1answer.
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
lisabon 2012 [21]
2 years ago
5

Jennifer travels from Boston , Massachusetts, to Fairfield, Connecticut, a distance of 90 miles, at a speed of 45 miles per hour

, and returns at a speed of 60 miles per hour. To the nearest half mile per hour, what is Jennifer's average rate for the whole trip?
A) 50 1/2
B) 51
C) 51 1/2
D) 52 1/2
E) 53 1/2
Mathematics
1 answer:
Natali5045456 [20]2 years ago
3 0

Answer: 52 1/2

Step-by-step explanation: I just found the average of the numbers.

You might be interested in
Jamie ordered 200 business cards and paid $23. She ordered 500 business cards a few months later and paid $35. Write and solve a
Gnesinka [82]

Answer:

To purchase 700 business cards, Jamie needs to pay $43.

Step-by-step explanation:

We are given that Jamie ordered 200 business cards and paid $23 in total.

We are also given that Jamie ordered 500 business cards and paid $35.

We can use the rate of change formula to find the average change.

\displaystyle \bullet \ \ \ \frac{\triangle y}{\triangle x}

This can also be represented with:

\displaystyle \bullet \ \ \ \frac{y_2-y_1}{x_2-x_1}

Therefore, we need to identify our variables.

In every relationship, there is a <u>dependent variable</u> and an <u>independent variable</u>.

  • The independent variable is the variable that an experimenter adjusts in order to receive an altered effect from an output.
  • The dependent variable is the variable that adjusts based on the changes made to the independent variable.

We change the amount of business cards that are purchased, which in turn, changes the price.

The y-variable is assigned to the dependent variable and the x-variable is assigned to the dependent variable.

Therefore, if we use the coordinate system:

  • (200, 23)
  • (500, 35)

Now, we can name our coordinates. We use this system:

  • (x₁, y₁)
  • (x₂, y₂)

This means that we can name our points:

  • x₁ = 200
  • y₁ = 23
  • x₂ = 500
  • y₂ = 35

Revisiting the rate of change formula, we can insert these values.

\displaystyle \frac{y_2-y_1}{x_2-x_1}

\displaystyle \frac{35 - 23}{500-200}\\\\\frac{12}{300}=\frac{1}{25}

Next, we need to find the y-intercept of our line. We can do this by using one coordinate pair from above and our slope.

The slope-intercept equation is:

\bullet \ \ \ y = mx + b

We already know m:

\displaystyle \bullet \ \ \ \frac{1}{25}

We also know x and y (we take them from of the coordinate pairs):

\bullet \ \ \ x = 200

\bullet \ \ \ y = 23

Now, we can substitute these values into the equation and solve for b.

\displaystyle [y = mx + b]\\\\23 = \frac{1}{25}(200) + b\\\\23 = 8 + b\\\\23 - 8 = 8 - 8 + b\\\\15 = b\\\\b = 15

Now, we can set up our linear equation.

\displaystyle y = \frac{1}{25}x + 15

Therefore, in order to find the price of 700 business cards, we make x in the equation equal 700 and then solve.

\displaystyle y = \frac{1}{25}(700)+15\\\\y = 28 + 15\\\\y = 43

Therefore, the price of 700 business cards is equal to $43.

3 0
3 years ago
Please help!!!!!!!!!!!!!!!!
vovikov84 [41]

i think that it is the third one


6 0
3 years ago
3 x one half<br><br><br> three halves<br><br> five sixths<br><br> one sixth<br><br> one half
fomenos

Answer:

three halves

Step-by-step explanation:

1/2 * 3 = 3/2 = 1 1/2 = 1.5

Multiple: 1/2 * 3 = 1 · 3/2 · 1 = 3/2

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(3, 2) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - one half multiplied by three = three halfs.

3 0
1 year ago
Write an expression that is equivalent to 123x + x + 2x
Svetlanka [38]
This simplified is 126x so that is equivalent to this expression
7 0
3 years ago
Whats the elasped time between 9:00 and 1:30
Tasya [4]

Answer:

4 hours and 30 minutes

Step-by-step explanation:

I'll assume you have a basic knowledge of time and know the sequence. So all you do is count to 1:00 and see how many steps you took. In this case 4, but then you have 30 minutes left. Add that to the 4 hours, and you have a total of 4 hours and 30 minutes of elapsed time.

Hope this helps :)

7 0
2 years ago
Other questions:
  • What is t×3/4 for t = 8/9
    15·2 answers
  • I'm not sure where to start plz help
    9·1 answer
  • Elanor paints this figure on her wall. Find the area of the figure.
    15·1 answer
  • Mrs. conley asks her class what kind of party they want to have to celebrate their excellent behavior. out of all the students i
    11·1 answer
  • Bonnie deposits $70.00 into a new savings account. The account earns 4.5% simple interest per year. No money is added or removed
    10·2 answers
  • Hi guys I have s question. I need help doing question 6 and 7. Branlyist to the first answer!
    6·2 answers
  • Plz help 10points :)
    15·1 answer
  • Show how to use known facts to find 6 x 9. Explain how you chose the facts you did
    12·2 answers
  • In triangle JKL,the length of side JK is 12 feet, and the length of side KL is 15 feet. What is the length of side JL?
    5·1 answer
  • Abigail is 8 years older than Cynthia. Twenty years ago Abigail was three times as old as Cynthia
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!