The difference between the cups of sugar is 1/6, hence you have enough sugar.
<h3>Difference and sum of fractions</h3>
Fractions are written as a ratio of two integers, For instance, a/b is a fraction where a and b are integers.
According to the question, a recipe calls for 2 1/2 cups of sugar. If have 2 2/3 cups of sugar;
Difference of cups of sugar = 2 2/3 - 2 1/2
Convert to improper fraction
Difference = 8/3 - 5/2
Difference = 16-15/6
Difference = 1/6
Since the difference between the cups of sugar is 1/6, hence you have enough sugar.
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Answer:
x = - 7, x = 1
Step-by-step explanation:
Given
x² + 6x = 7
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = 7 + 9
(x + 3)² = 16 ( take the square root of both sides )
x + 3 = ±
= ± 4 ( subtract 3 from both sides )
x = - 3 ± 4
x = - 3 - 4 = - 7
x = - 3 + 4 = 1
Solution set = { - 7, 1 }
Answer:
170
Step-by-step explanation:
Add 160 and 45 and 125
Then subtract it to the total number of students
So 500 minus 330
This equation is written in slope intercept form
Remember that the slope intercept formula is:
y = mx + b
m is the slope
b is the y-intercept
In this case:
slope (m) is 2
y-intercept (b) is (0, - 1)
To plot this on a coordinate plane plot the y-intercept (0, -1).
To graph the rest of the line you can use what you know about the slope. Rise up two units and over to the right one unit from the y-intercept. You should arrive at the point (1, 1)
Then, again from the y-intercept, go down two units and to the left one unit. You should arrive at the point (-1, -3)
Now draw a straight line through the y-intercept and the other two points you just found
The image of the graph is shown below
Hope this helped!
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Answer: x= 5
Step-by-step explanation:
Plug the second equation into the first equation’s y.
3x-2(-2x+7)=21
Then use distribution
3x+4x-14=21
Add 4x and 3x
7x-14=21
Then add 14 to both sides
7x=35
Divide by 7 to get x
35/7=5
x=5