−
4
x
+
7
=
2
Step 1: Subtract 7 from both sides.
−
4
x
+
7
−
7
=
2
−
7
−
4
x
=
−
5
Step 2: Divide both sides by -4.
−
4
x
−
4
=
−
5
−
4
x
=
5
4
Answer:18 outcomes
Step-by-step explanation:
There are 18 outcomes on this scenario card. Students can list all of the outcomes or describe them. Here is the list
(the first number is the outcome from Spinner 1, and the second number is the outcome from Spinner 2).
We are told donut sales is described by an arithmetic sequence of 6 terms whose sum is 150 and common difference is 6. If we split this sequence into two groups of 3 terms, the sum of the first group will differ from the sum of the second group by
(number of terms)²×(common difference) = 3²×6 = 54
Then if x represents the number of donuts sold in the first 3 hours, the total number of donuts sold is
x + (x + 54) = 150
2x = 150 - 54
x = 96/2 = 48
The number of donuts sold in the first three hours is 48.
