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nekit [7.7K]
2 years ago
14

Which inequality describes the situation when Courtney wants to pay less than $15 for a new hat?

Mathematics
1 answer:
NeX [460]2 years ago
5 0

Answer:

x<15

Step-by-step explanation:

x needs to be less than 15 since Courtney's not paying any more than that.

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<img src="https://tex.z-dn.net/?f=1%20%2B%20%20log_%7B2%7D%28x%20-%202%29%20%20%3D%20%20%20log_%7B2%7Dx" id="TexFormula1" title=
fenix001 [56]

Move all the logarithms on the left hand side, and all the constants on the other:

\log_2(x-2) - \log_2(x) = -1

Use the rule of logarithms

\log_a(b) - \log_a(c) = \log_a\left(\dfrac{b}{c}\right)

To rewrite the equation as

\log_2\left(\dfrac{x-2}{x}\right) = -1

Evaluate 2 to the power of each side:

\dfrac{x-2}{x} = 2^{-1} = \dfrac{1}{2}

Multiply both sides by 2x:

2(x-2) = x \iff 2x-4 = x \iff x = 4

6 0
3 years ago
Read 2 more answers
A high school coach wants to buy new shirts for the 25 members of the track team. The coach must spend less than $300 on the shi
aksik [14]
25 less than or equal too 300,not really enough information
3 0
3 years ago
Write the expression 3 +2 x 20
prohojiy [21]
3+2 x20
3+2=5
5x20=
100
Hope this helped.
3 0
3 years ago
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Shauna saw 30 fish. If the number of fish she saw was 6 more than twice the number of clams, which equation could she use to fin
Gwar [14]

Answer:

2x + 6 = 30

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4 0
3 years ago
Which step should be completed first in the following problem 4(27÷3²)
Yakvenalex [24]

Answer:

3²

Step-by-step explanation:

We have to use BPEMDAS Order of Operations:

B - Brackets

P - Parenthesis

E - Exponents

M - Multiply

D - Divide

A - Addition

S - Subtraction

We use this order left to right. Since we have parenthesis, we look at that first. Inside, we have division and exponents. Since exponents come first, we have to evaluate 3² first.

7 0
3 years ago
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