5. A train travels two different routes: the North Route and the South Route. • On Monday, the train traveled the North Route 8 times and the South Route 10 times, traveling a total of 410 miles. • On Tuesday, the train traveled the North Route 15 times and the South Route 11 times, traveling a total of 575 miles. How long is each route?

Answers

Answer 1

Answer:

North Route is 20 miles, and South Route is 25 miles.

Step-by-step explanation:

Let the length of the North route be represented by x and that of the South route be represented by y.

On Monday,

8x + 10y = 410

On Tuesday,

15x + 11y = 575

So that,

8x + 10y = 410 .............. 1

15x + 11y = 575 ......... 2

Using substitution method, from equation 1;

x = [tex]\frac{410 - 10y}{8}[/tex] ................. 3

Substitute the expression for x into equation 2,

15([tex]\frac{410 - 10y}{8}[/tex]) + 11y = 575

multiply through by 8,

6150 - 150y + 88y = 4600

6150 - 62y = 4600

6150 - 4600 = 62y

1550 = 62y

divide through by 62 to have,

y = 25

Substitute the value of y in equation 3

x = [tex]\frac{410 - 10y}{8}[/tex]

  = [tex]\frac{410 - 10(25)}{8}[/tex]

  = 20

x = 20

Thus, North Route is 20 miles, and South Route is 25 miles.


Related Questions

If KLM= NOP, find the perimeter of KLM.

Answers

Answer: 34 units

Step-by-step explanation:

I took the test

What is the slope of this line? please explain because it is confusing if I only got the number of the slope:)

Answers

Answer:

8/3

Step-by-step explanation:

Use rise over run. Find two points that are at perfect points. For example (3,2). Don't use something like (2.45, 7.34), That will make it difficult. I used (0, 4) and (-3, 4). To get from (-3,4) to (0,4), you have to go up 8 and to the right 3. Always count up or down first and then side to side.  

I need help with a math question ASAP!! please Below is a screenshot of the problem

Answers

Answer:

Pretty sure it's B, the second one from the top

Answer:

Soda tax — Should people have to pay an extra tax on soda or junk food?

Your conversation should include the following:

A total of at least five entries for each side (10 entries total—two to three sentences each)

Accurate facts used to support both perspectives

At least two properly cited sources used for research

Step-by-step explanation:

Solve diiis!
2-(y+2)=3y
PPLLSS AANNDD TTHHXX!!

Answers

The answer is : y = 0

How to solve your question

Solve for y:

-y = 3 y

Subtract 3 y from both sides:

-y - 3 y = 3 y - 3 y

-y - 3 y = -4 y:

-4 y = 3 y - 3 y

3 y - 3 y = 0:

-4 y = 0

Divide both sides of -4 y = 0 by -4:

(-4 y)/(-4) = 0/(-4)

(-4)/(-4) = 1:

y = 0/(-4)

0/(-4) = 0:

Answer: | y = 0

Which statement best explains the relationship between
lines AB and CD?
O They are parallel because their slopes are equal.
O They are parallel because their slopes are negative
reciprocals.
equal.
negative reciprocals.
O They are not parallel because their slopes are not
O They are not parallel because their slopes are

Answers

Answer:

The best statement which explains the relationship between lines AB and CD is "They are parallel because their slopes are equal" ⇒ A

Step-by-step explanation:

Parallel lines have equal slopes and different y-interceptsThe rule of the slope of a line passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]

In the given figure

∵ The blue line passes through points A and B

∵ A = (-4, -2) and B = (4, 4)

x1 = -4 and y1 = -2

x2 = 4 and y2 = 4

→ Substitute them in the rule of the slope

∵ m(AB) = [tex]\frac{4--2}{4--4}[/tex] = [tex]\frac{4+2}{4+4}[/tex] = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]

The slope of line AB is  [tex]\frac{3}{4}[/tex]

∵ The green line passes through points C and D

∵ C = (0, -3) and D = (4, 0)

x1 = 0 and y1 = -3

x2 = 4 and y2 = 0

→ Substitute them in the rule of the slope

∵ m(CD) = [tex]\frac{0--3}{4-0}[/tex] = [tex]\frac{0+3}{4}[/tex] = [tex]\frac{3}{4}[/tex]

The slope of line CD is  [tex]\frac{3}{4}[/tex]

∵ The slope of line AB = the slope of line CD

∵ Parallel lines have the same slope

∴ AB // CD

AB and CD are parallel lines

The best statement which explains the relationship between lines AB and CD is "They are parallel because their slopes are equal"

Answer:

a. they are parallel because their slopes are equal

Step-by-step explanation:

did the review on edge

What equal to 3(x+y)

Answers

Answer:

Step-by-step explanation:

3(x+y)= 3x+3y,

you have to multiply the number with each term that is in parenthesis

Answer:

3x+3y

Step-by-step explanation:

3x+3y is pretty much the simplified version.

