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Serjik [45]
3 years ago
7

Bob left work and traveled to school at an average speed of 25 mph. If it took bob 35 minutes to reach school, how far is Bob's

school from his place of work?
Mathematics
1 answer:
S_A_V [24]3 years ago
4 0
In order t solve this problem, let's first convert 35 minutes into hours. If we divide 35/60 then we will have an answer of 0.58. So 35 minutes is equal to 0.58 hours. After that, we multiply 0.58 to 25. We will do this in order to get the total miles that was traveled in 35 minutes from Bob's school to his work. So the final answer to that question will be 14.58. So the answer is Bob's school is 14.58 miles away from his place of work. 
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The variable z is directly proportional to x, and inversely proportional to y. when x is 16 and y is 17, z has the value 11.2941
Tresset [83]

Lets suppose k is the constant of proportionality.

z = k * x / y

when x is 16 and y is 17, z has the value 11.294117647059

11.294117647059 = k * 16/17

Multiplying 17 on both sides

11.294117647059 * 17 = k * 16

192 = k * 16

Dividing 16 on both sides

192/16 = k

k = 12

Now when x= 22, and y= 26

z = k * x/y

z = 12 * 22 / 26

z = 10.1538461538 : Answer

Hope it will help :)

8 0
3 years ago
Marco is 6 feet 3 inches tall. There are 2.54 centimeters in one inch. What is Marcos height in centimeters?
Marat540 [252]

Answer:

190.5cm

Step-by-step explanation:

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3 years ago
A number that uses place value and a decimal point to show part of a whole
lukranit [14]
732.4 because just put in a decimal before a # and then do place value to a whole #.
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3 years ago
NetSell, a the TV remote control supplier for Lumyn Electronics, has a weekly production cost of q TV remote controls that is gi
natali 33 [55]

Answer:

a.  \frac{dC(q)}{dq} = 0.000012q^2 -0.06q + 100

b. \frac{dR(q)}{dq}=-0.01q+200

c.

U'(2000)=-0.000012(2000)^2+0.05(2000)+100 = 152

U'(7000)=-0.000012(7000)^2+0.05(7000)+100 = -138

 

Step-by-step explanation:

a) The marginal cost function is given by the derivative of the total cost function, in this way the marginal cost function for this company is:

\frac{dC(q)}{dq} = \frac{dC(q)}{dq} (0.000004q^ 3 - 0.03q ^ 2 + 100q + 75000) = 0.000012q^2 -0.06q + 100

b) The income function is given by the relation R (q) = P (q) q = -0.005q^2 + 200q.

The marginal revenue function for the company is given by the derivative of the revenue function, in this way the marginal revenue function is:

\frac{dR(q)}{dq}= -0.01q+200

 

(c) The profit function of the company is given by the relation U (q) = R (q) - C (q), and the marginal utility function is given by the derivative of the utility function, in this way , the marginal utility function is:

\dfrac{dU(q)}{dq}=R'(q) - C'(q) = -0.01q+200 - (0.000012q^2-0.06q+100) = -0.000012q^2+0.05q+100

When q = 2000, the marginal utility is:

U'(2000)=-0.000012(2000)^2+0.05(2000)+100 = 152

When q = 7000, the marginal utility is:

U'(7000)=-0.000012(7000)^2+0.05(7000)+100 = -138

6 0
3 years ago
Which equation can be used to solve for x in the following diagram.
Romashka [77]

Answer:

11, A

Step-by-step explanation:

90 - 35 = 55

55/5 = 11

6 0
2 years ago
Read 2 more answers
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