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?

Answers

Answer 1

Set up a system of equations and say green route is x and blue route is y

This will give you

Monday 6x + 5y= 52

Tuesday 12x + 13y = 119

Solve by multiplying the top equation by two to get

12x + 10y= 104

Since you have 12x in both equations, these cancel out when you subtract the bottom from the top. This leaves you with

-3y=-15

Y=5

The blue route is 5 miles, but they want to know the green route. Fill in the y value in either one of your equations. Let’s use the one from Tuesday

12x + 13 (5) = 119

12x= 54

X= 4.5

This means that the answer is 4.5 miles

Answer 2

The length of the Green Route in miles is 4.5 miles.

Formulate an equation for Monday and Tuesday

Monday

6x + 5y= 52............Equation 1

Tuesday

12x + 13y = 119............Equation 2

Multiply the equation  

12x + 10y= 104

-3y=-15

Divide both side by 3y

y=15/3

y=5

Plug in 5 into equation 2

12x + 13 (5) = 119

12x+65=119

12x=119-65

12x= 54

Divide both side by 12x

x=54/12

x= 4.5 miles

Inconclusion the length of the Green Route in miles is 4.5 miles.

Learn more about length here:https://brainly.com/question/24259483


Related Questions

You need a piece of paper to measure 65.31 cm. If you tape two together that each measure 38.9, how much do you need to cut off?

Answers

Answer:

12.49 cm

Step-by-step explanation:

One paper is 38.9, so two papers are 77.8 cm.

To find the length you need to cut off, you need to find how much extra you have.

77.8 - 65.31 = 12.49 cm

Answer:

you would need cut off 12.49cm of paper

Step-by-step explanation:

Help please! math question!! will give 20 points and brainliest!!

Answers

An equation to find the dimensions of his backyard is 116 divided by 4
that makes his backyard 29 feet on each side if his backyard is a perfect square.
No, his backyard is not big enough for a pool that is 900 feet.
if you multiply 29x29 (to find the area of his back yard), the area is 841 feet, which makes his backyard too small for a pool that big

I also need help on these last 2(number 20 and 9)

Answers

Answer: number 4 the last option

Step-by-step explanation: too lazy to write it out.... 0-0

ANSWER: D.)

EXPLANATION: I took the quiz

2 x 10
i need help pls

Answers

2 x 10 = 20

Geniussss

SHOW UR WORK!!! WILL GIVE BRAINLEST
The right hexagonal pyramid has a hexagon base with equal-length sides. The lateral faces of the pyramid are all triangles (that are exact copies of one another) with heights of 18 ft. Find the surface area of the pyramid.

Answers

I don’t know sorry I can’t help at least you found one

At the ice cream shop, there are 12 shakes sold for every 4 malts.
What is the ratio of malts to shakes?

Answers

4;12
4 to 12
Or Simplified
1:3

An investor buys $15,000 worth of stocks. The price of one kind of stock is $35 per share, and the price of the other kind of stock is $45 per share. If 100 shares of the more expensive stock was bought, find the number of shares of the cheaper stock bought.

Answers

Answer:

300

Step-by-step explanation:

Three salesmen work for the same company, selling the same product. And, although they are all gold on
a weekly basis, each salesman earns his paycheck differently
Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of
$1,300
Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits
on the amount of commission he can earn
Salesman C does not corn any commission. His weekly salary is $900,
Suppose Salesmen A and B have the same number of sales and earn the same amount in Week of this
month. How many sales must they both have had?

Answers

Answer:

none of them are proportional.  proportional would mean that they would earn 10 times as much if they sold 10 times as much.  

A = 65 s  maximum of 1300

B = 300 + 40 s

C = 900

Step-by-step explanation:

Need help again. ummm take your time please no rush!

Answers

Answer: The second one y=46/13x

Step-by-step explanation:

Answer:

y = 46/13x

Step-by-step explanation:

COME GET SOME COINS >:)

Answers

Answer:

ok lol

Step-by-step explanation:

Answer:

yes please

Step-by-step explanation:

The figure below shows the quotient of Fraction 2 over 5 divided by Fraction 1 over 10.

