Examine the system of equations.

−5x + 5y = 40
4x + 3y = 24

What is the solution?

Answer:

Train A is travelling at a speed of 12.857 miles per hour and train B at a speed of 9.643 miles per hour.

Step-by-step explanation:

Let suppose that train A begins in position [tex]x = 0\,mi[/tex] and the train B in position [tex]x = 1.5\,mi[/tex], if [tex]v_{B} = \frac{3}{4}\cdot v_{A}[/tex] and both trains move at constant speed, then we have  the following kinematic equations:

Train A

[tex]x_{A} = x_{A,o}+v_{A}\cdot t[/tex] (1)

Train B

[tex]x_{B} = x_{B,o}-v_{B}\cdot t[/tex] (2)

If both trains meet each other, then [tex]x_{A} = x_{B}[/tex]. If we know that [tex]x_{A,o} = 0\,mi[/tex], [tex]x_{B,o} = 1.5\,mi[/tex], [tex]v_{B} = \frac{3}{4}\cdot v_{A}[/tex] and [tex]t = \frac{1}{15}\,h[/tex], then we have the following expression:

[tex]x_{A,o}+v_{A}\cdot t = x_{B,o}-v_{B}\cdot t[/tex]

[tex]x_{A,o} + v_{A}\cdot t = x_{B,o} - \frac{3}{4}\cdot v_{A}\cdot t[/tex]

[tex]\frac{7}{4}\cdot v_{A}\cdot t = x_{B,o}-x_{A,o}[/tex]

[tex]v_{A} = \frac{4\cdot (x_{B,o}-x_{A,o})}{7\cdot t}[/tex]

[tex]v_{A} = 12.857\,\frac{mi}{h}[/tex]

Then, the speed of the train B is:

[tex]v_{B} = 9.643\,\frac{mi}{h}[/tex]

Train A is travelling at a speed of 12.857 miles per hour and train B at a speed of 9.643 miles per hour.

Answer:

THE SUM OF TWO NUMBERS =18

DIFFERENCE WHEN SECOND NUMBER IS SUBTRACTED TO THE FIRST NUMBER=2

OTHER NUMBER =20

BECAUSE DIFFERENCE WHEN SECOND NUMBER IS SUBTRACTED TO THE FIRST NUMBER IS 2...

EASY..

Step-by-step explanation:

HOPE JT HELPS THANK YOU

Answer:

The triangles pictured are similar (SSS), that is the corresponding sides are in the same ratio. Hence the matching angles are the same. For any right-angled triangle similar to triangle ABC, the ratio of the matching sides will be the same.

Answer:

24 ft^2

Step-by-step explanation:

The small aquarium:

1 * 3 * 2 = 6 ft^2

The large aquarium

(1 + 1) * (3 + 2) * (2 + 1)

2 * 5 * 3 = 30 ft^2

Difference between the larger aquarium and the smaller aquarium:

30 - 6, or 24.

This means that the answer to this question is a, 24 ft^2

Answer:

= 1/26

Step-by-step explanation:

Use Division Distributive Property:

(x/y)^a = x^a/y^a

(^, That means to the power of exponents.)

Then you Simplify  6^3 to 216

Then you will get 1 over 216.

Answer:

-9 is the answer

Step-by-step explanation:

So we know that the temperature was 2 degrees Fahrenheit in the morning. It dropped by 11 degrees, meaning -11 degrees.

2 + (-11) = ?

2+ (-11) = -9

When he woke up, the temperature was -9 degrees.

Hope this helped :)

Answer:

√53

Step-by-step explanation:

Formula

d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

Givens

x1 = -5

x2 = -3

y1 = 6

y2 = - 1

Solution

d = sqrt( ( -3 - -5)^2 + (-1 - 6)^2 )

d = sqrt( ( -3 + 5)^2 + (-7)^2 )

d = sqrt( 2^2 + 49)

d = sqrt(4 + 49)

d = sqrt(53)

Volume without holes = 3 x 6 x 11 = 198 cubic inches.

Calculate volume of one hole:

3.14 x 0.5^2 x 3 = 2.355 cubic inches

There are 3 holes: 3 x 2.355 = 7.065

Subtract volume of the holes from the brick:

198 - 7.065 = 190.935 cubic inches.

