Answer:
Explanation:
Translate every word sentence into an algebraic operation or expression to find and solve an equation:
1) Name the variable:
- Let x be <em>Emily's original take-home pay: </em>x
2) <em>She spends 1/6 of it on food</em> means:
- spending: 1/6 of x = (1/6)x = x/6
- remaining: x - x/6 = (6x - x) / 6 = 5x/6
3) <em>She then spends 3/5 of what remains on her house payment. </em>
- spending: 3/5 of 5x/6 = (3/5) . (5x/6) = 3x/6 = x/2
- remaining: 5x/6 - x/2 = (5x - 3x)/6 = 2x/6 = x/3
4) <em>She spends 1/3 of what is then left for her other bills. </em>
- spending: 1/3 of x/3 = (1/3) . (x/3) = x/9
- remaining: x/3 - x/9 = (3x - x)/9 = 2x/9
5) <em>Finally, she spends 1/4 of the remaining money for entertainment:</em>
- spending: 1/4 of 2x/9 = (1/4) . (2x/9) = 2x/36 = x/18
- remaining: 2x/9 - x/18= (4x - x)/18 = 3x/18 = x/6
<em>6) This activity leaves her with $150:</em>
Solve for x:
- Multiply both sides by 6: x = 900.
Answer: Her original take - home pay was $ 900
Answer:
$728
Step-by-step explanation:
The formula for simple interest is I = PRT, where I = interest earned/paid, P = principal amount deposited or borrowed, R = rate of interest as a decimal, and T = time in years.
I = PRT
I = (4000)(0.052)(3.5)
I = 728
Answer:
5
Step-by-step explanation:
Answer:9/16 equals to 0.5625 so it terminates.
16 doesn't go into 9 so 0. Add a zero so 16 goes into 90 5 times and it equals to 80 so subtract 80 from 90 which equals 10. Add another zero since 16 cant go into ten and 16 goes into 100 6 times and it equals to 96 so 100-96 equals 4. Sixteen cant go into 4 so add a zero which makes it 40. 16 goes into 40 2 times and it equals to 32 so 40-32=8. Add a zero to the eight and 16 goes into 80 5 times and etc etc.
Answer:
B
Step-by-step explanation:
bexauae I did the quiz
