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
OverLord2011 [107]
2 years ago
5

Amirah's family is driving to her uncle's house. The family travels 383.5 miles between 10:15 am and 4:45 pm. Calculate the fami

ly's average rate of travel for the day. Write your answer as decimal rounded to the nearest tenth.
Mathematics
2 answers:
ddd [48]2 years ago
5 0

Answer:

The family's average rate of travel for the day was 59.0 MPH.

Step-by-step explanation:

From 10:15AM to 4:45PM, they travelled a distance of 383.5 miles and a total of 6 hours and 30 minutes.

There are 60 minutes in an hour. 30 minutes translates into 1/2 an hour or .5

So, 6.5 hours and a total distance of 383.5 miles.

Velocity (MPH) = Distance (in miles) / Time (in hours)

MPH means Miles Per Hour

Variables:

Velocity (MPH) = x

Distance (in miles) = 383.5

Time (in hours) = 6.5

Plug in the variables into the formula

x = 383.5 / 6.5

Divide

x = 59.0 MPH

Leviafan [203]2 years ago
5 0

Answer:

59 miles/hr

Step-by-step explanation:

To solve this, lets make the time in 24 hours format:

10:15 am = 10 hours and 15 minutes

4:45 pm = 16 hours and 45 minutes

so time taken = ( 16 hours and 45 minutes ) - ( 10 hours and 15 minutes )

                       = 6 hours 30 minutes

                       = [6 + (30/60)] hours

                       = 6.5 hours taken for the journey to complete

Average rate of travel = Total distance / time taken

                                     = 383.5 / 6.5

                                     = 59 miles/hr

You might be interested in
The diagonals of a rhombus are 14 and 48cm. Find the length of a side of the rhombus.​
valentinak56 [21]

Check the picture below.

let's recall that a rhombu's sides are all equal.

7 0
3 years ago
1/2(8x-20)=1/4(12x+32)
Mila [183]

Answer:

x=18

Step-by-step explanation:

4x-10=3x+8

4x-3x

x-10=8

8+10

6 0
3 years ago
A customer paid $4.53 in sales tax on a set of chairs that cost $151. what is the sales tax rate.
zubka84 [21]

Answer:

The sales tax rate is 3%.

Step-by-step explanation:

4.53/151=0.03=3%

3 0
3 years ago
I cannot answer this question 20.4= ? tenths
jekas [21]
The question asked in this query is the place order of the number value 20.4 and what is the tenths? We can further explain the state order values of the number is expanded form thus,
<span><span>1.                      </span>20.0 – tens</span> <span><span>
2.                      </span>0.4 – tenths</span>

Now, which is the tenths in the number? It is the digit number of 0.4



8 0
4 years ago
Read 2 more answers
A radioactive substance decays at a continuous rate of 17% per year, and 250 mg of the substance is present in the year 2009.
yaroslaw [1]

Answer:

a) A(t) = 250 (1-0.17)^t = 250(0.83)^t

b) A(t=14) = 250 (0.83)^{14}= 18.408 mg

c) For this case we want to find when the quantity is below 25 mg, so we can do this:

25 = 250 (0.83)^t

We can divide both sided by 250 and we got:

0.1 = 0.83^t

Now we can apply natural log on both sides and we got:

ln(0.1) = t ln (0.83)

And if we solve for t we got:

t = \frac{ln(0.1)}{ln(0.83)}= 12.358 years

So the answer for this case would be 12.358 years after.

Step-by-step explanation:

Part a

For this case we know that the decay rate per year is about 17% or 0.17 in fraction and the initial amount is 250 mg for 2009, we can define the model like this:

A(t) = A_o (1-r)^t

Where A represent the amount of the substance in mg, r the decay rate = 0.17 and t the number of years after 2009.

Our model for this case would be:

A(t) = 250 (1-0.17)^t = 250(0.83)^t

Part b

For this case we have that t= 2023-2009=14 years, so then we can find the amount of substance like this:

A(t=14) = 250 (0.83)^{14}= 18.408 mg

Part c

For this case we want to find when the quantity is below 25 mg, so we can do this:

25 = 250 (0.83)^t

We can divide both sided by 250 and we got:

0.1 = 0.83^t

Now we can apply natural log on both sides and we got:

ln(0.1) = t ln (0.83)

And if we solve for t we got:

t = \frac{ln(0.1)}{ln(0.83)}= 12.358 years

So the answer for this case would be 12.358 years after.

6 0
3 years ago
Other questions:
  • find the area and perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approx
    10·1 answer
  • What is equivalent to the complex number i^7
    14·1 answer
  • Fifty people were surveyed about their favorite flavor of frozen yogurt. The results of the survey are displayed in the circle g
    8·2 answers
  • 95% of 7-year-old children are between_________inches and________ inches tall.
    12·2 answers
  • How many times greater is the value of 3 in the product of 34 × 10000 in the value of 3 in 34
    8·1 answer
  • Find the zeros of the function; To the nearest Hundredth. PLEASE HELP
    5·1 answer
  • For all parts of this question, use the function y + 2 = 3(x + 4)
    15·1 answer
  • I need help I don’t understand
    6·1 answer
  • If 5 20 times 2 Superscript 2 minus 3 x Baseline = 10 times 2 Superscript negative 2 x Baseline 5, what is the value of x? â€"3
    13·1 answer
  • a survey of lobster fishermen found that they catch an average of 32 pounds of lobster per day with a standard deviation of 4 po
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!