Answer:
ab
Step-by-step explanation:
When all of the variables are the same in a problem, think of them as the same term. They can be added and subtracted just as you would add and subtract normal numbers.
For example if I have 5 bananas on a table and take away 3 bananas. I only have two bananas left (2b). It's the same when there are variables!
Subtract 9 from 3:
-6ab+7ab
Add -6 to 7:
ab
Your final answer is ab!
Answer: the small bottle holds 15 ounces while the large bottle holds 23 ounces.
Step-by-step explanation:
Let x represent the number of ounces that a small bottle holds.
Let y represent the number of ounces that a large bottle holds.
He drank 2 small bottles and 2 large bottles, for a total of 76 ounces. It means that
2x + 2y = 76 - - - - - - - - - - - - 1
The day before, he drank 4 small bottles and 1 large bottle, for a total of 83 ounces. This means that
4x + y = 83 - - - - - - - - - - - - -2
Multiplying equation 1 by 2 and equation 2 by 1, it becomes
4x + 4y = 152
4x + y = 83
Subtracting, it becomes
3y = 69
y = 69/3 = 23 ounces
Substituting y = 23 into equation 1, it becomes
2x + 2 × 23 = 76
2x + 46 = 76
2x = 76 - 46 = 30
x = 30/2 = 15 ounces
Answer:
D
Step-by-step explanation:
I usually use a z-score table, but you can do this with a calculator.
If we go to a z-score table, we first look up the first two digits (in this case, 2.8) in the far left column. Then we find the hundredths digit in the top row (0.07). Where they intersect is P(z < 2.87).
P(z < 2.87) = 0.9979
Answer D.
Answer:
5
Step-by-step explanation:
3+5+7+8+9+4+2+1+3+8=50
50/10=5
Use the slope formula y2-y1/x2-x1
3-(-7)/1-(-1) = 10/2 = 5
To find the y-intercept:
y=5x+b
3=5(1)+b
3 = 5+b
-5 -5
-2=b
The equation of the line that passes through (-1,-7) and (1,3) is
y=5x-2
