Explain how to find the greatest common factor of 3 numbers
1 answer:
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Answer:
Step-by-step explanation:
Part A
We will use the slope intercept form of the line and then convert later.
Equation
y = mx + b is the general form
Givens
Two data points
(4,180)
(9,325)
Solution
325 = 9x + b
<u>180 = 4x + b</u> Subtract
145 = 5x Divide by 5
145/5 = 5x/5 Do the division
29 = x This represents the cost / day
180 = 4x + b Substitute x = 29 to find b
180 = 4*29 + b Combine
180 = 116 + b Subtract 116 from both sides.
180 - 116 = b
64 = b
Solution for y = mx + b
y = 29x + 64
In Standard form this is
- 29x + y = 64 But the first number must be plus
29x - y = - 64 <<<< Answer A
Part B
y = 29x + 64
f(x) = 29x + 64
Part C
The graph is shown below. Various points are filled in using y = 29x + 64. The y intercept is (0,64) which is labeled. Let x = 1 , 2, 3, 4, ... 10 (which is arbitrary). This may be more easily done on a spreadsheet if you know how to use one to make graphs.
Answer:
Frank can put 5 cubes in the box.
Step-by-step explanation:
Formula:
Mass = Volume × density.
1 cubic centimetre = 0.001 liter= 1 millilitre
Given that,
Frank purchase a new ice box having 2 kg capacity.
So,the mass of the cubes is 2 kg.
Each ice cubes measured 3.5 cm by 3.5 cm by 3.5 cm.
The volume of a cube is =
The volume of a each ice cubes is = cm³
= 42.875 ml
The ice cubes have a density of 0.914 g/ml
The mass of each cubes are
=volume of each ice cubes × density
=42.875 ml ×0.914 g/ml
=39.18775 gram.
Let x number of ice cubes he can put in the box.
The mass of x cubes is = 39.18775x grams.
2 kg= 2,000 gram [ since 1 kg= 1000 gram]
According to the problem,
39.18775x=2,000
Frank can put 5 cubes in the box.
Answer: 2908.92435 inches.
Step-by-step explanation for shape 1: A = 2(wl + hl + hw) = 2 · (30 · 13 + 13 · 13 + 13 · 30) = 1,898 inches.
Step-by-step explanation for shape 2:
Using the formulas:
A=2AB+(a+b+c)h
AB=s(s﹣a)(s﹣b)(s﹣c)
s=a+b+c
2
Solving for A:
A=ah+bh+ch+1
2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=9·30+13·30+9·30+1
2·﹣94+2·(9·13)2+2·(9·9)2﹣134+2·(13·9)2﹣94≈1010.92435
Step-by-step explanation for total volume: 2908.92435 inches.
