Answer:
5.7 liters
Step-by-step explanation:
The sum of 2 liters, 5 deciliters of lemon juice and 3 liters, 2 deciliters of water will be given as
2+3=5 liters
5+2=7 deciliters
Therefore, we get 5 liters, 7 deciliters of lemonade
Conversion
10 deciliters equal to 1 liter hence 7 deciliter will be 7/10=0.7 liters
5+0.7=5.7 liters
Answer:
Yes. (see below)
Step-by-step explanation:
First, find the slope of the line. You can do that by using the slope formula:
y2 - y1
m = ----------
x2 - x1
Now, choose any two points from the line to plug in. I'm using the points (0, 3) and (2, 4).
4 - 3
m = ------
2 - 0
1
m = --- = 1/2
2
Now, to simplify your situation, you can use the slope-intercept formula. To use this, you first need to find the slope and y-intercept.
The y-intercept is where the line meets the y-axis, which is (0, 3), so the y-intercept is 3.
Now, plug them in:
y = mx + b
y = 1/2x + 3
To see if a specific point is on this line—which, in this case, is (20, 13), plug them in and simplify to see if it's true:
13 = 1/2 (20) + 3
13 = 10 + 3
13 = 13
This is true, so the point (20, 13) is on this line.
Answer:
x = -2
Step-by-step explanation:
5x + 7 = 2x + 1
subtract both sides by 2x
3x + 7 = 1
subtract both side by 7
3x = -6
divide both sides by 3
x = -2
Answer:
He needs 16 ounces of raisins and 8 ounces of nuts
Step-by-step explanation:
Let
x -----> the number of ounces of raisins
y -----> the number of ounces of nuts
we know that
x+y=24 -----> equation A
x=2y -----> equation B
Solve the system by substitution
Substitute equation B in equation A and solve for y
(2y)+y=24
3y=24
y=8 ounces of nuts
Find the value of x
x=2(8)=16 ounces of raisins
therefore
He needs 16 ounces of raisins and 8 ounces of nuts
