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Oksi-84 [34.3K]
3 years ago
15

Two trains leave stations 442 miles apart at the same time and travel toward each other. One train travels at 95 miles per hour

while the other travels at 75 miles per hour. How long will it take for the two trains to meet?
Mathematics
1 answer:
Brrunno [24]3 years ago
6 0

(75 + 95) \times x = 442

x =  \frac{442}{75 + 95}  = 2.6

so it takes 2.6 of hours which is the same as 2 hours and 36 minutes for them to reach eachother.

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7. A letter from the word PERSONALITY and a card from a standard deck are chosen at random. How many outcomes are possible?
yKpoI14uk [10]

Answer:

11

Step-by-step explanation:

There are more than eleven cards in a deck but there can only be one outcome because there are only 11 letters in the word PERSONALITY.

8 0
4 years ago
Find the probability that a randomly selected point within the circle falls in the white area
MrMuchimi

Answer:

Step-by-step explanation:

The white area is the area of the circle minus the area of the triangle.

Aw=pr^2-hb/2

Aw=p4^2-6.5(6)/2

Aw=16p-19.5

The probability of selecting the white area is the white area divided by the area of the circle

P(W)=(16p-19.5)/(16p), p=3.14

P(W)=0.61

4 0
3 years ago
What is the value of x in the equation x – y = 30, when y = 15?
joja [24]
I think isn't anyone of these alternatives because if we put number 15 in the place of y it is x-y=30. X-15=30
X=30+15=45.
X=45
4 0
3 years ago
Find the sum of a finite geometric sequence from n = 1 to n = 7, using the expression −4(6)n − 1.
Verizon [17]

Answer:

<h2>-223,948</h2>

Step-by-step explanation:

The formula of a sum of terms of a gometric sequence:

S_n=a_1\cdot\dfrac{1-r^n}{1-r}

a₁ - first term

r - common ratio

We have

a_n=-4(6)^{n-1}

Calculate a₁. Put n = 1:

a_1=-4(6)^{1-1}=-4(6)^0=-4(1)=-4

Calculate the common ratio:

r=\dfrac{a_{n+1}}{a_n}\\\\a_{n+1}=-4(6)^{n+1-1}=-4(6)^n\\\\r=\dfrac{-4(6)^n}{-4(6)^{n-1}}=6^n:6^{n-1}\\\\\text{use}\ a^n:a^m=a^{n-m}\\\\r=6^{n-(n-1)}=6^{n-n+1}=6^1=6

\text{Substitute}\ a_1=-4,\ n=7,\ r=6:\\\\S_7=-4\cdot\dfrac{1-6^7}{1-6}=-4\cdot\dfrac{1-279936}{-5}=-4\cdot\dfrac{-279935}{-5}=(-4)(55987)\\\\S_7=-223948

7 0
4 years ago
What is the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4) ?
maxonik [38]
ANSWER

y + 5= - \frac{9}{11} (x-3)

or

y - 4= - \frac{9}{11} (x + 8)

EXPLANATION

We want to find the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4).

The point-slope form is given by;

y-y_1=m(x-x_1)

where

m = \frac{4 - - 5}{ - 8 - 3} = \frac{4 + 5}{ - 11} = - \frac{9}{11}

is the slope of the line.

If

(x_1,y_1)=(3,-5)

The point-slope form is

y + 5= - \frac{9}{11} (x-3)

On the other hand, if
(x_1,y_1)=( - 8,4)

Then the point-slope form is,

y - 4= - \frac{9}{11} (x + 8)

These two equations are the same when simplified.
4 0
3 years ago
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