Answer:
5 chickens
Step-by-step explanation:
Let's set chickens and pigs with variables "c" and "p" respectively.
We know there a 16 animals in all, so there are:
c+p=16
We know there are 54 legs and chickens have 2 legs and pigs have 4 legs each:
2c+4p=54
Now we have our system of equations:
c+p=16
2c+4p=54
We are trying to find the number of chickens, so we write the first equation in respect to c.
p=16-c
Substituting the first derived equation to equation two:
2c+64-4c=54
Simplifying:
64-2c=54
2c=10
c=5
So there are 5 chickens.
The approximate length of line segment XY is 20.8 units
<h3>
How to calculate the distance between two points</h3>
The formula for calculating the distance between two points is expressed as:
A = √(x2-x1)²+(y2-y1)²
Given the coordinate points X(–12, –6) and Y(5, 6). The distance between them is expressed as;
XY = √(5+12)²+(6+6)²
XY = √(17)²+(12)²
XY = √269 + 144
XY = 20.8
Hence the approximate length of line segment XY is 20.8 units
Learn more on distance formula here; brainly.com/question/661229
<span>8(3x + 6) + 13---expand using distributive property
=24x + 48+13 ...combine like terms
=24x +61....simplify
answer is C.24x + 61
hope it helps</span>
Answer:
Step-by-step explanation:
pyramid has a height of 5 inches and a volume of 60 cubic inches. Select all figures that could be the base for this pyramid.
A:
a square with side length 6 inches
B:
a 3 inch by 4 inch rectangle
C:
a 4 inch by 9 inch rectangle
D:
a circle with radius 4 inches
E:
a right triangle with one side 5 inches and the hypotenuse 13 inches
F:
a hexagon with an area of 36 square inches