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
viktelen [127]
3 years ago
14

It took Fran 1.8 hours to drive to her​ mother's house on Saturday morning. On her return trip on Sunday ​night, traffic was​ he

avier, so the trip took her 2 hours. Her average speed on Sunday was 6 mph slower than on Saturday. What was her average speed on Sunday​?
Mathematics
1 answer:
cupoosta [38]3 years ago
7 0

Answer:

  54 mph

Step-by-step explanation:

Let s represent the slower speed. The product of speed and time is distance, which did not change between the two trips. So, we have ...

  1.8(s +6) = 2(s)

  10.8 = 0.2s . . . . eliminate parentheses, subtract 1.8s

  54 = s . . . . . . . . divide by 0.2

Fran's average speed on Sunday was 54 miles per hour.

____

Her trip was 108 miles long.

You might be interested in
2. Write an equation of the line in<br> slope-intercept form.<br> (5, 3)<br> 2<br> f(0, -1)
Leona [35]

Answer:

We need to use

Step-by-step explanation:

We have to use the equation for passing through the points known as

y2-y1/x2-x1

-1-3/0-5= -4/-5

the answer is 4/5

decimal: 0.8

7 0
2 years ago
Suppose you pay a dollar to roll two dice. if you roll 5 or a 6 you Get your dollar back +2 more just like it the goal will be t
LiRa [457]

Answer:

(a)$67

(b)You are expected to win 56 Times

(c)You are expected to lose 44 Times

Step-by-step explanation:

The sample space for the event of rolling two dice is presented below

(1,1), (2,1), (3,1), (4,1), (5,1), (6,1)\\(1,2), (2,2), (3,2), (4,2), (5,2), (6,2)\\(1,3), (2,3), (3,3), (4,3), (5,3), (6,3)\\(1,4), (2,4), (3,4), (4,4), (5,4), (6,4)\\(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)\\(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)

Total number of outcomes =36

The event of rolling a 5 or a 6 are:

(5,1), (6,1)\\ (5,2), (6,2)\\( (5,3), (6,3)\\ (5,4), (6,4)\\(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)\\(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)

Number of outcomes =20

Therefore:

P(rolling a 5 or a 6)  =\dfrac{20}{36}

The probability distribution of this event is given as follows.

\left|\begin{array}{c|c|c}$Amount Won(x)&-\$1&\$2\\&\\P(x)&\dfrac{16}{36}&\dfrac{20}{36}\end{array}\right|

First, we determine the expected Value of this event.

Expected Value

=(-\$1\times \frac{16}{36})+ (\$2\times \frac{20}{36})\\=\$0.67

Therefore, if the game is played 100 times,

Expected Profit =$0.67 X 100 =$67

If you play the game 100 times, you can expect to win $67.

(b)

Probability of Winning  =\dfrac{20}{36}

If the game is played 100 times

Number of times expected to win

=\dfrac{20}{36} \times 100\\=56$ times

Therefore, number of times expected to loose

= 100-56

=44 times

8 0
3 years ago
Simplify this expression.<br> <img src="https://tex.z-dn.net/?f=2%5Csqrt5%2813%2B%5Csqrt2%29" id="TexFormula1" title="2\sqrt5(13
andreyandreev [35.5K]

Step-by-step explanation:

everything can be found in the picture

5 0
2 years ago
Read 2 more answers
What is the quotient of d − 2 √ d 4 − 5 d 3 + d + 17
Tcecarenko [31]

Answer: d^3 - 3d^2-5

Step-by-step explanation:

For finding the quotient of the given division,

In the long division method, we will follow the following steps.

Step 1 : Here the divisor is d-2 and dividend is d^4-5 d^3 + d + 17

Multiply (d-2) by d^3  and subtract the dividend by the resultant.

We get -3d^3+d

Step 2: Multiply (d-2) by -3d^2  and subtract the remaining dividend by the resultant.

We get  -5d^2+17

Step 3 : Multiply (d-2) by -5  and subtract the remaining dividend by the resultant.

We get  7

Since, after getting 7 it is not possible further division,

Hence, Remainder = 7,

Quotient = sum of all expression by that we multiply (d-2) = d^3 - 3d^2-5

4 0
3 years ago
If a student scored 75 points on a test where the mean score was 83.5 and the standard deviation was 6.1. the student's z score
Delvig [45]

Answer: ( -1.5)

have a nice day:)

8 0
3 years ago
Read 2 more answers
Other questions:
  • 329ml in the ratio 27:20
    9·1 answer
  • Yogurt normally costs $12.50 per carton.today it is 25% off.what is the price today?​
    8·1 answer
  • Calculate the area of this circle please
    13·1 answer
  • I don't get how any of these answers could be it.
    13·1 answer
  • Pleaseeee help
    10·1 answer
  • Find the value of x.<br> F<br> 8<br> E<br> Х<br> Н.<br> Х<br> -
    6·1 answer
  • Vector u has its initial point at (21,12) and its terminal point at (19,-8). Vector v has a direction opposite that of u, whose
    11·1 answer
  • What are 3 real-world applications of matrices?
    14·1 answer
  • Find the slope of the line for the points (-3, 6) and (1,-3)
    10·2 answers
  • What does 1/4 of a can of coffee cost if 4 cans of coffee cost $2. 40?.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!