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Korolek [52]
3 years ago
12

Alpha can produce either 18 oranges or 9 apples an hour, while Beta can produce either 16 oranges or 4 apples an hour. The oppor

tunity cost of producing 1 orange for Alpha and Beta, respectively, are:
A. 0.25 apples; 0.5 apples.
B. 9 apples; 4 apples.
C. 0.5 apples; 0.25 apples.
D. 2 apples; 4 apples
Mathematics
1 answer:
jolli1 [7]3 years ago
3 0

Answer: Option 'B' is correct.

Step-by-step explanation:

Since we have given that

In case of Alpha:

Number of oranges = 18

Number of apples = 9

In case of Beta :

Number of oranges = 16

Number of apples = 4

We need to find the opportunity cost of producing 1 orange for Alpha and Beta.

Opportunity cost for Alpha is given by

\dfrac{\text{number of sacrificing units}}{\text{Number of gaining units}}\\\\=\dfrac{18}{9}=2

Opportunity cost for Beta is given by

\dfrac{16}{4}=4

Hence, Opportunity cost for producing 1 orange for Alpha and Beta are 9 apples and 4 apples respectively.

Hence, Option 'B' is correct.

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Select all of the ratios that are equivalent to 6:16.
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Answer : B, D

Step - by - step explanation :

6/16 Divided by 2/2 --> 3/8 ( so it's not 2/8 )

6/16 Multiplied by 2/2 --> 12/32 ( so it's not 12/18 )

30/80 --> 3.75 6/16 --> 3.75

8 0
2 years ago
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What is the slope-intercept form of the linear equation 4x + 2y = 24? Drag and drop the appropriate number, symbol, or variable
Morgarella [4.7K]

The slope-intercept form of the linear equation 4x + 2y = 24 is y =-2x+12

Step-by-step explanation:

We need to write slope-intercept form of the linear equation 4x + 2y = 24

The standard equation of slope-intercept form is:

y=mx+b

Converting given equation in slope-intercept form.

4x + 2y = 24

Add -4x on both sides

2y = -4x+24

Divide both sides by 2

y =-2x+12

So, the slope-intercept form of the linear equation 4x + 2y = 24 is y =-2x+12

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Learn more about Slope-intercept form at:

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3 years ago
PLZ HELPPP FIND EQUATION OR WHICH IS EASY PLZ THXS
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Answer:

Have 1 penny and double it for 14 days

Step-by-step explanation:

10x14 = 140+5 = 145 dollars

2.4758801e+25 dollars


8 0
4 years ago
The function A(b) relates the area of a trapezoid with a given height of 10 and
Natali [406]

Answer:

B(a)=\frac{a}{5} -7

Step-by-step explanation:

The input it taken as the unknown base value, while the output here is the area of the trapezoid. b is therefore the base value, and A( b ) is the area of the trapezoid. Let's formulate the equation for the area of the trapezoid, and isolate the area of the trapezoid. To find the inverse of this function, switch y ( this is A( b ) ) and b, solving for y once more, y ➡ y ⁻ ¹.

y = height * ( ( unknown base value ( b ) + 7 ) / 2 ),

y = 10 * ( ( b + 7 ) / 2 )

Now switch the positions of y and b -

b = 10 * ( ( y + 7 ) / 2 ) or b=\frac{\left(y+7\right)\cdot \:10}{2} - now that we are going to take the inverse ( y ⁻ ¹ ) or B( a ), b will now be changed to a,

y+7=\frac{a}{5},

y^{-1}=\frac{a}{5}-7 = B(a)

Therefore the equation that represents the inverse function will be the following : B(a) = a / 5 - 7

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"What is Limit of h (x) as x approaches 10 plus?"
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As <em>x</em> → 10 from above, <em>h(x)</em> is steadily approaching 18.5.

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