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2 years ago

A 6-pound bag of sugar costs $7.98. What is the unit price?

Mathematics

2 answers:

Shtirlitz [24]2 years ago

7 0

Answer:

1.33

Step-by-step explanation:

Akimi4 [234]2 years ago

3 0

Lets start by making a quick equation:

Total cost is y, or 7.98, with the weight being 6 pounds. We are looking for the unit price, which will be our x.

7.98 = 6x

Divide 6 by both sides:

7.98 / 6 = 6x / 6

This gets rid of the 6 on the right, so we are left with:

1.33 = x

So the unit price is $1.33 per pound.

I hope this helps! :)

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Plz help me find these functions!

Iteru [2.4K]

Answer:

$\sin \alpha = \frac{5}{13}$ , $\cos \alpha = \frac{12}{13}$ , $\tan \alpha = \frac{5}{12}$ , $\cot \alpha = \frac{12}{5}$ , $\sec \alpha = \frac{13}{12}$ , $\csc \alpha = \frac{13}{5}$

Step-by-step explanation:

The angle $\alpha$ is the angle opposite to the side of length 5 and adjacent to the side of length 12. From Trigonometry we remember the following relationships:

$\sin \alpha = \frac{5}{\sqrt{5^{2}+12^{2}}}$

$\sin \alpha = \frac{5}{13}$

$\cos \alpha = \frac{12}{\sqrt{5^{2}+12^{2}}}$

$\cos \alpha = \frac{12}{13}$

$\tan \alpha = \frac{5}{12}$

$\cot \alpha = \frac{12}{5}$

$\sec \alpha = \frac{\sqrt{5^{2}+12^{2}}}{12}$

$\sec \alpha = \frac{13}{12}$

$\csc \alpha = \frac{\sqrt{5^{2}+12^{2}}}{5}$

$\csc \alpha = \frac{13}{5}$

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2 years ago

REASONING An even integer can be represented by the expression $2n$ , where $n$ is any integer. Find three consecutive even inte

san4es73 [151]

Answer:

First Integer = 16

Second Integer = 18

Third integer = 20

Step-by-step explanation:

An even integer is represented by 2n

Where n is any integer

Let :

First Integer = 2n - 2

Second Integer = 2n

Third integer = 2n + 2

The sum of three even consecutive numbers = 2n - 2 + 2n + 2n + 2

= 2n + 2n + 2n - 2 + 2 = 54

= 6n = 54

n = 54/6

n = 9

First Integer = 2n - 2 = 2(9) - 2

= 16

Second Integer = 2n = 2(9)

= 18

Third integer = 2n + 2 = 2(9) + 2

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elena55 [62]

For this case, the first thing we must do is apply the law of the sine.
We then have the following expression:
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Clearing the value of x we have:
x = (sine (65) / sine (104)) * (36)
x = 33.6 feet
Answer:
The distance between the sandbox and garden is:
x = 33.6 feet

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3 years ago

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spin [16.1K]

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Explanation

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1                                             5                         5

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6                                              25 + 5 = 30        0

2) Pattern: you can see that the ones digit alreternate: 5, 0, 5, 0, 5, 0, ...

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