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Ede4ka [16]
2 years ago
15

Charlene and Gary want to make trail mix. In order to get the right balance of ingredients for their tastes they bought 3 pounds

of raisins at $2.67 per pound, 3 pounds of peanuts for $2.73 per pound, and 5 pounds of chocolate chips for $3.27 per pound. Determine the cost per pound of the trail mix.
The cost per pound of the trail mix is $________.
Mathematics
1 answer:
AfilCa [17]2 years ago
7 0

Answer:

$2.96

Step-by-step explanation:

3x$2.67=$8.01

3x$2.73=$8.19

5x$3.27=$16.35

$8.01+$8.19+$16.35=$32.55

This makes 11 pounds of trail mix.

$32.55 divided by 11 = $2.9590909 = $2.96

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Micah rows his boat on a river 4.48 miles downstream, with the current, in 0.32 hours. He rows back upstream the same distance,
Molodets [167]
Let the speed of the current be y and the speed of Micah's sailing speed be x. Then 4.48/(x + y) = 0.32
4.48/(x - y) = 0.56

0.32x + 0.32y = 4.48 . . . (1)
0.56x - 0.56y = 4.48 . . . (2)
(1) x 7 => 2.24x + 2.24y = 31.36 . . . (3)
(2) x 4 => 2.24x - 2.24y = 17.92 . . . (4)
(3) - (4) => 4.48y = 13.44
y = 3
From (1), 0.32x + 0.32(3) = 4.48
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x = 3.52/0.32 = 11

Therefore, the speed of the current is 3 miles per hour.

3 0
2 years ago
Read 2 more answers
Find a single expression that represents the area of the outer ring of the circle if the area of the whole circle is represented
sp2606 [1]

Answer:  The answer is A_o=2\pi\sqrt{\dfrac{7}{22}(25x^2-12x-9)}.


Step-by-step explanation: Given that the area of the whole circle is represented by the expression

A_c=25x^2-12x-9.

We are to find the area of the outer ring of the circle, i.e., to find the circumference of the circle.

Now, if 'r' represents the radius of the circle, then we have

A_c=\pi r^2\\\\\Rightarrow \dfrac{22}{7}r^2=25x^2-12x-9\\\\ \Rightarrow r^2=\dfrac{7}{22}(25x^2-12x-9)\\\\\Rightarrow r=\sqrt{\dfrac{7}{22}(25x^2-12x-9)}.

Thus, the area of the outer ring is

A_o=2\pi r=2\pi\sqrt{\dfrac{7}{22}(25x^2-12x-9)}.


5 0
2 years ago
Justin is constructing a line through point Q that is perpendicular to line n. He has already constructed the arcs shown. A line
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I believe that this problem has the following choices:

It must be equal to BQ .<span>
It must be wider than when he constructed the arc centered at point A.
It must be equal to AB .
It must be the same as when he constructed the arc centered at point A.</span>

 

The correct answer is the last one:

It must be the same as when he constructed the arc centered at point A.

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4 0
2 years ago
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Benjamin bought a 5-pound bag of flour for $7.95. What is the unit price per ounce of flour? (1 pound = 16 ounces)
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Answer:

7.95 divided by 5 times 16 so 7.95 divided by 80= so about 10 cents

Step-by-step explanation:

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vesna_86 [32]

Question: The sample data and the scatter plot was not added to your question. See the attached file for the scatter plot.

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From scatter plot, it was discovered that there is a linear relationship between the two variables and both variables are quantitative.

Therefore, it appropriate to use the correlation coefficient to describe the strength of the relationship between​ "Time" and​ "Fish Quality"?

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