Answer:
The Prime Factorization of 80 is, 2 × 4 × 10, 2 × 2 × 2 × 2 × 5 and 2 × 4 × 10
Step-by-step explanation: They are correct, because they all equal 80. 2 × 4 × 10=80 and 2 × 4 × 10=80, and 2 × 2 × 2 × 2 × 5=80.
24 × 5=120, Therefore it's the only incorrect question.
Since she runs 6
miles each day and there 7 days per week, you will have to multiply 6 times 7.
But since you have to use distributive properties, multiply like this (6)(7)
6 is equal to 
Now turn 7 into a fraction, so its 
Now multipy (6)()
Multiply the numerators, so its 7 * 13 which gives you 91 and multiply the denominators so its 1 * 2 which gives you 2.
Put that back into a fraction as 
Divde it to change it to a mixed number and the answer is 45
Answer: 40%
Step-by-step explanation: What I like doing with problems like this is work backward, so that is how this explanation is going to work.
830*0.40=332 so that is how I got 40% now lets dig a little deeper.
How to find percent is take the whole and times it by the decimal of percent you want (eg. if 400 is my whole I want to find out what 30% of it is I would do 400*0.30)
So then we take our 830 times it by what we think best fits and that's how I solved it!
If you need any further help let me know!
The dimension of the box of the greatest volume that can be constructed in this way is 12x12x3 and the volume is 432.
<h3>
How to s
olve the d
imens
ion?</h3>
Let x be the side of the square to remove. Then the volume of the box is:
V(x) = (18 - 2x)² * x = 324x - 72x² + 4x³
To find the maximum volume, differentiate and set it to 0:
V'(x) = 324 - 144x + 12x²
0 = x² - 12x + 27
0 = (x - 9)(x - 3)
x = 3 or 9
When x = 3,
V"(x) =-144+24x
V"(3) =-144+72=-72<0
so volume is maximum at x=3
Therefore the box is 12x12x3 and the volume is 432.
Learn more about dimension on:
brainly.com/question/26740257
