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
mel-nik [20]
2 years ago
15

On a recent road trip, Mr. Yost drove 210 miles in 3 1/2 hours. Find both the miles driven per hour and the hours driven per mil

e.
Mathematics
1 answer:
amid [387]2 years ago
7 0

Miles driven per hour is 60 miles per hour

Hours driven per mile is 0.01667 hours per mile

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

Given that,

On a recent road trip, Mr. Yost drove 210 miles in 3 1/2 hours

Therefore,

Miles driven = 210 miles

Time\ taken = 3\frac{1}{2}\ hour = \frac{7}{2} = 3.5\ hour

To find: miles driven per hour and the hours driven per mile

<h3><u>Miles driven per hour</u></h3>

\frac{miles}{hour} = \frac{210}{3.5}\\\\\frac{miles}{hour} = 60\ miles\ per\ hour

<h3><u>Hours driven per mile</u></h3>

\frac{hours}{miles} = \frac{3.5}{210}\\\\\frac{hours}{miles} = 0.01667\ hours\ per\ miles

Thus both the miles driven per hour and the hours driven per mile are found

You might be interested in
Electricity bills: According to a government energy agency, the mean monthly household electricity bill in the United States in
GuDViN [60]

Answer:

18.67% of bills are greater than $131

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 109.72, \sigma = 24

What proportion of bills are greater than $131

This proportion is 1 subtracted by the pvalue of Z when X = 131. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{131 - 109.72}{24}

Z = 0.89

Z = 0.89 has a pvalue of 0.8133

1 - 0.8133 = 0.1867

18.67% of bills are greater than $131

7 0
2 years ago
Noah received a $500 signing bonus when he accepted a job as a paralegal. If he makes $28 an hour, which equation models Noah's
sveta [45]
A. Y= 28x + 500

The answer is A
4 0
2 years ago
Penny and her two friends each ate 1/6 of cake . how much cake did they eat
Hoochie [10]
They ate 1/3 of the cake
4 0
2 years ago
Read 2 more answers
Omar and Caleb each had a repair made on their cars. The initial cost of each repair is $1,000. Omar and
nataly862011 [7]

Answer:

Caleb paid less than Omar by $12.

Step-by-step explanation:

The initial cost of each repair is $1,000.

One  coupon is for $80 off the repair cost. The other coupon is for 15% off the repair cost.

Case 1:

Omar uses the $80 off the repair cost coupon first. He then uses the 15% off the repair cost coupon on  the remaining balance.

Step 1: 1000-80=920

Step 2: 920-(0.15\times920)=782 dollars

Case 2:

Caleb uses the 15% off the repair cost coupon first. He then uses the $80 off the repair cost coupon on  the remaining balance.

Step 1: 1000-(0.15\times1000)=850

Step 2: 850-80=770 dollars

Now, comparing the values we can see that Caleb paid less.

He paid less by 782-770=12 dollars.

8 0
2 years ago
Mackin Investing charges its customers a 1% commission. The Ross Group, a discount broker, charges $25 per trade. For what amoun
olchik [2.2K]

Answer:

The amount of stock for which both brokers would charge the same commission is $2500.

Step-by-step explanation:

i) Let the amount of stock to be traded be worth $x

ii) therefore for both the brokers to charge the same commission we can write

   1% of x  = $25 \RIghtarrow\Rightarrow  0.01 \times x  = 25  \therefore   x = \frac{25}{0.01}  = 2500

The amount of stock for which both brokers would charge the same commission is $2500.

5 0
2 years ago
Other questions:
  • ​Kara's Custom Tees experienced fixed costs of ​$200 and variable costs of ​$3 a shirt. Write an equation that can be used to de
    7·1 answer
  • How do you convert 1.42 g/cm^2 to mg/mm^2 Step by Step?
    6·1 answer
  • In this diagram, which equation could you prove to be true in order to conclude that the lines are parallel?
    14·2 answers
  • Bill removed the ten of spades and the king of hearts from a deck of standard playing cards and threw them in the trash. There w
    10·1 answer
  • An experiment consists of determining the speed of automobiles on a highway by the use of radar equipment. The random variable i
    14·2 answers
  • 32h = 288 solve for h
    5·1 answer
  • Simplify 5 square root of 11 end root minus 12 square root of 11 end root minus 2 square root of 11 . (1 point)
    5·1 answer
  • ACD is a triangle and B is a point on AC. AB = 8cm and BC is 6cm. Angle BCD = 48° and angle BDC = 50°. (a) Find the length of BD
    5·1 answer
  • Two different suppliers are competing to supply a particular part for a new Boeing airliner. The Japanese supplier charges J(n)
    13·1 answer
  • What is the simplified form of the following expression? 2 StartRoot 27 EndRoot + StartRoot 12 EndRoot minus 3 StartRoot 3 EndRo
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!