1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
A rectangle has a length that is 5 inches greater than its width, and its area is 104 square inches. The equation (x + 5)x = 104
mina [271]
1. Regroup terms
x(x+5)=104

2. Expand
x^2+5x=104

3. Move all terms to one side
x^2+5x-104=0

4. Factor x^2+5x-104
(x-8)(x+13)=0

5. Solve for x
x=8 or x=-13
Since x<0 is not possible in this case, x=8

6. Finding the dimensions
We know that one side has to be x+5, and now that we know x:
8+5=13
13*8=104

The dimensions are 13 and 8, have a nice day :D
8 0
3 years ago
Read 2 more answers
My sister is half my age when I was 6 now im 70 how old is she?​
TEA [102]

Answer:

your sister would be 35

Step-by-step explanation:

5 0
2 years ago
Write an equation to represent the situation below. Then explain what each part of the equation represents (the variables, the c
gizmo_the_mogwai [7]
Yes i do see this yes
3 0
3 years ago
A seat on a Ferris wheel is level with the center of the wheel.The diameter of the wheel is 200 feet. Suppose the wheel rotated
Zanzabum

Answer: 86.6ft closer to the ground.

Step-by-step explanation:

The diameter of the wheel is 200ft

Then the radius, half of the diameter, is: r = 200ft/2 = 100ft.

Initially, the seat is at the same level that the center of the wheel.

And the distance between the center of the wheel and the bottom is the radius.

Then the initial position is at an angle of 0° from the x-axis. (where the (0,0) of this axis coincides with the center of the wheel=

Now, the wheel rotates 60°. (downwards, so we actually could use -60° measuring from the positive x-axis)

And thinking in this as a triangle rectangle, where the opposite angle is 60°, we can calculate the displacement in the vertical direction as:

y = sin(-60°)*R

y = sin(-60°)*100ft = -86.6ft

So the seat is 86.6ft closer to the ground.

6 0
3 years ago
Read 2 more answers
Rajan climbed to a height of 10 ft from the bottom of a climbing wall. He then climbed up an additional 5 ft. What must he do to
max2010maxim [7]
I'm assuming this is a Pythagorean theorem problem. If so the answer would be √125
4 0
3 years ago
Read 2 more answers
Other questions:
  • Ou have a wireless phone plan that costs $25 per month. You must als
    10·1 answer
  • Edwin needs to buy a car, a truck, and a motorcycle for his shipping business. He wants the car to be red or yellow; the truck t
    9·2 answers
  • What contains genetic material but is not classified as living?
    7·2 answers
  • DO NOT KNOW HOW TO SOLVE HELP ASAP
    11·1 answer
  • Wuestion 19
    6·1 answer
  • What is the definition of a function
    13·1 answer
  • What’s the square root of 15
    8·2 answers
  • HELP!!!!!!!!!!!!!!!!!!!!
    9·1 answer
  • Math<br> solve this pls lol
    13·1 answer
  • What will be the output of the program? public class SqrtExample { 03 03 O NaN O Compilation fails public static void main(Strin
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!