1/3 of 12,000 ballots were thrown out.
1/3 * 12,000 = 12,000/3 = 4,000
4,000 ballots were thrown out.
12,000 - 4,000 = 8,000
There were 8,000 ballots left.
1/4 of 8,000 ballots are for candidate A.
1/4 * 8,000 = 8,000/4 = 2,000
Candidate A received 2,000 votes.
8,000 - 2,000 = 6,000
Candidate B received 6,000 votes.
<h3>Answer: QS is 37 units long</h3>
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Explanation:
PN = 24 and NR = 14 are pieces of the chord PR. The two pieces multiply to some value. At the same time, the other two pieces QN = 21 and NS = 2x-4 also multiply to that same value. In short, the chord pieces multiply to the same number. This is known as the intersecting chord theorem.
PN*NR = QN*NS
24*14 = 21*(2x-4)
336 = 42x-84
336+84 = 42x-84+84 .... add 84 to both sides
420 = 42x
42x = 420
42x/42 = 420/42 ...... divide both sides by 42
x = 10
We know that x = 10 so we can use it to find the length of NS
NS = 2x-4
NS = 2*10-4
NS = 20-4
NS = 16
Therefore,
QS = QN + NS
QS = 21 + 16
QS = 37
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note: as a check,
PN*NR = QN*NS
24*14 = 21*16
336 = 336
we get a true equation, so we have the proper values
Answer:
Alex will need 14 bags
Step-by-step explanation:
B= 4(2x+7)+3(2x+7)
and
2x+7=2
First, we should solve the second equation to obtain x:
2x+7=2
2x=2-7
x= -5/2
Then, we use this answer to calculate B:
B=4(2(-5/2)+7)+3(2)
B=4(-5+7)+6
B=4(2)+6
B=8+6
B=14
Alex will need 14 bags
Answer: 0.364
The reason that it would be 0.364 is because the thousandths place is the third decimal place, which would leave you with a 3 but since there is a 6 after the 3, the 3 would be rounded up to a 4.
The zeroes of the given polynomial is 1 and -6.
<h3>What is Polynomials?</h3>
A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Here, given equation;
f(x) = (x - 1)(x + 6)
for finding the zeros of the equation we need to put.....f(x) = 0
0 = (x - 1)(x + 6)
x - 1 = 0 or x + 6 = 0
x = 1 or x = -6
Thus, The zeroes of the given polynomial is 1 and -6.
Learn more about Polynomials from:
brainly.com/question/17822016
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