Two buses leave a station at the same time and travel in opposite directions. One bus travels 17 mi/h slower than the other. If the two buses are 345 miles apart after 3 hours, what is the rate of each bus? Please help!

Answers

Answer 1

Answer:

...,....................

Answer 2

Answer:

one bus travels at 66mi/hr and the other bus at 49mi/hr

Step-by-step explanation:

Let's assume one bus, A is traveling at x mi/hr and the other bus, B at x+17 mi/hr

after 3hrs, bus A will have covered 3x miles and bus B will have covered 3(x+17) miles.

the buses are 345 mils apart but from the same origin,

meaning Distance of A + Distance of B =345 miles

3x+3(x+17)=345

x=49

for bus A

and x+17=66 for bus B


Related Questions

A bakery must pay the state 8% sales tax on this week's total sales of $2,050. How much sales tax will the bakery pay to the state for this week?

A. $164.00


B. $164.00


C. $256.25


D. $256.25

Answers

164.00 is your answer

Hope it helps!

Please mark Brainliest if possible I’m just one away, thanks if you can

(WORTH 100 POINTS)On Monday, Latrena sent an email to 5 friends. On Tuesday, each of those friends sent an email to 5 different friends. On Wednesday, each person who received an email on Tuesday sent an email to 5 different friends. How many friends received an email on Wednesday? Enter your answer as a power by filling in the boxes.

Answers

Answer:

5 to the power of 3

Step-by-step explanation:

I took the K12 test :)

The number of friends who received an email on Wednesday can be obtained using the exponential relation between the initial number of mails and the number of days elapsed, which is 125 .

The initial number of friends who received an email = 5 friends.

Number of days elapsed from Monday to Wednesday = 3 days

The Number of people who received a mail on Wednesday can be expressed thus :

5³ = 5 × 5 × 5 = 125 friends.

Therefore, 125 friends received an email on Wednesday.

Learn more : https://brainly.com/question/18796573

Write that down the equation for the lines that is the graphs are depicted below

PLZ HELP 20 points

Answers

A(1,2)

Find slope of line (m)

[tex]\\ \sf\longmapsto m=\dfrac{2-0}{1-0}[/tex]

[tex]\\ \sf\longmapsto m=2[/tex]

Putting in y=mx+b

[tex]\\ \sf\longmapsto y=mx+b[/tex]

[tex]\\ \sf\longmapsto 2=2(1)+b[/tex]

[tex]\\ \sf\longmapsto 2=2+b[/tex]

[tex]\\ \sf\longmapsto b=2-2=0[/tex]

Equation of the line

[tex]\\ \sf\longmapsto y=2x[/tex]

Answer:

y = 2x

Step-by-step explanation:

The line passes through the origin and holds the point A(1, 2).

This is a proportional relationship:

y = kx

Considering the coordinates of the point A:

2 = 1*k ⇒ k = 2

The line is:

y = 2x

Select all that are equivalent to
Assume a not equal to 0
***please answer fast***

Answers

Answer:

1 and 3

Step-by-step explanation:

This simplifies by cancelling out the lesser, so it is 1/a^7

can also be simplified to a^-7

Answer:

Options 1 & 3

Step-by-step explanation:

Hope it helps!

Please show step by step. I will chose Brainlyest once it lets me. 5 s and thanks too. Please answer ASAP.

Answers

216 square ft (?)

20/1 x 33/4 ( 9 1/4) = 5/1 x 33/1= 216\1

=216 (?)
Hope that helped

f(x)=10-9/2x
if f(x)=-53x find x

Answers

Answer:

x = -20/97

Step-by-step explanation:

f(x) = -53x is your output

so -53x = 10-9/2x

-53x - 10 = -9/2x

lets clear the fraction by multiplying each side by 2

-106x - 20 = -9x

-97x = 20

x = -20/97

When f(x) is equal to -53x, the value of x is approximately -0.2062. To find the value of x when f(x) is equal to -53x, we can set the two expressions equal to each other and solve for x:

Given: f(x) = 10 - (9/2)x , And: f(x) = -53x

Setting them equal to each other: 10 - (9/2)x = -53x

To solve for x, let's first get rid of the fraction. We can do this by multiplying the entire equation by 2: 2 * (10 - (9/2)x) = 2 * (-53x)

20 - 9x = -106x

Now, let's isolate the variable x on one side of the equation. Let's move the -9x term to the other side by adding 9x to both sides:

20 - 9x + 9x = -106x + 9x

20 = -97x

Finally, to find x, divide both sides by -97: x = 20 / -97

x ≈ -0.2062 (rounded to 4 decimal places)

So, when f(x) is equal to -53x, the value of x is approximately -0.2062.

