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nika2105 [10]
3 years ago
14

If three pounds of coffee costs $22.56, what is the cost of 1

Mathematics
1 answer:
NeX [460]3 years ago
8 0

Answer:

$7.52 = 7 dollars and 52 cents.

Step-by-step explanation:

Given that three pounds of coffee = $22.56

1 pound of coffee = $22.56/3

Thus, we would have:

\frac{22.56}{3} = 7.52.

A pound of coffee = $7.52

$7.52 = 7 dollars and 52 cents.

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Find all real solutions of the equation by completing the square. (Enter your answers as a comma-separated list.) x2 − 4x − 8 =
Nat2105 [25]

Answer:

After completing the square the expression is (x-2)^2 -12 =0 and real solution are x = 5.46 and x = -1.46

Step-by-step explanation:

We need to complete the square:

x^2 − 4x − 8 = 0

x^2 -2(x)(2)+(2)^2 -8 -4 =0

(x^2 -4x +4) - 12 = 0

(x-2)^2 -12 =0

Now, finding the value of x

(x-2)^2 -12 =0

(x-2)^2 = 12

taking square root on both sides

\sqrt{(x-2)^2}= \sqrt{12} \\(x-2) = \pm\sqrt{12} \\x = \pm\sqrt{12} +2\\x = \sqrt{12}+2 \,\,and\,\,x=-\sqrt{12}+2\\x= 3.46+2 \,\,and\,\,x=-3.46+2\\x =5.46\,\,and\,\,x=-1.46

So, After completing the square the expression is (x-2)^2 -12 =0 and real solution are x = 5.46 and x = -1.46

5 0
3 years ago
Which term describes a fraction that has a polynomial in its numerator and denominator?
pentagon [3]
Rational expression refers to a fraction in which the numerator and denominator are polynomials.
3 0
3 years ago
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Jessa started with 100 sugar cookies for the Christmas banquet and gave away x cookies. Cooper started with 120 cookies but gave
masya89 [10]

Answer:

20 cookies

Step-by-step explanation:

To find the answer start by plugging in numbers. first, subtract the number from 100 or Jessa's number of cookies then multiply that by 2 and subtract that from 120 or Cooper's cookies. If the two resulting numbers are equal then you have the right answer.

5 0
2 years ago
Solve 3 ^ x + 6 = 3 ^ 4
aleksklad [387]

Answer:

3.93 (approx.)

Step-by-step explanation:

3 ^ x + 6 = 3 ^ 4 can be rewritten as 3 ^ x  = 3 ^ 4  -   6, or

3^x = 81 - 6  =  75.

Then 3^x = 75, or

x*ln 3 = ln 75

Solving for x:  

x = (ln 75) / (ln 3) = 3.93 (approx.)

8 0
3 years ago
This one twelve less one fourth of a number
kolezko [41]

Answer:

True

Step-by-step explanation:

1/4 is greater than 1/12

Hope this helps

6 0
3 years ago
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