Answer: 94 child tickets
<u>Step-by-step explanation:</u>
Let x represent child tickets
Let y represent adult tickets
Cost Equation: 5.70x + 9.75y = 1306.10
Quantity Equation: x + y = 173
Solve the system of equations using the elimination method:
Multiply the Quantity Equation by -5.70
5.70x + 9.75y = 1306.10
<u> -5.70x - 5.70y</u> = <u>-986.10</u>
4.05y = 320.00
<u> ÷4.05 </u> <u>÷4.05 </u>
y = 79
x + y = 173
x + 79 = 173
x = 94
Answer:
x = 10.6
Step-by-step explanation:
5x - 11 = 42
first +11 so,
5x = 53
then ÷5
x = 10.6
Answer:
Yes, you can find the cube root of a negative number. The answer will be negative!
Step-by-step explanation:
Example: Find the cube root of -27
We know that a cube root is a number multiplied by itself 3 times (NOT MEANING THE NUMBER TIMES 3)
For example, The cube root of 27 positive is 3 because 3 x 3 x 3 = 27
But if we are using a negative number: It is really different because we got to know the rules.
The setup: -3 x -3 x -3 = -27
If we started with -3 x -3 first we know that a negative times a negative equals positive so the answer will be 9 positive, then we have this equation left:
9 x -3 = -27
The rule with this is a number times a negative is negative, so the answer of the question "Find the cube root of -27 is -3"
Answer:
15 gallons of paint
Step-by-step explanation:
5 x 3 = 15
equal groups !
Answer:
9, 32 and 36
Step-by-step explanation:
The perimeter of a triangle is the sum of all the sides. Since you know the perimeter and the expressions for each of the sides, you can set up an equation to solve for the variable and find the values of the other sides:
one side: '4 times the shortest side' = 4s
shortest side: 's'
third side: '23 more than the shortest side' = s + 23
perimeter = 77
Equation: 4s + s + (s + 23) = 77
Combine like terms: 6s + 23 = 77
Subtract 23 from both sides: 6s + 23 - 23 = 77 - 23 or 6s = 54
Divide by 6: 6s/6 = 54/6 or s = 9
one side: 4s = 4(9) = 36
shortest side: s = 9
third side: s + 23 = 9 + 23 = 32