Rounded to the nearest tenth: 190.9 cubic inches.

Answer:

190.9 inches^3

Step-by-step explanation:

First of all we have to find the total volume:

V = dimension 1 x dimension 2 x dimension 3

V = 3 x 6 x 11 = 198 inches^3

now we have to find the volume of the cylinders:

V= radius^2 x pi x height = 0.5^2 x 3.14 x 3 = 2.355 inches^3

the cylinders are three so:

V = 2.355 x 3 = 7.065 inches^3

at least we have to subtract this value at the total volume:

V= 198 - 7.065 = 190.935 = 190.9 inches^3

Answer:

The quotient decreases

Step-by-step explanation:

Give the expression :

10 / d

What happens to the expression as d increases. from small positive to large positive ;

d in the expression is the denominator ;the value obtained by dividing the numerator by the denominator is the quotient.

Since the value of the numerator is constant ;

As the value of d increases, the quotient obtained becomes smaller `

For instance,

Let

d = 2;

10 /2 = 5

d = 3

10 / 3 = 3.333

d = 4

10 / 4 = 2.5

And the trend continues

Answer:

2.5 on khan

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

3 x 10 with a tiny three

10 x tiny3 = 30

30 x normal 3 = 90

Answer:I think it’s

-x(x-10)(x-7)

Step-by-step explanation:

Answer:

Yes you are correct good job:D

Step-by-step explanation:

Answer:

y = -x + 4

Step-by-step explanation:

Mathematically, the equation of a straight line is;

y = mx + b

where m is the slope and b is the y-intercept

from the plot, the y intercept is 4

So we have;

y = mx + 4

To get the value of m, we substitute the coordinates of any point and solve for m

we select the point; (4,0)

so;

0 = m(4) + 4

4m = 0-4

4m = -4

m = -1

so the equation of the line is;

y = -x + 4

Answer:

4

Step-by-step explanation:

If the slope is 0, the line is horizontal and the y-coordinate is 4 for all x values.

Thus the missing y-coordinate is 4.

Answer:

x=2, y= 4

Step-by-step explanation:

Equation 1 is 2x-4y = -12

Equation 2 is 2x+y = 8

Subtracting the two equations gives -4y-y = -12-8 (The 2x and the other 2x cancel each other out).

Simplifying we get -5y = -20 and y =4

Substituting y =4 into original equation back we get 2x -4(4) =-12

This equals 2x -16 =-12 and 2x = 4 and x =2

Answer:

96

Step-by-step explanation:

convert 60% to decimal=0.6

0.6x160=96 (you'll need a calc)

not sure abt my answer but its probably 96

Answer:

The distance between the points is 9.219544457292887

Step-by-step explanation:

Answer:I know im problably late but, its the city's senior citizen center

Step-by-step explanation:

Answer:

3:4

hahahahahaaaahahahahahahahahaha

Answer: 100

Step-by-step explanation: because I just got a 10/10

Answer: Dude what are you trying to ask?

Step-by-step explanation:

Answer:

Assuming the spinner has 6 parts: 1/6 chance of landing on 4 (theorectical probability)

Step-by-step explanation:

Since you did not give me the bar graph, I cannot see the results of the experiment and so I assume that there are 6 equal parts in the spinner.

To figure out the Ex. Pro.,  do favorable outcome/possible outcome.

Hopes this makes sense!

Answer:

i think it is 60 cm2

Step-by-step explanation:

Answer:

Aaaaa

Step-by-step explanation:

sick

Its the first answer

Answer:

1

x=75(vertically opposite angle

2

x+60=180(straight angle

×=180-60

×=120

3

×+55=180(co-interior angle

×=180-55

×=125

4

×=113(alternate angle

5

x=89(corresponding angle

6

x=98(exterior alternate angle

7

×=90(alternate angle

8

×=130(alternate angle

Answer:

the value of x = -3

Step-by-step explanation:

10 (x-5) = -80

10x - 50 = -80

10x = -30

x = -3

CHECK:

10 ( -3 - 5) = -80

10 (-8) = -80

-80 = -80