Answer:
=24x+3y
Step-by-step explanation:
6(5x+2y)−3(2x+3y)
Distribute:
=(6)(5x)+(6)(2y)+(−3)(2x)+(−3)(3y)
=30x+12y+−6x+−9y
Combine Like Terms:
=30x+12y+−6x+−9y
=(30x+−6x)+(12y+−9y)
=24x+3y
Answer:
192 cubic centimeters
Step-by-step explanation:
The first step is to find the area of the triangular base. The formula for the area of a triangle is bh/2, where b is the length of the base and h is the length of the height. Plugging in the dimensions you are given, you get 6*4/2=12 square centimeters. Multiplying this by the height of the prism, or 16, you get 12*16=192. Hope this helps!
I believe that the answer is x=2.
Solve the following system:
{3 x - 5 y = 7 | (equation 1)
{10 y - 4 x = 16 | (equation 2)
Swap equation 1 with equation 2:
{-(4 x) + 10 y = 16 | (equation 1)
{3 x - 5 y = 7 | (equation 2)
Add 3/4 × (equation 1) to equation 2:
{-(4 x) + 10 y = 16 | (equation 1)
{0 x+(5 y)/2 = 19 | (equation 2)
Divide equation 1 by 2:
{-(2 x) + 5 y = 8 | (equation 1)
{0 x+(5 y)/2 = 19 | (equation 2)
Multiply equation 2 by 2:
{-(2 x) + 5 y = 8 | (equation 1)
{0 x+5 y = 38 | (equation 2)
Divide equation 2 by 5:
{-(2 x) + 5 y = 8 | (equation 1)
{0 x+y = 38/5 | (equation 2)
Subtract 5 × (equation 2) from equation 1:
{-(2 x)+0 y = -30 | (equation 1)
{0 x+y = 38/5 | (equation 2)
Divide equation 1 by -2:
{x+0 y = 15 | (equation 1)
{0 x+y = 38/5 | (equation 2)
Collect results:
Answer: {x = 15
{y = 38/5 or 7.6 decimal
