Answer:
w=-13/4
w=2
Step-by-step explanation:
|8w+5|=21
Step by step solution :
STEP
1
:
Rearrange this Absolute Value Equation
Absolute value equalitiy entered
|8w+5| = 21
STEP
2
:
Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |8w+5|
For the Negative case we'll use -(8w+5)
For the Positive case we'll use (8w+5)
STEP
3
:
Solve the Negative Case
-(8w+5) = 21
Multiply
-8w-5 = 21
Rearrange and Add up
-8w = 26
Divide both sides by 8
-w = (13/4)
Multiply both sides by (-1)
w = -(13/4)
Which is the solution for the Negative Case
STEP
4
:
Solve the Positive Case
(8w+5) = 21
Rearrange and Add up
8w = 16
Divide both sides by 8
w = 2
Which is the solution for the Positive Case
STEP
5
:
Wrap up the solution
w=-13/4
w=2
Answer:
100,000
Step-by-step explanation:
Investment ratio = 3 : 2
Rate = 5% and 4% simple interest
Total interest after 2 years = 9200
Let total investment = t
(3/5t * 0.05 * 2) + (2/5t * 0.04 * 2) = 9200
3/5t * 0.1 + 2/5t * 0.08 = 9200
0.06t + 0.032t = 9200
0.092t = 9200
t = 9200 / 0.092
t = 100,000
You have to find how many times 40 (the denominator) goes into 120 (attempts). That's 3, so you take the numerator (17) and multiply it by that same number. And 17 times 3 is 51.
The answer is (4x11)-7 i believe
Answer:
28/32 and 26/32
Step-by-step explanation:
A common denominator of 8 and 16 is 32.
7/8 = (7 * 4)/(8 * 4) = 28/32
13/16 = (13 * 2)/(16 * 2) = 26/32
Two equivalent fractions with a common denominator are 28/32 and 26/32.