Given expression:
2x(x + 7)-(3x +1);
To distribute implies to spread a process equally in an expression. Often times, the distributive property is used for expressions inside parentheses;
2x(x + 7)-(3x +1)
Distribute 2x over the first parentheses;
the negative sign distributes over the second part
= (2x² + 14x) - 3x -1
= 2x² + 14x -3x -1
Add like terms;
= 2x² + 11x -1
This expression 2x² + 11x -1 is equal to the given one
Answer:
28 degrees
Step-by-step explanation:
A triangle is always equal to 180 degrees so add the degrees together
40+2x+3x=180
40+5x=180
5x/5=140/5
x=28
Answer:
Volume of composit figure= 4834.14 cm^3
Step-by-step explanation:
here's your solution
=> Radius of hemisphere = 9 cm
==> volume of hemisphere = 2/3πr^3
==> volume of hemisphere = 2/3*22/7* 9^3
==> volume = 1526.04 cm^3
=> Radius of cylinder = 9 cm
=> Height of cylinder = 13 cm
==> volume of cylinder = πr^2h
==> volume of cylinder = 22/7*9^2*13
==> volume of cylinder = 3,308.1 cm^3
Volume of composit figure = 1526.04 + 3308.1
= 4834.14 cm^3
hope it helps
Answer:
2.5 miles
Step-by-step explanation:
The relation between time, speed, and distance is ...
distance = speed × time
We can define t to be Stanley's swimming time. Then t+0.5 was his running time, and 2(t+0.5) was his biking time. His total distance covered is ...
64 = 9(t +0.5) +16(2(t +0.5)) +2.5(t)
64 = 43.5t +20.5 . . . . . . . simplify
43.5 = 43.5t . . . . . . . . . subtract 20.5
t = 1 . . . . . . . . . . . . . . divide by the coefficient of t
Stanley swam for 1 hour, so the distance he covered while swimming was ...
(2.5 mi/h)(1 h) = 2.5 mi
Stanley covered 2.5 miles while swimming.
_____
<em>Additional comment</em>
Stanley ran for 1.5 hours, covering 9×1.5 = 13.5 miles. He biked for 3 hours, covering 16×3 = 48 miles. His total distance was 2.5 +13.5 +48 = 64 miles, as given.
Answer:
Step-by-step explanation:
