To find the rate at which the lawn sprinkler would fill the pool if used alone, subtract the rate of the hose from the combined rate. The equation is rs = 1/5 - 1/8.
To determine the rate at which the lawn sprinkler would fill the pool if used alone, we can set up an equation using the concept of rates. Let r be the rate at which the sprinkler fills the pool. If it takes 8 minutes for Byron to fill the pool with just the hose, then the rate of the hose alone is 1 pool/8 minutes, or rh = 1/8. If it takes 5 minutes to fill the pool when both the hose and sprinkler are used together, then the combined rate is 1 pool/5 minutes, or rc = 1/5.
The rate of the sprinkler alone, rs, can be determined by subtracting the rate of the hose from the combined rate. Thus, we have rs = rc - rh. Substituting the given values, we have rs = 1/5 - 1/8.
Therefore, the equation that can be used to determine the rate at which the lawn sprinkler would fill the pool if used alone is rs = 1/5 - 1/8.
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7 x 3/4
The equivalent value of the expression is A = 21/4
Given data:
The first number is represented as a = 7
The second fraction is represented as b = 3/4
So, the equation is A = ab
And, A = 7 x 3/4
So, 7 multiplied by 3/4 equals 21/4.
However, to express the answer in its simplest form, we can simplify the fraction by dividing both the numerator and denominator by their greatest common factor.
The greatest common factor of 21 and 4 is 1, so we divide both numerator and denominator by 1.
Hence, the simplest form of the equation is A = 21/4
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Answer: -h
Step-by-step explanation:
If h is a negative number, h would be -h.
For example, if h had a value of 1, 1 as a negative number would be -1.
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Answer:
The solution of the given inequality is:
Step-by-step explanation:
Given the inequality equation:
Subtraction property of equality states that you subtract the same number to both sides of an equation.
Subtract 8 to both sides of an equation.
Simplify:
Division property of equality states that you divide the same number to both sides of an equation.
Divide both sides by 3 we get;
Simplify:
therefore, the solution of the given inequality is: or