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natka813 [3]
3 years ago
8

1

Mathematics
1 answer:
tester [92]3 years ago
4 0

Answer:

B. 4.5

Step-by-step explanation:

108 divided by 2 = 54

54 feet into inches is 4.5

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Suppose that w and t vary inversely and that t = 5/12
Svetlanka [38]

Answer:

Option B. t=5/3w ;1/3

Step-by-step explanation:

We are told that w varies Inversely with t thus generally speaking w∝\frac{1}{t}  since they are inverted, <u>otherwise</u> if they were proportionally varied then w∝t. This means that there is a constant value ( a ) for which w is inversely proportional to t and can be mathematically expressed as:

w=\frac{a}{t}        Eqn. (1)

Now since we are given the values of w=4 and t=\frac{5}{12}, we can plug them in Eqn. (1) and find our constant of proportionality a as follow:

w=\frac{a}{t}\\ \\a=wt\\\\a=(4)(\frac{5}{12} )\\\\a=\frac{5}{3}

Now that we have our constant we can find the new t value for the second value of w=5 as follow:

w=\frac{a}{t} \\\\t=\frac{a}{w}\\ \\t=\frac{\frac{5}{3} }{5}\\\\t=\frac{5}{15}\\ \\t=\frac{1}{3}\\

Therefore based on the options give, we can see that Option B. is correct since

t=\frac{5}{3w} and for w=5, then t=\frac{1}{3}

8 0
3 years ago
Identify the domain and range of the relation:<br> (-5,-3), (-2,1), (1,4), (2,5)
jonny [76]

Domain is the x-coordinate and range is the y - coordinate

\therefore \: domain =  \{ - 5, \:  - 2, \: 1, \: 2 \} \\  \\ \&\: range =  \{  - 3, \: 1, \: 4, \: 5\}

3 0
3 years ago
Order each set of integers from least to greatest; -55, 143, 18, -79, 44, 101
pickupchik [31]
-79, -55, 18, 44, 101, 143
3 0
3 years ago
Read 2 more answers
Heron’s formula: Area = square root 5(5-a)(5-b)(5-c) What is the area of triangle DFG? Round to the nearest whole square unit. 2
timurjin [86]
To do this problem, you will need to know the side lengths of the triangle. If you have those, just plug them in for a, b, and c and evaluate the square root.

Here is an example. If the sides are 3, 4, 5.
It would be:

A= \sqrt{6(6-3)(6-4)(6-5))}

The 6 is in the formula because it is the semi-perimeter (half).
3 0
3 years ago
Read 2 more answers
2(4x – 3) ≥ –3(3x) + 5x?
tatyana61 [14]
Treat the 'more than or equal to' sign as a '=' then work it out like an ordinary algebraic equation.    
2(4x-3) = -3(3x)+5x
8x-6 = -9x+5x
-6 = -9x+5x-8x
-6 = -12x
-6/-12 = x
1/2 = x
Then swap the '=' back for the other sign. This works for all of the '<' type signs
8 0
3 years ago
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