Answer:
24
Step-by-step explanation:
A is 4 times that of B ie
A = 4B (1)
A is also 3 times that of C ie
A = 3C (2)
From equation 1,
B = A/4
From equation 2,
C = A/3
But the there are 38 sweets in the 3 boxes i.e
A + B + C = 38
A + A/4 + A/3 = 38
Multiply through by 12 to express in linear form
12A + 3A + 4A = 456
19A = 456
Dive both side by 19
A = 456/19
A = 24
Remember to follow PEMDAS, and left -> right rule.
First, solve the Parenthesis:
(4 + 2^3)
Solve the exponent.
2^3 = 2 x 2 x 2 = 4 x 2 = 8
4 + 8 = 12
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(5^2) x (12)
5^2 = 5 x 5 = 25
25 x 12
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Multiply
25 x 12 = 300
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300 is your answer
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<em>~Rise Above the Ordinary</em>
Answer:
The pair of lines in (c) are parallel; so are the pair in (d).
Step-by-step explanation:
Rule: Two lines are parallel if their slopes are equal. If the slopes of two different lines are equal, then the lines are parallel.
Let's look at these four possible answer choices with that in mind:
a) the slopes are not equal; they are negative reciprocals. These lines are not parallel.
b) The slopes are not equal; one is positive and one is negative. These lines are not parallel.
c) Both of these lines have the slope 4; that is, their slopes are equal. Therefore these two lines are parallel.
d) y = 9 and y = 18 are both horizontal lines, and are therefore parallel. 9 and 18 do not represent slopes; rather, they represent y-intercepts.