Answers

Answer:

3

Step-by-step explanation:3

2/5 / 1/10

2/5*10/1= 20/5

Explain step by step how to do 10.25 x .15.

Answers

Answer:

1.5375

Step-by-step explanation:

Multiply without the decimal points, then put the decimal point in the final answer

1025 x 15 = 15375

....

10.25 has TWO decimal places

0.15 has TWO decimal places

Therefore, when you multiply with the decimal points (10.25 x 0.15), the answer should have FOUR total decimal places.

So the answer is 1.5375

Yes that is the answer

A submarine descended 500 feet below sea level. It then descended another 275 feet. Write and then evaluate a subtraction expression to determine the new position of the submarine.

Answers

Answer:

-500-275= -775

or

-500+-275=-775

Step-by-step explanation:

you could also do:
0-500-275=-775

please help!!!!!! i really need it thanks.

Answers

I I can’t even see the question
Sorry
Can’t answer

Answer:

number 1 is d

number 2 is c

Starting at 1:00 p.m., the temperature changes −4 degrees Fahrenheit per hour. Write and solve an equation to find how many hours x it will take to reach −1°F.

I NEED AN EQUATION NOT AN ANSWER

Answers

Answer:

3 hours ?

Step-by-step explanation:

PLEASE HELP! WILL GET BRAINLY!!

Answers

Answer:

x = 30°

Step-by-step explanation:

m∠ONK = 180° (straight angle)

∠ONM + ∠MNL + ∠LNK = 180° (supplementary angles)

105° + 45° + m∠LNK = 180° (substitution)

m∠LNK = 30°   (algebra)

m∠LNK + m∠NLK + m∠LKN = 180°   (sum of interior angles of a triangle)

30° + 90° + 2x = 180° (substitution, m∠NLK = 90° bc supplementary angles; other supp. angle is 90°)

120° + 2x = 180°

2x            = 60°

x              = 30°

X=30. I hope it helps

Anybody need help with some work?
Don't feel like scrolling thru the thing so just put them here lol
Doesn't matter what subject.

Answers

Answer:

nope. im done with school :D

Step-by-step explanation:

Answer:

what is the word called for angles that form a straight line and are supplementary

Write in the missing temutures help please

Answers

Answer: 60, 0, -8, -14

Step-by-step explanation:

YW BRAINLIEST PLEASE

Answer:

1. 60

2. 0

3. -8

4. -14

Step-by-step explanation:

PLEASE MAKE SURE HELP ME!

Answers

Answer:

1. The first problem is wrong, it should be 0.5(3(15) + 2(20)) because the parentheses make sure that every purchased item is being divided by 2 (multiplying by 0.5 is the same as dividing by 2)

2. The second problem is partially correct. The first two answers you have checked are correct, but the last one is wrong. The third answer should be 6 + 12 instead because that's just a simplified version of 2(3) + 6(2), meaning they are equal

3. I cannot read your answers in the "Why or Why Not" column in the third problem, but the answers you gave in the "Evaluate" and "Does It Work?" columns are all correct.

Trapezoid ABCD is congruent to trapezoid A′′B′′C′′D′′ .

Which sequence of transformations could have been used to transform trapezoid ABCD to produce ​ trapezoid A′′B′′C′′D′′ ​ ?


​ Trapezoid ABCD ​ was translated 7 units up and then 12 units left.

​ Trapezoid ABCD ​ was reflected across the y-axis and then across the x-axis.

​ Trapezoid ABCD ​ was reflected across the y-axis and then translated 7 units up.

​ Trapezoid ABCD ​ was reflected across the x-axis and then across the y-axis.

Answers

Answer:

It's B). Trapezoid ABCD ​ was reflected across the y-axis and then translated 7 units up.

Step-by-step explanation:

just took the test

Kimberly cuts 6 pieces of tape, each 4/5m long, from a roll of tape 5 m long. how many meters of tape are left in the roll?

Answers

Answer:

Kimberly would have 1/5m of the tape left in the roll.

Step-by-step explanation:

Multiply 4/5 by 6 then subtract that answer from 5m.

