First you make -1 and 3/4 have a common denominator. 1 has a fraction of 1/1 so times four it is 4/4. Then you add on both sides in order to isolate x and you get 3/10x = 7/4.
Then you isolate x by multyiplying the reciprocal of 3/10 on both sides, 10/3.
3/10 and 10/3 cancel out and you get an answer of x = 70/4.
You could then simplify it to get 35/6 by finding a greasted common multiple of 12 and 70 which is 2 and dividing both by 2 to get a simpilier answer.
So the answer is x = 35/6
Answer:
Step-by-step explanation:
Given
<em>See attachment</em>
Required
Determine the area of K
First, we need to calculate the length of the rectangle J
This gives:
Divide both sides by 22
So, the length of the rectangle J is 20.
Since both shapes are similar, then:
Substitute the known values:
Express as fraction:
Make Length, the subject of formula
The area of K is:
Step-by-step explanation:
= (x - 3)(2x² - 5x + 1)
= 2x³ - 5x² + x - 6x² + 15x - 3
= 2x³ + (-5 - 6)x² + (1 + 15)x - 3
= 2x³ - 11x² + 16x - 3
Option → C
Answer:
$82.57
Step-by-step explanation:
The tip they leave is ...
$78.64 × 0.20 = $15.73
The amount of the discount is ...
$78.64 × 0.15 = $11.80
Then the total cost of the meal and tip is ...
meal price - discount + tip
$78.64 -11.80 +15.73 = $82.57
