Answer:
S = 1.25
B = 3.50
Step-by-step explanation:
I assume you need to know how much a burger and how much a soda is.
Basically it's a system of equations.
5B + 9S = 28.75
10B + 10S = 47.5
There are a few ways to do this, if you like I can show another, but this is how I usually solve a normal system of equations.
First solve for one variable in one equation. I am going to choose to solve for B in 10B + 10S = 47.5
10B + 10S = 47.5 (divide the whole thing by 10)
B + S = 4.75 (subtract S from both sides)
B = 4.75 - S
Now plug this B into the other equation.
5B + 9S = 28.75
5(4.75 - S) + 9S = 28.75
23.75 - 5S + 9S = 28.75 (Now just solve for S
4S = 5
S = 5/4
S = 1.25
Now plug THIS back into the first one.
B = 4.75 - S
B = 4.75 - 1.25
B = 3.50
.2065217391 is the answer
Answer:
Salary of President = $180,000
Salary of Dept. Head = $60,000
Step-by-step explanation:
The question is to find the salary of president and department head.
We let the salary of one of department heads be "x"
Since, the salary of president is THREE (3) TIMES a department head, we can say:
Salary of President = 3x
Now, we know the total of these 2 salaries is 240,000. Thus, we can write:
Salary of President + Salary of Dept. Head = 240,000
3x + x = 240,000
Now, we can solve for x:
And now the president is "3x", so his salary is:
3(60,000) = 180,000
Thus,
President's salary = 180,000
Dept head's salary = 60,000
Step-by-step explanation:
make the equation into y=mx+c
y = 0.5x - 2 + 5
y = 0.5x + 3
therefore, slope = 0.5 and y intercept (sub x = 0 or find the value of constant term) = 3
The order of operations, is PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction) so you should always follow that order when you're solving equations like this one, but when it comes to multiplication and division, it just depends on whichever one comes first, and the same is true for addition and subtraction. So since there aren't any parentheses or exponents here, we will start with multiplication or division...it just depends on which one comes first in the equation. 15 ÷ 3 is first so we start with that: 15 ÷ 3 = 5:
5 + 6 x 2 - 10 = ? Now we move onto the next multiplication or division problem we see until there are no more left. 6 x 2 is the next and last one:
6 x 2 = 12 5 + 12 - 10 = ? Now we move on to addition and subtraction, and again, whatever comes first is what we do first:
5 + 12 = 17 17 - 10 = ? Last but not least: 17 - 10 = 7
So your answer is 7! Hope this was helpful!
