Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 95 miles per hour. The eastbound train travels at 85 miles per hour. How long will it take for the two trains to be 468 miles apart?

Answer:2,910

Step-by-step explanation:

Answer:

2910

Step-by-step explanation:

We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.

If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

Distance:-

[tex]\\ \sf\longmapsto \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{(-9+15)^2+(8-3)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{(6)^2+(5)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{36+25}[/tex]

[tex]\\ \sf\longmapsto \sqrt{61}[/tex]

[tex]\\ \sf\longmapsto 7.32units[/tex]

Given info:- Find the distance between the points (-15,3) and (-9,8).

Explanation:-

Distance formulae:

Distance = √{(x₂ - x₁)² + (y₂ - y₁)²}

Let's figure out the distance between two points A = (-15,3) and B = (-9,8).

From those points,

x₁ = -15

x₂ = -9

y₁ = 3

y₂ = 8

Using them in the formula,

Distance btw AB = √[{(-9 - (-15)}² + (8 - 3)²]

= √[(-9 + 15)² + (8 - 3)²]

= √[(6)² + (5)²]

= √[(6*6) + (5*5)]

= √[36 + 25]

= √[61] Units.

Therefore, the distance between A(-25,3) and B(-9,8) is √(61) units.

Answer:

Step-by-step explanation:

21.

4(x + 7) - 2x

4x + 28 - 2x

2x + 28

answer: 2x + 28

22.

8(a + b) + 5(2a - 5b)

8a + 8b + 10a - 25b

18a - 17b

answer: 18a - 17b

-------------------------------------

Jhon's solution is wrong

1. first mistake

when you see this

10^5/10^4

the right solution is 10^(5 - 4) = 10^1 or just 10

2. second mistake

6.4/7.2 he inverted the fraction which is wrong

you can only invert the fraction when the power is negative

----------------------------------------------------------

now the correct answer is 6.4/7.2 x 10^5/10^4 = 0.88888888888888888888888888888889 x 10

or 0.9 x 10^1

or 8.9

Answer:

  x = 9 cm

  y = 4 cm

Step-by-step explanation:

The angle markings tell you the three angles of one triangle are equal to the three angles of the other triangle. That means the triangles are "similar", and the lengths of corresponding sides have the same ratio.

The bottom sides, between the angles with 1 mark and 3 marks, are shown as 3 cm in the green triangle and 6 cm in the blue triangle. This tells you all of the the green triangle dimensions are half those of the corresponding dimensions in the blue triangle:

  x = (18 cm)/2 = 9 cm

It also tells you the blue triangle dimensions are 2 times those of the green triangle:

  y = 2(2 cm) = 4 cm

_____

Additional comments

Corresponding sides having the same ratio means they are proportional (and vice versa). This can be expressed in equation form as ...

  y/(2 cm) = (18 cm)/x = (6 cm)/(3 cm)

__

You may want to discuss this problem with your teacher. The side lengths shown in the figure do not form a triangle. The two short sides are too short to connect to the ends of the long side. The figure is impossible.

Answer:

A'(-6,4) B'(2,2) C'(-2,-2)

Step-by-step explanation:

The dilation is by 2. This just means you multiply each number by two. FOr example, for point a, multiply -3 by 2 and 2 by 2 to get (-6, 4).

Answer:

Step-by-step explanation:

1) add all angles to 180

2) exterior angle = P + Q

i can add remaining ones also

Answer:

Step-by-step explanation:

Slope is change in y over the change in x

(r - 3) / (6 - 5) = -1

(r - 3) / (1) = -1

r - 3 = -1

r = 2

Answer:

A: -5/4 ; B: -0.5 ; C: 2

Step-by-step explanation:

Its the number line which shows.

