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tatuchka [14]
3 years ago
13

Rally sold 30 flower baskets at a market. She purchased 30 baskets for $142.65, 185 yards of ribbon for $.07 per yard, and $252.

50 of assorted flowers.
a. What was Rally’s cost per basket?
b. What was Rally’s profit if she sold all the baskets for $25.99 each?
Mathematics
1 answer:
rosijanka [135]3 years ago
7 0

Answer:

She spent 142.65 for baskets, 252.50 for flowers and 185 * 0.07 or 12.95 for ribbons for a total outlay of 408.10. Since she made 30 baskets, that is 408.10/30 = 13.60 1/3 per basket.

If she sold all 30 for 25.99 each, that is 779.70 for a profit of 361.60

Step-by-step explanation:

:)

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Find the missing sides.
love history [14]

Answer:

Part 3)

x=6\ units

y=3\ units

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Step-by-step explanation:

Part 3)

<em>step 1</em>

Find the value of x

In the right triangle of the figure we know that

The cosine of angle of 30 degrees is equal to the adjacent side to angle of 30 degrees divide by the hypotenuse

so

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and remember that

cos(30\°)=\frac{\sqrt{3}}{2}

substitute

\frac{\sqrt{3}}{2}=\frac{3\sqrt{3}}{x}

Simplify

x=(2*3)=6\ units

<em>step 2</em>

Find the value of y

In the right triangle of the figure we know that

The sine of angle of 30 degrees is equal to the opposite side to angle of 30 degrees divide by the hypotenuse

so

sin(30\°)=\frac{y}{x}

and remember that

sin(30\°)=\frac{1}{2}

substitute

\frac{1}{2}=\frac{y}{6}

y=6/2=3\ units

Part 4) Find the value of x

Applying the Pythagoras Theorem

x^{2} =18^{2} +18^{2} \\ \\x^{2} = 324+324\\ \\x^{2}=648\\ \\x=\sqrt{648}\ units

Simplify

x=18\sqrt{2}\ units

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The slope of the red line that is perpendicular to the green line is: -5/2.

<h3>What are the Slope Values of Perpendicular Lines?</h3>

When one line lies perpendicular to another line, the slope of one must be the negative reciprocal of the other line.

<h3>What is the Negative Reciprocal of a Number?</h3>

If given a number, i.e. a/b, the negative reciprocal of a/b would the opposite value of the reciprocal of a/b.

Reciprocal of a/b is b/a. Negative reciprocal of a/b would therefore be: -b/a.

Given that the slope of the green line is: 2/5. And it is perpendicular to the red line. The slope of the red line would be the negative reciprocal of 2/5.

Negative reciprocal of 2/5 is -5/2.

Therefore, the slope of the red line is: -5/2.

Learn more about slope of perpendicular lines on:

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Answer:

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