10q - 20 is equivalent to _____.
2(q - 10)
10(q - 20)
10(q - 2)
10q-20 when common factored (which is you bring the biggest number that goes into both pieces out to the front)
= 10(q - 2)
You can do a check to see if your answer is right when you multiply the 10 back into the brackets
check: 10(q) - 2(10)
= 10q - 20
Let m = Mondays book sales
Tuesday was twice as many... 2m
and Wednesday was 6 less (so minus 6) then Tuesday
Sales = Monday + Tuesday + Wednesday
Sales = m + 2m + 2m-6
Sales totalled 19
19 = m + 2m + 2m - 6
Rachel works at a bookstore. On Tuesday, she sold twice as many books as she did on Monday. On Wednesday, she sold 6 fewer books than she did on Tuesday. During the three days, Rachel sold 19 books. Create an equation that can be used to find m, the number of books Rachel sold on Monday.
To determine which expression is equivalent to 10q - 20, we can simplify each expression to see which one matches the original expression.
Let's start with the expression 2(q - 10):
To simplify 2(q - 10), we use the distributive property, which states that a(b + c) is equal to ab + ac.
So, applying the distributive property:
2(q - 10) = 2 * q + 2 * (-10) = 2q - 20
Next, let's look at the expression 10(q - 20):
To simplify 10(q - 20), we again use the distributive property:
10(q - 20) = 10 * q + 10 * (-20) = 10q - 200
Finally, let's consider the expression 10(q - 2):
To simplify 10(q - 2), we once again apply the distributive property:
10(q - 2) = 10 * q + 10 * (-2) = 10q - 20
Comparing the simplified expressions to the original expression, we can see that 10q - 20 is equivalent to both 10(q - 2) and 2(q - 10). However, it is not equivalent to 10(q - 20), which simplifies to 10q - 200.
So, the correct answer is:
10q - 20 is equivalent to 10(q - 2) and 2(q - 10).