I hope choice must be given so that we can select which equation can be used to find its value.
I am showing the steps for this problem.
Given that, x represents the width of the rectangle and the perimeter of the rectangle is 28 inches.
Let's assume y represent the length of the rectangle.
Formula to find the perimeter of a rectangle is,
p= 2 * length + 2 * width.
Hence, we can set up an equation as following.
2 y + 2x = 28.
Hope this is your question, if not I think you will, still be able to
find an answer of your question based on this solution.
Hope this helps you!.
Answer:
5 pigs
Step-by-step explanation:
A farmhouse shelters 16 animals, some are pigs, and some are ducks. Altogether there are 42 legs. How many pigs are there?
Let us represent:
Number of pigs = x
Number of ducks = y
Our system of equations is given as:
A farmhouse shelters 16 animals, some are pigs, and some are ducks.
x + y = 16...... Equation 1
x = 16 - y
Altogether there are 42 legs.
Ducks have 2 legs(feet) , pigs have 4 legs,
4x + 2y = 42..... Equation 2
We substitute
16 - y for x in Equation 2
Hence:
4(16 - y) + 2y = 42
64 - 4y + 2y = 42
Collect like terms
- 4y + 2y = 42 - 64
-2y =- 22
y = -22/-2
y = 11 ducks
Solving for x.
x = 16 - y
x = 16 - 11
x = 5 pigs
Therefore, we have 5 pigs
Hello :
<span>√(4x+13) = 2x-1......(1)
note : if ( a=b) so (a² = b²)
if : (</span>√(4x+13) )²= (2x-1)² so : 4x+13 = 4x²-4x+1
4x²-8x-12 = 0
x²-2x-3 = 0
(x+1)(x-3) = 0
x+1 = 0 or x-3=0
x= -1 or x=3
if : x= -1 : <span>√(4(-1)+13) = 2(-1)-1
</span>√9 =-3 but √9 =3
3 = -3 impossible ( -1 is not solution of equation (1)
if : x = 3 : √(4(3)+13) = 2(3)-1
5 = 5 ( right) conclusion : one solution : 3
Answer:
<em>D. 69 Km</em>
Step-by-step explanation:
<u>Scaling</u>
Maps usually represent real areas on the field, but since they cannot fit in pieces of paper, we use scales where sizes and distances are all proportional to the real measurements.
On the map of the question, we know 1 cm represents 30 Km. It means that we can know approximate real distances by measuring the distances on the paper or blueprints.
Two cities are 2.3 cm apart on the map, it means that they are really 2.3*30 =69 Km apart