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Snezhnost [94]
2 years ago
14

The product of 10 and a number is 3 less than the number.

Mathematics
1 answer:
djverab [1.8K]2 years ago
5 0

Answer:

-1/3

Step-by-step explanation:

The product of 10 and a number is 3 less than the number.

Ok, lets call this number x.

10x = x-3 is how to algebraically write this out.

now, lets subtract x from both sides

9x = -3

Divide by 9

x = -1/3

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2sin(2x) + 1 = 3sin(2x) Solve for x with exact answers. The domain is 0 ≤ x ≤ π
Temka [501]

Answer:

x = π/4.

Step-by-step explanation:

3sin(2x) = 2sin(2x) + 1

3sin(2x) - 2sin(2x) = 1

1sin(2x) = 1

sin(2x) = 1

When a variable n = π/2, sin(π/2) = 1 [refer to the unit circle].

2x = π/2

x = π/4.

Hope this helps!

7 0
3 years ago
Sara buys a book for $17.50 and a pen for $6.50. If the sales tax rate is 8.25%, what will be the total amount of sales tax on h
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Answer:

$25.98

Step-by-step explanation:

Add the items Sara buys to find the total:

17.50 + 6.50 = 24

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0.0825 x 24 = 1.98

1.98 is the amount of tax, then add the tax to the total amount you got before tax.

24 + 1.98 = 25.98

Your answer would be 25 dollars and 98 cents!

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2 years ago
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