Answer:
461 adults and 864 students
Step-by-step explanation:
We can set-up a system of equations to find the number of adults. We know students and adults attended. We will let s be the number of students and a be the number of adults. Since 1,325 tickets were purchased, then s+a=1325.
We also know that a total of $3,169 was collected and adult tickets cost $5 each and students cost $1 each. We can write 1s+5a=3169.
We will solve by substituting one equation into the other. We first solve the first equation for s which is s=1325-a. Substitute s=1325-a into 1s+5a=3169. Simplify and isolate the variable a.
1(1325-a)+5a=3169
1325-a+5a=3169
1325+4a=3169
1325-1325+4a=3169-1325
4a=1844
a=461
This means that 461 adults attended and 864 students attended since 864+461=1325.
(-4) to the power of 4 is equal to 256
Answer:
31.5%
Step-by-step explanation:
If 70% of customers get an oil change, and 45% of those get their tires rotated, then this is a method I use to find the answers to these types of problems.
70% of customers, 45% of 70
One method that will help you so much is this simple equation: x% of y= y% of x. For example, if you need to find 3% of 50, the same value is given for 50% of 3, which would be 1.5. Using our given digits,45% of 70 is the same as 70% of 45.
A method that can add on to this is one I've come up with myself. If you divide your original number by 100, then multiply it by your given percentage, it will give you your wanted value, so if you plug in your values, 70/100, multiplied by 45, will equal 31.5%.
Answer:
x=8
Step-by-step explanation:
xyz=256
x=y=2z
Replace y with x and z with x/2
x * (x) *(x/2) =256
x^3 /2 = 256
x^3 = 512
Take the cubed root of each side
(x^3) ^(1/3) = (512) ^ (1/3)
x=8