To simplify this fraction, multiply the entire fraction by the conjugate of the denominator. The conjugate of a square root and a number being added to it would be the number <em>subtracted </em>from the square root. In other words, the conjugate of 
would be
.
Applying that information to our fraction shown here, the conjugate of the denominator would be 
. We will multiply both the numerator and denominator of our original fraction by this expression to obtain our answer, as shown below.
Our answer is 
.
Answer:
A) $14/hr B) Austin
Step-by-step explanation:
A)
If he earns $140 in 10 hours you can divide 140 by 10 to find out how much he makes per hour
B)
Sarah makes $13/hr which is $1 less than Austin
Answer:
91
Step-by-step explanation:
Let x be the smallest one:
● x is the first number
● x+1 is the second number
● x+2 is the third number
The sum of these numbers is 276
● x+(x+1)+(x+2) =276
● x+x+1+x+2 = 276
● 3x + 3 = 276
Substract 3 from both sides:
● 3x+3-3 = 276-3
● 3x = 273
Divide both sides by 3
● (3x)/3 = 273/3
● x = 91
So the smallest one is 91
Answer:
Volume of a cylinder = 549.5 cm³
Step-by-step explanation:
Volume of a cylinder = πr²h
Where,
π = 3.14
Radius, r = 5 cm
Height, h = 7 cm
Volume of a cylinder = πr²h
= 3.14 * (5 cm)² * 7 cm
= 3.14 * 25 cm² * 7 cm
= 549.5 cm³
Volume of a cylinder = 549.5 cm³
Answer:
the answer will be 0.462
Step-by-step explanation:
