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3 years ago

Suppose that y varies inversely with x, and y = 0.2 when x = 2. What is an equation for the inverse variation?

1 answer:

4 0

If y varies inversely with x:
y = k / x
0.2 = k / 2
k = 2 * 0.2
k = 0.4
Answer:
The equation for the inverse variation is:
y = 0.4 / x

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25+ -8 equals I really need help

Nimfa-mama [501]

Answer:

Step-by-step explanation:

Saying 25+ -8 is basically saying 25-8, and since 25 is the bigger number and it's positive, you get positive 17

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3 years ago

Read 2 more answers

The equation C = 30x+120 represents the cost of producing gaming chairs. The equation R = 50x represents the revenue generated b

ANEK [815]

Answer:

6 chairs

Step-by-step explanation:

The break even Point on gaming chairs can be expressed as :

Revenue = Cost

Revenue, R = 50x

Cost, C = 30x + 120

R = C

50x = 30x + 120

50 - 30x = 120

20x = 120

Divide both sides by 20

20x/ 20 = 120 / 20

x = 6

Hence, 6 chairs must be sold for the company to break even.

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3 years ago

COOKING Franklin is cooking a 3-pound turkey breast for 6 people. If the number of pounds of turkey varies directly with the num

Gwar [14]

<u>Answer-</u>

2, 4, and 8 people will need 1, 2, 4 pounds of turkey respectively.

<u>Solution-</u>

Given in the question, number of pounds of turkey varies directly with the number of people, i.e as the number of people increases or decreases, the pound of turkey also increases or decreases.

Taking,

x = number of people,

y = pounds of turkey.

This condition can be represented as,

$\Rightarrow y\ \alpha \ x\\\Rightarrow y=kx$

As given in the question, when x = 6 y = 3

$\Rightarrow 3=k\times 6$

$\Rightarrow k=\frac{3}{6}= \frac{1}{2}$

Now, putting the values of k in the equation, the equation becomes

$\Rightarrow y=\frac{1}{2}x$

Now, we can get the values of y or number of pounds of turkey needed by putting the given x or number of people.

All the calculations are shown in the attached table.

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3 years ago

A marathon is 26.2 miles long. There is a water station every 114 miles along the race route. How many water stations are needed

Aleks [24]

Answer:

I think 21

Step-by-step explanation:

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3 years ago

single die is rolled twice. Find the probability of rolling an oddodd number the first time and a number greater than 33 the sec

givi [52]

Answer:

$\frac{1}{4}$

Step-by-step explanation:

A single die is rolled twice, we have to find the probability of rolling an odd number in first throw and a number greater than 3 in the second throw.

a) Rolling an Odd number in first throw

A die has total 6 possible outcomes, out of which 3 are odd numbers i.e. 1,3 and 5

So, total number of possible outcomes = 6

Total Favorable outcomes (Odd numbers) = 3

Probability is defined as the ratio of favorable outcomes to total number of outcomes. So,

The probability of rolling an odd number would be = $\frac{3}{6} = \frac{1}{2}$

b) Rolling a number greater than 3 in second throw

Here again total possible outcomes = 6

Favorable outcomes (Numbers greater than 3 are 4, 5 and 6) = 3

So,

The probability of rolling a number greater than 3 = $\frac{3}{6} = \frac{1}{2}$

These two events(rolls) are independent of each other, so the overall probability of both events occurring would be the product of individual probabilities.

So,

Probability of rolling an odd number the first time and a number greater than 3 the second time = $\frac{1}{2} \times \frac{1}{2} = \frac{1}{4}$

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3 years ago