the rows have the maximum number of parents occupying the seats we have for the 8 rows;

7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 = 56

But there are only 54 parents, therefore, up to the 7th row will have 7 parents while the 8th row will have only 5 parents to make the possible sitting arrangement to be as follows;

7 + 7 + 7 + 7 + 7 + 7 + 7 + 5 = 54

The sitting arrangement for the 8th row is therefore

1 + 1 + 0 + 1 + 1 + 0 + 1 + 0 + 0 + 0

Hence there will be three empty seats in the 8th row making the largest possible number of adjacent empty chairs in a single row = 3.

4 0
2 years ago
Ken grew 4/5 of an inch last year. sang grew3/8 of an inch . who grew more and by how much?
Licemer1 [7]
Sang grew more. and by 17/40 ( I could be wrong)
4 0
2 years ago
How many marbles, each with a volume of 36 cubic centimeters, are needed to fill in a cylindrical vase with a radius of 6 centim
ANEK [815]
The volume of a cylinder can be found using the formula:

π r² h, 

where r is the radius of the circular base and h is the height of the cylinder.

If we plug in the measurements of the cylinder, we get:

π (6²) (28)

When this is simplified, we get that the volume of the cylinder is:

1008π cubic cm

Thus, if each marble has a volume of 36π cubic cm, then to find how many marbles will fit into the vase we must divide the vases total volume by the volume of each marble.

1008π / 36π = 28

Therefore, the answer is D. 28 marbles
7 0
2 years ago
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Sabah has $450 to pay for college textbooks. She expects to pay about $75 per book. Her friend told her that 4 of them can be ch
stiks02 [169]

Answer: There are 10 books in all.

Step-by-step explanation:

Let x be the total number of books.

Since we have given that

Amount he paid for college textbooks = $450

Price of each book = $75

Number of books checked out for free = 4

So, Number of books which are not free would be

\dfrac{450}{75}=6

So, the total number of books would be

x = Number of books which are not free + Number of books which are free

x=6+4=10

Hence, there are 10 books in all.

6 0
1 year ago
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