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Basile [38]
3 years ago
8

The middle school dance team had 2 separate car washes on Saturday to raise money for new uniforms. The Main Street location rai

sed $50 more than the Back Street location. How much did the dance team raise at each location if they raised a total of $980?
Mathematics
1 answer:
rosijanka [135]3 years ago
6 0

Answer:

$465 at Back Street

$515 at Main Street

Step-by-step explanation:

980 (total) - 50 (the difference between the two) = 930

930/2 = 465 (back street)

465 + 50 (the difference) = 515 ( main street)

CHECK: 465 + 515 = 980

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Step-by-step explanation:

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Mamont248 [21]

Answer:

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Step-by-step explanation:

First, we need tot find a general expression for the amount of caffeine remaining in the body after certain time. As the problem states that every hour x percent of caffeine leaves the body, we must substract that percentage from the initial quantity of caffeine, by each hour passing. That expression would be:

A= C_{0}(1-x)^t\\t: time \ in \ hours\\x: percentage \ of \ caffeine\ metabolized\\

Then, to find the amount of caffeine metabolized per hour, we need to differentiate the previous equation. Following the differentiation rules we get:

\frac{dA}{dt} =C_{0}(1-x)^t \ln (1-x)\\\frac{dA}{dt} =100*0.88\ln(0.88)\\\frac{dA}{dt} =-11.25 \frac{mg}{h}

The rate is negative as it represents the amount of caffeine leaving the body at certain time.

3 0
3 years ago
john paid $99 for one algebra book and two geometry book. the cost of a geometry book is $3 less than a algebra book. substituti
tia_tia [17]

Answer:

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Step-by-step explanation:

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3 years ago
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