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3 years ago

A three-dimensional model of Arthur's apartment is

Mathematics

2 answers:

Ilya [14]3 years ago

5 0

Answer: The volume of the apartment is 2,160 ft3.

An hourly rating of 2.5 BTUs per cubic foot is required, so multiply the total volume by 2.5.

Arthur needs an air conditioner that will provide 5,400 BTUs to properly cool his apartment

Step-by-step explanation:

gayaneshka [121]3 years ago

5 0

Answer:

2,160

multiply the total volume by 2.5

5,400 BTUs

Step-by-step explanation:

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Ali, Carrie and Bryan received a sum of money. Bryan's money was 3/5 as much as Ali's money. The ratio of Ali's money to Carrie'

monitta

Answer:

The sum of money received by Ali, Carrie and Bryan is $ 740.

Step-by-step explanation:

At first we translate mathematically each sentence:

(i) Ali, Carrie and Bryan received a sum of money.

$a$ - Ali's money.

$b$ - Bryan's money.

$c$ - Carrie's money.

(ii) Bryan's money was $\frac{3}{5}$ of Ali's money.

$b = \frac{3}{5}\cdot a$ (1)

(iii) The ratio of Ali's money to Carrie's money was 4 : 1.

$\frac{a}{c} = 4$ (2)

(iv) Ali had $ 160 more than Bryan.

$a = b + 160$ (3)

After some algebraic handling, we have the following system of linear equations:

$3\cdot a - 5 \cdot b = 0$ (1b)

$a - 4\cdot c = 0$ (2b)

$a - b = 160$ (3b)

The solution of the system is: $a = 400$ , $b = 240$ , $c = 100$

The sum of money is:

$s = a + b + c$

$s = 740$

The sum of money received by Ali, Carrie and Bryan is $ 740.

4 0

3 years ago

You are at a restaurant. You are ordering a drink. You can choose small or large. Then you can choose between sprite, diet coke,

wlad13 [49]

Answer:

so in all it's 4.

Step-by-step explanation:

1: for the drink size.

1: for the kind of drink you want.

1: for the lid or no lid.

1: for the straw or no straw

4 0

3 years ago

Two dance teams, the Roses and the Tulips, are perfectly matched so that their chances of winning are both set at 50%. What is t

shtirl [24]

Answer:

Step-by-step explanation:

Step 1

The fist step is to define the probabilities.

The events are independent from each other. Each team wins with probability $\frac{1}{2}$ and looses with probability $\frac{1}{2}.$ Let $P(W_R)$ be probability that Roses win and $P(L_R)$ be the probability that Roses loose.

Step 2

The second step is to calculate the probabilities by multiplying the probabilities with the first 3 terms in the product being the probability of a win and the last term being the probability of a loss.

The calculation is shown below,

$P(W_R)\times P(W_R)\times P(W_R)\times P(L_R)=\frac{1}{2} \times \frac{1}{2} \times\frac{1}{2} \times\frac{1}{2} =\frac{1}{16}$