9514 1404 393
Answer:
x = 1 or 5
Step-by-step explanation:
The notion of "cross-multiplying" is the idea that the numerator on the left is multiplied by the denominator on the right, and the numerator on the right is multiplied by the denominator on the left. This looks like ...
Then the solution proceeds by eliminating parentheses, and solving the resulting quadratic equation.
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<em>Comment on "cross multiply"</em>
Like a lot of instructions in Algebra courses, the idea of "cross multiply" describes <em>what the result looks like</em>. It doesn't adequately describe how you get there. The <em>one and only rule</em> in solving Algebra problems is "<em>whatever is done to one side of the equation must also be done to the other side of the equation</em>." If you multiply one side by one thing and the other side by a different thing, you are violating this rule.
What looks like "cross multiply" is really "<em>multiply by the product of the denominators</em> and cancel like terms from numerator and denominator." Here's what that looks like with the intermediate steps added.
Answer:
1197.9
Step-by-step explanation:
10 percent of 1331 is 133.1.
because its 10 percent more, you need to do 1331-133.1:)
Answer:
true
Step-by-step explanation:
sinA² + cosA²=1
⇔(1/2)² + cosA²=1
⇔cosA=±(√3/2)
Answer:
12
Step-by-step explanation:
By analyzing the terms in your set, we can see that each integer is increasing by three.
Following this pattern, our answer should be 9 + 3, because 9 is the most recent and closest term in the sequence.
-3, 0, 3, 6, 9, 12 is our completed sequence. Of course, it will keep on going for infinity.
But you asked for the next term, so the answer is 12.
Answer:
The profit = $(3x - 75) where x = number of t-shirts sold
Step-by-step explanation:
School spirit club wants to raise money by selling t-shirts. one local company charges a fixed fee of $75 for creating the design and $5 for each shirt that they print.
We have to find the club's income if they sell each t-shirt for $8.
Let the number of t-shirts that the club sell be equal to x.
So the cost of making x t-shirts = 75 + 5x
If the club sells x t-shirts , then the money they earn = 8x
Profit = selling price - cost price
= 8x - (75 + 5x)
= $(3x - 75)
The club also needs to sell at least 25 t-shirts to make a profit and from then on makes a profit of $3 on each t-shirt they sell.
