Answer:
There are 10 pigs and 30 chickens
Step-by-step explanation:
Let the number of pigs be x
let the number of chickens be y
Then there are 40 heads . So the total number of pigs and chickens is 40
x + y = 40-----------------------(1)
We know that pigs have 4 legs and chickens have 2 legs
4x + 2y = 100----------------------(2)
Solving (1) and (2)
multiply (1) by 2
2x + 2y = 80-------------------------(3)
subtract (3) from (2)
4x + 2y = 100
2x + 2y = 80
----------------------------
2x = 20
----------------------------
x = 10
Now Substituting x in (1), we get
10 + y = 40
y = 40 - 10
y = 30
Answer:
see explanation
Step-by-step explanation:
The hypotenuse is the longest side thus is (4x + 1)
The legs are 2x and (4x - 1)
Using Pythagoras' theorem, then
(4x + 1)² = (2x)² + (4x - 1)² ← expanding factors
16x² + 8x + 1 = 4x² + 16x² - 8x + 1 , that is
16x² + 8x + 1 = 20x² - 8x + 1 ( subtract 20x² - 8x + 1 from both sides )
- 4x² + 16x = 0 ( multiply through by - 1 )
4x² - 16x = 0 ← factor out 4x from each term
4x(x - 4) = 0
Equate each factor to zero and solve for x
4x = 0 ⇒ x = 0
x - 4 = 0 ⇒ x = 4
Now x > 0, thus x = 4
2x = 2(4) = 8
4x - 1 = 4(4) - 1 = 16 - 1 = 15
4x + 1 = 4(4) + 1 = 16 + 1 = 17
Thus
perimeter = 8 + 15 + 17 = 40 cm
Answer: She can fill about 15 3.5- fluid once jars.
Step-by-step explanation:
Given:
Quantity of red paint = 34.6 fluid ounces
Quantity of yellow paint = 18.6 fluid ounces
Total quantity of orange color = (Quantity of red paint )+(Quantity of yellow paint )
= (34.6+18.6) fluid ounces
= 53.2 fluid ounces
Number of 3.5- fluid ounce jars she can fill = (Total quantity of orange color) ÷ 3.5
= 53.2÷3.5 = 15 (approx)
Hence, She can fill about 15 3.5- fluid once jars.
Answer:
The photo above show you how to graph it.
The equation is y=2x-3
Step-by-step explanation:
Hope this helped
