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Readme [11.4K]
3 years ago
5

1/3h-4(2/3h-3)=2/3h-6

Mathematics
1 answer:
Wewaii [24]3 years ago
3 0
H equals/stands for 6
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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
Melania walked her dog 2 1/5 miles. Cathy walked her dog 1 3/4 times as far as Melania did. How many miles did Cathy walk her do
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Make the fractions improper to multiply.2 1/5 becomes 11/5 and 1 3/4 becomes 7/4. multiply the numerators then multiply the denominators. you get 77/20, which is simplest form. don't let teachers feed you that bs about it having to be a mixed number. an improper fraction is way more useful.
5 0
3 years ago
What is the product of 58 and 1,000
zysi [14]
58 * 1,000 = 58,000 its multiplication

5 0
3 years ago
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Sam went to a pizza place with 2 friends. They ordered a large mushroom pizza for $12.60 and a garden salad for $3.30. They also
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Answer:

$4.45

Step-by-step explanation:

there you go bud

6 0
3 years ago
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Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 45 degrees at midnig
Paraphin [41]

Answer:

D = 9sin(2π(t + a)/24) + 45

Step-by-step explanation:

Let's find the average temperature;

(54 + 36)/2 = 45°

Amplitude = 54 - 45 = 9

From the wave equation, we can write the temperature as;

D = 9sin(2π(t + a)/24) + 45

Where;

D is the temperature

t is the time in hours after midnight

a is a "phase" that is used to set the time at which temperature(D) occurs

5 0
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