Answer:
(1) 820
(2) 1920
Step-by-step explanation:
(1) solving 20 x 41, using associative property.
20 * 41 = (2 x 10) x 41 = 2 x (10 x 41)
= 20 x 41 = 2 x 410
= 820 = 820
(2) distribute 32 as 30 + 2 and solve.
60 x 32
= 60 x (30 + 2) = 60(30) + 60(2)
= 1800 + 120
= 1920
Answer:
Simplifying
6n + 7 + -2n + -14 = 5n + 1
Reorder the terms:
7 + -14 + 6n + -2n = 5n + 1
Combine like terms: 7 + -14 = -7
-7 + 6n + -2n = 5n + 1
Combine like terms: 6n + -2n = 4n
-7 + 4n = 5n + 1
Reorder the terms:
-7 + 4n = 1 + 5n
Solving
-7 + 4n = 1 + 5n
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-5n' to each side of the equation.
-7 + 4n + -5n = 1 + 5n + -5n
Combine like terms: 4n + -5n = -1n
-7 + -1n = 1 + 5n + -5n
Combine like terms: 5n + -5n = 0
-7 + -1n = 1 + 0
-7 + -1n = 1
Add '7' to each side of the equation.
-7 + 7 + -1n = 1 + 7
Combine like terms: -7 + 7 = 0
0 + -1n = 1 + 7
-1n = 1 + 7
Combine like terms: 1 + 7 = 8
-1n = 8
Divide each side by '-1'.
n = -8
Simplifying
n = -8
Step-by-step explanation:
Answer:
Line a and b
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
Arithmetic expressions are best evaluated using a reliable calculator. The Google calculator always follows the Order of Operations, so can give you a good answer to such questions.
(1/4)^-2 - (5^0)(2)(1^-1)
= 16 - (1)(2)(1) . . . . evaluate the exponents first
= 16 -2 . . . . . . . . . evaluate the product next
= 14 . . . . . . . . . . . finally, evaluate the sum
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The rule of exponents is ...
a^-b = 1/(a^b)
