As part of Kayla's exercise program, she either runs 6 miles/day or rides her bike 10 miles/day. Her new goal is to cover a mini
2 answers:
Response:
Kayla will manage to achieve the 200 miles distance by biking for 11 days and running for 15 days.
Detailed explanation:
The days Kayla runs will be denoted as x.
The days Kayla rides the bike will be noted as y.
Her running speed is 6 miles per day.
The distance she runs in x days equals 6 miles/day × x.
Her biking speed is 10 miles per day.
The distance she bikes in y days equals 10 miles/day × y.
Kayla's required distance is 200 miles.
With at least 15 days of running, substitute x = 15 days in the earlier equation:
y = 11 days.
Kayla will manage to achieve the 200 miles distance by biking for 11 days and running for 15 days.
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The options presented are:
(1) division property of equality
(2) factoring the binomial
(3) completing the square
(4) subtraction property of equality
Response: (2) factoring the binomial
Step 1:
Step 2:
In step 2, 'a' is extracted from . Upon factoring out 'a', we divide all terms by 'a', resulting in
.
Step 2 involves the binomial factorization process.