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Ganezh [65]
3 years ago
9

Marion is making trail mix for a group camping trip. She buys 3 pounds of granola for $3 per pound, and 0.75 pounds of raisins f

or $2 per pound. The equation 3(3) + 0.75(2) = (3 + 0.75)x models the situation, where x is the price per pound of the trail mix. What is the price of the trail mix
BTW THE ANSWER IS 2.80
Mathematics
2 answers:
Julli [10]3 years ago
8 1
Price per pound of the mix = (3 x 3 + 2 x 0.75) ÷ (3 + 0.75) = $2.80

Answer: $2.80
ziro4ka [17]3 years ago
4 1
$11.66, because 3(3) = 9, .75(2) = 2.66, therefore it is $11.66
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$30 is 60% of what number?
ankoles [38]
$30 is 60% of $50.

100 % is the whole figure. Based on the problem, 100 % is separated into two parts, 60% and 40%

100% = 60% + 40%

To get the number where $30 is 60%. Let X be the 100% number.

First, divide all number by 100% to remove the percentage and get the whole number.

100%X = 30 + 40%X

X = 30 + 0.40X
X - 0.40X = 30

0.60X = 30

To get X, divide both sides by 0.60

X = 30 / 0.60
X = 50

To check: Substitute all X by 50.

X = 30 + 0.40X

50 = 30 + (0.40*50)
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50 = 50 EQUAL. CORRECT.


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3 years ago
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Zarrin [17]

Answer:

x = 2k\pi is the solution of this equation.

Step-by-step explanation:

This question is related to trigonometric equations.

The given equation is,

sin^{2} x + 3cos x - 1 = 2

We have to find the solutions of this equation.

Put sin^{2}x  = 1 - cos^{2}x

1 - cos^{2}x + 3cosx - 1 = 2

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3 0
3 years ago
Solve the equation 6w2 – 7w – 20 = 0.
azamat

For this case we have the following quadratic equation:

6w ^ 2-7w-20 = 0

Where:

a = 6\\b = -7\\c = -20

Its roots will be given by:

w = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}\\w = \frac {- (- 7) \pm \sqrt {(- 7) ^ 2-4 (6) (- 20)}} {2 (6)}\\w = \frac {7 \pm \sqrt {49 + 480}} {12}\\w = \frac {7 \pm \sqrt {529}} {12}\\w = \frac {7 \pm23} {12}

The roots are:

w_ {1} = \frac {7 + 23} {12} = \frac {30} {12} = \frac {15} {6} = \frac {5} {2}\\w_ {2} = \frac {7-23} {12} = \frac {-16} {12} = - \frac {8} {6} = - \frac {4} {3}

Answer:

w_ {1} = \frac {5} {2}\\w_ {2} = - \frac {4} {3}

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