1/4 - 1/6 = (6-4)/24 = 2/24 = 1/12
1/3 - 1/4 = (4-3)/12 = 1/12
Answer:
15 units
Step-by-step explanation:
The distance between two points can be found using the following formula:

Given points:
(-7, 5) and (2, -7)
<u>where:</u>
- x₁ = -7
- x₂ = 2
- y₁ = 5
- y₂ = -7
Substitute these points into the formula and simplify:
![\sf d=\sqrt{(2-(-7))^2+((-7)-5)^2} \ \textsf{[simplify the radicand]}\\\\ d=\sqrt{(2+7)^2+(-12)^2} \ \textsf{[simplify]}\\\\d=\sqrt{(9)^2+(-12)^2} \ \textsf{[evaluate the power]}\\\\d=\sqrt{81+144} \ \textsf{[add]}\\\\d=\sqrt{225}\ \textsf{[simplify]}\\\\d=15](https://tex.z-dn.net/?f=%5Csf%20d%3D%5Csqrt%7B%282-%28-7%29%29%5E2%2B%28%28-7%29-5%29%5E2%7D%20%5C%20%5Ctextsf%7B%5Bsimplify%20the%20radicand%5D%7D%5C%5C%5C%5C%20d%3D%5Csqrt%7B%282%2B7%29%5E2%2B%28-12%29%5E2%7D%20%5C%20%5Ctextsf%7B%5Bsimplify%5D%7D%5C%5C%5C%5Cd%3D%5Csqrt%7B%289%29%5E2%2B%28-12%29%5E2%7D%20%5C%20%5Ctextsf%7B%5Bevaluate%20the%20power%5D%7D%5C%5C%5C%5Cd%3D%5Csqrt%7B81%2B144%7D%20%5C%20%5Ctextsf%7B%5Badd%5D%7D%5C%5C%5C%5Cd%3D%5Csqrt%7B225%7D%5C%20%5Ctextsf%7B%5Bsimplify%5D%7D%5C%5C%5C%5Cd%3D15)
The distance between the two points is 15 units.
Learn more here:
brainly.com/question/27708708
brainly.com/question/21152362
The total space the water dispenser will take is equal to their volume.
Volume of one water dispenser = Length x Width x Height
So,
Volume = 4 x 8 x 14 = 448 in³
This is the volume on 1 dispenser. The volume of 3 dispensers will be = 3 x 448 = 1344 in³
This means, the 3 water dispensers will take 1344 cubic inches of space in Sid's refrigerator. So the correct answer is Fourth option
a. It is rewritten as 15/4 + 4⅓
b. The fraction would be positive
c. The solution as a mixed fraction is: 8
<h3>What is a Mixed Fraction?</h3>
A mixed fraction is a number that has a combination of a fraction part and a whole number. For example, 2⅓ is a mixed fraction.
Given the expression, 15 / 4 – (-4⅓), the steps below can be used to solve the fractional expression as a mixed fraction:
a. Rewrite as addition:
15/4 + 4⅓ [note, minus multiplied by minus = plus]
b. The answer would be positive because we are adding two positive fractions.
c. Solve as mixed fraction as shown below:
15/4 + 13/3
The common denominator of the two fractions is 12, thus:
= [3(15) + 4(13)]/12
= [45 + 52]/12
= 97/12
Express as mixed fraction:
97/12 = 8
Learn more about mixed fractions on:
brainly.com/question/26836561
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Answer:
the answer is 3
Step-by-step explanation:
because it shows that number more than once