With one cup of sugar, you need five cups of water. For one cup, you divide one by five, which would be 1/5 cups of sugar.
Answer:
Step-by-step explanation:
<u>Equation of a Line</u>
We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.
We are given a line
And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y
The coefficient of the x is the slope
The slope of the perpendicular line is the negative reciprocal of m, thus
We know the second line passes through (2,3). That is enough information to find the second equation:
Operating
Simplifying
That is the equation in slope-intercept form. Intercept: y=4
Hey!
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Solution:
Divide to get the decimal.
79 / 100 = 0.79
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Answer:
0.79
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Hope This Helped! Good Luck!
Answer: One plain roll is 4 dollars and one shiny roll is 6 dollars.
Step-by-step explanation:
lets start by saying
rolls of plain wrapping paper = x
rolls of shiny wrapping paper = y
Kathryn sold 4 plain rolls and 3 shiny rolls for 34 dollars.
4x+3y=34
Eugene sold 4 plain rolls and 2 shiny rolls for 28 dollars
4x+2y=28
Both equations will look like this.
4x+3y=34
-1(4x+2y)=(28)-1
we can multiply the second equation by -1 to get y alone. (doesn't matter which equation). Once you do that, the positive 4x and the negative 4x cancel out, 3y-2y=1y and 34-28=6. you are left with
1y=6 so one shiny roll is 6 dollars.
now use that price to find the cost of the plain roll.
lets use Kathryn's equation
4x + 3(6)=34
4x + 18= 34
-18 -18
4x=16. Divide by 4 to find cost of one plain roll.
16÷4=4. One plain roll costs 4 dollars.
Lets check. Using Kathryn's equation,
4(4) + 3(6)=34
16+18=34
34=34. We are right.
For the first triangle the sum of angles in any given triangle is equal to 180 degrees.
The equation for the first triangle would be: 60+80+x+51= 180
Solving it we get: 191+x=180
x=-11.
The second triangle’s equation is: 90+45+52+x= 180
Solving it we get: 187+x=180
x=-7
The third triangle’s equation is: 4+7x= 90
This is because it is a right angle.
Solving it we get: 12.2 (rounding)
x=about 12.2
For the fourth triangle the equation is: 6x-5+5x=105 (we subtract 75 to 180 to get the sum of the other two angles)
Solving it we get: 11x=110
x=10.
Hope this helps! ( and if you can please give brainliest, it would mean a lot!)
