Answer:
1 2/21
Step-by-step explanation:
We start out with:
3/7 + 2/3
In order to add them together, they must have an equal denominator. An easy way to find an equal denominator is the cross method. We divide 7 by 3 and 3 by 7, giving us a denominator of 21:
3/21 + 2/21
But what about the numerators? You do the same thing as before (multiplying by the other's denominator). Now we have:
9/21 + 14/21
We add both together (the denominator stays the same) and we get 23. 23/21 is correct but not in simplest form. We remove 21 from the numerator (because it is a whole) and finally get:
1 2/21!
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The correct answer is D.D. 8a^4b^3 + 6a^3b^5 - 2a^3b^4
You can tell this by the lead term alone. When you mutliply the term outside to the lead term, D is the only one that has that term.
2a^2b^3*4a^2 = 8a^4b^3
D. 8a^4b^3 + 6a^3b^5 - 2a^3b^4
Answer:
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
In which m is the slope, and b is the y-intercept(value of y when x = 0).
In this question:
We have that when 
. So the line is given by:
Finding the slope:
We have two points in the line, which are (-3,-3) and (3,-1). The slope is given by the change in y divided by the change in x. So
Change in y: -1 - (-3) = -1 + 3 = 2
Change in x: 3 - (-3) = 3 + 3 = 6
Slope: 
Solution to the inequality:
The solution to this inequality is all the points above the dashed line, which means that the dashed line is not part of the solution. So
Answer:
3 milkshakes and 3 sundaes
Step-by-step explanation:
3 * 5 = $15 + 3 * 2 = $21
Answer:
2 x 2 x 2 x 3
Step-by-step explanation:
Find two numbers that multiply together to form 24:
2 x 12 = 24
Find two numbers that multiply together to form 12, a factor of 24. Replace 12 with these numbers:
2 x (2 x 6) = 2 x 12 = 24
Find two numbers that multiply together to form 6, a factor of 12. Replace 6 with these numbers:
2 x (2 x (2 x 3)) = 2 x (2x6) = 2 x 12 = 24
Two and three cannot be factored any further, therefore the prime factors of 24 are 2, 2, 2, and 3.
