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ale4655 [162]
3 years ago
8

Anthony jogs 11 1/2 miles in 23 mins. If Anthony continues to jog at a steady pace, how many miles will he jog each minute?

Mathematics
1 answer:
frozen [14]3 years ago
5 0

For this case we can raise a rule of three based on Anthony trotting 11 \frac {1} {2} miles in 23 minutes.

11 \frac {1} {2} = \frac {2 * 11 + 1} {2} = \frac {23} {2}

\frac {23} {2} miles -----------> 23 minutes

x ----------------------------------------> 1minute

x = \frac {\frac {23} {2} * 1} {23}\\x = \frac {\frac {23} {2}} {23}\\x = \frac {23} {2 * 23}\\x = \frac {1} {2}

ANswer:

0.5 miles per minute

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3 years ago
by 8:00 a.m., the snack bar had made $3,256 in sales. By noon, the snack bar's total sales were $8,821. On average how much mone
sammy [17]

Answer:

$1,391.25

Step-by-step explanation:

Noon would be 12:00 PM which would be 4 hours ahead of 8:00 AM

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3 years ago
A box contains 3 marbles, 1 red, 1 green, and 1 blue. Consider an experiment that consists of taking 1 marble from the box, then
bazaltina [42]

Answer:

Below.

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7 0
3 years ago
Kay has 28 coins which includes nickels and dimes if the total is 2.35$, how many of each coin does Kay have?
BaLLatris [955]

Answer:

19 dimes and 9 nickels

Step-by-step explanation:

Model the situation using two equations, then solve the system.

let n be number of nickels and d be number of dimes.

n + d = 28     <= This equation is about the number of coins.

0.05n + 0.10d =  2.35   <=This equation is about the worth in dollars.

Rearrange n + d = 28.

n = 28 - d

Now we can substitute this equation into the other one.

Sub n =28-d at the "d" variable for the equation 0.05n + 0.10d =  2.35

0.05n + 0.10d =  2.35

Now there is only one variable.

0.05(28 - d) + 0.10d =  2.35   <=distribute this

0.05(28 - d) + 0.10d =  2.35

1.4 - 0.05d + 0.10d = 2.35   <=combine like terms

1.4 + 0.05d = 2.35    <= begin to isolate d

0.05d = 2.35 - 1.4

0.05d = 0.95

d = 0.95/0.05

d = 19

Now that we know d=19, we can substitute it into any equation.

Choose the equation n + d = 28 because the numbers are easier.

n + d = 28

n + 19 = 28    <=isolate n

n = 28 - 19

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Since n=9 and d=19, Kay has 9 nickels and 19 dimes.

8 0
3 years ago
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Answer:

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2

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