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deff fn [24]
3 years ago
12

The drawing below shows a row of grocery carts that have been " nested" together. The carts are each 32in. Long. Each cart after

the first adds 11 in. To the length of the row . Show how the length of the row depends on the number of carts. What would be the length of a row of 20 nested carts?
Mathematics
1 answer:
creativ13 [48]3 years ago
4 0

Answer:

Length of Row of n cart  = 11(n-1)+32 inches

The length of row for 20 nested carts will be = 11(20-1) +32 = 209 + 32 =241 inches.

Step-by-step explanation:

The length of one cart is 32 inches.

When you nest two cart, the length of the second cart will be 11 inches, so the total length of two nested cart will be 43 inches. From the this statements we can derive the following.

Length of Row of 1 cart   = (1-1)*11+ 32 =32 inches

Length of Row of 2 cart   =(2- 1)*11+32 = 43 inches

Length of Row of 3 cart   = (3-1)*11 +32 = 54 inches

Length of Row of 4 cart  = (4-1)*11 + 32 = 65 inches

Length of Row of 5 cart  = (5-1)*11+32 = 76 inches

Length of Row of 6 cart  = (6-1)*11+32 = 87 inches

Length of Row of 7 cart  = (7-1)*11+32 = 98 inches

Length of Row of 8 cart  = (8-1)*11+32 = 109 inches

Length of Row of 9 cart  = (9-1)*11+32 = 120 inches

Length of Row of 10 cart  = (10-1)*11+32 = 131 inches

Length of Row of n cart  = (n-1)*11 + 32 =11(n-1)+32 inches

The relationship between the length of the row and the number of carts is given as Length of Row of n cart  = 11(n-1)+32 inches

where n is the number of carts

The length of row for 20 nested carts will be = 11(20-1) +32 = 209 + 32 =241 inches.

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Do the following side lengths form a triangle?<br><br> 6, 18, 14
iren2701 [21]

Answer:

Yes

Step-by-step explanation:

Conditions for the sides to form a triangle is that sum of any two sides should be greater than the third side.

6 + 18 = 24

24 > 14

18 + 14 = 32

32 > 6

6 + 14 = 20

20 > 18

Therefore,

sides 6, 18 and 14 forms a triangle.

5 0
2 years ago
A round silo is 55 feet tall and has a 24 foot radius. How high would a load of 38000 cubic feet of grain fill the silo?
VARVARA [1.3K]

Find the volume of the silo.

The formula is: Volume =  PI x r^2 x h

Replace volume with the volume of grain and solve for h:

38000 = 3.14 x 24^2 x h

38000 = 3.14 x 576 x h

38000 = 1808.64 x h

Divide both sides by 1808.64

h = 38000 / 1808.64

h = 21.01

The grain would be 21.01 feet ( round to 21 feet.)

6 0
3 years ago
A cylinder has a volume of 625 cubic feet and has a radius of 9 feet which of the following equations could be used to find h th
kifflom [539]

Answer:

Divide

Step-by-step explanation:

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625 divide 9 = 69.44

3 0
2 years ago
Mr. Tran needs 96 tiles to cover his kitchen floor. He already has 60 tiles. Tiles come in packages of 4. What is the total numb
AnnyKZ [126]
96-60=36 

4/9√36

+2pts


so the answer is 9
3 0
2 years ago
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A rectangular building lot has a width of 59.0 ft and a length of 132 ft. determine the area of this lot in square meter
vazorg [7]

Answer:

  723.53 m^2

Step-by-step explanation:

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7 0
3 years ago
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