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vladimir1956 [14]
3 years ago
14

Suppose that w and t vary inversely and that t = 5/12

Mathematics
1 answer:
Svetlanka [38]3 years ago
8 0

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}

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–3x + 1 + 10x = x + 4
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Angie has to fill in a reading log for her English class. She is required to read a total of 10 and 5 over six hours a week. On
JulijaS [17]

Given:

She is required to read a total = 10\dfrac{5}{6} hours a week.

Monday she read 1\dfrac{1}{3} hours.

Tuesday she read \dfrac{3}{4} of an hour.

Thursday she read 3 hours.

To find:

The total hours does she still need to read in order to get full credit.

Solution:

Total time = 10\dfrac{5}{6} hours a week.

Total time she already read =1\dfrac{1}{3}+\dfrac{3}{4}+3 hours

                                              =\dfrac{1\times 3+1}{3}+\dfrac{3}{4}+3 hours

                                              =\dfrac{4}{3}+\dfrac{3}{4}+3 hours

                                              =\dfrac{16+9+36}{12} hours

                                              =\dfrac{61}{12} hours

Now,

Remaining time = Total time - Total time she already read

                         =10\dfrac{5}{6}-\dfrac{61}{12}

                         =\dfrac{65}{6}-\dfrac{61}{12}

                         =\dfrac{130-61}{12}

                         =\dfrac{69}{12}

                         =\dfrac{23}{4}

                         =5\dfrac{3}{4}

Therefore, the required time is  5\dfrac{3}{4} hours.

8 0
3 years ago
Please help asap!!!!
Neporo4naja [7]

Answer:

1) Area = 12cm²

2) x = 5cm

Surface area : 69cm²

Step-by-step explanation:

Opposites sides in a rectangle would equal the same.

so Top/bottom = 20+20=40

Front/back = 15+15=30

40+30=70cm²

94-70=24cm² for left and right side 24÷2=12cm²

2) Those lines represents what side it is equal too which also means the same.

3cm, you know that base x height = surface area so surface area ÷ height = base

15/3=5cm

x=5cm

Formula : Base x Height = One surface area

Front/Back= 15+15=30

Top/bottom = 5x3 = 15+15=30

side/side = 3x3=9

30+30+9=69cm²

7 0
3 years ago
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