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Anna71 [15]
3 years ago
8

You sell lemonade for $2 per cup and orange juice for $3 per cup. You sell a total of 100 cups for $ 240. How many cups of lemon

ade and orange juice were sold ?
Mathematics
2 answers:
Dvinal [7]3 years ago
8 0
240/2 = 120 cups of lemonade
240/3 = 80 cups of orange juice
BartSMP [9]3 years ago
4 0
Lemonade:
From the given information,you can write an linear equation like this:
$2x + $3(100 - x) = 240
First, you have to distribute them = 2x + 300 - 3x 
Then, you have to add like terms = 1x + 300=240
Next, you have to transpose 300 to the left = -1x = 300 - 240
So, you have to subtract = -1x = -60
And, you solve = -60 = -60 So x = 60
60 cups of lemonade sold

Orange:
100 - x = 100 - 60 = 40 cups of orange juice sold
So you can check our answer by using the original linear equation
2x + 3( 100 - x) = 240 2(60) + 3 (100 - 60) = 240 120 + 3(40) = 240 120 + 120 = 240 240 = 240

Hope this helps! ;)
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3 years ago
3. Which statements about the line that passes through (-2, 0) and (2, -4) are true?
diamong [38]

Answer:

B, C, and D.

Step-by-step explanation:

Let's go through each answer choice.

A: To find the slope of a line from two points, we use this formula: (y_2-y_1)/(x_2-x_1). Plugging in the values (-2,0) and (2, -4), we get:

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  • -4/4
  • -1

Because option A says the slope is 1, but we got -1, option A is false.

B: To find the y-intercept, we use this formula: b = y_1 - m * x_1

  • b = 0 -(-1) * (-2)
  • b = 1 * (-2)
  • b = -2  

Since we know the value of b is the y-intercept, we could write the y-intercept as (0,-2). Therefore, option B is true.

C: The equation of a line (in slope-intercept form) is y = mx + b, where y - y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. Since we already solved for the y-intercept and slope, let's plug in those values:

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  • y = -x -2

As you can see, the equation we got here matches the one in option C, meaning it's true.

D: We know that a point is written like this: (x, y). If the x-coordinate is not zero but the y-coordinate is, then it's the x-intercept. Since the question says that (-2,0) is one of the points the line passes through, and option D says that the x-intercept is (-2,0), it's true.

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RUDIKE [14]

Answer:

The answers is below in bold.

Step-by-step explanation:

(a) A = 180 - 25.6 - 124.4 = 30 degrees.

Next use the Sine Rule:

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b = (39.2 * sin 25.6) / sin 124.4

b = 20.53 m.

Also

a / sin A = c / sin C

a / sin 30 = 39.2 / sin 124.4

a =  (39.2 * sin 30 / sin 124.4

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b). This is solved in a similar way to (a).

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Then you will know angle A  from the 180 degree Rule.

Then you can find the length of  a using the Sine Rule.

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