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Colt1911 [192]
2 years ago
10

Solving a decimal word problem using a linear equation of the for...

Mathematics
1 answer:
Sindrei [870]2 years ago
6 0

Answer:

5 pounds of coffee

Step-by-step explanation:

Let the number of pounds of coffee bought be 'x'.

Given:

Value on gift card = $90

Value of coffee per pound = $8.09

Money left after buying coffee = $49.55

Now, using unitary method,

1 pound cost = $8.09

∴ 'x' pounds cost = 8.09x

Now, Money left = Total money on gift card - Cost of coffee.

49.55=90-8.09x\\\\8.09x=90-49.55\\\\8.09x=40.45\\\\x=\frac{40.45}{8.09}=5

Therefore, Lashonda bought 5 pounds of coffee.

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2logx=3-2log(x+3) solve for x​
AVprozaik [17]

Answer:

\large\boxed{x=\dfrac{-3+\sqrt{40+10\sqrt{10}}}{2}}

Step-by-step explanation:

2\log x=3-2\log(x+3)\\\\Domain:\ x>0\ \wedge\ x+3>0\to x>-3\\\\D:x>0\\============================\\2\log x=3-2\log(x+3)\qquad\text{add}\ 2\log(x+3)\ \text{to both sides}\\\\2\log x+2\log(x+3)=3\qquad\text{divide both sides by 2}\\\\\log x+\log(x+3)=\dfrac{3}{2}\qquad\text{use}\ \log_ab+\log_ac=\log_a(bc)\\\\\log\bigg(x(x+3)\bigg)=\dfrac{3}{2}\qquad\text{use the de}\text{finition of a logarithm}\\\\x(x+3)=10^\frac{3}{2}\qquad\text{use the distributive property}

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6 0
2 years ago
What is the greatest common factor of 3a^2+30a
Lisa [10]

Answer:

3

Step-by-step explanation:

3 is a prime number so other than 3x1 3 does not have any other factors

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3 years ago
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Likurg_2 [28]
The answer is 40 you do 10 times 4 I hope it helped you you only need to multiply
3 0
3 years ago
Worth 20 pts
Verizon [17]
The answer would be 15 but i am not sure what the problem says her answer is. if it is not 15 then her answer is wrong
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2 years ago
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Basically the ones that are far away from the others.

Thus, the outliers for this graph are K and F

</span>
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