MATHEMATICS HIGH SCHOOL

A farm yard contains some pigs and some chickens. Altogether there are 60 heads and 200 legs. How many pigs are there in the yard?

Answers

Answer 1
Answer:

Answer:

40 pigs.

Step-by-step explanation:

p=pigs c=chickens.

4p=pigs have 4 legs.

2c=chickens have 2 legs.

4p+2c=200

p+c=60

Do the elimination method:

4p+2c=200

(-4)p+c=60

4p+2c=200

-4p-4c=-240

-2c=-40

c=20

p+20=60

p=60-20

p=40

Hope this helps!

BRAINLIEST would help me a lot:)

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A student constructs the angle bisectors of a triangle and then uses their intersection point as the center of a circle. The student has constructed which of the following?A. Concentric circles of a triangle
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Answers

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Answers

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you have 160 yards of fencing to enclose a rectangular region. find the maximum area of the rectangular region

Answers


I know that for a fixed perimeter, the shape that encloses the greatest area
is a circle, and the rectangle that encloses the greatest area is a square. 
Sadly, I don't know how to prove it to you without Calculus.

If you'll take my assertion that the greatest rectangle is a square, and accept
it on faith, then you should use your 160-yd of fence to enclose a square with
40-yd sides.  The area inside it is (40 x 40) = 1600 square yards.

Here are some other choices. 
Each one has the same perimeter ... 160 yards.
This table kind of suggests to you that a square is the rectangle
       with the greatest area.  (But it doesn't prove it.)

Length         Width         Area
  35-yd           45-yd         1,575 square yards              
  30                50              1,500
  25                55              1,375
  20                60              1,200
  15                65                 975
  10                70                 700
    5                75                 375
    3                77                 231
    2                78                 156
    1                79                   79
  2-ft           79-yd 1-ft           52.89
  1-ft           79-yd 2-ft           26.56
  1-inch      79-yd 35-in          2.19 square yards

With the same 160-yd of fence, you could have squeezed in some more
area by setting the fence down in a circle with circumference = 160-yd.
The area inside the circle would be

       Area = (pi) (radius)² = (circumference)² / (4 pi) = 2,037.2 square yards

The area of a circle is always (4 / pi) times the area of the square with the
same perimeter.  That's about 27.3% more area than the square.
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The product of two integers is 50. one integer is twice the other. find the integers.

Answers

(1) -5*(-10)=50
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use what they are telling. 

a*b=50 (one integer times the other give you a product of 50. we're randomly calling these integers "a" and "b")

2a=b (one integer is twice the amount of the other. we're randomly selecting "b" to be twice the amount of "a")

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which because 2a=b we know that b=10 
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