Marie states that any integer greater than 4 will always get an even number of factors.
This can be proven wrong by (for example) 12.
12 has these factors:
1 x 12
2 x 6
3 x 4
12 has an ODD number of factor pairs.
Another example is 28.
28:
1 x 28
2 x 14
4 x 7
28 has an odd number of factor pairs.
I hope this helps!
Step-by-step explanation:
height= 4b
length = 2 + b
volume = 60in³
or, l ×b × h = 60in³
or, (2+b) × b × 4b = 60in³
or, 4b²(2+b) = 60in³
or, 8b² + 4b³ = 60
or, 2b² + b³ = 15
or, b³ + 2b² -15= 0
b= 1.95
l= 2+1.95=3.95
h= 4×1.95 = 7.8
<h3>
Answer: x = 40</h3>
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Work Shown:
A+B+C = 180 ..... three angles of any triangle add to 180
(2x+10)+(x)+(2x-30) = 180
5x-20 = 180
5x = 180+20 .... adding 20 to both sides
5x = 200
x = 200/5 ... dividing both sides by 5
x = 40
This is the measure of angle B
We can stop here.
If you need to know the values of the other angles, then,
- angle A = 2x+10 = 2*40+10 = 90
- angle C = 2x-30 = 2*40-30 = 50
Then note how A+B+C = 90+40+50 = 90+90 = 180 which helps confirm our answer.
≥The solution of an inequality is an interval, i.e. a range.
To prove that the interval found as solution, you must consider several cases.
1) In the case that the ineguailty is ≥ or ≤, first use the limits of the interval to prove they are valid solutions. This is, replace the limit values, one at a time, and verifiy the inequality.
2) If the sign is ≥ or > use a value to the right of the limit value to show that the values to the right are solution, and use a value to the left to show that they are not solution.
3) If the sign is ≤ or <, use a value to the left of the limit value to show that it is a solution and a value to the right of the limit value to show that it is not a solution.
Answer:
Step-by-step explanation:
Given
Required [Missing from the question]
What is his balance after purchasing the items
First, calculate total cost of items
The balance is then calculated as:
