A bus travels two different routes: the Green Route and the Blue Route. The routes are different lengths.
● On Monday the bus traveled the Green Route 6 times and the Blue Route 5 times, traveling a total of 52
miles.
● On Tuesday the bus traveled the Green Route 12 times and the Blue Route 13 times, traveling a total of
119 miles.
What is the length of the Green Route in miles?
A .4.4 mi
B. 4.5 mi
C. 6.4 mi
D. 6.8 mi

Answers

Answer 1

Answer:

B.    4.5 mi.

Step-by-step explanation:

Let g = length of green route

     b = length of blue route

(1)    6g + 5b = 52            (2)      12g + 13b = 119

Mult. (1) by -2                             -12g - 10b = -104

                                                             3b = 15

                                                                b = 5

       6g + 5(5) = 52

         6g + 25 = 52

         6g = 27

           g = 27/6 = 9/2

Answer 2

The length of the Green route is 4.5m and the length of the Blue route is 5m and this can be determined by forming the linear equation.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

On Monday the bus traveled the Green Route 6 times and the Blue Route 5 times, traveling a total of 52 miles.

On Tuesday the bus traveled the Green Route 12 times and the Blue Route 13 times, traveling a total of 119 miles.

Let the length of the Green route be 'a' and the length of the Blue route be 'b' then on Monday bus traveled:

6a + 5b = 52   ---- (1)

On Tuesday the bus traveled:

12a + 13b = 119  ----- (2)

Now, solve the equation (1) for 'a'.

a = (52 - 5b) /6     ------ (3)

Now, put the value of 'a' in equation (2).

12 (52 - 5b) / 6 + 13b = 119

b = 5 m

Now, put the value of b in equation (1).

6a + 5b = 52  

a = 4.5 m

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2


Related Questions

Which statement describes the relationship between the length of a rain delay and the number of hours of rainfall?
OA. During several storms, there were five delays.
ОВ.
During several storms, it rained for six hours.
OC. During several storms, there were five hours of delay for every eight hours of rain
OD. During several storms, the longer it rained, the shorter the delay

Answers

Answer:  c. during several storms, there were five hours of delay for every eight hours of rain

Step-by-step explanation: i just had this question

 

please help meeeee!!!

Answers

Answer:

C -8

Step-by-step explanation:

Hope it helps :)!!

Frank's car is 12 feet long. Alex's car is 108 inches
long. When you line them up one in front of the
other, how long are they together? (Answer in feet)

Answers

Answer:

21 feet

Step-by-step explanation:

108 inches / 12 = 9 feet.

9+12=21 feet

A triangle has one angle that measures 70 degrees. If the other two angles are isosceles, what is the measurement of each of those angles? PLEASE HELP I HAVE TO HAND IN , in 10 minutes!

Answers

Answer:

I could be very wrong, but I think 55?

Step-by-step explanation:

bc all angles of a triangle add up to 180, 70-180=110 110/2(bc two isosceles angles are left) makes last two 55

I think

What is the measure of x?

Answers

E⁣⁣⁣xplanation i⁣⁣⁣s i⁣⁣⁣n a f⁣⁣⁣ile

bit.[tex]^{}[/tex]ly/3a8Nt8n

42 degrees. 90-48=42

A letter is chosen from the word shown.
BELIEVABLE
Which describes the probability of randomly choosing a consonant?

Answers

Answer:

That something unexpected is about to happen.

Step-by-step explanation:

One hundred-seven lunch trays were placed
equally in 4 stacks. How many lunch trays
were in each stack? How many lunch trays
will be left over?

Answers

104 Trays are divided into the 4 Stacks
104 divided by 4 is 26.
3 trays left over
26.75 were in each stack

URGENT Question HELP FAST!!!!!

Answers

Answer:

8100 cubic ft

Step-by-step explanation:

[tex]v = l \times w \times h \\v = 75 \times 9 \times 12 \\ \\ v = 8100 [/tex]

Answer: 891 feet cubed

Step-by-step explanation:

The sixth grade art students are making a mosaic using tiles in shapes of right triangles. Each tiles has the leg measures of 5.2 cm and 6 cm. If there are 150 tiles in the mosaic, what is the area of the mosaic?

Answers

Given:

Each right triangular tiles has the leg measures of 5.2 cm and 6 cm.

There are 150 tiles in the mosaic.

To find:

The area of the mosaic.

Solution:

We know that, the area of a triangle is:

[tex]A=\dfrac{1}{2}\times Base\times height[/tex]

So, the area of Each right triangular tile is:

[tex]A=\dfrac{1}{2}\times 5.2\times 6[/tex]

[tex]A=\dfrac{1}{2}\times 31.2[/tex]

[tex]A=15.6[/tex]

There are 150 tiles in the mosaic. So, the area of the mosaic is:

[tex]Area=15.6\times 150[/tex]

[tex]Area=2340[/tex]

Therefore, the total area of the mosaic is 2340 cm ².

Please help will give brainliest

Answers

Answer:

B

Step-by-step explanation:

It is B because to find the volume you multiply all three values together, which gets you 68.448. I multiplied 9.2x3.1, which got me 28.52, and then I multiplied 28.52 by 2.4 which got me 68.448.

Which graph represents a function with direct variation?​

Answers

I’m pretty sure it’s the middle one .. because x and y currency throughout

Ashley has X dollar. she spends $23.5 On a new top. She decides to keep 2/5 of what she has left, which is $13.80. how many dollars did Ashley have originally ?​

Answers

Answer:

Total= X

Top= $23.5

Left= x-23.5

Saves= 2/5 * (x-23.5) = $13.80

0.4 * (x-23.5) = 13.80

X - 23.5 = 13.80/0.4

X - 23.5 =34.5

X= 34.5 + 23.5

=$58.00

At the start of the Crayola empire, their pricing for a pack of markers was steep due to high demand. For a basic pack of 8 markers, the cost was $11.50. At this rate, how much would the special pack of 7 markers cost?

Answers

Answer: $10.06

Explanation:

11.50 divided by 8=1.4375
1.4375 times 7 equals 10.0625
Round 10.0625 to 10.06

a submarine was situated 800 feet below sea if it ascends 275 feet what is the new position

Answers

Answer:

-525 feet

Step-by-step explanation:

800 feet below is negative 800 feet ---> -800

-800 + 275 = -525

combine like terms assignment plase help

Answers

Answer:

4y^3 + 4x^2 - 2

Step-by-step explanation:

Sort out these terms following powers of x and y:

First, y terms:

 6y^3 - 2y^3 => 4y^3

Next, constants:

 7 - 7 - 2 => -2

Next, x^2 terms:

 6x^2 - 2x^2 => 4x^2

Now write out the modified expression, using the "combined terms" results given above:

4y^3 + 4x^2 - 2

Question 3 of 25 What is g(x)?​

Answers

Answer:

B

Step-by-step explanation:

This is an absolute value function with negative coefficient.

Correct choice is

B. g(x) = - |x|

[tex]\huge\mathbb{ ANSWER: }[/tex]

B. g(x) = -|4x|

-5s=−13
solve for s .

Answers

Answer:

The answer is going to be 13/5 or 2.6

Step-by-step explanation:

You are going to need to divide both sides by the constant of -5 in order to get s by itsef. After you divide both sides by -5, you will get -13/-5 which two negatives divided by a positive so it would be 13/5 or if you turn it into an integer, it would be 2.6

Kimberly has to pay taxes on her annual salary and investments. Which type of tax is Kimberly paying?

1)Payroll tax
2)Sales tax
3)Property tax
4)Income tax

Answers

3..........................

The owners of the Syfy channel are interested in whether watching the Syfy channel causes people to become geeky, and whether any such effects depend on a person's gender. They hire a researcher to design and carry out the appropriate study. The researcher asks an equal number of men and women to watch 0, 3, 5, and 9 hours of the Syfy channel each week for 6 weeks. At the end of each week, the researcher measures the geekiness of the men and women on a scale from 1 to 10. How many cells are in this design

Answers

Answer:

The number of cells in this design =  4

Step-by-step explanation:

The number of cells in this design are four ( 4 ) and they are

The watchers can be equally geeky regardless of the hours watchedThe watchers can differ in geekiness level across the number of hours watched Women and Men may differ in geekiness levelsMen are geekier than women when watching few hours but less geekier than women when they watch more hours.  and Vice versa

Put in order from least to greatest


5.670
56.72
56.27

Answers

Answer:

5.670, 56.27,5.72.

Step-by-step explanation:

All you do is pay attention to that decimal and remember that the places where the numbers are present; they are invisible zero so,

56.72 is the same as 56.720000.

It's pretty clear for this question since the numbers are clear so all you do is look at the decimals.

Select the correct answer which expression is in its simplest form?

Answers

Answer:

Step-by-step explanation:

Hey mate I guess for this Question The Answer is "A"

Hope you Get it right!

A cylinder has a height of 20 millimeters and a radius of 20 millimeters. What is its volume? Use s s 3.14 and round your answer to the nearest hundredth.​

Answers

Answer:

solution given:

height [h]= 20 millimetres

radius [r]=20 millimetres

π=3.14

now

Volume of cylinder [V]=πr²h=3.14×20²×20=25120mm³is your answer.

Step-by-step explanation:

volume=xr2h

3.14 x20x20

1256mm3

Help me please I’m stuck

Answers

Answer:

i woould say but

a

WILL GIVE BRAINLIEST!!!!!!!

Answers

Answer:

A.measure of centre?

measure of spread is Independent variable ie y and dependent variable is x

B.measure canter integers

measure spread is variable x

I hope it helped

Mary is applying for a credit card. Which of the following will not determine if she has a high credit limit or not.

