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3 years ago

Sun Valley and San Jose are 105 km from each other. How far apart would the cities be on a map that has a scale of 1 cm : 15 km?

1 answer:

5 0

Well, if Sun Valley and San Jose are 105 km from eachother, and 1 cm equals 15 km, you would need to multiply 105 by 15.

The product would be 1575.

Therefore, Sun Valley and San Jose are 1575 centimeters (cm) apart.

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3 years ago

The temperature inside a certain industrial machine at time t seconds after startup, for 0 < t < 10, is given by h(t) = 42

frutty [35]

Answer:

$t= \frac{125}{38} s$

Step-by-step explanation:

We are given the temperature inside the machine from startup until 10 seconds later, the formula is:

$h(t)= 42 \cdot t +1 - 4\cdot t +2 (degrees \, C)$

We want to know at what time t the temperature inside the machine will be equal to 128 °C.

So we set:

$h(t)=128$

$42\cdot t+1-4\cdot t+2=128$

Now, we rearrange the equation to keep terms with t on the left hand side and terms without t on the right hand side

$42\cdot t-4\cdot t=128-1-2$

and we simplify:

$(42-4)\cdot t= 128-2-1= 125$

$38 \cdot t = 125$

now it's easy to solve for t:

$t=\frac{125}{38}$

And thus we arrive to the solution.

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3 years ago