So 22.5 per barrel
so 22.5
x represents the number of 22.5 barrels
y represents the number of 35 barrels
so
x+y=1250
then find the total cost
1250 barrels
27.5 per so mutiply by 1250 and get 34375 total cost
22.5x+35y=34375
we have 2 senctances
x+y=1250
22.5x+35y=34375
elimination
mulitply first equation by -35 to clear y
-35x-35y=-43750
add to second equation
-35x-35y=-43750
<u>22.5x+35y=34375 +</u>
-12.5x+0y=-9375
-12.5x=-9375
multiply -1
12.5x=9375
divie both sides by 12.5
x=750
subsitute
x+y=1250
750+y=1250
subtract 750
y=500
750 barrells of the 22.5 oil should be included and
500 barrells of the 35 oil should be included
Area of a triangle = (1/2)*base*height
For both of the triangles, you have the base (8.8 for the triangle on the left, 7.6 for the triangle on the right) and the side lengths, but not the height. But since both are isosceles triangles, you can find the height using the pythagorean theorem.
5.
First divide the triangle vertically into two triangles (see attached picture). Now you have two right triangles, you can apply the pythagorean theorem on either one of them to find the height. The pythagorean theorem says that for a right triangle,
, where c is the hypotenuse and a and b are the sides of the triangle.
Substituting the given values and rounding to nearest tenth:

Now that you have the height, you can find the area of the entire triangle.
A = (1/2)*base*height
A = (1/2)*8.8*9.0 = 39.6
6.
Same procedure.

A = (1/2)*base*height
A = (1/2)*7.6*9.2 = 35.0
Yes, that like will divide the side in proportion