You found the answer you see

find the surface area, please

Answers

Answer:

52 cm^2

Step-by-step explanation:

6+12+8+26

26x2=52

Answer:24 or 32

i hope this helps and stay safe!!!!! <3

look at the picture! PLEASE I NEED IT NOW
Thanks.

Answers

Answer:

t's 11 weeks because if you multiply 20*11 you get 220 then add 80 and you have $300

Step-by-step explanation:

D because you get 300$

PLZZZ 15 points and BRAINLIEST
A pharmacist mixes two different strengths of peroxide. If she mixes a 1% with a 9% solution to obtain 60mL of a 4% solution, how many mL of each type of solution does she need?

Answers

Pretty sure it’s 8.4 ml

Explanation:

Add all the percentages=14%

Divide 14% by 60ml
* EX. How to calculate percentage of a number. Use the percentage formula: P% * X = Y
Convert the problem to an equation using the percentage formula: P% * X = Y.
P is 10%, X is 150, so the equation is 10% * 150 = Y.
Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.*
You get 8.4ml

Identify the DOMAIN for the ordered pairs

Answers

(-∞, -3) u (-3,-1) u (-1,1) u (1, ∞)
A=1 b=1.5c=-1.5d=1 hope that helps

Is Y rational? Explain.

Answers

Yes
Explanation: because I’m SMART ☺️

Daniella has a baking pan shaped like a rectangular prism. It measures 16in. wide and 3.75 in. high. If the volume of Daniella’s pan is 1,050 in. , what is its length?

Answers

Answer:

17.5, or 35/2

Step-by-step explanation:

First of all, the formula for volume is V=lwh. Replace V with 1050, w with 16m, and h with 3.75, since these values are already given.

The equation should look like this:

1050 = l*16*3.75

By solving for l, you'll get 17.5, or 35/2

That’s a good answer I did and what I did it was good

Ramon has 2/3 cup of cake mix. If each cake requires
2/3 cup of cake mix, how many cakes can Ramon make using all the mix?

Answers

He can only make 1 cake
1 because he has 2/3 cup of cake mix and you need 2/3 to make one cake. Therefore it is 1

plz someone help me with this problem

Answers

D

I hope this helps!!!

what is 257x50=


what is the anserw

Answers

Answer:

12,850

Step-by-step explanation:

The answer is 12,850
Other Questions
PPLLLLLLLLEEEEEEEAAASSSEEE HELP ME find the slope of the line that passes through the two given points (-5,7)and (3,-1) 3 facts about "What is a Hurricane"? Plssss answer ASAP!!!!!! why is the earth called the water plant Do you need to borrow a pencil? what the pronoun Find the length of the rectangle if the perimeter is 244 yards the length is 18 less than three times the width? Megan's room was remodeled. The new area of the room is 175% of the previous area. Only the length of the room changed. The width of the original room is 4m and the length of the original room is 4m. If the new room adds X to the length, what is the new expression for the new area? How many square meters has Megan's room increased? Explain how you solved the new area. The length of a rectangle is 4 meters less than twice it's width. If the area of the rectangle is 96 inches, what is the width? You can solve the following proportion by cross multiplying. What will the equation be after you cross multiply?3/9 = x/15 Pls answer Ill give u 10 points 2. A recipe includes 8 cups of flour and cup of sugar. Write the ratio of theamount of flour to the amount ofsugar as a fraction in simplest form. The side length of an equilateral triangle is 4X +2 which expression represents the perimeter of the triangle A farmer has 300 feet of fence available toenclose a 4500 square foot region in theshape of adjoining squares, with sides oflength x and y. The big square has sides oflength x and the small square has sides oflength y. Find x and y.UUUULTTUULx= ? feety = ? feet Can we consider our friends, Gods mother and father etc. are part of extended family? Where were your internal organs is torrid after death in ancient Egypt Quincy bought a keyboard priced at $178.30. The sales tax was found by multiplying the price of the keyboard by 0.08. What was the total cost of the keyboard with sales tax? marking brainliest to whoever can help me Thorium^+2Chemical symbol:Atomic Number:Mass: 232# of protons# of neutronsGroup #Period # Someone answer this for me