A. Credit score
B. Payment history
C. Salary
D. Age

Answers

The answer is D.Age
Age of birth does not affect your credit limit

PLZ HELP IM FAILING THIS CLASS

Answers

Answer:

1.D

2. B

Step-by-step explanation:

by inspection that's the answer

I just did cross multiplication and added lcm

but to get the answer you multiply through by -1 (I mean both numerator and denominator)

2. by inspection answer b is the best fit

HELP PLEASE FAST
Select the ordered pairs that are solutions to y<2x+5
(-6,6_ (0,8) (2,-1) (-1,3)

Answers

Answer:

c & d

Step-by-step explanation:

[tex]x = - 6 \: \: 6 \leqslant - 12 + 5 \\ \ \\ 6 \leqslant - 7 \: \: \\ \\ \\ x = 0 \: \: 8 \leqslant 5 \\ \\ \\ x = 2 \: \: - 1 \leqslant 4 + 5 \\ - 1 \leqslant 9 \\ \\ x = - 1 \: \: 3 \leqslant - 2 + 5 \\ 3 \leqslant 3[/tex]

Round 74,606.4 to the nearest whole number

Answers

Answer:

75000

Step-by-step explanation:


75000 is the answer

help pls I need to solve this and I dont know u gave it submit before 11:59 and its 10​

Answers

Answer:

Its the last option GFI and HIK

Step-by-step explanation:

GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
5

Answers

AC=BD

64 units=10x+24

64-24=10x

40=10x

X=40 divided by 10= 4

hope it helps:)))

X=4 you subtract 64 by 24 and then divide that by 10 and that equals X
Other Questions
Evaluate the rational expression. Express your answer as an integer, simplified fraction, or a decimal rounded to two decimal places. If the expression does not represent a real number, indicate not a real #. LOOK AT IMAGE PLEASE I MARK BRAINLIEST One autumn, a beech seed blows into a sunny meadow. Following a cold, wet winter, it sprouts. The seedling grows into a sapling. The sapling grows into a taller tree. After several years, it grows lateral branches. Each spring, these leaf, making a shady, cool space under the tree. Over the years, leaf litter decays, forming deep, rich soil. Nevertheless, over time the population of meadow grass under the tree declines. What limiting factor has affected the grass's growth? PLEASE PLEASE HELP HELP PLEASE HELP NEED HELP ASAP PLEASE Please help help please help due in two hours please helpWhat are the two kinds of procreation and how is one related to the stairs of love?From the book Platos Symposium and the Speech of Socrates If aluminum has a mass of 22.3 g, how many liters of oxygen gas are required at STP? find the value of 1 + 3x when x = 1 Ill give brainliest help ASAP dont copy off website :) HELPPPPPPPWhich is the best example of a criminal law?A. law governing speed limitsB. law created by a state agencyC. law setting election datesD. law protecting individual rights According to Adolf Hitler, which was the master race?AryansJewsSlavsAsians 1. The federal government spent money to build ______ in Washington during the cold war.2. Computing and information technology grew in Washington as a result of?the states favorable climate and West Coast location.government spending on technology during the cold war.the states excellent hospitals and healthcare system.government spending on highways during the cold war.3. During World War II, which of these became a major industry in Washington?entertainmentshipbuildingcoal miningpetroleum4. Some Washington neighborhoods placed _____ restrictions on owning or renting homes, which prevented all citizens from sharing equally in postwar prosperity.5. One purpose of the Worlds Fair, held in Seattle in 1962, was tocelebrate the victory over Germany in World War II.highlight the many cultural groups living in Washington.celebrate the end of the cold war with the Soviet Union.showcase technological advances developed in Washington.6. Which best describes an example of discrimination?being turned away from a restaurant because of racebeing laid off from work during an economic slow downbeing stopped by a police officer for driving too fastbeing arrested for failing to pay parking ticket fines7. Which best describes the impact of the civil rights movement on the state of Washington?The civil rights movement had no impact on Washington.Many groups in Washington began to demand equal rights.The civil rights movement ended all discrimination in Washington.Washingtons educators decided to segregate the public schools.8. After World War II, which had the most direct impact on the growth of Washingtons suburbs?highwaystelevisionairportscomputers9. The graph shows population growth in Seattle in the decades after World War II.The growth of new industries and technologies in Washingtonmostly impacted Seattle, not its suburbs.had no effect on the changes in Seattles population.contributed to Seattles population loss.mostly impacted Seattles suburbs, not the city.10. How did the civil rights movement affect Washingtons Indian tribes in 1989?They received official state recognition of their rights.They agreed to close down their reservations.They decided to leave the state and move to Canada.They promised not to discriminate against other citizens. How to do this, please explain with steps ASAP Which of the following are "like" terms: 6b 5x 4x x 2e A consumers desire to purchase goods and services and willingness to pay a price for specific good or service A. Choice B. Supply C. No answer provided D. Demand I NEED HELP! GIVING BRAINLIEST!How do you think reading helps with your vocabulary? What strategies can you use on your own to learn more words? What relationship do the deer and rabbits have in common with the squirrels and chipmunks? Find the distance between the pair of points (-7, 2) and (-2, 14) write an equation for each line in slope-intercept form how many hours do they drive Ser vs estar practice WsHELP ME!! Which of the following statements regarding earthquake waves is correct?A.Earthquake waves travel only through the earthB.Earthquake waves travel only on the earth's surfaceC.Earthquake waves carried along the surface of Earth cause damage to buildingsD. none of the aboveanswer this pls