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photoshop1234 [79]
3 years ago
13

Two buses are moving towards each other, one at a speed of 40 mph and the other at a speed of 50 mph. How much closer to each ot

her will they be in two hours?
Mathematics
1 answer:
Luba_88 [7]3 years ago
5 0

Answer:

180 miles

Step-by-step explanation:

The are moving towards each other at 50 mph and 40 mph which is the same as 90 mph. They are moving 90 mph closer to each other every hour so in 2 hours it would be 180 miles.

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Find three consecutive odd positive integers such that 5 times the sum of all three is 72more than the product of the first and
Alenkasestr [34]
Let the positive odd numbers be x,x+2,x+4.
According to the question,
5(3x+30)=72+x^2+4x
x^2-13x+42=0
(x-6) and (x-7)=0
x=6 or x=7
8 0
3 years ago
(TEN POINTS)
Rainbow [258]
F(-1)= -3 is (-1,-3) and f(2) = 6 is (2,6) where f(x) = y
y=mx + b is the slope-intercept form whereas m equals the slope (rate of change) and b equals the y-intercept (initial amount/what y is when x is 0.)

First, we need to find the slope between the two points (-1,-3) and (2,6). To find the slope we could use one of it's formulas \frac{y^2 - y^1}{x^2 - x^1}.  
1. (-1,-3)
2. (2,6)
\frac{6 - -3}{2 - -1} → \frac{9}{3} → \frac{3}{1}

The slope is 3 (\frac{3}{1}). Thusly, y = 3x + b

To find out the y-intercept, we can reverse the slope. [Note: This \frac{3}{1} is in \frac{rise}{run} where rise is 'y' and run is 'x'. Reversed would be \frac{-3}{-1} ]. Take the second ordered pair and use our reversed slope on it until we get 0 for x. 

(2, 6) ⇒ (2 - 1, 6 -3) ⇒ (1, 3) ⇒ (0,0)

Y-intercept is 0. Therefore, y= 3x + 0 [NOTE: y = f(x), so if you want it in function notation form it's just f(x) = 3x + 0.]
6 0
3 years ago
PRE CALCULUS
Mumz [18]
Start with the parent function f(x) = x³

Notice the function f(x) = (x - 4)³ that a value '4' is subtracted from 'x' ⇒ This means the function f(x) is translated four units to the right.

Then the function f(x) = ¹/₂ (x - 4)³, the function (x - 4)³ is halved vertically ⇒ Half the y-coordinate

Then the function f(x) = ¹/₂ (x - 4)³ + 5 that a value '5' is added to ¹/₂ (x - 4)³ ⇒ This means the function f(x)  is translated five units up

So the order of transformation that is happening to f(x) = x³ is translation four units to the right, half the y-coordinate, then translate 5 units up.

3 0
3 years ago
26.891 to the nearest ten thousands place
Ahat [919]

the number isn't large enough to round to the nearest ten thousandths.

 that would be the 4th digit to the right of the decimal point, so we would need the 4th and 5th numbers to the right in order to round the answer.

6 0
3 years ago
I need help plz you leave you house at 1 p.m to go to a wedding. The ceremony starts at 5 p.m. and is 350 miles away. You drive
3241004551 [841]
You leave at 1 P.M., the wedding ceremony starts at 5 P.M.

This gives you a 4 hour gap, the Wedding is 350 miles away, and you're traveling at 65 miles an hour.

Simply you can use two methods, (65 * 4) to verify if you'd make it or not or (350/65) to ensure how many hours it would take in total.

65 * 4 = 260 | Since this is not 350, we can verify that you'd be late.
350/65 = 5.4 (estimated) | Meaning it'd take about 5.4 hours.

To know how long that is we'd have to convert over.

5.4 = 5 2/5ths, 60 minutes are in an hour. Divide 60 by 5 to get 12, meaning:
1/5ths = 12/60ths, with that said multiply that by 2 to get your answer.
2/5ths = 24/60ths or 24 minutes.

This means you'd take 5 hours and 24 minutes to get there.

Originally we stated that the process would take 4 hours. Subtract:

(5 hours and 24 minutes) - (4 hours) = (1 hour and 24 minutes)

Concluding that you'd be late by an hour and 24 minutes.

I hope this helps, have a great rest of your day! ^ ^
| | Ghostgate | |
4 0
3 years ago
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