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3 years ago

13

A passenger train traveled 120 miles in the same amount of time it took a freight train to travel 70 miles. The rate of the frei

ght train was 30 miles per hour slower than the rate of the passenger train. Find the rate of the passenger train.
PLEASE HELP ASAP

1 answer:

Vladimir [108]3 years ago

7 0

Answer: The rate of the passenger train was 72 mph.

Step-by-step explanation:

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If f(x)= -2x²-,find f(0).

IRINA_888 [86]

Answer:

0

Step-by-step explanation:

f(0) = -2(0)²

= -2(0)

= 0

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3 years ago

For breakfast, a customer can choose two different items from the following list: eggs pancakes waffles oatmeal bacon or muffin.

Colt1911 [192]

${ 6\choose 2}=\frac{6!}{2!4!}=\frac{6\cdot5}{2}=3\cdot5=15$

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3 years ago

Can anyone help me find the coordinates (?,?) given that the shape is a parallelogram? (15 points)

xxTIMURxx [149]

The missing coordinates of the parallelogram is (m + h, n).

Solution:

Diagonals of the parallelogram bisect each other.

Solve using mid-point formula:

$$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right )$

Here $x_1=m, y_1=n, x_2=h, y_2=0$

$$=\left( \frac{m+h}{2}, \frac{n+0}{2}\right )$

$$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n}{2}\right )$

<u>To find the missing coordinate:</u>

Let the missing coordinates by x and y.

Here $x_1=0, y_1=0, x_2=x, y_2=y$

$$\text{Midpoint}=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{x}{2}, \frac{y}{2}\right )$

Now equate the x-coordinate.

$$ \frac{m+h}{2}=\frac{x}{2}$

Multiply by 2 on both sides of the equation, we get

m + h = x

x = m + h

Now equate the y-coordinate.

$$\frac{n}{2} = \frac{y}{2}$

Multiply by 2 on both sides of the equation, we get

n = y

y = n

Hence the missing coordinates of the parallelogram is (m + h, n).

5 0

3 years ago

A cinema has three screens last Saturday there were 500 visitors 40% went to screen 1 ,25% went to screen 2 the rest went to scr

ratelena [41]

Answer:

200 visitors went to screen 1.

125 visitors went to screen 2.

175 visitors went to screen 3.

Step-by-step explanation:

We will find number of visitors who went to screen 1 by finding 40% of 500 as we are told that 40% of 500 visitors went to screen 1.

$500*\frac{40}{100} =5*40=200$

Therefore, 200 visitors went to screen 1.

Now we will find number of visitors who went to screen 2. We are told that 25% of 500 visitors went to screen 2.

$500*\frac{25}{100} =5*25=125$

Therefore, 125 visitors went to screen 2.

Now we will find the number of visitors who went to screen 3 by subtracting combined number of visitors who went to screen 1 and screen 2 from total number of visitors.

$500-(200+125)$

$500-325=175$

Therefore, 175 visitors went to screen 3.

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3 years ago

Please show work and will give Brainliest!!!!

Tpy6a [65]

Answer:

y + 9 = -0.4(x-7)

Step-by-step explanation:

in slope form , we will use y - y1 =m ( x - x1) ,

which will be y + 9 = -2/5(x-7) ,

in reduced form , we have y + 9 = -0.4(x-7)

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3 years ago