The number is 4.
<h3>What is the Quotient?</h3>
A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.
Let n be the number in question; then, we can write the word problem as an equation like this:
⇒ (n/6) + 1/3 = 7/6
Multiply everything by the least common multiple of all the denominators (6, 3, 6), which is 6.
⇒ 6(n/6) + 9(1/3) = 6(7/6)
⇒ n + 3 = 7
Subtract 3 from both sides,
⇒ n = 4
Hence, the number is 4.
Learn more about the quotient here:
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Answer:
x = -0.5
Step-by-step explanation:
From your last step:
6.8x + 9.3 = -2.6 - 17x
We have two terms with x in them on different sides of the equation, so we want to bring the 'x terms' over to the same side.
Add 17x to both sides of the equation.
6.8x + 17x + 9.3 = -2.6
Collect like terms
23.8x + 9.3 = -2.6
Subtract 9.3 from both sides
23.8x = -2.6 - 9.3
23.8x = -11.9
Divide both sides by 23.8
x = -0.5
Step-by-step explanation:
to compare them, we should all bring to the same denominator.
the lcm (lowest common multiplier) is the that denominator.
let's use the approach of the prime factors :
3 : 3
5 : 5
32 : 2×2×2×2×2
24 : 2×2×2×3
the lcm is the combination of the longest "streaks" of the prime factors.
so,
2×2×2×2×2 × 3 × 5 = 32×15 = 480
2/-3 = -2/3 = -320/480 (as 3×160 = 480)
-4/5 = -4×96 / 5×96 = -384/480 (as 5×96 = 480)
21/-32 = -21/32 = -315/480 (as 32×15 = 480)
-15/24 = -15×20 / 24×20 = -300/480 (24×20 = 480)
as
-384/480 < -320/480 < -315/480 < -300/480
we can say
-4/5 < -2/3 < -21/32 < -15/24
20% of 100 is 20. divide that by 2 to get 20% of 50. 20/2 is 10. 20% of 50 is 10. There are 10 blue marbles.
Hope it helped :)
Ali
