Answer:
x = 20
Step-by-step explanation:
→ Remember how many degrees are on a straight line
180°
→ Set up an equation
2x + 70 + 3x + 10 = 180
→ Simplify
5x + 80 = 180
→ Minus 80 from both sides
5x = 100
→ Divide both sides by 5
x = 20
Answer:
The are 5 marbles
Step-by-step explanation:
51/85 = 3/5 As a result, there are 51 red and 85 green marbles.
The smallest possible value of z is the denominator of the reduced fraction x/y. We note the prime factors of the members of set y are
... 2², 7, 2³, 3²
so if there are any even members of set x, the fraction can be reduced to something divided by 2. The number 6 in set x is even, so we have
... 6z/4 = 6·2/4 = 3 (an integer) when z=2
The lowest possible value of z is ...
... B) 2
Answer: (7n - 2)² = 249
Explanation:
1) Given expression: 7n² - 4n - 14 = 21
2) Transpose - 14 =>
7n² - 4n = 21 + 14
3) Combine like terms =>
7n² - 4n = 35
4) multiply both terms by 7 =>
(7n)² - 4(7n) = 35×7
5) form the squared binomial:
(7n - 2)² - 4 = 35×7
6) Transpose - 4 =>
(7n - 2)² = 35×7 + 4
7) Do the operations on the right side:
(7n - 2)² = 249 or (7n - 2)² - 249 = 0
8) Verify the equivalence by expanding the binomial:
(7n)² - 2(7n) + 4 - 249 = 0
(7n)² - 14n - 245 = 0
Divide by 7: 7n² - 2n - 35 = 0 or 7n² - 2n = 35, which is equivalent to the given expression.
Answer:
choose the last option .
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