Solve the inequality 1.6-(3-2y)<5.
1. Rewrite this inequality without brackets:
1.6-3+2y<5.
2. Separate terms with y and without y in different sides of inequality:
2y<5-1.6+3,
2y<6.4.
3. Divide this inequality by 2:
y<3.2
4. The greatest integer that satisfies this inequality is 3.
Answer: 3.
Answer:
<h2>The perimeter of the cross section is 30 centimeters.</h2>
Step-by-step explanation:
In this problem we have the intersection of a rectangular prism an a plane.
The dimensions of the rectangular plane are

Assuming the plane is cutting the prism horizontally, the cross section would have dimensions

Because only the height would be cut.
So, the perimeter of the rectangle cross-section is

Therefore, the perimeter of the cross section is 30 centimeters.
Answer:
(a)


(b)


(c)


Step-by-step explanation:
(a) This is a sequence of consecutive number



(b) This is a sequence of 2 to the power of n - 1. The next number is twice time of this number



(c) This is factorial sequence. Where the next number is this number multiplied by 



Answer:
4 ÷ 6/9 is also equal to 4 x 9/6. This is because when you divide by a fraction, you change the division sign to multiply and reverse the numerator and the denominator of the fraction. For example, if x/y was a fraction, it would become y/x. THIS IS ONLY DURING DIVISION!
So, we now that 4 ÷ 6/9 is equal to 4 x 9/6. 4 x 9/6 = (4x9)/6 = 36/6 = 6.
Answer:

Step-by-step explanation:
So, we are given:

First, we should immediately rule out 0 as an answer. This is because the if
, the equation would be undefined.

Now, cross multiply.


Divide everything by x (and we can do this safely because we already know x cannot be equal to zero).


We didn't run into any possibilities for extraneous solutions.