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Vesnalui [34]
3 years ago
14

A farmer sells carrots and squash. A customer buys 1 pound of carrots and 1.5 ponds of squash for $7.00. Another customer buys 4

.5 pounds of carrots and 1.75 pounds of squash for $14.00. Enter the price in dollars for 1 pound of carrots
Mathematics
1 answer:
Otrada [13]3 years ago
8 0

Answer:

$1.75

Step-by-step explanation:

1 pound of carrot and 1.5 pounds of squash cost $7.00.

1c + 1.5s = 7 ----------------- [ 1 ]

4.5 pounds of carrot and 1.75 pound of squash cost $14.00.

4.5c + 1.75s = 14 ----------------- [ 2 ]

<u>[ 1 ] x 4.5:</u>

4.5c + 6.75s = 31.5 ----------------- [ 1a ]

<u>[1a] - [2]:</u>

5s = 17.5

s = $3.50

<u>Sub s = 3.5 into [ 1 ]:</u>

1c + 1.5 (3.5)  = 7

1c + 5.25 = 7

1c = $1.75

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In triangle ABC, a = 9, c = 5, and angle B = 120°. Find the measure of angle A to the nearest degree. Show your work.
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<u>Answer:</u>

Angle A = 39°

<u>Step-by-step explanation:</u>

We are given that there is a triangle ABC where a = 9, c = 5 and angle B = 120° and we are to find the measure of angle A.

But first we need to find the side b using the law of cosine:

b^2 = a^2 + c^2- 2a*c*cos(120)

b^2 = 81 + 25 - 2*9*5*(-0.5)

b=\sqrt{151}

Now finding angle A using law of cosine:

cos(A) = \frac{b^2+c^2-a^2}{2b*c}

cos(A) = \frac{151+25-81}{2*12.29*5}

cos A=0.7730

A=39.38

Therefore, the measure of angle A = 39°.

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3 years ago
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Answer:

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Step-by-step explanation:

First, we see the slope. The basic template for a slope-intercept question is

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To find b, we can just try out the point that the equation gave us.

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Then, to get to -4 from 3, we need to subtract 7.

Then, we get our whole slope-intercept equation. y=-3/5x - 7

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Step-by-step explanation:

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In the pictures linked.

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