Step-by-step explanation:
A term is a number, a variable, or a constant multiplied by a variable or variables.
Like terms are terms that contain the same variables raised to the same power. Only the numerical coefficients are different.
A coefficient is a multiplicative factor in some term of a polynomial (expression).
Constant is a term in the algebraic expression that contain only number.
n + 5n = n + 5n + 0
terms: n, 5n
like terms: n, 5n
coefficients: 1, 5
constant: 0
simplified form: n + 5n = 6n
term: 6n
coefficient: 6
constant: 0
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12c - c = 12c - c + 0
terms: 12c, -c
like terms: 12c, -c
coefficients: 12, -1
constant: 0
simplified form: 12c - c = 11c
term: 11c
coefficient: 11
constant: 0
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-4j - 1 - 4j + 6
terms: -4j, -1, -4j, 6
like terms: -4j, -4j and -1, 6
coefficients: -4, -4
constants: -1, 6
simplified form: -4j - 1 - 4j + 6 = (-4j - 4j) + (-1 + 6) = -8j + 5
term: -8j, 5
coefficient: -8
constant: 5
Answer:
12
Step-by-step explanation:
32m-27m=60
5m=60
divide both sides by 5
m=12
Answer:
1/5
Step-by-step explanation:
That little weird backwards E covers all the elements within the box in the diagram. There are x(x - 2) paintings from the 20th century, 2x + 8 British paintings, x paintings that are both British and come from the 29th century, and 10 that are neither of these. These should all add up to 60:
x(x - 2) + (2x + 8) + x + 10 = 60
x² - 2x + 3x + 18 = 60
x² + x - 42 = 0
(x + 7)(x - 6) = 0
x = -7 or x = 6
Obviously, we can’t have a negative number of paintings, so x = 6.
Out of the paintings, we choose one that is from the 20th century, and there are:
x + x(x - 2) = 6 + 6 * (6 - 2) = 6 + 24 = 30 paintings from the 20th century
x of these are also British, so since x = 6, the probability we’re looking for is:
6/30 = 1/5
The answer is 1/5.
Answer:
4
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