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melamori03 [73]
3 years ago
6

what are the coordinates of a point on the directed line segment from (5,9) to (8,-6) that partitions the segment into a ratio o

f 3 to 2
Mathematics
1 answer:
HACTEHA [7]3 years ago
7 0

the answer is 15 i think yadayadayada

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A group of 3 adults and 5 children pay a total of 52$ for movie tickets
Paladinen [302]

Answer:

  • $9 adult
  • $5 child

Step-by-step explanation:

Letting "a" and "c" represent the costs of adult tickets and child tickets, the problem statement gives us two relations:

  3a +5c = 52

  2a +4c = 38

__

We can solve this system of equations using "elimination" as follows:

Dividing the first equation by 2 we get

  a +2c = 19

Multiplying this by 3 and subtracting the first equation eliminates the "a" variable and tells us the price of a child ticket:

  3(a +2c) -(3a +4c) = 3(19) -(52)

  c = 5 . . . . . . collect terms

  a +2·5 = 19 . . substitute for c in the 3rd equation above

  a = 9 . . . . . . subtract 10

One adult ticket costs $9; one child ticket costs $5.

6 0
3 years ago
State the slope-intercept form of the equation for the graph with the points 3,0 and 0,-1
Dvinal [7]

Answer:

The answer is y=1/3x-1

Step-by-step explanation:

m=1/3

y-y=m(x-x1)

y-(-1)=1/3(x-0)

y+1=1/3x-0

-1 -1

y=1/3x-1

6 0
3 years ago
If your starting salary is $50,000 and you receive a 4%increase at the end of every year, what is the total amount, indollars, y
Softa [21]
Answer

Total amount earned after 16 years = $93649

Explanation:

The principal, P = $50,000

Interest rate, r = 4% = 4/100

r = 0.04

The time, t = 16 years

Number of times intesrest is compounded per year, n = 1

Total amount is calculated below:

\begin{gathered} A=P(1+r)^t \\  \\ A=50000(1+0.04)^{16} \\  \\ A=50000(1.04)^{16} \\  \\ A=\$93649 \end{gathered}

Total amount earned after 16 years = $93649

4 0
1 year ago
You read 50 pages in an hour your sister reads 40 pages in an hour how many more pages did you read than your sister reads in 1/
Elena-2011 [213]

To start to figure this problem out, we can first figure out how many more pages you read in an hour compared to your sister.


50 - 40 = 10, so you read 10 more pages in 1 hour.


Now we have to figure out how much more you would read in 1/2 an hour. Since 1/2 an hour is 1/2 of an hour, we can divide 10 by 2 to figure out how many more pages you read in an hour compared to your sister. 10 divided by 2 is 5, so you read 5 more pages every half hour.

6 0
3 years ago
many ® Black pencils cost N75 each and coloured pencils cost N105 each. If 24 mixed pencils cost #2010, how of them were black?
laila [671]

Answer:

85

Step-by-step explanation:

I hope my answer help you

7 0
3 years ago
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