The winner in a vote for class president received 3/4 of the 240 votes. How many votes did the winner receive?
2 answers:
Now, to solve this, you would need to cross multiply. The equation would look like this...
= 
After cross multiplying, you would be left with the following.
4x = 720
All you would have to do now is solve for x.
= 
= 180
The answer would be, the winner for class president received 180 votes.
I hope this helps!
After cross multiplying, you would be left with the following.
4x = 720
All you would have to do now is solve for x.
The answer would be, the winner for class president received 180 votes.
I hope this helps!
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Answer:
The length of o is 24 centimeters
Step-by-step explanation:
In Δ OPQ
∵ Side p is opposite to ∠P
∵ Side q is opposite to ∠Q
∵ Side o is opposite to ∠O
→ To find side o we must use the cosine rule
∴ o =
∵ p = 38 cm
∵ q = 29 cm
∵ m∠O = 39°
→ Substitute them in the rule to find o
∴ o =
∴ o = 23.92008154
→ Round it to the nearest centimeter (whole number)
∴ o = 24 centimeters
∴ The length of o is 24 centimeters
Answer:
b. (10, -1), (-6, -9), (2, 7)
Step-by-step explanation:
One way to solve this problem is by graphing (see attachment). In fact, that actually is the easiest way to do this.
First, graph x + y < 9 (red part on the attachment). To do this, isolate the y so that it's like a regular linear equation: y < -x + 9. Graph the line y = -x + 9 first, and then choose a point either on the left or right of the line to plug in for x and y.
Let's just choose (0, 0), which is on the left of the line: 0 < -0 + 9 ⇒ 0 < 9. Since this is a true statement, we know that we should shade the left side of the equation, and not the right side.
Now, graph x - 2y < 12 (blue part on the attachment). It's the same process here as the first inequality. For this one, we find that we also shade to the "left" of the line (it's more "up" than "left", but you get the idea).
Finally, graph y < 2x + 3 (green part on the attachment). Again, it's the same process. For this, we shade to the right.
Now look at the three points that they intersect at: they are (2, 7), (-6, -9), and (10, -1). The answer is thus B.
