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Hoochie [10]
3 years ago
10

You are trying to decide between two job offers. You find the best option is to take the highway to work. That route is

Mathematics
2 answers:
grandymaker [24]3 years ago
6 0

Answer:

32.5 miles

Step-by-step explanation:

The average speed is 65 miles per hour.

You want to keep your commute within 30 minutes, which is HALF AN HOUR.

THus, if you can go 65 miles AN HOUR, in HALF AN HOUR, you can go max, HALF OF THAT!!

So, \frac{1}{2}*65=32.5

Thus, you can go 32.5 miles, max

Alja [10]3 years ago
4 0

Answer:

The farthest distance would be 32.5 miles

Step-by-step explanation:

Given,

Speed = 65 miles per hour,

If t represents the time ( in hours ) taken in travelling,

Since, time has to commute down less than 30 minutes,

Also, 1 hour = 60 minutes,

\implies 1\text{ minute}=\frac{1}{60}\text{ hour}

\implies 30\text{ minutes}=\frac{30}{60}=\frac{1}{2}\text{ hour}

Thus,

t\leq \frac{1}{2}

i.e. the highest time taken = 1/2 hours,

We know that,

Distance = speed × time,

∵ Distance ∝ time,

⇒ Distance will farthest for largest time taken,

Hence, the farthest distance = 65\times \frac{1}{2} = 32.5 km.

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What is 11% of 96 students
zaharov [31]

Answer:

8.7

Step-by-step explanation:

8.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.7

7 0
3 years ago
Charlotte's curtain company is making curtains for a local hotel. She wants each curtain to be 36 inches long. At the fabric sto
nekit [7.7K]

Answer:

<em>159 feet of fabric</em>

Step-by-step explanation

We are told that 1 curtain is 36inches long

Since 1 foot = 12inches

x foot = 36inches

Cross multiply;

12 * x = 36

12x = 36

x = 36/12

x = 3

Hence 36inches is same as 3 feet

If Charlotte's curtain company wants to make 53 curtains, the length of 53 curtain is expressed as;

1 curtain = 3feet

53 curtain = y

y = 53 *3

<em>y = 159 feet</em>

<em>Hence she will need 159 feet of fabric</em>

<em> </em>

8 0
3 years ago
What is 71/5 written as a percent
ratelena [41]
Percent (%) = per 100

7 1/5 = 36/5 = 720/100 = 720%
3 0
3 years ago
What is the derivative of y with respect to x if y = 2/X4
zepelin [54]
You're correct, the answer is C.

Given any function of the form y=x^n, then the derivative of y with respect to x (\frac{dy}{dx}) is written as:
\frac{dy}{dx}=nx^n^-^1

In which n is any constant, this is called the power rule for differentiation.

For this example we have y= \frac{2}{x^4}, first lets get rid of the quotient and write the expression in the form y=x^n:
y= \frac{2}{x^4} =2x^-^4

Now we can directly apply the rule stated at the beginning (in which n=-4):
\frac{dy}{dx}=(2)(-4)x^{-4-1}=-8 x^{-5}= -\frac{8}{x^5}

Note that whenever we differentiate a function, we simply "ignore" the constants (we take them out of the derivative).
6 0
3 years ago
What are the intercepts to the line
Roman55 [17]
The x-intercept is 8 because it passes through the horizontal line (x) at point 8.
The y-intercept is -4 because it passes through the vertical line a (y) at point -4.
The correct answer is B.
Hope this helps!
5 0
3 years ago
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