The answer is 9
12 ounces x
--------------- = ----------------
10 pounds of soil 120 pounds of soil
Set the equation up as a proportion and solve for x:
10x = 1440
---- -----
10 10
x = 144 ounces
The question asks for the answer in pounds, and 16 ounces = 1 pound.
144/16 = 9
Asa has 15 dimes and 32 quarters.
Step-by-step explanation:
Given,
Total coins = 47
Worth of coins = $9.50 = 9.50*100 = 950 cents
1 dime = 10 cents
1 quarter = 25 cents
Let,
Number of dimes = x
Number of quarters = y
According to given statement;
x+y=47 Eqn 1
10x+25y=950 Eqn 2
Multiplying Eqn 1 by 10
Subtracting Eqn 3 from Eqn 2
Dividing both sides by 15
Putting y=32 in Eqn 1
Asa has 15 dimes and 32 quarters.
Keywords: linear equation, elimination method
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Answer:
(7 x - 1) (x + 1)
Step-by-step explanation:
Factor the following:
7 x^2 + 6 x - 1
Factor the quadratic 7 x^2 + 6 x - 1. The coefficient of x^2 is 7 and the constant term is -1. The product of 7 and -1 is -7. The factors of -7 which sum to 6 are -1 and 7. So 7 x^2 + 6 x - 1 = 7 x^2 + 7 x - x - 1 = (7 x - 1) + x (7 x - 1):
(7 x - 1) + x (7 x - 1)
Factor 7 x - 1 from (7 x - 1) + x (7 x - 1):
Answer: (7 x - 1) (x + 1)
<span>Work out the Mean (the simple average of the numbers)Then for each number: subtract the Mean and square the result.Then work out the mean of those squared differences.<span>Take the square root of that and we are done!</span></span>
Since they share the same angle measurement, and 4 is smaller than 158 degrees, you subtract 158 from 180 and angle 4 = 22 degrees
