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
densk [106]
2 years ago
6

A trip to Portland, Oregon, from Boston will take 7 3/4 hours. Assuming we are two-thirds of the way there, how much longer in h

ours will the trip take?
Mathematics
1 answer:
schepotkina [342]2 years ago
8 0
First turn 7 hours and 3/4 hours into a decimal number.  This will help when doing equations (the work).

This means finding the decimal value of 3/4.  3 divided by four is .75, which means that's the decimal value.  Now add 7.

The full decimal number is 7.75 hours.

Now, the question says you are two-thirds there, meaning you have one-third to get there, also known as 1/3.  

What you can do to find how much longer the trip will take is divide 7.75 by 3 which will give you one-third of 7.75.  

One-third of 7.75 is 7.75 divided by 3 which is approximately equal to 2.58.

Since the unit is hours, 2.58 represents 2.58 hours.

Therefore, the answer is that it will take 2.58 hours longer to get to Portland, Orgeon.

Remember to do a bit of studying, understand how the question can be solved, and doing procedures with fractions.

I hope this helped!




You might be interested in
The Goodsmell perfume producing company has a new line of perfume and is
LenKa [72]

Given:

It is given that surface area must be less than 150 cm².

Solution:

The Maximum Volume With Total Surface Area Less  than 150 cm² is shown in the table.

From the table, it can be concluded that for r=3.00 cm and h=4.95 cm the surface area will be less than 150 cm²  and the volume will be the maximum.

S=2\pi rh+2\pi r^2\\S=2\pi (3)(7.95)+2\pi3^2\\S=93.3+56.5\\S=149.8 \text{ cm}^2

Calculate the volume.

V=\pi r^2h\\V=\pi(3)^2(4.95)\\V=139.96

Hence, the required dimensions are r=3.00 cm and h=4.95 cm.

8 0
2 years ago
Which number produces a rational number when multiplied by 0.5
ivanzaharov [21]
10 is your answer because it is a terminating or repeating decimals
5 0
2 years ago
Read 2 more answers
Suppose the firm in this example considers a second product that has a unit profit of $5 and requires 2 hours of production time
user100 [1]

The question is incomplete, here is the complete question

Recall the production model from Section 1.3:

Max 10x

s.t. 5x ≤ 40

x ≥ 0

Suppose the firm in this example considers a second product that has a unit profit of $5 and requires 2 hours for each unit produced. Assume total production capacity remains 40 units. Use y as the number of units of product 2 produced. . Show the mathematical model when both products are considered simultaneously.

Answer:

Max Profit: 10x + 5y

5x + 2y ≤ 40

x ≥ 0, y ≥ 0

Explanation:

x= number of units of product 1 produced

y = number of units of product 2 produced

Since the first product, x, has a unit profit of $10 and Max1 is 10x

Second product, y, has a unit profit of $5, Max2 = 5y

The maximum profit when both products are considered simultaneously is 10x + 5y

Max Profit = 10x + 5y

Time required for each unit of x is 5hours

Therefore, time required for x units is 5x hours

Time required for each unit of y is 2hours  

Therefore, time required for y units is 2y hours

Time required for the simultaneous production of both products is 5x + 2y

Since production capacity remains 40 units, 5x+2y ≤40

NB: The values of x and y cannot be negative  

5 0
1 year ago
There is a bell at the top of a tower that is 45m high. The bell weighs 190 kg. How much potential energy does the bell have?
Slav-nsk [51]

Answer:

  83.79 kJ

Step-by-step explanation:

The potential energy is the product of weight and height, where weight is in newtons.

  PE = Mgh = (190 kg)(9.8 m/s^2)(45 m) = 83,790 J

7 0
2 years ago
What is the recursive rule for an=4n−1? a1=4;an=an−1−1 a1=3;an=an−1+4 a1=−1;an=an−1+4 a1=3;an=an−1−1
navik [9.2K]
Plug in n = 1 into the nth term formula
a(n) = 4n-1
a(1) = 4*1-1
a(1) = 3
So the first term is 3

The second term will be 7 because we add on 4 each time, as indicated by the slope of 4. This is also known as the common difference.

So the nth term is found by adding 4 to the (n-1)st term, in other words,
a(n) = a(n-1)+4

----------------------------------------------------------------------------

In summary, the answer is 
a1=3; an=an-1+4
which is choice B
4 0
2 years ago
Read 2 more answers
Other questions:
  • John Johnson is forty-seven. He is purchasing twenty-year endowment insurance, with a face value of $20,000. What is his annual
    6·1 answer
  • Which points are on the graph of the equation -3x + 6y + 5 = -7?
    5·1 answer
  • Find the output, yyy, when the input, xxx, is 555.<br><br> y = 5x-3y=5x−3
    12·2 answers
  • Which fraction represents the decimal 0. ModifyingAbove 1 2 with Bar?
    7·2 answers
  • Jose is blocking off several rooms in a hotel for guests coming to his wedding. The hotel can reserve small rooms that can hold
    12·1 answer
  • Given directed line segment QS , find the coordinates of R
    15·1 answer
  • The subjects of a study by Dugoff et al. (A-5) were 10 obstetrics and gynecology interns at the University of Colorado Health Sc
    9·1 answer
  • Troy has a price chart below for various ingredients he needs to order for his sandwich bar. Sandwich Ingredients Item Cost (per
    12·1 answer
  • Nathan is planning to ride his bike for 24 minutes.
    15·2 answers
  • Toni and Nicky each earn a weekly salary
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!