To multiply a whole number by a fraction, find the total number of “pieces” (by multiplication). This means you multiply the whole number and the top number (numerator) of the fraction. happens to be the whole number 6.
Answer:
-15
Step-by-step explanation:
We proceed as follows;
In this question, we want to fill in the blank so that we can have the resulting expression expressed as the product of two different linear expressions.
Now, what to do here is that, when we factor the first two expressions, we need the same kind of expression to be present in the second bracket.
Thus, we have;
2a(b-3) + 5b + _
Now, putting -15 will give us the same expression in the first bracket and this gives us the following;
2a(b-3) + 5b-15
2a(b-3) + 5(b-3)
So we can have ; (2a+5)(b-3)
Hence the constant used is -15
change 10 into a fraction and get 10/1 and then turn 2 1/2 into a fraction which is 5/2 and then multiply 10/1 by 2/5 because you need the reciprocal of 5/2 and get 20/5 which is 4.
Answer:
980.18 cm^3
Step-by-step explanation:
Volume of cylinder w/out spheres = pi r^2 h
= pi 8^2 *6
now subtract the volume of the TWO spheres
2 * 4/3 pi * 3^3
for result = 980.18 cm^3
There is a property that states that vertical angles are congruent with each other. By definition, vertical angles are opposite angles when two intersecting lines are drawn. From the figure, angle (3y - 30) is equal to angle (2x + 4). But first, let's determine x. One revolution is equal to 360°. So,
360 = 2(2x + 4) + 2(4x - 6)
Solving for x,
x = 91/3
Now, solving for y:
3y - 30 = 2x + 4
3y - 30 = 2(91/3) + 4
y = [2(91/3) + 4 + 30]/3
y = 31.56