The answer has to rationally be 14, because it is a longer side than the other which is 7 times the square root of 2 and 7 times square root of 3 and it cannot be 7 because that is less than the results of both the other options that are incorrect. Fourteen is the highest option, and the angle opposite the right angle must be the hypotenuse, which means the longest side of the triangle. Therefore, 14 is the answer.
159 children and 351 adults swam at the public pool that day.
Step-by-step explanation:
Total people = 510
Total receipts worth = $1116.00
Cost for one child = $1.50
Cost for one adult = $2.50
Let,
x be the number of children.
y be the number of adults.
According to given statement;
x+y=510 Eqn 1
1.50x+2.50y=1116.00 Eqn 2
Multiplying Eqn 1 by 1.50
Subtracting Eqn 3 from Eqn 2;
Putting y=351 in Eqn 1
159 children and 351 adults swam at the public pool that day.
Keywords: linear equations, subtraction
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Answer:
The integer values of x are 5 and 6
Step-by-step explanation:
we have
Inequality A
solve for x
adds 2 both sides
divide by 4 both sides
solution A is the interval (4.75,∞)
Inequality B
solve for x
subtract 5 both sides
divide by 3 both sides
solution B is the interval (-∞,6.33)
The solution of the inequality A and the inequality B is
(4.75,∞) ∩ (-∞,6.33)=(4.75,6.33)
The integer values of x are 5 and 6