In doing this you can use the factoring method to do this faster. Start by dividing both sides by two to simplify the equation. X^2 now equals 100.
You can move 100 to the other side of the equation so that x^2-100=0. You can now factor and solve using the zero product property.
x^2-100=0
(x+10)(x-10) = 0
x equals 10 and -10.
Answer:
First Integer = 16
Second Integer = 18
Third integer = 20
Step-by-step explanation:
An even integer is represented by 2n
Where n is any integer
Let :
First Integer = 2n - 2
Second Integer = 2n
Third integer = 2n + 2
The sum of three even consecutive numbers = 2n - 2 + 2n + 2n + 2
= 2n + 2n + 2n - 2 + 2 = 54
= 6n = 54
n = 54/6
n = 9
First Integer = 2n - 2 = 2(9) - 2
= 16
Second Integer = 2n = 2(9)
= 18
Third integer = 2n + 2 = 2(9) + 2
= 20
Answer:
900,000
Step-by-step explanation:
It's so easy. Don't need to explain.
Answer:
72,220 inches per minute
Step-by-step explanation:
A car's wheels spins at 1000 revolutions per minute. The diameter of the wheels is 23 inches.
1 revolution =
radians

Speed 
r is the radius , theta is the angle and t is the time
We know diameter = 23 , then radius = 23/2
Speed 
Value of pi = 3.14
speed = 23000* 3.14= 72220 inches/ minute
The unit rate is 60 miles per hour and the driver will reach before time with the calculated constant speed
Step-by-step explanation:
Given
Distance = d = 45 miles
Time = t = 3/4 hour
The unit rate is defined as the distance per unit time. In this case, the unit rate can also be called speed.
So,

Using this unit rate we can see if the car can travel 65 miles in 1.25 hours or not
Given
Distance = d1 = 65 miles
Speed = s = 60 miles per hour
Putting the values in the formula for speed

As we can see that 1.08 is less than 1.25 so the driver will reach the meeting before time if he drives on a constant speed of 60 miles per hour
Hence,
The unit rate is 60 miles per hour and the driver will reach before time with the calculated constant speed
Keywords: Speed, unit rate
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