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4 years ago

What is the cost of lighting a 500-watt outdoor light for 8 hours, if electricity costs 7.5 cents per kilowatt-hour?

Mathematics

1 answer:

alina1380 [7]4 years ago

3 0

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Two distinct circles that are tangent to each other at a common point. How many tangent lines can be drawn that touch both circl

leva [86]

The answer

The two circles touch each other from outside. They have three common tangents. for more explanation please look at the figure in attached file

each line is tangent with the two circles that are also tangents.

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4 years ago

It takes light from the Sun 3.25 minutes to reach Mercury. How far away is the planet from the Sun (in km)? The speed of light,

shutvik [7]

Answer:

66528 km

Step-by-step explanation:

1 sec = 3*105

60 sec = 1 min = 3*60*105 km

3.25 min-?

3 .25×60×105

4 0

2 years ago

If y varies inversely with the square of x, and y = 26 when x = 4, find y when x = 2. Question 20 options: A) 52 B) 13 C) 208

babymother [125]

I believe your answer is A.

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3 years ago

Which algebraic expression is a trinomial?

tangare [24]

Answer:

D. x^6 - x + √6

Step-by-step explanation:

Last option:

⇒ x^6 - x + √6

Cannot be simplified further and has three terms.

Therefore is a trinomial.

7 0

2 years ago

There are some nickels, dimes, and quarters in a large piggy bank. For every 2 nickels there are 3 dimes. For every 2 dimes ther

rodikova [14]

Answer: a) Number of nickels, dimes, and quarters are 80, 120, 300 respectively.

b) The coins are worth of 91 dollars i.e. $91 in the piggy bank.

Explanation:

Since we have given that

For every 2 nickels there are 3 dimes ,

So, their ratio will be 2:3

and for every 2 dimes there are 5 quarters.\,

So, their ratio will be 2:5

Now, we'll first find the ratio of nickles to dimes to quarters i.e.

Nickle Dimes Quarters

2 3

2 5

So, it becomes ,

Nickle : Dimes : Quarters

2×2 : 3×2 : 3×5

4 : 6 : 15

Now, let the number of nickle be 4x

Let the number of dimes be 6x

Let the number of quarters be 15x

According to question,

$4x+6x+15x=500\\\\25x=500\\\\x=\frac{500}{25}=20$

So, number of nickels is given by

$4x=4\times 20=80$

Number of dimes is given by

$6x=4\times 20=120$

Number of quarters is given by

$15x=4\times 20=300$

As we know that

$1\ nickel=5\ cents\\\\1\ dime=10\ cents\\\\1\ quarter=25\ cents$

So, According to our question, we get

$80\times 5+120\times 10+300\times 25=400+1200+7500=9100\ cents\\\\1\ cent=0.01\ dollar\\\\9100\ cents=9100\times 0.01\ dollars=91\ dollars.$

Hence,

a) Number of nickels, dimes, and quarters are 80, 120, 300 respectively.

b) the coins are worth of 91 dollars i.e. $91 in the piggy bank.

7 0

3 years ago