Answer:
92/3
Step-by-step explanation:
PEMDAS
(Parentheses Exponents Multiplication Division Addition Subtraction)
No Parentheses
No Exponents
Multiplication:
1+ 2 +3+ 40 ÷3+ 16/3 +1+1+4
Division:
1+2+3+ 40/3 +16/3+1+1+4
Addition:
12 + 56/3 = 92/3
No Subtraction
**Assuming "/" indicates a fraction and "÷" indicates division (2/3 × 8 is different than 2 ÷ 3 × 8)
Let
x------> hours worked by Sara last week
y------> hours worked by Joan last week
z------> hours worked by Erin last week
we know that
x=28 hours ------> equation 1
y=x-6-----> equation 2
substitute the value of x in equation 2
y=28-6=22 hours
z=y/2------> equation 3
substitute the value of y in the equation 3
z=22/2=11 hours
<u>the answer is</u>
Sara worked 28 hours last week
Joan worked 22 hours last week
Erin worked 11 hours last week
Answer: (B) <em>top right graph</em>
<u>Step-by-step explanation:</u>
First, determine what the coordinates are between x = -3 and x = 3. <em>Remember, that a step function has a closed dot at the coordinate.</em>
The only graph that satisfies these coordinates is the top-right graph.
The <em>correct answers</em> are:
Top circle: 34
Bottom left: 9
Bottom right: 21
Explanation:
Let the top circle be x, let the bottom left circle be y, and the bottom right circle be z.
Following the diagram, we have the following equaitons:
x+y = 43
y+z = 30
x+z = 55
Taking the first two equations as a system, we will eliminate y:
We will subtract the bottom equation from the top:
We will now take this and the last equation as a system; this time, we will eliminate z by adding the two equations:
Divide each side by 2:
2x/2 = 68/2
x = 34
Substitute this into the first equation:
x+y = 43
34+y = 43
Subtract 34 from each side:
34+y-34 = 43-34
y = 9
Substitute this into the second equation:
y+z = 30
9+z = 30
Subtract 9 from each side:
9+z-9 = 30-9
z = 21