Dan runs 8 miles in 84 minutes. At the same rate how many minutes would be take to run 6 miles

Answers

Answer 1
Answer:

Answer:

63 minutes

Step-by-step explanation:

Set up a ratio equation.

(8 miles/84 minutes should be equal to 6 miles/x amount of minutes). Set the two fractions equal to each other and solve for x by cross multiplying.

Answer 2
Answer:

Answer: It will take Dan 63 minutes to run 6 miles.

Step-by-step explanation:

(8)/(6)  = (84)/(x)  do  cross product.

8x = 504

x= 63  


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Bob, driving a new Ford, travels 330 miles in the same amount of time it takes John, driving an old Chevy and traveling 10 miles per hour faster, to travel 390 miles. How fast is Bob driving?

Answers

Answer:

  55 mph

Step-by-step explanation:

Let x represent Bob's speed. Then John's speed is x+10, and their respective times are found by ...

  time = distance/speed

  330/x = 390/(x+10) . . . . . . . the times are the same

  330(x +10) = 390x . . . . . . .  multiply by x(x+10)

  3300 = 60x . . . . . . . . . . . . . subtract 330x

  55 = x . . . . . . . . . . . . . . . . . . divide by the coefficient of x

Bob is driving at 55 miles per hour.

What is the excluded value?a/b-2

1. a=0
2. b=2
3. b=-2
4. none of the above

Answers

Answer:  The correct option is (2) b=2.

Step-by-step explanation: We are given to find the exclude value for the following algebraic expression:

E=(a)/(b-2)~~~~~~~~~~~~~~~~~~~~~~(i)

We know that

for a rational expression, we must exclude those values for which the denominator of the fraction becomes zero.

So, in equation (i), the excluded value will be given by

b-2=0\n\n\Rightarrow b=2.

Thus, the required excluded value is b=2.

Option (2) is CORRECT.

b - 2 = 0 since you cannot divide by 0
b = 2 solve for b. this is where the function is undefined

Product A is an 8-oz. Bottle of cough medication that sells for $1.36. Product B is a 16-oz. Bottle of cough medication that cost $3.20. What product has the lower unit price?

Answers

Product A is 8 oz and sells for = $1.36

So, 1 oz of Product A will cost = (1.36)/(8) = $0.17

So, unit price of product A is $0.17

Product B is 16 oz and sells for = $3.20

So, 1 oz of product B will cost = (3.20)/(16) = 0.20

Unit price of product B is $0.20

Hence, comparing the two unit prices, Product A has a lower unit price.

ladt month you used 125 minutes and your bill was $37.50. this month you used 175 minutes. how much was will your home phone bill be this month

Answers

Answer: $52.5

Step-by-step explanation:

Given : Last month you used 125 minutes and your bill was $37.50.

i.e. Charges for each minute used =(37.50)/(125)=\$0.3

i.e. it charges $0.3 for each minute home phone used.

If this  month you used 175 minutes.

Then , your this month's  home phone bill will be :-

175*0.3=\$52.5

Hence, you month home phone bill will be $52.5 .

so 37.50/125=0.3

0.3*175=52.5

so his bill is $52.50

Can anyone help me solve this math problem?

Answers

Step-by-step explanation:

[ Refer to the attached file ]

  • Used method TrigonometricRatio!!

A company has a policy making the compensation of its CEO proportional to the dividends that are paid to shareholders. If the dividends increase from $72 to $80 and the CEO’s compensation is increased from $360,000 to $420,000, was the company’s policy followed? yes or no

Answers

Percentage increase of dividends:
[(80-72)/72] x 100 = 11.1% increase

Percentage increase of CEO compensation:
[(420000-3600000/3600000] x 100 = 16.67% increase

Therefore the company policy was not followed as the CEO's compensation had a greater percentage increase than the dividends to the shareholders