P v Q is a disjunction, which is true whenever P or Q is true or both are true. P v Q is false only when P and Q are both false.
You know that Q is false, because 3 is not the square root of 10, so the only possibility for P v Q be true is that P is true.
If that is the case, you have this relation:
T F ---> T
which means True and False imply True
Answer: a. 1759.52 radians/minutes
b. 1407.62 feet/minutes
Step-by-step explanation:
Diameter = 1.6 feet
Radius = Diameter/2= 1.6/2 = 0.8 feet
N = 280 revolution
a. Angular speed(w) = 2πN
= 2π × 280
= 560π
= 560 × 3.142
= 1759.52 radians/minutes
Speed of cyclist = wr
= 1759.52 × 0.8
= 1407.62 feet/minutes
Answer:
1 1/2 cups of jam per jar
Step-by-step explanation:
Divide 7 1/2 by 5 to get 1 1/2 cups of jam per jar.
Answer:
x y
0 0 - this is the y intercept
1 -4
2 -8
3 -12
4 -16
Step-by-step explanation:
Answer:
The merchant buys 30 shirts originally.
Step-by-step explanation:
Let us assume that the merchant bought x numbers of shirts in $120.
So, the cost for each shirt is $
.
Now, if the cost for each shirt is reduced by 1$, then he would have bought 10 shirts more i.e. (x + 10) shirts in $120.
So, we can write the following equation as
⇒(120 - x)(x + 10) = 120x
⇒ 120x - 10x + 1200 - x² = 120x
⇒ x² +10x - 1200 = 0
⇒ x² + 40x - 30x - 1200 = 0
⇒(x + 40)(x - 30) = 0
⇒ x = - 40 or x = 30
But x can not be negative.
Hence, the merchant buys 30 shirts originally. (Answer)
