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mestny [16]
2 years ago
11

Rameen’s heating bill is $5.42 per month plus $1.08 per therm. How many therms can Rameen use if he wants his heating bill to be

a maximum of $87.50? Write the solution in interval notation.
Mathematics
1 answer:
hammer [34]2 years ago
3 0

Write and solve an inequality:

Total(t) = $5.42 + ($1.08/therm)(t) ≤ $87.50.

First, subtract $5.42 from $87.50:  then ($1.08/therm)(t) ≤ $82.08

Next, divide both sides by $1.08 per therm:


t ≤ ($82.08) / ($1.08/therm) = 76 therms (maximum).  Thus, Rameen's usage could be [0,76] (therms).

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If hair grows at a rate of approximately 0.44 mm per day, how many
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Answer:

91

Step-by-step explanation:

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2 years ago
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A three-digit number ends in number 7. If you put the number 7 in the first position, the number will increase by 324. Find the
liq [111]

Answer:

<u>The original three-digit number is 417</u>

Step-by-step explanation:

Let's find out the solution to this problem, this way:

x = the two digits that are not 7

Original number = 10x+7

The value of the shifted number = 700 + x

Difference between the shifted number and the original number = 324

Therefore, we have:

324 = (700 + x) - (10x + 7)

324 = 700 + x - 10x - 7

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<u>The original three-digit number is 417</u>

5 0
2 years ago
I) Solve the equation sin2x + 3cos2x = 0 (for 0 till 360°)
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Get rid of cos2x by dividing both the values. So Sin2x/cos2x +3cos2x/cos2x.
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7 0
2 years ago
Twelve people each have a standard deck of cards. Each person shuffles the deck and draws two cards (without replacement). Anyon
Arada [10]

Answer:

The number of people, of the twelve, who will win a prize is 5.

Step-by-step explanation:

In a standard deck of cards there are 52 cards.

The 52 cards are divided into 4 suits: Hearts, Diamonds, Spades and Clubs, each of 13 cards.

Each of the 12 people draws 2 cards from their standard deck of cards.

Compute the probability of selecting at least 1 diamond as follows:

P (At least 1 diamond) = 1 - P (No diamond)

                                    =1-\frac{{39\choose 2}}{{52\choose 2}} \\=1-\frac{741}{1326}\\ =1-0.5588\\=0.4412

The probability of selecting at least 1 diamond is 0.4412.

If a person draws at least 1 diamond he wins a prize.

The expected number of people who will win the prize is:

E (Wins a prize) = n × P (At least 1 diamond)

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Thus, the number of people of the twelve who will win a prize is 5.

3 0
2 years ago
Tommy posts 11 pictures on Instagram every day . Elizabeth posts 15 pictures on Instagram every day .
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