Answer:
6 Chickens
Step-by-step explanation:
Let H represent the number of horses and C represent the number of chickens. Since there are 32 legs altogether this means that on equation to use would be given by:
2C + 4 H = 32 (Eq. 1)
Another equation can be made from the fact that there are 11 heads or 11 animals altogether which can be written as:
C + H = 11 (Eq. 2)
From Eq. 2, solve for the number of chickens:
C + H = 11
C = 11 - H (Eq. 3)
Substituting Eq. 3 in Eq. 1, the number of horses can be determined:
2 C + 4 H = 32
2 ( 11 − H ) + 4 H = 32
22 − 2 H + 4 H = 32
2H = 32 − 22
2 H = 10
H = 5 Eq.4
Putting Eq.4 in Eq.1
2C + 4*5 = 32
2C = 32 - 20
2C = 12
C = 12/2
C = 6
Answer:
19.6, B
Step-by-step explanation:
To solve, we need to figure out how many gallons of white paint she needs for every gallon of brown paint.
We are given this equation.
5 gallons of brown paint = 7 gallons of white paint
Divide both sides by 5.
1 gallon of brown paint = 7/5 gallons of white paint = 1.4 gallons of white paint
Now, using this, substitute 14 into the left side.
14 gallons of brown paint = 1.4 * 14 gallons of white paint
14 gallons of brown paint = 19.6 gallons of white paint
Thus, the answer is B, 19.6 gallons
By using Geogebra online graphing calculator, the solution to this system of inequalities are plotted in the image attached below.
<h3>What is an inequality?</h3>
An inequality is a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:
- Less than or equal to (≤).
- Greater than or equal to (≥).
Given the following system of inequalities:
3y > 2x + 12 ⇒ 3y - 2x > 12
2x + y ≤ -5
By using Geogebra online graphing calculator, the solution to this system of inequalities are plotted in the image attached below.
Read more on inequalities here: brainly.com/question/24372553
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First, find the expected number of scooters rented per month:
As the data is symmetrical, E(X) (the expected value) is the middle value. So, on average, 2.5 scooters should be taken per month.
His total costs were 5 * 3000 = $15,000
So, to break even, he needs to make $15,000.
He will be selling for 5 years, or 60 months.
As a result, he needs to make 15000/60 = $250/month
As he is selling 2.5 scooters on average, he needs to rent each for:
$250/2.5 = <u>$100/month</u>
Given:
Anju cut square of tin, of edge 3.7 cm, from a larger square of edge 6.3 cm.
To find:
The area of the remaining tin.
Solution:
Area of a square is:
Where, a is the edge of the square.
Area of the smaller square is:
Area of the larger square is:
The area of the remaining tin is:
Therefore, the area of the remaining tin is 26 sq. cm.
