Answer:
simplified will be 197/3040. as a decimal it is 0.06480263157
Step-by-step explanation:
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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!
in exponent form and in word form it is 10 to the 5th power
Answer:
25π
Step-by-step explanation:
The mathematical expression of the given above is 4/y^-3 where only the denominator is raised to exponent -3. Remember that the expression x^-n may also be expressed as 1/x^n. Thus, for the given, transfer the y^-3 of the denominator to the numerator to give the final answer of 4y³.
