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
NNADVOKAT [17]
3 years ago
9

I don't know how to do this practice problem :/

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
8 0

First of all, we know that Emily travels 3/4 of a mile in 4 minutes and 30 seconds (i.e. 9/2 of a minute). So, her current velocity is

v = \dfrac{\frac{3}{4}}{\frac{9}{2}} =\dfrac{3}{4}\cdot\dfrac{2}{9} = \dfrac{1}{6} of a mile per minute.

At this speed, it takes

t = \dfrac{s}{v} = \dfrac{3.42}{\frac{1}{6}} = 3.42\cdot 6 = 20.52

minutes to travel 3.42 miles.

Since she left at 8.25, she will arrive at about 8.46, so she's on time for school.

You might be interested in
If A(-5,7), B(-4,-5), C(-1,-6) and D(4,5) are the vertices of a quadrilateral, find the area of the quadrilateral ABCD.
MrMuchimi
After plotting the quadrilateral in a Cartesian plane, you can see that it is not a particular quadrilateral. Hence, you need to divide it into two triangles. Let's take ABC and ADC.

The area of a triangle with vertices known is  given by the matrix
M = \left[\begin{array}{ccc} x_{1}&y_{1}&1\\x_{2}&y_{2}&1\\x_{3}&y_{3}&1\end{array}\right]

Area = 1/2· | det(M) |
        = 1/2· | x₁·y₂ - x₂·y₁ + x₂·y₃ - x₃·y₂ + x₃·y₁ - x₁·y₃ |
        = 1/2· | x₁·(y₂ - y₃) + x₂·(y₃ - y₁) + x₃·(y₁ - y₂) |

Therefore, the area of ABC will be:
A(ABC) = 1/2· | (-5)·(-5 - (-6)) + (-4)·(-6 - 7) + (-1)·(7 - (-5)) |
             = 1/2· | -5·(1) - 4·(-13) - 1·(12) |
             = 1/2 | 35 |
             = 35/2

Similarly, the area of ADC will be:
A(ABC) = 1/2· | (-5)·(5 - (-6)) + (4)·(-6 - 7) + (-1)·(7 - 5) |
             = 1/2· | -5·(11) + 4·(-13) - 1·(2) |
             = 1/2 | -109 |
<span>             = 109/2</span>

The total area of the quadrilateral will be the sum of the areas of the two triangles:

A(ABCD) = A(ABC) + A(ADC) 
               = 35/2 + 109/2
               = 72
8 0
3 years ago
An object is moving at the constant rate of 32 feet per second. How many yards will it travel in one minute? 10.7 yards per minu
In-s [12.5K]

1 yard = 3 feet

1 minute = 60 seconds

Multiply 32 feet per second by 60 to find feet per minute:

32 x 60 = 1920 feet per minute.

Divide total feet per minute by 3 feet to find yards per minute:

1920 / 3 =640 yards per minute.


6 0
3 years ago
Using the table tool, create a truth table for compound statement ~p^~q.
Nataliya [291]

Answer:

Step-by-step explanation:

See the attachment for the chart

4 0
3 years ago
In the scale used on a blueprint, 141 inch represents 3 feet. On the blueprint, what is the length of a room with an actual leng
natita [175]
24÷3 =8
141×8=1128 inches
5 0
3 years ago
What is<br> 12,4% expressed as a fraction?
Oliga [24]

Answer:

Well, you first want to find out what it is in decimal form, which in this case is 0.124. Then once you do that, you can convert it to an improper fraction, which would be 124/100, you then can simplify it to convert it into a mixed number, which lands you the final answer of 1 6/25 I hope this helps you! :)

8 0
3 years ago
Other questions:
  • Use this figure to find value of FOD
    15·1 answer
  • Jesse takes two data points from the weight and feed cost data set to calculate a slope, or average rate of change. A ferret wei
    9·1 answer
  • Consider the exponential function g(x)=100•(2)^x. Which of the following situations could be modeled by the function? SELECT ALL
    9·2 answers
  • Baseball Ichiro Suzuki holds the American League record for the most hits in a single baseball season. In 2004, Suzuki had a tot
    6·1 answer
  • What is the score range for the smallest percent of students
    8·1 answer
  • Owing each step. Wri<br>7(m + 5) = 21​
    13·2 answers
  • Please help, thank you.
    15·2 answers
  • .........................................help
    10·1 answer
  • Can anyone help me with this?
    14·1 answer
  • 1. Find the measure of angle R.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!