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inna [77]
4 years ago
14

Last month, he sold 50 chickens and 30 ducks for $550. This month, he sold 44 chickens and 36 ducks for

Mathematics
2 answers:
STALIN [3.7K]4 years ago
6 0
Answer: chicken $8, duck $5

Explanation:

x - the cost of a chicken
y - the cost of a duck

he sold 50 chickens and 30 ducks for $550: 50x + 30y = 550
he sold 44 chickens and 36 ducks for $532: 44x + 36y = 532

50x + 30y = 550                divide by 10
44x + 36y = 550                 divide by 4
______________
50x/10 + 30y/10 = 550/10
44x/4 + 36y/4 = 532/4
______________
5x + 3y = 55                                    
Multiply by (-3)
11x + 9y = 133
______________
5x * (-3) + 3y * (-3) = 55 * (-3)
11x + 9y = 133
______________
-15x - 9y = -165
11x + 9y = 133
______________
Sum up:
-4x + 0y = -32
-4x = -32
x = -32/-4
x = 8

Since 5x + 3y = 55  and x = 8, then:
5 * 8 + 3y = 55
40 + 3y = 55
3y = 55 - 40
3y = 15
y = 15/3
y = 5
nadezda [96]4 years ago
3 0
The chicken is 8$ and the duck is 5$
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It is important to multiply the dividend and the divisor by the same power of 10 to remove the decimal point.

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When the numerator and denominator of improper fractions are in whole number form, it makes the division a lot easier.

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5 0
4 years ago
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A shop makes 3250£ in march in april it makes 3542.50£ what if the percentage increase
babunello [35]

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7 0
4 years ago
If a polygon has a vertex at (161, -329) and it is translated 168 units to the right, what are the coordinates of that vertex's
bearhunter [10]
Vertex of the polygon is (161, -329)

The new vertex is shifted 168 units to the right. A horizontal shift can be achieved be adding or subtracting the number from the x-coordinate. A change in the y coordinate brings the vertical shift. So in this case the x-component will change only and y component will be the same.

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3 years ago
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
nydimaria [60]

Answer:

352 m^2

Step-by-step explanation:

Each of the four congruent triangular faces has an area that is half the product of the base edge length and the slant height:

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6 0
3 years ago
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