if Timothy uses 20 inches of yarn for knitting yard every 5 minutes, then we can divide the total time in this time so in 1 hour are 60 minutues so:
Then he has to use:
Answer:
$600 is the sales price
Step-by-step explanation:
First, multiply the original price with the numerator
900 x 2 = 1800
Next, divide the number gotten by 3
1800/3 = 600
$600 is your answer
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Answer: x = {-4, 5}
<u>Step-by-step explanation:</u>
log (10x + 200) = log (x²) + log (10)
log (10x + 200) = log (10x²)
10x + 200 = 10x²
0 = 10x² - 10x - 200
0 = x² - x - 20
0 = (x - 5)(x + 4)
0 = x - 5 0 = x + 4
x = 5 x = -4
Check for extraneous solutions:
10x + 200 > 0 x² > 0
x = 5 10(5) + 200 > 0 (5)² > 0 both are satisfied
x = -4 10(-4) + 200 > 0 (-4)² > 0 both are satisfied
Both solutions are valid!
Answer:
11
Step-by-step explanation:
you are subtracting a negative number, therefore you are adding the number
Answer: -2x + 5y = 8
Step-by-step explanation:
Since the lines must be parallel, the slopes must be the same, so keep the coefficients of x and y
Substitute the values of x and y from the given coordinate (6,4) to find the new constant, b, the y-intercept.
-2x + 5y = b
-2(6) + 5(4) = b
-12 + 20 = b
8 = b
Rewrite the original equation substituting the new b for the original -15
-2x + 5y = 8
