Answer: 
Step-by-step explanation:
To solve this exercise you need to remember the following properties:
1. The Distributive property states that:
2. The Addition property of Equality statest that:
If 
, then 
3. The Subtraction property of Equality statest that:
If , then 
4. The Division property of Equality statest that:
If , then 
5. The Multiplication property of Equality statest that:
If , then 
Given the equation:
You must solve for "g" in order to find its value:
- Apply the Distributive property:
- Apply the Addition property of Equality adding 30 to both sides of the equation:
- Apply the Division property of Equality dividing both sides by 2:
Answer:
Option E is correct.
12 pairs of socks and 15 pairs of shorts did team buy each year.
Step-by-step explanation:
Let the number of pairs of socks be x and the number pairs of shorts be y.
As per the statement:
Last year, the volleyball team paid $5 pair for socks and $17 per pair for shorts on a total purchase of $315.
⇒
.....[1]
It is also given that: This year they spent $342 to buy the same number of socks and shorts, because the socks now cost $6 a pair and the shorts cost $18.
⇒
.....[2]
Multiply equation [1] by 6 both sides we get;
.......[3]
Multiply equation [2] by 5 both sides we get;
.....[4]
Subtract equation [4] from [3] we get;
Divide both sides by 168 we get;
y = 15
Substitute the given values of y =15 in [1] we get;
5x+17(15) = 315
5x + 255 = 315
Subtract 255 from both sides we get;
5x = 60
Divide both sides by 5 we get;
x = 12
Therefore, 12 pairs of socks and 15 pairs of shorts did team buy each year.
Answer:
y=24
z=100
Step-by-step explanation:
5y-40=80(vertical angles)
add 40 to each side
120-40=80
z=180-80
z=100
Answer:
C y = 1/3 x - 1
Step-by-step explanation:
The y-intercept is -1, so b = -1.
The slope is run/rise = 1/3
Equation:
y = 1/3 x - 1
6/7 . 42 and 49 are both have the number 7 in common. So just simply divided 7 by both numbers.
