P = pizza and c =cakes
Last week: 8p + 13c = 134
Today: 28p + 4c = 220
Let’s take the formula for today and subtract 28p from each side to isolate the 4c.
4c = 220 - 28p
Now divide each side by 4
c = (220 - 28p)/4
Simplify to c = 55 - 7p
Now go to the formula for last week, substitute the c for 55-7p
8p + 13(55 - 7p) = 134
8p + 715 - 91p = 134
Simplify to 715 - 83p = 134
Let’s add 83p to each side.
715 = 134 + 83p
Subtract 134 from each side
581 = 83p
Divide each side by 83
p = $7
Hello,
tan 60°=√3
d/39=tan 60°==>d=39/√3=39√3/3=13√3=22,516660498... (m)
6x + 4 - x = 2(x+1)
First combine like terms on the left side:
6x-x - 5x
So you have 5x+4 on the left side.
Then use the distributive property on the right side:
2(x+1) becomes 2x +2
Now you have 5x +4 = 2x +2
Subtract 4 from each side:
5x = 2x -2
Subtract 2x from each side:
3x = -2
Divide both sides by 3:
x = -2/3
When we add or subtract polynomials, the addition or subtraction is applied to the coefficients of the terms of equal powers.
For the given polynomials, we are required to do subtraction as follows:
(-4.1 x^2 + 0.9 x - 9.8) - (1.7 x^2 - 2.4 x - 1.6)
= -4.1 x^2 + 0.9 x - 9.8 - 1.7 x^2 + 2.4 x + 1.6
= (-4.1-1.7) x^2 + (0.9+2.4) x + (-9.8+1.6)
= -5.8 x^2 + 3.3 x - 8.2
The final expression (solution) is:
-5.8 x^2 + 3.3 x - 8.2
Answer:
141.3 cubic inches
Step-by-step explanation:
The volume of a cylinder is found using the volume formula 
.
The radius is half the diameter 6 which is 3.
Substitute h=5 and r = 3.
