answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pshichka [43]
2 years ago
6

The distance between two piers on a river is 45 miles. It takes a motorboat, moving downriver, 2 hr 15 min to complete the journ

ey. How much time does it take the same boat to go back upstream if the current flows at 2.5 mph?
Mathematics
1 answer:
ahrayia [7]2 years ago
3 0

Answer: 3 hours

Step-by-step explanation: we can make a variable for our answer(x)

Now, we need to find the speed of the boat without the current (y)

we can make this equation: d/t = s: 45/(y + 2.5) = 2 1/4

hence: y = 17.5

now we can substitute in the current's speed: y -2.5

17.5 - 2.5 is 15

now we can solve for x

45/15 = 3

hence, we get 3 hours as our answer

You might be interested in
a driver travels 2 hours at 60 miles per hour ,during which her car gets 30 miles per gallon of gasoline.she is paid $0.50 per m
Sever21 [200]

Answer:

Her net rate of pay in dollars per hour after the expense = $26

Step-by-step explanation:

Given:

Driver travels for 2 hours.

Speed = 60 miles per hour

Her  car runs at the rate of 30 miles per gallon of gasoline.

She is paid $0.50 per mile.

Expenses is price of gasoline at the rate of $2.00 per gallon.

To find her net rate of pay in dollars  per hour.

Solution:

In one hour the driver travels = 60 miles

For each mile she is paid = $0.50

<em>So, for 60 miles she will be paid = </em>60\times \$0.50 = \$30<em />

<em />

In a gallon of gasoline the car travels = 30 miles

<em>So, to travel 60 miles, the car would require = </em>\frac{60}{30}= 2<em> gallons of gasoline</em>

1 gallon of gasoline cost = $2.00

<em>Expenses for 2 gallons of gasoline = </em>2\times \$2.00=\$4<em />

<em />

So, in one hour she gets paid =$30 and her expenses for an hour drive = $4.

Thus, her net rate of pay in dollars per hour after the expense = \$30-\$4=\$26

8 0
2 years ago
The glee club has $90 to spend on pens and pencils. Each pen costs $0.75 and each pencil costs $0.15. Let x represent the number
Deffense [45]

Answer:

part a: answer b. 0.75x + 0.15y = 90

8 0
2 years ago
Read 2 more answers
What are the similarities and differences between comparing whole numbers and decimals
Helga [31]
There both types of numbers but a whole number is a number with no exponents or decimals, but decimals are like a broken un half whole number
3 0
2 years ago
Read 2 more answers
Suppose c and d vary inversely, and d = 2 when c = 17.
balu736 [363]

Answer:

c = 34/d

d = 1/2

Step-by-step explanation:

Part A

Basic Formula

c = k/d

17 = k/2         Multiply both sides by 2

17*2 = k*2/2     Combine

34 = k

So the equation is c = 34/d

Part B

c = 68

k = 34

d = ?

68 = 34/d               Multiply both sides by d

68*d = 34 * d/d      Simplify.

68 d = 34                Divide by 68

d = 34/68                Simplify

d = 1/2

5 0
2 years ago
Emanuel was charged \$32$32dollar sign, 32 for a 14\dfrac29 \text{ km}14 9 2 ​ km14, start fraction, 2, divided by, 9, end fract
zaharov [31]

Answer:

$2.25/km

Step-by-step explanation:

The cost charged for a total taxi ride of 14\frac{2}{9}\ km was $32. To get the cost per km, we divide the cost charged for the total taxi ride by the total distance that was traveled by the taxi. The cost per km is given by:

Cost per km = \frac{Cost \ of\ money\ charged}{Total\ distance}=\frac{\$ 32}{14\frac{2}{9} \ km}=\frac{32}{\frac{128}{9} }=   \$2.25/km

Therefore the cost per kilometer is $2.25 per kilometer. Each kilometer traveled by the taxi cost $2.25.

8 0
2 years ago
Read 2 more answers
Other questions:
  • Polygon XYZW is dilated by a scale factor of 2 with point T as the center of dilation, resulting in the image X′Y′Z′W′. If point
    8·2 answers
  • Miriam makes 4 prize bags that each have 5 miniature toys and 4 healthy snacks. Luz has the same number of total items in the pr
    5·1 answer
  • The cost for a company to manufacture x bracelets can be represented by the function C(x). Complete the sentence below using the
    10·2 answers
  • ASAP
    12·1 answer
  • 0.003 is 1/10 of what decimal?
    6·2 answers
  • The height of a rocket a given number of seconds after it is released is modeled by h (t) = negative 16 t squared + 32 t + 10. W
    13·2 answers
  • Kate begins solving the equation StartFraction 2 Over 3 EndFraction left-parenthesis 6 x minus 3 right-parenthesis equals StartF
    13·2 answers
  • A habitat of prairie dogs can support mmm dogs at most.
    9·1 answer
  • Regular exercise can help a person lower their resting heart rate. Suppose an individual's resting heart rate, in beats per minu
    5·1 answer
  • Tia takes $50 from her bank account to pay for bus fare for the month. She does this each month for 7 months in a row. Which equ
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!