PLease help I promise this is easy

Answers

Answer:

use

y2-y1

____

x2-x1.

unfortunately I forgot how to solve it but pick 2 coordinates

5h(-m+f)= 6

SOLVE FOR F!

Answers

6/5h+m

Just divide by 5h and then add m

Hence, the value of [tex]5h(-m+f)=6\\\\[/tex] is [tex]f=\frac{6}{5h}+m[/tex].

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given equation is

[tex]5h(-m+f)=6\\\\-m+f=\frac{6}{5h}\\\\f=\frac{6}{5h}+m[/tex]

Hence, the value of [tex]5h(-m+f)=6\\\\[/tex] is [tex]f=\frac{6}{5h}+m[/tex].

To know more about the equation

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PLEASE HELP!! PLEASE HELP!! (also answer my other questions too)

A shipping company has 3 different sized cube boxes. The volume of the boxes are 216in^3, 512in^3, and 1000in^3. Mia need to ship a gift with a height of 7 inches.

What is the height, in inches, of the smallest box Mia can use?

Answers

Answer:

A shipping company has 3 different sized cube boxes.The volume of 1 box is 216 in 3=648.The volume of 2 box is 512 in 3=1536.The volume of 3 box is 1000 in 3 = 3000.

So, Mia needs to ship a gift with a height of 7 inches.

648 , 1536-3000

-816

Step-by-step explanation:

Help me please!!!!!!!!

Answers

Answer:

it c

Step-by-step explanation:

Use the GCF and the distributive property to find the expression that is
equivalent to 32 + 56.
A. 4(8 + 14)
B. 8(4+8)
C. 8(4 + 7)
D. 2(16 + 28)

Answers

Answer: a

Step-by-step explanation:

When you multiply 4 and 8 together you get 32. When you multiply 4 and 14 ypu get 56

y + 12.5 = 21.7, y =

Answers

Answer:

y = 9.2

Step-by-step explanation:

21.7 - 12.5 = 9.2

Answer:

y = 9.2

Step-by-step explanation:

If you answer my last question, I will answer yours :)

Answers

:O
That profile pic is mine for almost everything.
My home email, my school email, EVERYTHING.
Except this

find the value of trignomwtric function:
sec330°​

Answers

Step-by-step explanation:

sec330°

= 1 / cos330°

= 1 / cos30°

= 1 / (√3/2)

= 2/√3.

Answer:

[tex]\frac{2\sqrt{3} }{3}[/tex]

Step-by-step explanation:

Using the identity

secx = [tex]\frac{1}{cosx}[/tex] and cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

sec330°

= [tex]\frac{1}{cos330}[/tex]

= [tex]\frac{1}{cos(360-330)}[/tex]

= [tex]\frac{1}{cos30}[/tex]

= [tex]\frac{1}{\frac{\sqrt{3} }{2} }[/tex]

= [tex]\frac{2}{\sqrt{3} }[/tex] ← rationalise the denominator

= [tex]\frac{2}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex]

= [tex]\frac{2\sqrt{3} }{3}[/tex]

Which of the following is an example of an improper fraction? a. 10/3, b.6/7, c. 4/5, d. 3/10

Answers

Answer:

A. 10/3

Step-by-step explanation

improper fraction examples;

[tex]\frac{12}{3}[/tex]   [tex]\frac{10}{9}[/tex]   [tex]\frac{11}{10}[/tex]

An improper fraction is a fraction that has a numerator bigger than the denominator, ( [tex]\frac{N}{D}[/tex] ), therefore the answer would be A.

Hope this helps

Final Answer: A. [tex]\frac{10}{3}[/tex]

Steps/Reasons/Explanation:

Question: Which of the following is an example of an improper fraction? a. 10/3, b.6/7, c. 4/5, d. 3/10

An improper fraction is a fraction that's numerator is greater or equal to its denominator. The correct answer would be A. [tex]\frac{10}{3}[/tex] because its numerator is greater than its denominator.

~I hope I helped you :)~

For the function y =[tex]3x^{2}[/tex]– 2x + 5, what is the output if the input is 4?

A) 9

B) 21

C) 45

C) 51

ill give brainly to first correct answer

Answers

Answer:

C

Step-by-step explanation:

The input is the value of x. Substitute x = 4 into y for output

y = 3(4)² - 2(4) + 5 = 3(16) - 8 + 5 = 48 - 8 + 5 = 45

Thus the output is 45 → C

Helpp I have 50 sec leftttn asappp

Answers

Answer:

The answer would be B) 17 1/3

Give the equation of the line in
slope intercept form.
y = [?]x + []
Enter the number that belongs in the green box.
Enter

Answers

Answer:

y = 3x - 2

Step-by-step explanation:

The equation of a line is y = mx + c where m is the slope of the line and c is the y-intercept. I will be calculating the slope of the line using the points (1, 1) and (2, 4).

