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GrogVix [38]
3 years ago
15

What is the solution for the equation? 443? 9. - 10 9. "

Mathematics
1 answer:
saw5 [17]3 years ago
6 0

<h2>Answer: </h2>

The coordinates of the point that makes the division in the given ratio is (0,3)

Step-by-step explanation:

Here, we want to find the point on the line segment that divides the line segment in the ratio 1:2

We simply use the internal division formula

That would be;

(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)

m = 1 and n = 2

(x1,y1) = (4,9)

(x2,y2) = (-8,-9)

Substituting these values into the formula, we have;

2(4) + 1(-8)/(1 + 2) , 2(9) + 1(-9)/(2 + 1)

= (8-8)/3 , (18-9)/3

= (0,3)

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The puppy weighed 2 pounds when it was born. He has gained weight, but still weighs less than 11 pounds. How much weight could h
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3 years ago
The sum of three numbers is 104. The first number is 10 less than the second. The third number is 4 times the second. What are t
Shalnov [3]

Answer:

The numbers are 9, 19 and 76.

Step-by-step explanation:

Let's take the second number and make it a variable, like x. Now let's find all the other numbers in terms of x.

The first number in terms of x:

x - 10

The second number in terms of x:

4x

If we add them all up, these 3 numbers in terms of x must be equal to 104, so:

x + (x - 10) + (4x) = 104 \\ x + x - 10 + 4x = 104 \\ 6x - 10 = 104 \\ 6x = 114 \\ x = 19

Now that we know the second number, we can find the other numbers since we already figured out their values in terms of x:

19 - 10 = 9

4 \times 19 = 76

The first number is 9, second number 19 and the third number 76.

6 0
3 years ago
Luis can do 78 up downs in 4 minutes. At this rate, how many
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Step-by-step explanation:

6 0
4 years ago
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I really don't get it can you give me the answer then explain why it is that one please ​
Ronch [10]

Answer:

\frac{100}{9} is the answer.

Step-by-step explanation:

Well the first thing we would do is simplify all the exponents first inside the parenthesis. So 2^-3 is equal to 1/8. To solve negative exponents you would just divide the number instead of multiply, so 2 divided by 2 divided by 2 is equal to ⅛ or .125

Next would be to do the 2^-9. This would equal 1/512

Now would be to simplify 5^0. Anything to the power of 0 is always one. So now we simplify all the products meaning 7*5*2 and 7*3.  

Now we would simplify both fractions.

The picture are pretty much self explanatory. If you have any questions feel free to ask in the comments - Mark

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7 0
3 years ago
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At a historical landmark, candles are used to simulate an authentic atmosphere. A volunteer is currently putting new candles in
myrzilka [38]

Answer:

Each small candleholder holds 3 candles, and each large one holds 5 candles.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of candles that a small candleholder holds.

y is the number of candles that a large candleholder holds.

24 small candle holders and 3 large candle holders, using a total of 87 candles.

This means that

24x + 3y = 87

Simplifying by 3

8x + y = 29

y = 29 - 8x

14 small candle holders and 7 large candle holders, for a total of 77 candles.

This means that 14x + 7y = 77

Simplifying by 7

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Since y = 29 - 8x

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y = 29 - 8x = 29 - 8*3 = 29 - 24 = 5

Each small candleholder holds 3 candles, and each large one holds 5 candles.

5 0
3 years ago
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