A farmer has chickens, sheep and horses there are 154 animals and 516 total legs the number of sheep equals twice the number of
chickens how many of each type of animals does he have
1 answer:
Answer:
number of chicken = 50
number of sheep = 100
number of horse = 4
Step-by-step explanation:
Let
x = number of chicken
y = number of sheep
z = number of horse
x + y + z = 154 (1)
2x + 4y + 4z = 516 (2)
the number of sheep equals twice the number of chickens
y = 2x
Substitute into the equation
x + y + z = 154
x + 2x + z = 154
3x + z = 154 (3)
2x + 4y + 4z = 516
2x + 4(2x) + 4z = 516
2x + 8x + 4z = 516
10x + 4z = 516 (4)
3x + z = 154 (3)
10x + 4z = 516 (4)
Multiply (3) by 4 to eliminate z
12x + 4z = 616 (5)
10x + 4z = 516 (4)
Subtract (4) from (5)
12x - 10x = 616 - 516
2x = 100
x = 100/2
x = 50
Recall,
y = 2x
y = 2(50)
y = 100
x + y + z = 154
50 + 100 + z = 154
150 + z = 154
z = 154 - 150
z = 4
number of chicken = 50
number of sheep = 100
number of horse = 4
You might be interested in
Answer:
225 minutes
Step-by-step explanation:
45 min = 20% = 20/100
20 x 5 = 100
45 x 5 = 225
Answer:
Daniel only
Step-by-step explanation:
If you take 72 inches and convert it into yards you get 2 yards.
(divide the length value by 36. so 72 divided by 36 and you get 2 yards)
Given:
S1 = 6 m
S2 = 8 m
S3 = 10 m
h = 3 m
Lateral Area Formula :
LA = hP ; height * perimeter
= 3m * (6 + 8 + 10)
= 3m * 24
LA = 72 m²
Surface Area Formula:
SA = 2B + hP : B = area of the base = ab / 2 = (6m * 8m)/2 = 48/2 = 24m²
SA = 2(24m²) + 72m²
SA = 48 m² + 72 m²
SA = 120 m²
Answer: 38° and 52°
Steps:
x + 38° = 90°
x = 90° - 38°
x = 52°
90° - 52° = 38°
Answer:
$25.20
Step-by-step explanation:
5% of 24 = 1.20
REASON: .05=5% (5÷100=.05because % means out of 100 or a ÷ sign)
24+1.20= 25.20
