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Furkat [3]
3 years ago
9

The function f(x) varies inversely with x and f(x)=0.5 when x = 0.3. What is f(x) when x = 2.4? A)5.76 B)0.0625 C)0.30 D)0.15

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
3 0

Answer:

B) 0.0625

Step-by-step explanation:

f(x) = k / x

f(x)=0.5 when x = 0.3

f(x) = k / x

0.5 = k / 0.3

Cross product

0.5 * 0.3 = k

k = 0.15

What is f(x) when x = 2.4?

f(x) = k / x

f(x) = 0.15 / 2.4

f(x) = 0.0625

The answer is B) 0.0625

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At 11:30 am the bottle is 1/4 of the way full . At what time will the bottle be 1/2 full
Marta_Voda [28]

Answer:

Step-by-step explanation:

11:35 or b

5 0
3 years ago
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Last year, a women's professional organization made two small-business loans totaling $28,000 to young women beginning their own
igor_vitrenko [27]

Answer:

$7,000 at a rate of 7% and $21,000 at a rate of 14%.

Step-by-step explanation:

Let x be amount invested at 7% and y be amount invested at 14%.

We have been given that a women's professional organization made two small-business loans totaling $28,000. We can represent this information in an equation as:

x+y=28,000...(1)

The interest earned at 7% in one year would be 0.07x and interest earned at 14% in one year would be 0.14x.

We are also told that the organization received from these loans was $3,430. We can represent this information in an equation as:

0.07x+0.14y=3,430...(2)

Form equation (1), we will get:

x=28,000-y

Upon substituting this value in equation (2), we will get:

0.07(28,000-y)+0.14y=3,430

1960-0.07y+0.14y=3,430

1960+0.07y=3,430

1960-1960+0.07y=3,430-1960

0.07y=1470

\frac{0.07y}{0.07}=\frac{1470}{0.07}

y=21,000

Therefore, an amount of $21,000 was invested at a rate of 14%.

x=28,000-y

x=28,000-21,000

x=7,000

Therefore, an amount of $7,000 was invested at a rate of 14%.

8 0
3 years ago
First two two terms of the given number sequence 3n + 1 are...​
PtichkaEL [24]

Answer:

the sequence begins as {4, 7, ... }

Step-by-step explanation:

a(n) = 3n + 1

The first term is a(1) = 3(1) + 1 = 4, and

the second term is a(s) = 3(2) + 1 = 7

So the sequence begins as {4, 7, ... }

5 0
2 years ago
Consider a TV set that consumes 120 W of electric power when it is on, and is kept on for an average of 6 h per day. For a unit
Andru [333]

The cost of electricity consumed by the TV per month is <u>$4.968</u>.

In the question, we are given that a TV set consumes 120W of electric power when switched on. It is kept on for a daily average of 6 hours per day. The number of days in the month is given to be 30 days. The cost per unit of electricity is 23 cents per kWh.

We are asked to find the cost of electricity the TV consumes in the month.

The daily energy consumed by the TV = Power*Daily time = 120*6 Wh = 720 Wh.

The monthly energy consumed by the TV = Daily energy*Number of days in the month = 720*30 Wh = 21600 Wh = 21600/1000 kWh = 21.6 kWh.

Hence, the total cost of electricity the TV consumes = Monthly energy*Per unit cost = 21.6*23 cents = 496.8 cents = $496.8/100 = $4.968.

Therefore, the cost of electricity consumed by the TV per month is <u>$4.968</u>.

Learn more about computing costs at

brainly.com/question/14277272

#SPJ4

3 0
1 year ago
in a class where a number of girls is 36% of the total number there are 48 boys how many students are there in the class
Pavel [41]

Step-by-step explanation:

girls=36%

boys=100%-36%

=64%

boys:48=64%

?=100%

*you cross multiply to get

75 as the total students

3 0
3 years ago
Read 2 more answers
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