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mixer [17]
3 years ago
13

When a number * is divided by 22, the quotient is 74 and the remainder is 0. What will be the quotient when * is divided by 11?

Mathematics
2 answers:
cricket20 [7]3 years ago
4 0

Answer:

The quotient will be 2 this is the answer

vesna_86 [32]3 years ago
3 0

Answer:

148

Step-by-step explanation:

Let the required number be x.

Since,

Dividend = Divisor*Quotient + Remainder

So,

x = 22*74 + 0

x = 1628

Thus, the required number is 1628

Now, let us divide 1628 by 11

1628 \div 11 = 148

Hence, the quotient will be 148.

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An aquarium is in the shape of a cube. The aquarium can hold between 4096 cubic inches and 8000 cubic inches of water. What are
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Answer: The possible side lengths are either 16 inches or 20 inches

Step-by-step explanation: The aquarium is in the shape of a cube which suggests that, all dimensions (length, width and height) are equal.

If it can hold 4096 cubic inches of water, then the volume of water in it can be calculated as follows;

Volume = L x W x H

Knowing that all three dimensions are the same the formula can be re-written as;

Volume = L³

4096 = L³

Add the cube root sign to both sides of the equation

∛4096 = ∛L³

16 = L

Also if it can hold up to 8000 cubic inches of water, then the volume of water in it can be calculated as;

Volume = L³

8000 = L³

Add the cube root sign to both sides of the equation

∛8000 = ∛L³

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Therefore, if the aquarium can hold between 4096 and 8000 cubic inches of water, then the side lengths are either 16 inches or 20 inches

3 0
3 years ago
Mary has rehearsed her ballet solo for five and a half hours. A week from now, she wants to have rehearsed at least a total of n
djverab [1.8K]
The answer to this problem is 2
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3 years ago
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Sonja [21]
Since F(X) = 3^X,

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3 years ago
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Tara wants to fix the location of a mountain by taking measurements from two positions 3 miles apart. From the first position, t
Black_prince [1.1K]

Answer:

Shortest distance from the mountain is 3.17 miles.

Step-by-step explanation:

From the figure attached,

Let a mountain is located at point A.

Angle between the mountain and point B (∠B) = 53°

Angle between the mountain and point C (∠C) = 78°

Distance between these points = 3 miles

Since, m∠A + m∠B + m∠C = 180°

m∠A + 53° + 78° = 180°

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By applying sine rule in triangle ABC,

\frac{\text{sin}(49)}{BC}=\frac{\text{sin}(53)}{AC}= \frac{\text{sin}(78)}{AB}

\frac{\text{sin}(49)}{3}=\frac{\text{sin}(53)}{AC}= \frac{\text{sin}(78)}{AB}

\frac{\text{sin}(49)}{3}=\frac{\text{sin}(53)}{AC}

AC = \frac{3\text{sin}(53)}{\text{sin}(49)}

AC = 3.17 miles

\frac{\text{sin}(49)}{3}=\frac{\text{sin}(78)}{AB}

AB = \frac{3\text{sin}(78)}{\text{sin}(49)}

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3 years ago
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Answer:

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