(3x+4)+(5x2-1)+(2x+6)
remove unnecessary parenthesis
3x+4+(5x2-1)+(2x+6)
3x+4+(10-1)+2x+6
subtract the numbers
3x+4+9+2x+6
collect the like terms
5x+4+4+9+6
5x+19
How comfortable are you writing this whole paragraph goddam I could never divide 100
Answer:
1 and 1/6 cups of flour
Step-by-step explanation:
We need the fractions to have common denominators so multiply 1/2 by 3 and 2/3 by 2 to get the common denominator of 6.
1/2 x 3/3 = 3/6
2/3 x 2/2 = 4/6
Add the two fractions
3/6 + 4/6 = 7/6 or 1 & 1/6
9514 1404 393
Answer:
72
Step-by-step explanation:
The triangles are said to be similar. (ΔNPQ ~ ΔRSQ) That means corresponding sides have the same ratio:
NP/RS = NQ/RQ = PQ/SQ = 24/32 = 21/28 = 3/4
This ratio, or scale factor, also applies to the perimeters of the two triangles.
perimeter NPQ / perimeter RSQ = 3/4
Using the given expressions for the perimeters, we have ...
(7x +2)/(10x -4) = 3/4
We can solve this equation in the usual way to find the value of x. Then we can use that value to find the perimeter of ΔNPQ.
4(7x +2) = 3(10x -4) . . . . . multiply both sides by 4(10x -4)
28x +8 = 30x -12 . . . . . eliminate parentheses
20 = 2x . . . . . . . . . . . add 12-28x to both sides
10 = x . . . . . . . . . . . divide both sides by 10
The perimeter of ΔNPQ is ...
7x +2 = 7(10) +2 = 72
The perimeter of triangle NPQ is 72 units.
Answer:
Yes, it can.
Step-by-step explanation:
To know if you can fill all the water balloons with the tank, the first thing is to calculate the volume of each one.
Volume of the tank, is a cylinder, whose volume is given as follows:
Vc = Pi * Rc ^ 2 * h
The radius of the cylinder has a value of 12 inches and the height of 20 inches. Thus:
Vc = 3.14 * (12) ^ 2 * 20 = 9043.2 inches ^ 3
Now, the volume of each globe that is a sphere is given by the following equation:
Ve = (4/3) * Pi * Re ^ 3
Being the radius of the sphere of 2, we have to:
Ve = (4/3) * 3.14 * 2 ^ 3 = 33.5 inches ^ 3
Now to know if you can fill all the balloons, we calculate the volume ratio of the tank and a balloon.
Vc / Ve = 9043.2 /33.5 = 269.95
Therefore, it can fill the 250 balloons because it has the capacity to carry approximately 269 balloons.
