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SpyIntel [72]
4 years ago
7

Is 2 tons and 500 pounds equivalent to 2 1/4 tons?

Mathematics
2 answers:
mixas84 [53]4 years ago
5 0

Answer: Yes

Step-by-step explanation:

1 ton = 2000 pounds and 500 is 1/4 of 2000

deff fn [24]4 years ago
5 0

Answer: Yes

Step-by-step explanation:

We know that 1 ton is 2000 pounds. We can use this fact to figure out if 500 pounds is equivalent to 1/4 tons. To do so, we can use a proportion.

\frac{2000 pounds}{1 ton} =\frac{500pounds}{x}

2000x=500

x=\frac{500}{2000} =\frac{5}{20} =\frac{1}{4}

Now, we know that 500 pounds is equivalent to 1/4 tons. Therefore, 2 tons and 500 pounds is equivalent to 2\frac{1}{4} tons.

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Use the principle of inclusion and exclusion to find the number of positive integers less than 1,000,000 that are not divisable
wel
This is a simple problem based on combinatorics which can be easily tackled by using inclusion-exclusion principle.
We are asked to find number of positive integers less than 1,000,000 that are not divisible by 6 or 4.
let n be the number of positive integers.
∴ 1≤n≤999,999
Let c₁ be the set of numbers divisible by 6 and c₂ be the set of numbers divisible by 4.
Let N(c₁) be the number of elements in set c₁ and N(c₂) be the number of elements in set c₂.

∴N(c₁) = \frac{999,999}{6} = 166666
N(c₂) = \frac{999,999}{4} = 250000
∴N(c₁c₂) = \frac{999,999}{24} = 41667
∴ Number of positive integers that are not divisible by 4 or 6,

N(c₁`c₂`) = 999,999 - (166666+250000) + 41667 = 625000
Therefore, 625000 integers are not divisible by 6 or 4
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4 years ago
A box in the shape of a rectangular prism has a volume of 96 cubic feet. The box has a length of (x+8) feet, a width of x feet,
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96=(x+8)*x*(x-2)=x^3 +6x^2 -16x. Solve to get x= -6,-4,4. Negative distance doesn't make sense, so x=+4. Therefore, length is (x+8)=(4+8)= 12, width=x=4, and height=(x-2)=(4-2)=2.
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Can you help me on that
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With factoring it??
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Write an inequality for the given statement: 4 times the sum of a number and 3 is at least 28.
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The answer to the question is letter C. 4(x + 3). The expression means that the sum of x and 3 is multiplied by 4. This expression should be equal or greater than 28. All the other choices do not satisfy the inequality.
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A pair of basketball shoes's normal price is $120. Jordan bought it at a discount of 10%. He had to pay 8% tax on the discounted
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Answer:

$17.50

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1.08 x 108 =116.64

If Jordan pays 15% as a down payment, he would pay :

0.15 x 116.64 = 17.496

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