5.500
p-1/4-(21/4)=0
Step by step solution :
STEP
1
:
21
Simplify ——
4
Equation at the end of step
1
:
1 21
(p - —) - —— = 0
4 4
STEP
2
:
1
Simplify —
4
Equation at the end of step
2
:
1 21
(p - —) - —— = 0
4 4
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 4 as the denominator :
p p • 4
p = — = —————
1 4
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
p • 4 - (1) 4p - 1
——————————— = ——————
4 4
Equation at the end of step
3
:
(4p - 1) 21
———————— - —— = 0
4 4
STEP
4
:
Adding fractions which have a common denominator :
4.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(4p-1) - (21) 4p - 22
————————————— = ———————
4 4
STEP
5
:
Pulling out like terms :
5.1 Pull out like factors :
4p - 22 = 2 • (2p - 11)
Equation at the end of step
5
:
2 • (2p - 11)
————————————— = 0
4
STEP
6
:
When a fraction equals zero :
6.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
2•(2p-11)
————————— • 4 = 0 • 4
4
Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
2 • (2p-11) = 0
Equations which are never true:
6.2 Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
6.3 Solve : 2p-11 = 0
Add 11 to both sides of the equation :
2p = 11
Divide both sides of the equation by 2:
p = 11/2 = 5.500
Hi!
From 4 p.m to 5:30 p.m. there is hour and a half, or 90 minutes.
Carolos played for 1/2 hour = 30 minutes.
Lisa played for 3/4 hour = 45 minutes.
Toni played = 90 - 45 - 30 = 15 minutes.
Hope this helps!
Answer:21
Step-by-step explanation:
Find the median. Separate everything above the median into two groups. Take the group with the larger numbers we’ll call this the upper quartile. Find the median of the larger group or upper quartile. Take the group with the smaller numbers, which we’ll call the lower quartile. Find the median of the smaller group or lower quartile. Subtract the median of the lower quartile from the median of the upper quartile and you will find the inner quartile range. In this case, it is 21
Answer:
6 miles
Step-by-step explanation:
AS Mike took the taxi from his home to airport and covered a distance
Initial fee of the ride was $ 6 which is fixed
Now with each mile he has to pay $3
Total he paid = $ 24
Now we have to find the total no of miles traveled by Mike
The tip given is 0
Now from the given we can make an equation
Initial fee + 3 * miles traveled = total Paid
Let total no of miles traveled are x
Putting all the values in the given equation
6 + 3 * x = 24
6 + 3x = 24
3x = 24-6
3x = 18
Dividing both sides by 3
x = 18 /3
x =6 miles
So the total miles traveled by him is 6 miles
let numbers be x and x+2 then
x + 5(x + 2) = 70
6x + 10 = 70
6x = 60
x = 10
The numbers are 10 and 12.
