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

A rectangle has a length of 5x + 2 ft and a width of 2x + 11 ft.

Write an expression to model the area of the rectangle.

Show work, please!

Answers

Answer:

A = length * width

A = 5 (x+2)

A = 5x+10

I'm SO SORRY


Which letter represents the point (-4, 1) on the graph above?
A. А
B.B
С. С
D. D

Answers

Step-by-step explanation:

the right answer would be B

Answer:

C

Step-by-step explanation:

The point (-4 , 1) will be located

4 units towards left side of x axis . 1 unit above y axis.

From figure , Point C

please help hghjhghjjgfhjjjfhgfhbfhgkfgh

Answers

Answer:

Hello there! I would say the answer is C,

Step-by-step explanation:

I hope this helps!!!

C because there are 5 white marbles and 5x3=15 which is the number of black marbles.

Help me pls TwT I am terrible at math

Answers

Answer:

It should be B:)

Step-by-step explanation:

Write each verbal expression as an algebraic expression.

6 times the difference of d and 5

help please

Answers

Answer:

6(d-5)

Step-by-step explanation:

i think this must be the equation

A bag contains 6 green marbles, 5 blue, and 9 red. What is the probability that you will select two green marbles from the bag?

Answers

Answer:

2/20

Step-by-step explanation:

if you add all of the marbles you will get 20 marbles in total.

9000 is perfect square number?​

Answers

Step-by-step explanation:

no it's not.....

........

Answer:

no

Step-by-step explanation:

there should always be even number of 0 if it wants to be a perfect square.

3 * 3 =9

30 * 30 =900. .......(2 0's)

300 * 300 = 9000...(4 0's and so on)

9000 does not meet this criteria so it isn't a perfect square.

In a race , Ram covers 5 km in 20 min. How much distance will he cover in 100 min

Answers

Answer:

25 km

Step-by-step explanation:

100/20=5

5*5=25

You can use proportion
Km Min
5 20
? 100

(5*100)/20
500/20
=25

What’s the surface area of this prism

Answers

the surface area is acute

What appears to be the domain of the part of the exponential function graphed? A) x ≤ 1 B) h(x) ≤ 1 C) x ≤ 5 D) h(x) ≤ 5

Answers

A) x is less than it equal to 1 because your domain can’t have h(x) because that’s your function and would be your range but in this case it’s your domain and your domain or else known as the x coordinate would have to be the number on the x axis that your line starts, your line begins on line 1 on the x axis which would be your domain

Meredith has two different-sized bags of trail mix. The larger bag contains 6.18 ounces of trail mix. The smaller bag contains more trail mix? Why

Answers

Answer:

The answer is "smaller bag ".

Step-by-step explanation:

Please find the complete question in the attached file.

There are more trail mixes in the smaller pack.

It's because in the smaller bag (6.8 ounces) the trail mix is more than in the bigger bag (6.18 ounces).

It was reasonable because the capacity of the bag is not stated, and both bags will contain far more than 6,8 ounces.



(
x

2
)

3
=
1
x

6
=
x
3

x
3
(x
−2
)
−3

=
x
−6

1

=x
3
⋅x
3


Explain why these exponential expressions are equal to each other. Justify your answer.

Answers

Answer:

Suppose we add up alternate Fibonacci numbers, Fn-1 + Fn+1; that is, what do ... L(1)=1 and L(3)= 4 so their sum is 5 whereas F(2)=1; L(2)=3 and L(4)= 7 so their ... What is the relationship between F(n-2), and F(n+2)? You should be able to find a ... Fib(N); K (an EVEN number!), Lucas(K) and Fib(K) in each expression like ...

Step-by-step explanation:

A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the ground. How high is the top of
the tree house? Round your answer to the nearest tenth of a foot.

Answers

Answer:

63.6 feet

Step-by-step explanation:

[tex]sin (45)=\frac{x}{90}[/tex][tex]x=90 sin (45)[/tex][tex]x=45\sqrt{2}[/tex]x = 63.6 feet

A school sport's team sold hats for $12 each hat. The team made a profit of $3 for each hat sold. What percent of the selling price of each hat is the profit?

Answers

Answer: 25%

Step-by-step explanation:

Given: Selling price of each hat = $12

Profit on each hat = $3

To find: The percent of the selling price of each hat is the profit.

Ratio of profit to selling price = [tex]\dfrac3{12}=\dfrac14[/tex]

The required percentage = Ratio of profit to selling price x 100

[tex]=\dfrac14\times100=25\%[/tex]

The profit is 25% of the selling price.

Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent show that quadrilateral ABCD is a parallelogram by finding the length of the opposite side pairs

Answers

Answer:

D. 21, 14

Step-by-step explanation:

As the question said, a parallelogram is formed when both pairs of opposite sides are congruent. That means that 21 and 3y are equal, as are y + 7 and 2y.

21 = 3y

/3    /3

7 = y

y + 7 = 2y

-2y     -2y

-y + 7 = 0

   -  7  - 7

-y = -7

* -1  * -1

y = 7

In both instances, y = 7. Now let's substitute that.

21 = 3(7)

21 = 21 is true.

7 + 7 = 2(7)

14 = 14 is true.

With that, the lengths of the opposites sides are 21 & 14, which is D.

find 2/3 - 8/9 how can you write the expression using a common denominator

Answers

2/3 x 3/3 = 6/9

So it would be 6/9 - 8/9

And pleaseee This too

Answers

Answer:

the correct option is 75

Step-by-step explanation:

The standard notation for how to write tables is in the next way.

[tex]\left[\begin{array}{ccc}inpt&outpt\\x_1&y_1\\x_2&x_2\end{array}\right][/tex]

Where the input values are represented in the x-axis (the horizontal one) and the output values are on the y-axis (the vertical one).

In this case, we want to find the number of (x-value) for the height of 250.

Then we need to look at the vertical axis and find the value y = 250.

Now let's move to the right until you meet with the point.

Once you reach the point, move down to the axis, the value at which you intersect the axis is the x-value.

We can see that the point is on the middle of the x-values:

x = 70 and x = 80

Then the x-value of the point is x = 75

This means that the correct option is 75

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:

Help meee plzzzzzzzzz

Answers

Answer:

B

Step-by-step explanation:

At the numerator we have to put 8, while at the denominator we have to put 26

8/26

now we can simplify the fraction by dividing both numerator and denominator by 2

(8:2)/(26:2)

4/13

Answer:

The answer is D

Step-by-step explanation:

4/46in simplest form

A new field has a perimeter of 220 m and a width of 62 m. A bag of canola seed will cover 185 m2 of ground. How many bags of canola seed are needed to seed the new field?
52
16
53
17

Answers

Answer:

17

Step-by-step explanation:

Assuming the field is a rectangle, the perimeter is found through the equation:

[tex]P = 2l + 2w[/tex]

Since we know the perimeter and width, we can substitute and solve for the length.

[tex](220) = 2l + 2(62)\\220 = 2l + 124\\96 = 2l\\l = 48\\[/tex]

Using the length and width, we can find the area.

[tex]A = lw\\A = (48)(62)\\A = 2976[/tex]

The area is 2976 squared meters. We divide by the area a bag of canola seed can cover and round up if necessary to find the total number of bags.

[tex]n = 2976 / 185\\n = 16.09[/tex]

Because we need a whole bag in order to cover for the decimal area, we round up to 17 bags.

1.
Kenneth's garden is in the shape of a rectangle. The length is
20 feet and it has a perimeter of 70 feet, How long is the
diagonal of his garden.

Answers

Answer: I'm pretty sure it's 25

Step-by-step explanation:

Use Pythagorean theorem to find diagonal.

ANSWER NOW PLEASE: Tom is having his car repaired. The cost of the parts is $260
and 4 hours of work are required. Tom needs to keep the
entire cost of the repair under $400. Which inequality
expresses the relationship between hourly cost (x), parts,
and the $400 limit?

Answers

Answer:

260 + 4x < 400

Step-by-step explanation:

To make our inequality, let's list out the separate costs we have, all of which combined should be less than 400.

