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nalin [4]
3 years ago
6

A child's sandbox has a length of 5 metres and a width of 4 metres. A uniform sidewalk is to be built around the sandbox with pa

tio stones. The area of the sandbox is twice as large as the sidewalk. How wide is the sidewalk?A child's sandbox has a length of 5 metres and a width of 4 metres. A uniform sidewalk is to be built around the sandbox with patio stones. The area of the sandbox is twice as large as the sidewalk. How wide is the sidewalk?
Mathematics
1 answer:
igor_vitrenko [27]3 years ago
7 0
5 meters. The area of the sidewalk has to be 10 meters and has to contain the 20 meter sandbox. The total area is thirty meters, so the length and width of the sidewalk is 6x5
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Nicole has 16 nickels and dimes. If the value of her coins is 1.05, how many of each coin does she have?
earnstyle [38]

Answer:

  • 11 nickels
  • 5 dimes

Step-by-step explanation:

If all were dimes, she would have $1.60, which is $0.55 more than she actually has. Replacing a dime with a nickel reduces the total by .05, so there must be .55/.05 = 11 such replacements. This is the number of nickels. The number of dimes makes up the rest of the 16 coins.

Nicole has 11 nickels and 5 dimes.

_____

You can write equations for this several ways. My personal favorite is to use a single variable to represent the number of highest-value coin: d = number of dimes. Then the number of nickels is 16-d and the total value is ...

  0.10d + 0.05(16 -d) = 1.05

  0.05d + 0.80 = 1.05 . . . eliminate parentheses, collect terms

  0.05d = 0.25 . . . . . . . . . subtract 0.80

  d = 0.25/0.05 = 5 . . . . . number of dimes

  16-d = 16-5 = 11 . . . . . . . .number of nickels

__

If you let the variable match the number of nickels, the solution looks a lot like the one described in words, above.

  0.05n + 0.10(16 -n) = 1.05

  -0.05n +1.60 = 1.05

  -0.05n = -0.55 . . . . . . . subtract 1.60

  n = -0.55/-0.05 = 11 . . . number of nickels

  16-n = 16-11 = 5 . . . . . . . number of dimes

__

Comparing these two solutions, you see that we work with negative numbers in the second solution. The reason for choosing the variable to represent the higher-value coin is to keep the numbers positive, as they are in the first solution. (It's no big deal, if you're not bothered by negative number arithmetic.)

3 0
3 years ago
Keith bought 3.4 pounds of peanuts on monday,2.5 pounds on tuesday, and 4 pounds on wednesday. he is going to divide them equall
Mademuasel [1]
3.4+2.5+4=9.9
9.9/3=3.3
That makes 3.3 pounds per friend
4 0
3 years ago
How would you solve the equation x-2=5 by graphing
BartSMP [9]

Answer:

7

Step-by-step explanation:

x-2=5 7-2 = 5 thats how you do it

5 0
3 years ago
Read 2 more answers
A number n is 150% of number m. Is n greater than, less than, or equal to m? Explain your reasoning.
Anit [1.1K]
Greater because it is more than 100 percent 

4 0
3 years ago
Can someone help me please
Kruka [31]

check the picture below.

8 0
3 years ago
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