Answer: The number is 15
Step-by-step explanation: basically the equation you should solve is
(x)+(2x)+(2x+7)=82
5x+7=82
5x= -7+82
5x=75
5/5x=75/5
x=15
Answer:
not direct variation
Step-by-step explanation:
The equation for x and y in direct variation is
y = kx ← k is the constant of variation
y = 
is not in this form, thus not direct variation.
The equation for x and y varying inversely is
y = 
← k is the constant of variation
y = is in this form and represents inverse variation
Answer:
The equivalent expression is;
Step-by-step explanation:
The given expression is:
Recall that:
In our case, 
and 
.
We use this property of exponent to obtain;
Answer:
The domain of this function is first restricted to all non negative integers because the theater can sell only a whole number of tickets.
The domain is restricted to numbers less than or equal to 125 because the theater cannot sell more tickets than capacity.
Step-by-step explanation:
Prime factorization is a way of showing which prime numbers (numbers that can only be divided by one and itself) can go into a number. For instance, the prime factorization of 4 would be 2 x 2. Two can only be divided by one and itself, so it is a prime number, and 2 x 2 = 4. For larger numbers, divide by a prime number until the number that is being divided is a prime number. Each divisor will be used as part of the prime factorization. The final dividend will also be used. Add the dividend, order each divisor from least to greatest, and then you're done. Therefore, the prime factorization of 40 would be 2 x 2 x 2 x 5.
