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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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Answer:

66.24 (This answer does not match to any of the options...)

Step-by-step explanation:

This shape can be divided into 2 different shapes. A triangle and a rectangle.

Area of a Triangle = \frac{1}{2} × base × height

= \frac{1}{2} × 8.8 × 7.8

= 34.32

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= 31.92

Total area = 34.32 + 31.92 = 66.24

                         

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3 years ago
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Step-by-step explanation:

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A boat takes 4 hours to go 20 miles upstream. It can go 32 miles downstream in the same time. Find the rate of the current and t
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Let the boat speed in still water be b.
Let the current speed be c.
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The speed going downstream is 32/4 = 8 mph.
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Adding equations (1) and (2) we get:
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3 years ago
Help please with algebra problem
Strike441 [17]
Number of weekend minutes used: x
Number of weekday minutes used: y

This month Nick was billed for 643 minutes:
(1) x+y=643

The charge for these minutes was $35.44
Telephone company charges $0.04 per minute for weekend calls (x)
and $0.08 per minute for calls made on weekdays (y)
(2) 0.04x+0.08y=35.44

We have a system of 2 equations and 2 unkowns:
(1) x+y=643
(2) 0.04x+0.08y=35.44

Using the method of substitution
Isolating x from the first equation:
(1) x+y-y=643-y
(3) x=643-y

Replacing x by 643-y in the second equation
(2) 0.04x+0.08y=35.44
0.04(643-y)+0.08y=35.44
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0.04y+25.72=35.44

Solving for y:
0.04y+25.72-25.72=35.44-25.72
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Dividing both sides of the equation by 0.04:
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Replacing y by 243 in the equation (3)
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Answers:
The number of weekends minutes used was 400
The number of weekdays minutes used was 243
6 0
3 years ago
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