If he bikes for 10 miles per hour and 8 miles per hour for the same distance x miles, he went 10 miles per hour for x/10 hours, as Distance = Rate*Time and on the way back he would go for x/8 hours. So then he went 2x distance, in x/8 + x/10 hours. Since x/8 + x/10 = 10x/80 + 8x/80 = 18x/80 = 9x/40, he went 2x miles in 9x/40 hours. this can be converted into a rate with the above equation Distance = Rate*Time, so 2x=(9x/40) * Rate, thus we divide by 9x/40 on both sides to get 80x/9x = Rate, the x cancels out, and we get 80/9 Miles per hour.
Answer: (4,-4)
y=-4, x=4
Step-by-step explanation:
-4x=4y
4x-8y=12
-8y=-4x+12 Now I can substitute -4x for 4y
-8y=4y+12
-2y=y+12
-3y=12
y=-4
-4x=4y
-4x=4(-4)
x=4
Answer:
$324
Step-by-step explanation:
Two ways to look at it:
Change 25 % to a decimal
$400 x .25= $100 is the discount
$400- $100= $300
Sales Tax: change 8% to a decimal
300 x .08= $24
Total cost is $324
or you can say you are paying 75% for the camera since it is discounted 25%
So change 75% to .75
$400 x .75=$300
Sales Tax: change 8% to a decimal
300 x .08= $24
Total cost is $324
Answer:
-9x-2y-24
Step-by-step explanation:
-x-24-8x-2y
To combine like terms, the only ones you can combine would be the -x and -8x (due to both have the exponent of 'x')
-x= -1x, so -x-8x = -9x
-9x-2y-24 would be your answer since nothing else has like terms.
