Aanya lives in Ohio. She immigrated with her family from India to North America. Aanya wants to visit a cousin in Toronto by driving. The gate person at the Peace Bridge in Buffalo, NY tells her that Toronto is 500 km north on Highways 400/401. How far is that in miles? After Aanya arrives, she and her cousin compare efficiencies of their cars. Aanya’s car averages 30 mi/gallon, but she needs to convert that to km/liter. Using the conversions 1 km = 0.62 mi, 1 mi = 1.61 km, and 1 qt = 0.946 liters, determine the distance from the Peace Bridge to Toronto in miles and the efficiency of Aanya’s car in km/liter (hint on the latter—first get km/gallon, then km/liter). Both parts of an answer must be correct.

(a) 300 mi, 48.3 km/liter (b) 310 mi, 12.76km/liter (c) 320 miles, 14 km/liter

(d) 330 miles, 7.5 km/liter (e) 620 miles, 48.3 km/liter (f) none of the above

Answer:

g = -1

Step-by-step explanation:

Given the following data;

Slope, m = 9

Points = (-7, -10) and (-6, g)

X-axis = x1, x2 = (-7, -6)

Y-axis = (y1, y2) = (-10, g)

Mathematically, slope is given by the formula;

[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]

[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]

Substituting into the equation, we have;

9 = (g - (-10))/(-6 - (-7)

9 = (g + 10)/(-6 + 7)

9 = (g + 10)/1

Cross-multiplying, we have;

9 = g + 10

g = 9 - 10

g = -1

Answer:

A

Step-by-step explanation:

57 rounded is 60

19 rounded is 20

60/20

3

Answer:

The top box:  3

The middle box:  2

The bottom box:  1

Step-by-step explanation:

In order to fill out the yellow boxes we have to use the equation above the table, and plug in the x values, and so we get...

If x = 2, then

y = x + 1

y = 2 + 1

y = 3

If x = 1, then

y = x + 1

y = 1 + 1

y = 2

If x = 0, then

y = x + 1

y = 0 + 1

y = 1

Complete Question:

The perimeter of triangle DEF is 3x + 3y. Find the measure of the missing side. (One side is x-y, the other is x+y)

Answer:

[tex]Side\ 3 = 2x+ 3y[/tex]

Step-by-step explanation:

Given

[tex]P = 4x + 3y[/tex] --- Perimeter

[tex]Side\ 1 = x - y[/tex]

[tex]Side\ 2 = x + y[/tex]

Required

Determine Side 3

The perimeter of a triangle is calculated as:

[tex]Permeter = Side\ 1 + Side\ 2 + Side\ 3[/tex]

[tex]4x + 3y = x - y + x + y + Side\ 3[/tex]

Collect Like Terms

[tex]4x - x - x+ 3y-y + y = Side\ 3[/tex]

[tex]2x+ 3y = Side\ 3[/tex]

[tex]Side\ 3 = 2x+ 3y[/tex]

Step-by-step explanation:

-9x=153 (add 9 on both sides to eliminate the 9 on the side with the x)

-9+9x=153+9

x=162

Answer:

64

Step-by-step explanation:

Answer:

y = -4x + 3

Step-by-step explanation:

(0, 3) and (2, -5)

m= (y2-y1)/(x2-x1)

m= (-5-3)/(2-0)

m= (-8)/2

m = -4

y - y1 = m(x - x1)

y - 3 = -4(x - 0)

y - 3 = -4x + 0

y = -4x + 3

Answer:

4.002

Step-by-step explanation:

12 x (.5) = 6

6 x (.667) = 4.002

Answer:The answer is £2

Step-by-step explanation: 50% of 12 is 6, 1/3 of 12 is 4,  4+6=10, 12-10=2

Answer:

Ok.... whats the Rest of the question Type it in the comments and i will edit this answer

Step-by-step explanation:

Answer:

C i guess

correct me if I'm wrong

hope it helps you

Answer:

Third friend with $900

Step-by-step explanation:

All-in-all each individual got a specific amount of cash that is mentioned in the question. If we compare each of their amounts we can easily say that the third friend got the greatest amount which is $900. This is $400 more than the first friend and $100 more than the second friend. This would be different if the values were percentages instead of actual dollar values.

Answer:

D) The third side could be 4 meters long.

Step-by-step explanation:

The third side of a triangle must be greater than the difference and less than the sum of the other two sides.

5-4=1

5+4=9

So the third side must be GREATER THAN 1 and LESS THAN 9.  (1<x<9)

Therefore, the answer can't be A or C.  The second one could be correct, depending on how much less than 4 it is.  But the last one is definitely correct.

Answer:

-3x+3y

Step-by-step explanation:

-10x+3y+7x

-3x+3y

Answer:

Simplified: -3x+3y

Explanation:

-10x+3y+7x

=-10x+7x+3y

=-3x+3y

Answer:

Step-by-step explanation:

Line segment divided into 5:3 ratio, so one segment is ⅝ of AB and one segment is ⅜ of AB.

Compare the coordinates of A and B.

change in x-coordinates = 10-2 = 8

change in y-coordinates = 2-(-6) = 8

⅝ of 8 = 5, so x-coordinate of C = (x-coordinate of A) + 5 = 7, and y-coordinate of C = (y-coordinate of A) + 5 = 1

Answer: 2 committees

Step-by-step explanation: 7 cant be divided evenly by 3. only two times. Only 2 groups can be fully formed.

Answer:

The answer is 0.26

Step-by-step explanation:

Answer:

4/15

Step-by-step explanation:

can u give brainly if its correct

Answer:

114 cm^2

Step-by-step explanation:

area of a triangle= base x height divided by 2

Answer:

Triangle = 114 ft²

Rectangle = 374 ft²

Total figure = 488 ft²

Step-by-step explanation:

Triangle = 1/2 b*h

Triangle = 1/2(12x19)

Triangle = 1/2(228)

Triangle = 114 ft²

Rectangle = 22 x 17

Rectangle = 374 ft²

Total area = 114 ft² + 374 ft²

Total area = 488 ft²

Answer: y= k/m - x

Step-by-step explanation:

First you need to divide both sides by( M

(m(x+y)) / m = k/m

x + y - x = k/m - x

y = k/m - x

Answer:

Standard line equation:

y=ax+b

The point (5,1) is on the line. so :

1=a(5)+b → 1=5a+b

The point (1,-5) is also on the line. Then :

-5=a(1)+b → -5=a+b

Subtract the two equations in terms of a and b. we have:

6=4a → a=3/2 , b=-6.5

y=1.5x-6.5

Answer:

1.5x=y

Step-by-step explanation:

Answer:

C. 1.5x=y is the correct answer

Step-by-step explanation:

A. doesn't work after the first value

B. doesn't work either

C. 1.5*20= 30 1.5*30 = 40 1.5*40= 60 1.5*50= 75

D. Doesn't work see: 30-15 doesn't equal 20

hope this helps <3

Answer:

x = 7.423891441

Step-by-step explanation:

Hey There!

So they want you to solve for x using law of sines

Law of sines states that sin ( an angle) divided by it's opposite side equals sin( a different angle) divided by its opposite side

so basically

[tex]\frac{sin23}{x} =\frac{sin90}{19}[/tex]

now we can solve for x

step 1 multiply each side by sin 23

the fraction would split and it would be

[tex]x=\frac{19sin23}{sin90}\\x = 7.423891441[/tex]

So we can conclude that x = 7.423891441

Answer:

13

Step-by-step explanation:

Answer:

the answer would be 4m

hope this helped

Answer:

4m

Well there's 4 m's being added so to put it in simple terms, it would be 4m.

Answer:

(-2, -4)

Step-by-step explanation:

When a point is rotated 180 degrees around the origin, the values turn into their opposites.

(2, 4) ⇒ (-2, -4)

Answer:

(-2,-4)

Step-by-step explanation:

You have it correct.  It would move from quadrant I to quadrant III and both values become negative.

(-2,-4)

Answer:

Step-by-step explanation:

The graph of g(x) = f(x) - 4 is the same as that of f(x), EXCEPT that it has been translated down by 4 units.  

The graphs of  f(x)=12x2 + 1   and  g(x)=f(x)−4 are both parabolas that open up and have their vertices on the same vertical line (the y-axis).

Answer:

The equation is: y y = 5/4 * x - 13

Step-by-step explanation:

The slope-intercept y = mx + c form of a straight line is In this case we have a point, (x, y) and the slope, m so all we need is a value for c. Substitute into y = mx + c - 3 = 5/4 * (8) + c - 3 = 10 + c c = - 13 y = 5/4 * x - 13 The equation is: y Or you can use the formula for the situation where you have a point, (x 1 ,y 1 ) and the slope, (m) y-y 1 =m(x-x 1 ) y - (- 3) = 5/4 * (x - 8) y + 3 = 5/4 * x - 10 y = 5/4 * x - 13

Answer:

[tex] \frac{2}{5} [/tex]

Answer:

20 + M = number of songs Moore has now

Step-by-step explanation:

Moore started with 20 songs, so you would need to add the number of songs his friend bought him (M) to the 20 that he already has which will show the total number of songs Moore has.

Answer:

I am 95% confident that the interval from 28.204 to 32.863 captures the true mean PPG of all of Jordan's home games.