Rewrite the expression in the form b ^ n (b ^

Wendy took a trip from city A to city B, a distance of 220 mi. She traveled part of the way by bus, which arrived at the train s

Sphinxa [80]

Answer:

1.72 hours on the train.

Step-by-step explanation:

The distance between the two cities is 220 miles. Therefore the sum of the bus and train distances is 220 miles. Let x be the distance by train and y the distance by bus: x + y = 220

Bus speed was 30 mph and train speed was 85 mph. The whole trip was 5 1/2 hours, that is 5.5 hours.

We have to, the bus distance would be equal to:

y = 260 - x

speed equals distance over time, like so:

v = d / t; if we rearrange for time

t = d / v, we can do another equality, since we know that the total time is 5.5 hours

5.5 = x / 85 + (260 - x) / 30; reorganizing we have left that:

(30 * x + 85 * 260 - 85x) / 85 * 30 = 5.5

Solving:

-55 * = 2550 * 5.5 - 22100

x = 146.81

146.81 miles would be the train distance.

To find the time, we divide by the speed of the train which is 85 mph:

146.81 / 85 = 1.72 h

We buy, with the equation the time:

146.81 / 85 + (260 - 146.81) / 30 = 5.5 hours

Therefore, Wendy takes 1.72 hours on the train.

6 0

3 years ago

Which of the following is equivalent to -4(X + 8)?

o-na [289]

Answer:

None of the above. -4x - 32

Step-by-step explanation:

-4(X + 8)

Distribute -4

-4x + 32 (8 × 4 =32)

4 0

3 years ago

The number of adult tickets is the same as the number of child (age5-12)tickets.A total of 38 tickets was purchased. What is the

Nutka1998 [239]

Answer:

$760

Step-by-step explanation:

The number of adult ticket is the same as the number of (age 5-12) tickets.

Let the number of adult ticket be x

Number of (age 5-12) tickets be x

Total ticket sold = 38

x + x = 38

2x = 38

x = 19

Cost of each adult ticket = $23

Total cost for 19 such tickets = 23×19

= $437

Cost of each (age 5-12) ticket = $17

Total cost for 19 such tickets = 19×17

= $323

Total cost of 38 tickets = 437 + 323

= $760

Hence, the total cost of tickets is $760

Step-by-step explanation:

6 0

4 years ago

Richard's cumulative GPA for 3 semesters_ was 2.0 for 42 credits. His fourth semester GPA was 4.0 for 14 course units. What is R

Phoenix [80]

Answer:

Richard's cumulative GPA = 2.5

Step-by-step explanation:

Richard's cumulative GPA for 3 semesters was 2.0 for 42 credits.

Average = 2

Total credits = 42

Average = sum of terms/total no of terms

2 = sum of terms/42

sum of terms = 84 ....(1)

His fourth semester GPA was 4.0 for 14 course units

Average = 4

Total credits = 14

sum of terms = 56 .....(2)

Average for 4 semesters,

$A=\dfrac{84+56}{42+14}\\\\A=2.5$

Hence, Richard's cumulative GPA for all 4 semesters is 2.5.

8 0

3 years ago

I opened a grocery account at my bank with $250. Every week thereafter, I withdraw $90 from the account to pay for groceries. If

Ksenya-84 [330]

Answer:

y= -90x+250

Step-by-step explanation:

From the information given, the equation would be that the amount in the account would be equal to -90 that is the amount you withdraw from the account each week multiply for x that is the number of weeks plus $250 that is your initial balance:

y= -90x+250, where

y= amount in the account

x= number of weeks.

7 0

3 years ago

Rewrite the expression in the form b ^ n (b ^ - 2)/(b ^ 4) =