Answer:
4, I went down first. It is coming by 1/2. Then I went up to 5 again..5=2 1/2. Then I went to 1/2 until I went to 8. 1/2 to 8 and got 4 total servings of milk
Step-by-step explanation:
Answer:
The angles are supplementary.
Step-by-step explanation:
Angles that add up to 90° are complementary, while angles that add up to 180° are supplementary.
An equation is formed of two equal expressions. The solution is (-9,-2).
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given the equation x + 3y = -15 and -3x + 2y = 23,
Step 1- Multiply the equations to make the coefficients match in either the x- or y-variable.
x + 3y = -15
3x + 9y = -45
Step2- After you multiply, add or subtract the two equations.
3x + 9y -3x + 2y = -45 + 23
Step 3- Then solve for the variables that is left.
11y = -22
y = -2
Step4- Substitute the value of y in any one of equations to solve for x.
x + 3(-2) = -15
x - 6 = -15
x = -9
Hence, The solution is (-9,-2).
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Answer:
y = (5/4)x + 6
Step-by-step explanation:
The 1st line's equation is:
● 4x + 5y = 20
Substract 4x from both sides
● 4x + 5y - 4x = 20 - 4x
● 5y = 20 -4x
● 5y = -4x + 20
Divide both sides by 5
● 5y/5 = (-4x + 20)/5
● y = (-4/5)x + 4
● y = -0.8x + 4
Let m be the slope of the second line
The lines are perpendicular so the product of their slopes equals -1
Then: m × (-0.8) = -1
● m × (-0.8)= -1
● m = -1/(-0.8)
● m = 1.25
y = 1.25x + b
b is the y-intercept of the line.
To get it replace by the coordinates of a point.
We are given that the line passes through (-4,1)
● y = 1.25x + b
● 1 = 1.25 × (-4) + b
1.25 is 5/5
● 1 = (5/4) × (-4) + b
● 1 = -5 + b
Add 5 to both sides
● 1 + 5 = -5 + b + 5
● b = 6
So the equation is
● y = (5/4)x + 6
To convert mixed number fractions you can:
→ Convert them into improper fractions
→ Give the fractions common denominators
→ Subtract the two numerators, keeping the denominator
→ If necessary, simplify and convert your fraction back to a mixed number fraction
Example: 3 5/6 - 1 2/3
→ 23/6 - 5/3
→ 23/6 - 10/6
→ 13/6 = 2 1/6
∴ 3 5/6 - 1 2/3 = 13/6 OR 2 1/6
