Answer:
Step 1: Distribute 
to 
and 
Step 2: Subtract from both sides of the equation 
Step 3: Add to both sides of the equation 
Step 4: Divide both sides of the equation by 
Step-by-step explanation:
Step 1: Apply the Distributive Property. Then you must distribute to and
Then:
Step 2: You must apply the Subtraction property of Equality and subtract from both sides of the equation. Then:
Step 3: You must apply the Addition property of Equality and add to both sides of the equation. Then:
Step 4: You must apply the Division property of Equality and divide both sides by . Then:
Given that a triangle in the coordinate plane has coordinates of (3, 5), (1, −3), and (−3, 4). Now these points are translated and the new coordinates are (1, 7), (−1, −1), and (−5, 6).
Questioon says to find which type of translation occured from the given choices.
It can be easily found by drawing the given coordinates.
Original position of the triangle is drawn in Brwon colour.
New position of the triangle is drawn in Green colour.
From graph we can clearly see that each of the original coordinate moves two unit left then 2 units upward to get new coordinate.
Hence choice "A) It moved left two units and up two units." is the final answer.
D = 14
1/6d + 2/3 = 1/4d - 1/2
2d + 4*2 = 3d - 6
2d - 3d = -6-8
-d = -14
d = 14
Answer: There were 78 red apples at the party.
Step-by-step explanation:
This situation can be represented by the equation
x + 3x + 2(3x) = 130 where x is the number of green apples, 3x is the number of yellow apples and 2(3x) is the number of red apples.
Now solve for x
x +3x +2(3x) =130
4x + 6x = 130
10x = 130
x = 13
Now we know that x is 13 so put it into the expression for red apples and solve for the actual number of red apples.
2 * (3*13) = ?
2 * 39 = 78
Let's create an equation to find the # of weeks until Chad learns 937 pieces.
x = # of weeks
937 = 2x + 805
Subtract 805 from both sides.
132 = 2x
Divide both sides by 2
66 = x
Chad will need 66 weeks of lessons to learn 937 pieces.