Answer:

B = -0.5

A= -5/4

C= 2

Brainlest

Step-by-step explanation:

Answer:

Step-by-step explanation:

h(8) = -8 - 7

h(8) = -15

f(3) = -(3)² + 8(3) - 11

f(3) = -9 + 24 - 11

f(3) = 4

h(8) - 2 f(3) = -15 - 2(4) = -23

The value of the h(8) is -15, the value of f(3) 4 after plugging the values of x in the function and the value of h(8) - 2 f(3) is -23.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

Functions f(x) = -x²+8x-11 and

h(x)=-x-7

h(-8) = -8 - 7

h(-8) = -15

f(3) = -(3)² + 8(3) - 11

f(3) = -9 + 24 - 11

f(3) = 4

= h(8) - 2 f(3)

= -15 - 2(4)

= -23

Thus, the value of the h(8) is -15, the value of f(3) 4 after plugging the values of x in the function and the value of h(8) - 2 f(3) is -23.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

Answer:

22/45

Step-by-step explanation:

i literally just looked it up and that's what it gave me i pretty sure its right

Answer:

2n + 9

Step-by-step explanation:

3n - n + 4 + 5 = 2n + 9

Answer:

Step-by-step explanation:

Notice that the y-component is the same, -2, in these two points.  That means y does not change as x changes, and therefore we conclude that the slope of the line connecting the two points is m = rise / run = 0.

                                      -2 - (-2)

Alternatively, use m = -------------- = 0

                                        3 - 13

The value of the slope in question is zero:  m = 0

Answer:

C. y=3x-2

Step-by-step explanation:

Well we know the equation: y=mx+b

The slope is m, so m= 3

And the y-intercept is b, so b= (0,-2) or b=-2

Then,

Subsitute everything in:

y= 3x -2

I hope this helped :)

Step-by-step explanation:

168 hours I guess

have a food day

Answer:

Let x be the bigger number, and y be the smaller number.

[tex]x+y=200[/tex]

[tex]x=200-y[/tex]

Since the difference is 82,

[tex]x-y=82[/tex]

Substitute x in:

[tex](200-y)-y=82[/tex]

[tex]200-2y=82[/tex]

[tex]2y=200-82[/tex]

[tex]2y=118[/tex]

[tex]y=59[/tex]

[tex]x=200-59[/tex]

[tex]x=141[/tex]

Answer:

It's the 3rd option

Step-by-step explanation:

A function cannot have one value of 5 associated to more than one value on y

Answer:

35

Step-by-step explanation:

if not correct I'm very very sorry I tried my best for this</3

Answer:

-14

Step-by-step explanation:

2c + d

We are given the values of c and d:

c = -9

d = 4

We substitute in these values

2(-9) + 4 = ?

2 times -9 is -18

-18 + 4 = -14

2c + d = -14

Answer: 34,000 Dinars

Step-by-step explanation: As 25,000 + 9000 is 34,000

or

- BRAINLIEST answerer

Answer:

Chris drove the truck 203 miles.

Step-by-step explanation

So, first I subtracted the base free cost of the amount he paid and got $152.25. Then, I divided $152.25/0.75 and got 203. S0, that's how I got the answer. I subtracted the base free because we know he had to pay that initially and then I just divided the rest of the money he had to pay by 0.75 because he was charge 0.75 per mile driven.

Answer:

y=3/5x+3 i think

Step-by-step explanation:

3 is the y intercept, and to find the slope its rise over run so 3 up and 5 to the side, i hope this helps!!

Answer:

2 x 6 = 12

6 x 2 = 12

12 ÷ 6 = 2

12 ÷ 2 = 6

Step-by-step explanation:

Answer:

[tex]5^{\frac{5}{3} }[/tex]

Step-by-step explanation:

Using the rules of exponent

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

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]

[tex]\frac{25}{\sqrt[3]{5} }[/tex]

= [tex]\frac{5^2}{5^{\frac{1}{3} } }[/tex]

= [tex]5^{\frac{6}{3}-\frac{1}{3} }[/tex]

= [tex]5^{\frac{5}{3} }[/tex]

Answer:

yellow: x=6

red: y=4

blue: y=-2

Step-by-step explanation:

Answer: R= 4

Step-by-step explanation:

FOR step by step explanation ask me by my mail , Thanks !

Answer:

174 cm

Step-by-step explanation:

1.83 m to cm is 183.

So, 183 cm - 9 cm = 174cm

Hope you understand ^^

Answer:

174 cm

Step-by-step explanation:

1 meter is equal to 100 centimeter so 1.83m times 100 is equal to 183cm. so 183 cm-9cm=174 cm