Slope = [tex]\frac{rise}{run}[/tex]

          = [tex]\frac{4-1}{2-1}[/tex]

          = 3

Based on the graph, the y-intercept is (-2) so the equation of the line is:

y = 3x - 2

The slope is y= 3x-2 is correcttt

consider the inequality shown.

4x+ax-14>-24

What is the highest integer value of when x=-2

Answers

Answer:22

Step-by-step explanation:

please help which one of these answers is it?

Answers

Answer:

[tex] m\angle ABC = 35\degree [/tex]

Step-by-step explanation:

(3x - 70)° = x° (corresponding angles)

3x - 70 = x

3x - x = 70

2x = 70

x = 70/2

x = 35

[tex]

m\angle ABC = (3x - 70)\degree \\\\

m\angle ABC = (3\times 35- 70)\degree \\\\

m\angle ABC = (105- 70)\degree \\\\

\huge\red {\boxed{m\angle ABC = 35\degree }} \\\\[/tex]

To rewrite the expression ab+a+b+1, Jozelle first writes (ab+a) + (b+1). What property justifies this?

Answers

Answer:

I believe it is associative property of addition or commutative

Step-by-step explanation:

Which graph shows the solution to the system of linear inequalities?
y 2x + 1
ys 2x - 2
BRA
Canadvie

Answers

Answer:

heres the whole question..

Step-by-step explanation:

Which graph shows the solution to the system of linear inequalities?

y ≥ 2x + 1

y ≤ 2x – 2

3. Solve (5x – 4)(x – 6). (2 points) O x = 4, x = 6 X = -4, X = -6 X = 1.25, x = 6 0 x = 0.8, x = 6​

Answers

Answer:

x=0.8

x=6

Step-by-step explanation:

(5x-4)(x-6)=0

1)5x-4=0

2)x-6=0

1)5x=4

x=4/5 or 0.8

2)x=6

EMERGENCY
i+i+i+i=-8
i=

Answers

Answer

i=2

Step-by-step explanation:

i+i+i+i=8

4i=8

i=8/4

i=2

i + i + i + i= -8
First, combine like terms (i’s)
4i=-8
Divide both sides by 4 to isolate i
4i=-8
—- —-
4 4

i=-2

You can plug this back in to see if it works.

(-2) + (-2) + (-2) + (-2) = -8

-8=-8

Therefore, i= -2

Identify the graph of f(x) = -3 |x+2|.

Answers

Answer:

the first one

Have a safe and happy new years

The function f(x) = -3 |x+2| represent the graph A. The correct option is A.

What is a function?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The function f(x) = -3 |x+2| is an absolute function. On plotting the graph of the function we will get the graph at (-2,0) coordinate and cut the y axis at ( 0,-6 ) coordinate. The graph is attached with the answer below.

Therefore, the function f(x) = -3 |x+2| represent the graph A. The correct option is A.

To know more about functions follow

https://brainly.com/question/25971887

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Find the sum of 5
and 7
Step 2: Add the fractions by dragging each bar to the dot on
the number line
02 03 04 05 06 08 10 12
The expression written in equivalent form with common
denominators is
70 규
The sum is
V
The common denominator of both
fractions is 10
You can proceed to step 2

Answers

Answer:

[tex] \frac{10}{50} + \frac{35}{50} [/tex]

Sum: [/tex] \frac{9}{10} [/tex]

Step-by-step explanation:

Given, [tex] \frac{1}{5} [/tex] and [tex] \frac{7}{10} [/tex]

Expressing in an equivalent form whereby they would have a common denominator, we would multiply the numerator and denominator of each fraction by the denominator of the other fraction.

Thus, we would have:

[tex] \frac{1 \times 10}{5 \times 10} = \frac{10}{50} [/tex]

[tex] \frac{7 \times 5}{10 \times 5} = \frac{35}{50} [/tex]

[tex] \frac{10}{50} + \frac{35}{50} [/tex]

The sum is: [tex] \frac{10}{50} + \frac{35}{50} = \frac{10 + 35}{50} = \frac{45}{50} [/tex]

Simplify

[tex] \frac{45}{50} = \frac{9}{10} [/tex]

is 6^p > 0, then p > 0. Is this statement true, sometimes true, or not true?

Answers

Answer:

true

Step-by-step explanation:

Please help me 32 points
Problem
Choose the inequality that represents the following graph.

Answers

Answer:

im pretty sure its d

Step-by-step explanation:

pretty sure it’s d; i think

What is the equation of a line that is perpendicular to -x + 2y =4 and passes through the point (-2, 1)

Answers

Answer:

y = -2x - 3

Step-by-step explanation:

-solve for y: y = 1/2x + 2

-perpendicular equals opposite slope: -2

-plug in the point: (1) = -2(-2) + b

                               1 = 4 + b

                                b = -3

put it all together: y = -2x - 3

Determine the scale factor for A ABC to A A'B'C'.
C
С
8 cm
4 cm
O A. 4
B. 8
C. 2
OD.
2

Answers

Answer:C 2

Step-by-step explanation:

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