The length of GH is 15.
<h3>How to calculate the length?</h3>
GH = IG
GH = 5x - 10
IG = 3x
5x - 10 = 3x
5x - 3x = 10
2x = 10
x = 10/2 = 5
GH = 5x - 10
= 5 * 5 - 10 = 25 - 10
GH = 15
<ABD = < DBC
<ABD = 10y°
<DBC = (8y + 4)°
10y° = (8y + 4)°
10y = 8y + 4
10y - 8y = 4
2y = 4
y = 4/2 = 2
The value of y is 2
<DBE = <DBC + <CBE
<DBC = 10y°
<CBE = <DBC = 10y°
y = 2
<DBC = <CBE = 10y° = 10*2° = 20°
<DBE = 20° + 20° = 40°
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Answer:
22%
Step-by-step explanation:
1- 11000/50000 = 0.22
2- 0.22 x 100 = 22%
.. ..
Answer:
The total revenue equation is TR=50Q
The total cost equation TC=2304+14Q
Equilibrium quantity is 64
Step-by-step explanation:
The total cost function can be written TC=a+bQ, where TC is the total cost ,a fixed cost ,b is the variable cost per unit and Q the quantity produced
Revenue function can be given TR=P*Q, where TR is total revenue,P is the price per unit and Q quantity sold
since P is $50
TR=50P
when TC=$3564,
3564=a+90Q equation 1
when TC=$5944
5944=a+260bequation 2
Solving simultaneously,we subtract equation 1 from 2
5944=a+260b
3564=a+90b
2380=170b
b=2380/170
b=$14
We substitute for b in any of the equations
3564=a+(14*90)
3564=a+1260
a=3564-1260
a=2304
Hence the total cost equation is
TC=2304+14Q
At equilibrium TC =TR
50P=2304+14Q
50P-14Q=2304
36Q=2304
Q=64
Answer:
71
-133
Step-by-step explanation:
Given the polynomial :
3x³– 4x² + 7x + 5, when x = 3 and also when
x = –3.
Put x = 3
3(3)³– 4(3)² + 7(3) + 5
3(27) - 4(9) + 21 + 5
81 - 36 + 21 + 5
= 71
Put x = - 3
3(-3)³– 4(-3)² + 7(-3) + 5
3(-27) - 4(9) - 21 + 5
-81 - 36 - 21 + 5
= - 133
20 cups of 10 oz each it's 200 oz
1 gallon it's 4(32)=128 oz
2 gallons is 256 oz. she will need to buy two gallons