To know more about expressions :

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How to simplify the following expressions?
1. 6x-3y+8x-(-4y-3y)
2. 1+8a/4-3+2a

Answers

Answer with Step-by-step explanation:

1. 6x-3y+8x-(-4y-3y)

14x-3y+4y+3y

14x+4y

1+8a/4-3+2a

-2+2a-2a

-2a

Use function notation to write the equation of the line
please asap

Answers

Answer:

b

Step-by-step explanation:

b

1.25(−3.6)
??????????????????????????

Answers

Answer:

-4.5

Step-by-step explanation:

Answer:

-4.5

Step-by-step explanation:

1. Multiply 1.25 by -3.6:

[tex]1.25 * (-3.6)[/tex] [tex]-4.5[/tex]

HELP LAST ATTEMPT !?!!!!!

Answers

Answer:

x=31

Step-by-step explanation:

2x+1=63 [Vertically opposite angles]

2x=63-1

x=62/2

x=31

A side of a square is 10 cm longer than the side of an equilateral triangle. The perimeter of the square is 3 times the perimeter of the triangle. Select the equation that represents the scenario when x represents the side of the triangle.

Answers

Here's the solution :

Side of the equilateral triangle = x

Side of square = x + 10

perimeter of equilateral triangle = 3 × x = 3x

perimeter of square = 4 × (x + 10)

now, according to above statement :

permission (square) = 3 × perimeter (triangle)

that is :

[tex]4(x + 10) = 3 \times 3x[/tex]

[tex]4x + 40 = 9x[/tex]

[tex]9x - 4x = 40[/tex]

[tex]5x = 40[/tex]

[tex]x = 8[/tex]

therefore, side of triangle = 8 cm

perimeter (triangle) = 8 × 3 = 24 cm

side of square = 8 + 10 = 18 cm

perimeter of square= 18 × 4 = 72 xm

Answer:

Let the side of the equilateral triangle = x

so the side of the square =  x+10

The perimeter of the triangle = 3x

and the perimeter of the square = 4(x+10)

condition : the perimeter of the square is 3 times the perimeter of the triangle.

so, 4(x+10) =  3*(3x)

Step-by-step explanation:

PLEASE HELP HELP

Referring to the Fig. in Question #31, the spinner is divided
into equal parts. What is the probability of
stopping on a multiple of 3?

Answers

Answer:75 ithink

Step-by-step explanation:

When Sharon graduates from college, she accepts a job that pays $30,000 for the
first year with a promise of a 10% raise at the beginning of each of the next 9 years.
Samantha graduates the same year and accepts a job which pays $40,000 the first
year with a raise of $1,000 at the beginning of the next 9 years.
а
In which year will Sharon's annual salary first exceed Samantha

Answers

Answer:

year 6

Step-by-step explanation:

she will be at 48,000

the other girl will be at 46,000

The year in which the salary Sharon's first exceeds Samantha's salary if,  is the 5th year Sharon graduates from college, she accepts a job that pays $30,000 for the is 5 years.

What is percentage?

A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.

Given:

Sharon's pay = $30000,

Raise percentage = 10%,

Samantha pays = $40000,

Raise by  = $1000,

Calculate Sharon's pay as shown below,

Sharon's pay  = 30000(1 + 0.10)⁴

Sharon's pay  = 30000 × 1.77

Sharon's pay  = $43923

Calculate pay of Samantha after 4 years,

The pay of Samantha = 40000 + 4 × 1000

The pay of Samantha = $44000

Thus, Sharon's annual salary first exceeds Samantha's after 4 years.

To know more about percentages:

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Graph the linear function:
r(x)=2

Answers

i dont know

[tex] = 3 \sqrt[5]{3} [/tex]

Whats 4+4+(6x168) and the answer in Spanish

Answers

It’s he alive in the bath it’s not
It's 1016, which in spanish would be: mil dieciséis.

The ABC manufacturing firm, the average withdrawal rate for product A is 20
cartons per day, safety stock is 5 days, order lead time is 10 days, and the
order quantity is 45 days.

Requirement: What are the maximum and average quantities of unit loads to be
stored? (Please help me solve this exercise in detail about the requirements of the question)

Answers

???????????????????????

Step-by-step explanation:

???????

