85, 87, and 89 are the integers
Answer:
108 - 30x - 116x² - 18x³
Step-by-step explanation:
We have to get the value of - (2x + 12) (9x² + 4x - 9)
Now, using the distributive property of multiplication we get
- (2x + 12) (9x² + 4x - 9)
= -[2x (9x² + 4x - 9) + 12 (9x² + 4x - 9)]
= -[(18x³ + 8x² - 18x) + (108x² + 48x - 108)]
= -[18x³ + 116x² + 30x - 108]
= 108 - 30x - 116x² - 18x³ (Answer)
Answer:
The straight time pay for $ 7.60 per hour and 40 work hours per week is $ 304.
Step-by-step explanation:
Let suppose that worker is suppose to work 8 hours per day, so that he must work 5 days weekly. The straight time is the suppose work time in a week, the pay is obtained after multiplying the hourly rate by the amount of hours per week. That is:
The straight time pay for $ 7.60 per hour and 40 work hours per week is $ 304.
Answer:
Ben received: £140
Step-by-step explanation:
Total amount = £240
Given ratio: 5:7
It means £240 is divided into 12 parts
So 1 part will be equal to: £240/12
1 part = £20
Now given ratio is:
5:7
Multiplying each share with £20
5*(£20) : 7* (£20)
£100: £140
So according to ratio amounts:
Alex received: £100
Ben received: £140
I hope it will help you!
Answer:
x = 10
Step-by-step explanation:
2x/3 + 1 = 7x/15 + 3
<em><u>(times everything in the equation by 3 to get rid of the first fraction)</u></em>
2x + 3 = 21x/15 + 9
<em><u>(times everything in the equation by 15 to get rid of the second fraction)</u></em>
30x+ 45 = 21x + 135
<em><u>(subtract 21x from 30x; subtract 45 from 135)</u></em>
9x = 90
<em><u>(divide 90 by 9)</u></em>
x = 10
<h2>
Another solution:</h2>
2x/3 + 1 = 7x/15 + 3
<u><em>(find the LCM of 3 and 15 = 15)</em></u>
<u><em>(multiply everything in the equation by 15, then simplify)</em></u>
10x + 15 = 7x + 45
<u><em>(subtract 7x from 10x; subtract 15 from 45)</em></u>
3x = 30
<em><u>(divide 30 by 3)</u></em>
x = 10
