Answer: the cost of one chicken is $8
The cost of one duck is $5
Step-by-step explanation:
Let x represent the cost of one chicken.
Let y represent the cost of one duck.
Last month, he sold 50 chickens and 30 ducks for $550. It means that
50x + 30y = 550- - - - - - - - - - - 1
This month, he sold 44 chickens and 36 ducks for $532. It means that
44x + 36y = 532- - - - - - - - - - - 2
Multiplying equation 1 by 44 and equation 2 by 50, it becomes
2200x + 1320y = 24200
2200x + 1800y = 26600
Subtracting, it becomes
- 480y = - 2400
y = - 2400/- 480
y = 5
Substituting y = 5 Intl equation 1, it becomes
50x + 30 × 5 = 550
50x + 150 = 550
50x = 550 - 150
50x = 400
x = 400/50
x = 8
Answer:
The factors of given polynomial x =-1 , -2 and x =3
Step-by-step explanation:
<u><em>Step(i):</em></u>-
Given the polynomial
f(x) = x³ - 7x -6
put x =-1
f(-1) = (-1 )³- 7(-1) - 6 = -1+7-6=0
(x+1) is a one factor
By using synthetic division
x³ x² x constant
x=-1 ↓ 1 0 -7 -6
<u>↓ 0 -1 1 6</u>
<u> 1 -1 -6 0 </u>
<u />
<em>The polynomial x² - x - 6 </em>
<u><em>Step(ii):-</em></u>
The factors ( x+1)(x² - x - 6 ) = 0
x = -1 and x² - x - 6 =0
x =-1 and x² - 3x + 2 x - 6 =0
x =-1 and x (x -3) + 2( x-3) =0
x =-1 and (x+2)(x-3) =0
<u><em>Final answer:-</em></u>
The factors of given polynomial x =-1 , -2 and x =3
Answer:
86%
Step-by-step explanation:
<u>430</u><u> </u> × <u>100</u> = <u>430</u> = 86%
500 1 5
you are going to cancel. 100 divided by 100 leaves 1. 500 divided by 100 is 5.
430×1= 430. 5×1=5. divide 430 by 5 and you"ll get 86.
Find total ounces mixed for each flower:
Daisies = 2+5 = 7 ounces
Tulips = 3 +6 = 9 ounces
Now find the ratio of purple to white for each one:
Daisies = 5/7 = 0.714
Tulips = 6/9 = 0.666
Daisies have more purple so would be the darker ones.