Answer:
x = 30
Step-by-step explanation:
in order to solve for the value of x in the expression 6 ( x − 2 ) = 8 ( x − 9 )
we will first of all open the brackets and then evaluate for the value of x by combining the like terms.
from 6 ( x − 2 ) = 8 ( x − 9 )
6x -12 = 8x -72
combine the like terms
6x - 12 + 72 = 8x
-12 + 72 = 8x -6x
60 = 2x
divide both sides by the coefficient of x which is 2
60/2 = 2x/2
30 = x
x = 30
therefore the value of x in the expression 6 ( x − 2 ) = 8 ( x − 9 ) is equals to 30
Answer:
The final angle is 50
Step-by-step explanation:
All quadrilaterals have interior angles that add up to 360. So we can subtract these numbers from 360 to get the final angle.
360 - 90 - 100 - 120 = 50
Answer:
83 due to the lack of explanation
Step-by-step explanation:
This is a system of equations problem.
L = Hours of Swim Lessons
C = Hours as Cashier
L + C = 15 This is an equation for working 15 hours total.
so
L = 15-C
6L + 8C = 100 This is an equation for making at least $100.
so
6 (15-C) + 8C = 100 *You substituted 15-C for L here
90 - 6C + 8C = 100 Distribute
90 + 2C = 100
2C = 10
C = 5 You can work 5 hours as a cashier
L + C = 15
L + 5 = 15
L = 10 You can work 10 hours teaching swimming lessons.
If you want to make EXACTLY $100 you would work 5 hours as cashier and 10 hours teaching swimming lessons.
HOWEVER, the question says AT LEAST $100 and NOT MORE than 15 hours per week. Since you make more money as a cashier, any work over 5 hours will help you make over $100.
As long as you work at least 5 hours as a cashier and any remaining hours teaching swimming lessons, you will make over $100.
5 cashier, 10 swimming
6 cashier, 9 swimming
7 cashier, 8 swimming...
Mr. Pacey
JH/HS Social Studies Teacher
(but I've also helped with Math Team for JH & HS)
<h3>Answer: The month of April</h3>
More accurately: The correct time will be shown on April 4th if it is a leapyear, or April 5th if it is a non-leapyear. It takes 60 days for the clock to realign, which is the same as saying "the clock loses 24 hours every 60 days".
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Explanation:
The following statements shown below are all equivalent to one another.
- Clock loses 1 second every 1 minute (original statement)
- Clock loses 60 seconds every 60 minutes (multiply both parts of previous statement by 60)
- Clock loses 1 minute every 1 hour (time conversion)
- Clock loses 60 minutes every 60 hours (multiply both parts of previous statement by 60)
- Clock loses 1 hour every 2.5 days (time conversion)
- Clock loses 24 hours every 60 days (multiply both parts of previous statement by 24)
Use a Day-Of-Year calendar to quickly jump ahead 60 days into the future from Feb 4th (note how Feb 4th is day 35; add 60 to this to get to the proper date in the future). On a leapyear (such as this year 2020), you should land on April 4th. On a non-leapyear, you should land on April 5th. The extra day is because we lost Feb 29th.
The actual day in April does not matter as all we care about is the month itself only. Though it's still handy to know the most accurate length of time in which the clock realigns itself.
