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3 years ago

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A family buys 6 tickets to a show. They also each spend $3 on a snack. They spend $24 on the show Which of the following equatio

ns matches this situation? 6 (.1 + 3) = 24 03 (3+6) = 24 O 60 + 3.2 = 24 6. --- 3 = 24

1 answer:

GarryVolchara [31]3 years ago

8 0

Answer:

$6(x+3) = 24$

Step-by-step explanation:

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While attending a film festival you decide that there are 13 movies that you are interested in seeing. However, you only have ti

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<span>A. 8,648,640
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3 years ago

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Morgan rewrote the expression 90 + (10 + 4.8) as (90 + 10) + 4.8. How will this change the work that is needed to evaluate the e

Archy [21]

Answer:

Answer is c

Step-by-step explanation:

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3 years ago

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For safety reasons, four different alarm systems were installed in the vault containing the safety deposit boxes at a Beverly Hi

larisa [96]

Answer: a) $(0.99)^4$

Step-by-step explanation:

Given : For safety reasons, four different alarm systems were installed in the vault containing the safety deposit boxes at a Beverly Hills bank.

Each of the four systems detects theft with a probability of .99 independently of the others .

Probability for independent events $(E_1 , E_2 , E_3 , ....., E_n)$ occurs together = $P(E_1)\times P(E_2)\times P(E_3)\ .....\times P(E_n)$ .

Then, the probability that when a theft occurs, all four systems will detect it

= (0.99) x (0.99) x (0.99) x (0.99)

$= (0.99)^4$

Hence, the probability that when a theft occurs, all four systems will detect it is $(0.99)^4$ .

Hence, the correct answer is a) $(0.99)^4$ .

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2 years ago

Total world consumption of iron was approximately 900 million tons in 1993. If consumption had increased by 2.5% each year and t

Lilit [14]

Step-by-step explanation:

We can model the annual consumption of iron by the equation

c = 900 million tons x $1.025^n$ , where

n is the number of years after 1993 and

c is the consumption for that year.

An estimate for the total consumption of iron can now be obtained by integrating this equation with respect to a dummy variable, x from 0 to n.

$C = 900*10^6* \int\limits^n_0 {1.025^x} \, dx$

This equation simplifies to

C = 900 million tons x (1.025^n - 1) / ln(1.025), where

x is a dummy variable and

C is the total consumption of iron n years after 1993.

Let R be the amount of iron remaining at n years after 1993, so

R = 480 billion tons - C

R = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)

We need to find the value of n when R is 0, so

0 = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)

Simplify this equation to obtain

n = 107.4

So the iron will run out in the year 1993 + 107 = 2100

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2 years ago

The formula for the volume of a sphere is a power function:

soldier1979 [14.2K]

Answer:

r≥0

V(r) ≥0

Step-by-step explanation:

V(r) = 4/3 * Pi* r^3

The domain is the input values for r

The radius cannot be less than 0 but can be any number bigger than 0

What is the domain of the function in this situation?

r≥0

The range is the output values for the function or the volume

The volume must be greater than or equal to zero

V(r) ≥0

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3 years ago

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