Answer:
245 miles
Step-by-step explanation:
To complete this, you want to use the unit conversion technique in fraction form. The units for the numerator of the first fraction (thing you want to convert) should match the units of the denominator in the multiplying fraction.
The equation would be
12 ÷ 1/3 =
12 x 3/1 =
12 x 3 =
36 miles
B = block p = park
2b + p = 10 min 2 runs around the block takes 10 minutes
2b + 3p = 22 min 2 runs around the block plus 3 runs around the park takes 22 minutes
To solve, I will use substitution. First, I will divide the first equation by 2 to get b by itself and subtract p from both sides to get b by itself. Then, substitute 5 - 1/2p in for b in the second equation because they have equal values. Then, subtract 10 from both sides to eliminate it. Divide by 2 to both sides to get 'p' by itself.
2b + p = 10 min ---------→b + 1/2p = 5 ----------→ b = 5 - 1/2p
2(5 - 1/2p) + 3p = 22 ---------→ 10 -p + 3p = 22 --------→ 10 + 2p = 22
10 + 3p = 22 ----------→ 2p = 12
2p = 12 -------------→ p = 6
It takes 6 minutes to jog around the park
Hope this helps!
Step-by-step explanation:
Let's make the number we're finding to be 
. So, it says that it will be divided by 4 and then added by 12 if we want this in algebraic expression it will be 
. It's also telling us that that expression is the same thing as our number divided by 3 and subtracted by 5. If we want an expression out of it it well be 
. Since they are the same, we have the equation below.
All we have to do now is to find .
<h3>Answer:</h3>
Our number must be 
. I think