Answer:

Answer:J is between H and K. If HJ=6x-5, JK=4x-6 and KH= 129, find the value of HJ

Explanation:J is between H and K. If HJ=6x-5, JK=4x-6 and KH= 129, find the value of HJ

Step-by-step explanation:

mark me as the brainliest

Watch help video
Christian is driving on a long road trip. He currently has 12 gallons of gas in his car.
Each hour that he drives, his car uses up 1.25 gallons of gas. How much gas would be
in the tank after driving for 6 hours? How much gas would be left after t hours?
Gas left after 6 hours:
Gas left after t hours:
Submit Answer
attempt 1 out of 2 / problem 1 out of max 1
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Answers

Answer:

Gas left after 6 hours: 4.5 gallons

Step-by-step explanation:

multiply 1.25 by 6 which will be 7.50

then subtract 7.50 from 12 which will be 4.50

i think :)

Solve the following expression when
v = 10 and e= 5
2v ÷ e + 3​

Answers

Answer: 7

Step-by-step explanation:

[tex]2(10) \div 5 +3\\\\20 \div 5 + 3\\\\4+3\\\\\boxed{7}[/tex]

When converted to a household measurement, 9 kilograms is approximately equal to a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.

Answers

Answer:

a) 9000 gam

Step-by-step explanation:

Answer:

a) 9000 grams

Step-by-step explanation:

1 kg=1000 g

9*1000=9000

a service company charges a 5% service fee

Answers

Answeis  is that

is that the whole qeustion

Step-by-step explanation:

where is the image

what's the answer to
-12(d-5)-29=43​

Answers

Answer:

d=-1

Step-by-step explanation:

The answer would be d = -1

Find (f^-1)'(7) without finding the inverse function where f(x) = 5 – 2x^3.

Answers

Step-by-step explanation:

the derivative of an inverse function is

1/f'(f^-1(x))

f'(x) = -6x²

f^-1(7) is solving the original function equation for x under the knowledge that y = 7

7 = 5 - 2x³

2 = -2x³

-1 = x³

=>

x = -1

f'(-1) = -6×(-1)² = -6×1 = -6

so,

(f^-1)'(7) = -1/6

An election is over and a new student body president has been elected. The new president received 3 votes for every vote received by his opponent. The new president received 2193 votes. How many votes did his opponent receive?

Answers

731 votes. Explanation: if his votes are 3:1 of his opponent’s votes. Divide 2193 by 3 to get 731 votes

A letter use to represent a number value is called

Answers

Answer:

A variable

Step-by-step explanation:

Frankie charges 30$ per week for tutoring plus a 10$ sign up fee. Complete the table to show the relationship, then graph the table of values. WILL GIVE BRAINLIEST pls no bs answers

Answers

Answer:Answer:

8

Step-by-step explanation:

10(8) + 20 = 120

15 (8) = 120

How much more money do the employees from Hideaway Pizza make at
the end of the month than the employees at Red & Blue's? Round your
answer to the nearest hundredth.

Answers

Supposing linear functions for both cases, it is found that employees at Hideaway pizza make $250 more at the end of the month.

--------------------

The salary, in dollars, for x days of work at Hideaway pizza is of:

[tex]S_h(x) = 300 + 40x[/tex]

At Red & Blue's, it is of:

[tex]S_r(x) = 500 + 25x[/tex]

A month is 30 days, so, the salaries are:

[tex]S_h(30) = 300 + 40(30) = 300 + 1200 = 1500[/tex]

[tex]S_r = 500 + 25(30) = 500 + 750 = 1250[/tex]

1500 - 1250 = 250, thus:

Employees at Hideaway Pizza make $250 more at the end of the month.

A similar problem is given at https://brainly.com/question/24610273

A student's height is measured as 66 in. to the nearest inch. What are the
student's minimum and maximum possible heights?

Answers

The minimum height is 65.5in and the maximum height is 66.4in

Which of the following represents, "The difference between a number and elght Is twenty-two"?
A. N-8=22
B. 8 - N= 22
C. 8 - 22 N

Answers

Answer:

A.

Step-by-step explanation:

The difference means subtraction. The number mean a variable which is N. Then it is 8 (is means equal sign). Then 22 is the answer. The answer is         N-8=22.

Have a great day!

Sorry forgot the to put the question in.

Answers

Answer:

-2/3 rational i/2 irrational 0.7 rational √5 irrational √ 16 irrational 0 whole number 3.89 rational -4 integer

Step--by-step explanation:√ 5 rational or irrational

Natural Number: -2/3, 0.7,√16, 0, -4

Whole Number: 0.7,√16 0

Integers: -2/3, 0.7,√16,0, -4

Rational Number: -2/3, 0.7, √16,0, -4

Irrational Number: π/2, √5,

If f(n) = -3n + 10 what is the 5th term???

Answers

Equal gn to zero making the answer -3/10
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