Find the slope of the line that goes through the two points below.

Mathematics

1 answer:

timama [110]3 years ago

6 0

Answer:

-4

Step-by-step explanation:

The slope of the line is found by

m = (y2-y1)/(x2-x1)

= (-7 - -19)/(-2 -1)

= (-7+19)/(-2-1)

= 12/-3

= -4

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There are 140 apples for every 91 cups of water how many apples are needed for every 1 cup of water

podryga [215]

Answer:

The number of apple for 1 cup of water is 1.5 apples

Step-by-step explanation:

Given as :

The number of cups of water = 91 cups

The number of apples for every 91 cups of water = 140

Let The number of apple for 1 cup of water = n

<u>Now, From unitary method :</u>

∵ For every 91 cups of water , the number of apple needed = 140

∴ For every 1 cup of water , the number of apple needed = $\frac{140}{91}$

I.e n = $\frac{140}{91}$

or, n = 1.5 apples

The number of apple for 1 cup of water = n = 1.5 apples

Hence The number of apple for 1 cup of water is 1.5 apples Answer

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3 years ago

The sum of the digits of a two-digit number is 12. The number formed by interchanging the digits is 54 more than the original nu

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Let X and Y be the digits.
If a two-digit number is written XY, then its value is 10x+y.
When the digits of the number are interchanged, it's YX, and its value is 10y+x.

The sum of the digits is 12.
The number formed by interchaning the digits is 54 more than the original number.

$x+y=12 \\
10x+y+54=10y+x \\ \\
x+y=12 \\
10x-x+y-10y=-54 \\ \\
x+y=12 \\
9x-9y=-54 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\div 9 \\ \\
x+y=12 \\
\underline{x-y=-6} \\
x+x=12-6 \\
2x=6 \\
x=\frac{6}{2} \\
x=3 \\ \\
x+y=12 \\
3+y=12 \\
y=12-3 \\
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The digits X and Y are 3 and 9, so the original number is 39.

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