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
-BARSIC- [3]
3 years ago
8

Kaley's family drove to DisneyLand for spring break. Her mom and dad shared the driving duties for a total of 24 hours. Her mom

drove 75 miles per hour, and her dad drove 60 miles per hour. If they drove a total of 1,710 miles, how many hours did each person drive for?
Mathematics
1 answer:
qaws [65]3 years ago
3 0

Answer:

Mom drove for 18 hours.

Dad drove for 6 hours.

Step-by-step explanation:

Given that:

Number of hours for the driving duty = 24 hours

Speed at which the mom drove = 75 miles per hour

Speed at which the dad drove = 60 miles per hour

Total distance driven by both of them = 1710 miles

To find:

Number of hours for which each person drive for ?

Solution:

Let number of hours driven by dad = x hours

Let number of hours driven by mom =  (24 - x) hours

Let us have a look at the formula for Distance in terms of Speed and Time.

Distance = Speed \times Time

Distance traveled by Mom = 75 \times x =75x \ miles

Distance traveled by dad = 60(24-x) =144-60x miles

As per question statement:

75x+1440-60x=1710\\\Rightarrow 15x=1710-1440\\\Rightarrow 15x = 270\\\Rightarrow x = 18\ hours

So, Mom drove for 18 hours.

Dad drove for 6 hours.

You might be interested in
Mathew has $40.00, if Mathew wants to buy a bike for $70.00, how much more money will he need to buy the bike?
Gnoma [55]

Answer:

Step-by-step explanation:

30

7 0
3 years ago
Find the value of x. Then find the measure of each labeled angle.<br> (4x + 12)<br> (In picture)
Lelechka [254]

Answer:

(4x+12)=90

x= 19.5

Step-by-step explanation:

3 0
3 years ago
Daily high temperatures in the city of Houston for the last week have been: 90, 93, 90 92, 90, 88, 98 (yesterday).
vesna_86 [32]

Answer:

  1. The answer or forecast for temperature using a three-day moving average =
  2. The answer or forecast for temperature using a three-day moving average =
  3. The mean absolute deviation based on a two-day moving average, covering all days =  

Step-by-step explanation:

1. Three-point averages are calculated by taking a number in the series with the previous and next numbers and averaging the three of them.

Step I - Calculate the three series of succession of numbers form the data and find the average of each of them:

A) (90 + 93 +90)/3 = 91.00

B) (93 + 92 + 90)/3 = 91.67

C) (90 + 92 +90)/3 = 90.67

D) (92 + 90 + 88)/3 = 90.00

E) (90 + 88 + 98)/3 = 92.00

So our series approximated to the nearest whole number is:

91, 92, 91, 90, 92

STEP II

 

From the series above the highest temperature today is unpredictable because the series is irregular. It went from 91 to 92, then it dropped to 90 and came back to 92.

             

2. Using a two day moving average we have

STEP I .  

Calculate the moving averages

           

A) (90+93)/2 = 91.50

B) (93 + 90)/2 = 91.50

C) (90 + 92)/2 = 91.00

D) (92 +90)/2 = 91.00

E) (90 + 88)/2 = 89.00

F) (88 + 98)/2 = 93.00

STEP II

The temperature also cannot be predicted because of the irregular series.

3. Calculating the Mean Absolute Deviation based on a two-day moving average

The formula for MAD = (∑|x_{i} - \frac{}{x}|)/n

STEP I

To find the mean absolute deviation of the data, start by finding the mean of the data set.

Mean of the data set =

(91.50 + 91.50 + 91.00 +  91.00 + 89.00 +93.00)/6

Mean = 91.17

STEP II

Get the distance between the data point and the mean:

  1. 91.50-91.17=0.33
  2. 91.50-91.17= 0.33
  3. 91.00-91.17= -0.17
  4. 91.00-91.17= -0.17
  5. 89.00-91.17= -2.17
  6. 90.00-91.17= -1.17

STEP II

Add all the distances together

0.33 + 0.33 - 0.17 - 0.17 - 2.17 - 1.17 = -3.02

STEP III

Divide the the sum by data points

-3.02/6

= -0.50

So on average the temperatures were <em>-0.50</em> from the mean.

Cheers!

3 0
3 years ago
Read 2 more answers
Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3
Nat2105 [25]

<em><u>Question:</u></em>

Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3 1/2 inches long. The scale of the floor plan is 1/4 inch = 1 foot. What is the actual length of Hector’s room?

<em><u>Answer:</u></em>

The actual length of Hector room is 14 foot

<em><u>Solution:</u></em>

Given that, On the floor plan, his bedroom is 3 inches wide and 3\frac{1}{2} inches long

<em><u>The scale of floor plan is given as:</u></em>

\frac{1}{4} \text{ inch} = 1 \text{ foot }

Therefore,

1 \text{ inch } = 4 \text{ foot}

To find: Actual length of floor

From given question,

length = 3\frac{1}{2} \text{ inches}

Converting the mixed fraction to improper fraction,

length = \frac{2 \times 3 + 1}{2} = \frac{7}{2} \text{ inches }

Since, 1 inch = 4 foot

\frac{7}{2} \text{ inches } = \frac{7}{2} \times 4 \text{ foot } = 14 \text{ foot }

Thus actual length of Hector room is 14 foot

6 0
3 years ago
What is the value of a in the equation 5a – 10b = 45, when b = 3?
lara31 [8.8K]
Here you go. Do you think that you could help me with my question

5a – 10b = 45 
5a – 10(3) = 45 
5a – 30 = 45 
+30 +30 
5a = 75/5 
<span>a = 15</span>
8 0
3 years ago
Read 2 more answers
Other questions:
  • Help with math please
    10·1 answer
  • PLEASE HELP ASAP! Will give BRAINLIEST! Please answer correctly!<br><br> No guessing!
    5·2 answers
  • Triple integral where e is enclosed by paraboloid z= x^2 y^2 and plane z=4
    6·1 answer
  • A fireman has 12 ft. ladder and a 16 ft ladder. He leans the 12 ft ladder against a house at an angle of 57 degrees. He leans th
    11·1 answer
  • -\dfrac{16}{5},8,-20,− 5 16 ​ ,8,−20,minus, start fraction, 16, divided by, 5, end fraction, comma, 8, comma, minus, 20, comma
    15·2 answers
  • I need help with this
    11·1 answer
  • Mr. Grant's credit card bill was $2,684.72. If he has already paid off $1,865.24 of the amount due, how much more does he have t
    12·1 answer
  • 3. What is the area of the triangle below?
    6·1 answer
  • The sum of the fifth and sixth term of an AP is 30.If the third term is 5.Find the first term.<br>​
    13·1 answer
  • Ano ang nakikita mong number​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!