at 8:03 am there are 188 empty seats on the train. at 8:10 am there are 160 empty seats. the number of seats decreases by the same amout each minute. (a)what equation can be used to relate the number of minutes after 8:00 am (M) to the number of empty seats on the train (E)? (b)how many seats will be empty at 8:15? (c)at what time will there be 120 empty seats? (d)at what time will there be no empty seats left ?

Answers

Answer 1

Answer: Given:
8:03 = 188 empty seats
8:10 = 160 empty seat

188 - 160 = 28 empty seats
8:10 - 8:03 = 0:07 minutes

28 / 7 minutes = 4 empty seats per minute

8:00 - 8:03 = 3 minutes
3 minutes * 4 seats per minute = 12 seats

188 + 12 = 200 empty seats at 8:00

8:15 - 8:10 = 0:05 minutes
5 minutes * 4 seats per minute = 20 empty seats
160 - 20 = 140 empty seats at 8:15

200 - 120 = 80 empty seats
80 empty seats / 4 empty seats per minute = 20 minutes
120 empty seats at 8:20.

8:00 = 200 empty seats
200 / 4 = 50 minutes
8:00 + 0:50 = 8:50 is the time when there are no empty seats left.

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1. Determine the constant of variation for the direct variation given.R varies directly with S. When S is 16, R is 80.
1/5
5
16

Answers

$R\ varies\ directly\ as\ S\n\n(R)/(S)=k\n\nk-constant\ of\ variation\n\nk=(80)/(16)=5\n\nAnswer\ is\ 5.$

Answer:

Step-by-step explanation:

The value of 7 is 200 percent of what number?

Answers

14. Multiply by 2.00, as u would in moving a decimal point 2 times to the right when converting a percent to a decimal.

$1\%\cdot a= (1)/(100)\cdot a\n \n--------------------------\n200\%\cdot7= (200)/(100) \cdot 7=2\cdot 7=14\n \nAns. \ 14$

Rewrite the simplest term for ( -x-7y) - (-3x+9y)

Answers

Answer:

2x - 16y

Step-by-step explanation:

To rewrite the expression in the simplest term, we can distribute the negative sign in the second set of parentheses:

( -x-7y) - (-3x+9y)

= -x-7y + 3x-9y

Then, we can combine the x and y terms:

= -x + 3x - 7y - 9y

Finally, we can simplify the expression by canceling out the x terms:

( -1 + 3 )x - 7y - 9y

= 2x - 16y

Therefore, the simplest term for the expression is 2x - 16y.

Answer:2(x−8y)

Step-by-step explanation:

To find the opposite of −3x+9y, find the opposite of each term.

−x−7y−(−3x)−9y

The opposite of −3x is 3x

.−x−7y+3x−9y

Combine −7y and −9y to get −16y

.−x−16y+3x

Combine −x and 3x to get 2x.

2(x-8y)

which property is shown by 0 9 = 9? distributive property commutative property of addition identity property of addition associative property of addition

Answers

0 + 9 = 9 is the property of addition identity

What's the slope of A(-10,6),B(-5,8)

Answers

Answer:

$(2)/( - 5)$

Step-by-step explanation:

$((y1 - y2)/(x1 - x2) \n = (6 - 8)/( - 10 - ( - 5)) \n = (2)/( - 10 + 5) \n = (2)/( - 5)$

The museum charges $12.50 for youth admission and $17.50 for adults. One day the museum collected $1535 from a total of 110 youths and adults. How many admissions of each type were sold?

Answers

x - young
y - adult

$12.50x+17.50y=1535\n x+y=110\n\n 12.50x+17.50y=1535\n x=110-y\n\n 12.50(110-y)+17.50y=1535\n 1375-12.50y+17.50y=1535\n 5y=160\n y=32\n\n x=110-32\n x=78$