Answer:
The answer is below
Step-by-step explanation:
Don has four different chicken coops on his farm. He gathers eggs from each coop every day to sell at the local farmer's market each week. During one week in the summer, the production levels from the coops were compared. • The number of eggs from coop B can be found by subtracting 10 from coop A's production, and then multiplying this result by two-fifths. • The number of eggs from coop C can be found by adding 3 to coop A's production, multiplying this amount by 3, subtracting 4 from this total, and then dividing the whole result by 4. • The number of eggs from coop D can be found by adding 7 to coop A's production, doubling this amount and then dividing the result by 3. A. Define a variable for the number of eggs produced by coop A. Then write expressions for the number of eggs produced by the other coops. B. If coop A produced 125 eggs, how many did each of the other coops produce? C. If the sum of the number of eggs from coop B and coop C was 24 more than the number from coop D. How many eggs did each coop produce
Solution:
a) Let the number of eggs from coop A be w, number of eggs from coop B be x, number of eggs from coop C be y and number of eggs from coop D be z.
x = 2/5(w - 10) (1)
y = (3(w + 3) - 4)/4
y = (3w + 5) / 4 (2)
z = 2(w + 7)/3 (3)
b) Given that w = 125 eggs:
x = 2/5(125 - 10) = 46 eggs
y = (3(125) + 5) / 4 = 95 eggs
z = 2(125 + 7)/3 = 88 eggs
c) x + y = z + 24.
i.e. 2/5(w - 10) + (3w + 5)/ 4 = 2(w + 7)/3 + 24
multiply through by 60:
24w - 240 + 45w + 75 = 40w + 280 + 1440
69w - 165 = 40w + 1580
29w = 1885
w = 65 eggs
x = 2/5(65 - 10) = 22 eggs
y = (3(65) + 5) / 4 = 50 eggs
z = 2(65 + 7)/3 = 48 eggs
A) The formula x = -b ± sqrt(b2 - 4ac)/2a calculates the roots of a quadratic equation.
D) The formula M = ((x1 + x2)/2, (y1 + y2)/2) calculates the mid-point of the line joining the points and .
B) The formula m = ((y2 - y1)/(x2 - x1)) calculates the slope of a line.
Hence, option B should be used to find the slope of EF.
Answer:
By dividing the top number by the bottom.
Step-by-step explanation:
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Answer:
B.5
C.7
D.9
Step-by-step explanation:
a,b and c are the sides of a triangle if it satisfies:
a<b+c , b<a+c and c<b+a
Here, a=4 and b=7
We have to find c
i.e. all those c which satisfies:
4<7+c , 7<4+c and c<4+7=11
A.3 it is not true since it doesn't satisfies second inequality
B.5 it is true
C.7 it is true
D.9 it is true
E.11 This is clearly false, since it doesn't satisfies inequality third
F.17 This is clearly false, since it doesn't satisfies inequality third
Hence, correct options are:
B.5
C.7
D.9
Circumference is a distance it is the perimiter of the circle
when you square, you find the legnth and width or the area