First, we have the cost for the parts, which is $260. The other cost we have is the hourly rate for the work. The repair will take a certain amount of money for every hour worked. The rate must be low enough that it doesn't exceed $400 when combined with the $260 from the parts.

To construct our inequality, we can begin with the estalished $260.

Then, add to this the hourly rate, (x) times the number of hours worked, 4.

So we have-

260 + 4x

The total of this cost must be less than $400 dollars, so we will use the less than ( < ) sign in front of the 400.

260 + 4x < 400

The answer is 260 + 4x < 400. I hope this was helpful :] Good luck ^^

HELP HELP OH PLS YES PLS HELP​

Answers

Answer:

270 minutes.

Step-by-step explanation:

30d

d=9

30x9= 270

270 minutes.

plz mark me as brainliest. :)

A credit card company advertises an APR of 17.2%, compounded daily. What is the effective interest rate

Answers

Answer:

18.76%

Step-by-step explanation:

effective interest rate = ( 1 + periodic interest rate)^m - 1

m = number of compounding = 365

Periodic interest rate = APR / number of compounding = 17.2 / 365 = 0.0471% = 0.000471

(1 + 0.000471) ^365 - 1 = 18.76%

Find the product of the elements on the main
diagonal of matrix A:
d1 = (a11)(a22)

Answers

Answer:

24

Step-by-step explanation:

thats right

The solution is d₁ = 24

The product of the elements on the main diagonal of the matrix is 24

What is multiplication of matrices?

The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. The first matrix must have the same number of columns as the second matrix has rows. The number of rows of the resulting matrix equals the number of rows of the first matrix, and the number of columns of the resulting matrix equals the number of columns of the second matrix

Given data ,

Let the matrix be represented as A

Now , the value of A is

[tex]A = \left[\begin{array}{ccc}3 &2 \\ 5 &8 \\\end{array}\right][/tex]

Now , on simplifying the matrix A

The main diagonal of the matrix is having the elements ( a₁₁ ) and ( a₂₂ )

So , the product of the elements in the main diagonal is

a₁₁ = 3

a₂₂ = 8

And , the equation will be

d₁ = ( a₁₁ ) x ( a₂₂ )

Substituting the values in the equation , we get

d₁ = 3 x 8

d₁ = 24

Therefore , the value of d₁ is 24

Hence , the product of the diagonal elements of matrix is 24

To learn more about multiplication of matrix click :

https://brainly.com/question/13198061

#SPJ2

What form is this quadratic? f(x)=2x^2+5x-10​

Answers

Answer:

I hope that you thought so.

I recommend to you: Photomath

Find the circumference of f

Answers

Answer:

its kinda hard to explain udisng words but mutiple to get acxorss then plit it and SFF and you should get the asnwer

Step-by-step explanation:

The graph of f(x)=4/x^2-2x-3 is shown. For which values of x is f(x) decreasing?

Answers

Answer: (1,3) (3, infinite)

Step-by-step explanation:

i think this is right

The graph of f(x) = 4/(x² - 2x - 3) is decreasing in the values of (-1,3) ∪ (3,∞)

What is graph?

A graph can be defined as "pictorial representation or the diagram that represent a data or values in an organized manner".

According to the question,

The graph of function f(x) =  4/(x² - 2x - 3).

The values (-1,3) ∪ (3,∞) substitute in the given function

f(-1) = 4/0 = undefined

f(3)= 4/0 = undefined

f(∞)= undefined

Hence, The graph of f(x) = 4/(x² - 2x - 3) is decreasing in the values of

(-1,3) ∪ (3,∞).

Learn more about  graph here

https://brainly.com/question/21276417

#SPJ2

Can someone please help?

Answers

1- highest was 98 lowest was 74!

Answer:

1: The highest score is 98, the lowest score is 74.

2: 55% of the scores are greater than 84

Step-by-step explanation:

Solution 1-1:

Starting from the top left and going from left to right row by row we compare the largest number we come across with the current number we are inspecting.

