<span>1/2x+3y/4=5 => (1/2)x + (3/4)y = 5
1/5x+3y/2=2 => (1/5)x + (3/2)y = 2
Eliminate the fractional coefficients: Mult. the first equation by 4 and mult. the second equation by 10:
2x + 15y = 20
</span><span>Multiply the 1st equation by -1:
-</span>2x - 3y = -20
2x + 15y = 20
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12y = 0, so y = 0. Then the first equation becomes 2x + 3(0) = 20, or
x=10.
Solution is (10,0).
Answer:
I answered it as C, but the correct answer is B :)
Answer:
4 feet of wall should be on each side of the painting.
Step-by-step explanation:
Given that a 4 foot wide painting should be centered on a 12 foot wide wall, to determine how many feet (X) should be on each side of the painting, the following equation must be solved:
(Total wide of the wall - wide of the painting) / 2 = X
(12 - 4) / 2 = X
8/2 = X
4 = X
Therefore, 4 feet of wall should be on each side of the painting.
Answer:
C
Step-by-step explanation:
The general rule is that any 2 must exceed the third in order for a triangle to form. If any one is an exception, it won't work.
A will form a triangle. Any 2 exceeds the third.
B also forms a triangle. Same rule.
C does not work. 7 + 11 = 18 which is the value of the third leg.
D words Any two exceeds the 3rd.
<span>The arithmetic sequences have a constant difference between two terms. This sequence does not match this criterion, look: 12-8 = 4; 8-5=3; 5-3=2. Then it is not arithmetic. Let's examine whether it is geometric. Geometric sequences have a constant ration between adjacent terms: given that 3/2 is different to 5/3, and both are different to 8/5 and so on, this sequence does not either match this requirement. Then the sequence is not arithmetic or geometric.</span>