Starting with 92 then we look at 88, 92 is greater than 88 so we keep 92, next is 95, 95 is greater than 92 so we keep 95, next is 74, 95 is greater than 74 so we keep 95 and so on until we have compared all of the numbers. We are left with 98

Solution 1-2:

Using a similar method to finding the greatest number we go through the list of numbers in search of the smallest number. Starting with 92 we then look at 88, 88 is less than 92 so we keep 88. Next is 95, 88 is less than 95 so we keep 88. Then 74, 74 is less than 88 so we keep 74 and so on. We are left with 74

Solution 2:

There is a total of 20 numbers in the table. By comparing the numbers in the table to 84, we can determine that 11 numbers are greater than 84.

By dividing 11 by 20 we get 0.55 which is equal to 55%

HELLllllllPPppppp !!!

Answers

9514 1404 393

Answer:

 BC ≈ 17.0 (neither Crow nor Toad is correct)

Step-by-step explanation:

The left-side ratio of (2+4)/4 = 3/2 suggests BC is 3/2 times the length DE. If that were the case, BC = (3/2)(11) = 16.5, as Crow says.

The right-side ratio of (5+9)/9 = 14/9 suggests that BC 9 is 14/9 times the length DE. If that were the case, BC = (14/9)(11) = 154/9 = 17 1/9 ≈ 17.1, as Toad says.

The different ratios of the two sides (3/2 vs 14/9) tell you that the triangles are NOT similar, so the length of BC cannot be found by referring to the ratios of the given sides.

Rather, the Law of Cosines must be invoked, first to find angle A (109.471°), then to use that angle to compute the length of BC given the side lengths AB and AC. That computation gives BC ≈ 16.971. (See the second attachment.)

Other Questions
Find the lengths of the legs. Can you identify what object is being represented by the model on the right? gear clock battery Please help ASAP Ill mark you as brainlister I need help with this A 12kg aluminum box is sliding along a horizontal steel surface while experiencing a rightward applied force of 60N. The box has a displacement of 20m. What is the Net Force acting on the box? *A.)60NB.)117.72NC.)4.67 ND.)-55.33N What is the definition of Summary? What would happen to a population if all females reproduce through parthenogenesis alone? Which of the following is a positive result of building the Three Gorges Dam?Many Chinese people had to move from their traditional homes.Natural habitats for native animals were frequently destroyed.Frequent flooding will be controlled. GrassTreeFigure 34Which of the following is a food chain in the food web shown in Figure 3-4?A)tree, rabbit, hawk, snakeB)grass, grasshopper, frog, snakegrass, caterpillar, robin, hawkD)tree, deer, mountain lion, fox Is weight AFFECTED by gravity? YES, the force of gravity determines how much you weigh. NO, regardless of gravity, you will always weigh the same. w Lee la conversacin entre Isaac y Alma.ISAAC: Recuerdas al abuelo, Alma?ALMA: Claro. Era increble ver cmo [BLANK] andar sin bastn con sus 90 aos.ISAAC: El yoga lo mantena joven.Qu palabra completa la conversacin correctamente?PodaNo podaNo pudoPudo In each equation, select an operation to make the equation true. 24 ____34=18 24 ____34= - 32 12 ____ -15 = -3 12 ____ -15 = 27 -18 ____ 34= 24 5/1 is how much longer than 1/5 some one help plzzzz plz find y intercept and slope I will give brainliest if you give me all the answer for each table What is the gradient? Janet and James purchased their personal residence 15 years ago for $300,000. For the current year, they have an $80,000 first mortgage on their home, on which they paid $5,750 in interest. They also have a home equity loan to pay for the children's college tuition secured by their home with a balance throughout the year of $150,000. They paid interest on the home equity loan of $9,000 for the year.Required:Calculate the amount of their deduction for interest paid on qualified residence acquisition debt and qualified home equity debt for the current year. Put some air in your tires: Let X represent the number of tires with low air pressure on a randomly chosen car. The probability distribution of X is as follows.x 0 1 2 3 4Px 0.2 0.1 0.4 0.2 0.1Compute the standard deviation X. Round the answer to at least three decimal places. Janessa is creating a presentation about her favorite flower, the hibiscus. What should the last slide of her presentation be? Conclusion Questions Summary make an original sentence using Juxtaposition In the figure below, DF is a straight line. What is the degree measure of