MATHEMATICS HIGH SCHOOL

there is a daily fee for renting a moving truck, plus a charge $0.50 per mile driven. it costs $64 to rent the truck on a day when it is driven 48 miles. Which linear equation can be used to model this situation?

Answers

Answer 1

Answer:

Answer:

Let x be the daily fee

0.5(48) +x = 64 is the equation,

Multiply:

24 + x = 64

Subtract:

x=40

The daily fee is $40

Related Questions

A school of salmon was swimming in the river 5 feet below the surface. To escape a hungry bear, they went down another 3 feet. What is the position of the salmon now relative to the surface?
The diameter of a circle has endpoints whose coordinates are R(-2, 2) and S(4, 2). what is the length of the radius?
How many sixths are there in 3 1/3
Pwease help fast this is mah last question!The area of the trapezium ABCD as shown in the figure (in square units) isA) 222B) 111C) 224D) 116
Faucet a can fill a water cooler 8 minutes. faucet b can fill the same cooler in 12 minutes. how long will it take both faucets together to fill the water cooler?

Suppose two independent events A and B have the following probabilities: P(Aᶜ = 0.40 and P(B∣A) = 0.80. Compute the probability that either avent A accurs, or Boccurs, or both occur.

Answers

Answer:

neither A nor B will occur simultaneously, as they are mutually exclusive.

Step-by-step explanation:

To compute the probability that either event A occurs, or B occurs, or both occur, you can use the principle of the union of events. The probability of the union of two events A and B (denoted as A ∪ B) can be calculated as:

�

(

�

∪

�

)

�

(

�

)

�

(

�

)

−

�

(

�

∩

�

)

P(A∪B)=P(A)+P(B)−P(A∩B)

In this case, you're given:

�

(

�

∁

)

0.40

P(A

∁

)=0.40, which means the probability of the complement of A (i.e., the probability that A does not occur).

�

(

�

∣

�

)

0.80

P(B∣A)=0.80, which is the conditional probability of B occurring given that A has occurred.

Let's break it down:

�

(

�

∁

)

P(A

∁

) is the probability that event A does not occur, which is

−

�

(

�

)

1−P(A).

�

(

�

∣

�

)

P(B∣A) is the conditional probability that event B occurs given that A has occurred.

So, you can calculate

�

(

�

)

P(A) and

�

(

�

)

P(B) as follows:

�

(

�

)

−

�

(

�

∁

)

−

0.40

0.60

P(A)=1−P(A

∁

)=1−0.40=0.60

Now, you can use the formula for the union of events to calculate

�

(

�

∪

�

)

P(A∪B):

�

(

�

∪

�

)

�

(

�

)

�

(

�

)

−

�

(

�

∩

�

)

P(A∪B)=P(A)+P(B)−P(A∩B)

But before we calculate

�

(

�

∩

�

)

P(A∩B), note that events A and B are independent, so

�

(

�

∩

�

)

�

(

�

)

⋅

�

(

�

∣

�

)

P(A∩B)=P(A)⋅P(B∣A).

�

(

�

∩

�

)

�

(

�

)

⋅

�

(

�

∣

�

)

0.60

⋅

0.80

0.48

P(A∩B)=P(A)⋅P(B∣A)=0.60⋅0.80=0.48

Now, plug this value into the formula:

�

(

�

∪

�

)

0.60

�

(

�

)

−

0.48

P(A∪B)=0.60+P(B)−0.48

Solve for

�

(

�

)

P(B):

�

(

�

)

�

(

�

∪

�

)

0.48

−

0.60

P(B)=P(A∪B)+0.48−0.60

�

(

�

)

�

(

�

∪

�

)

−

0.12

P(B)=P(A∪B)−0.12

Now, you have the equation:

�

(

�

∪

�

)

0.60

�

(

�

∪

�

)

−

0.12

−

0.48

P(A∪B)=0.60+P(A∪B)−0.12−0.48

Simplify:

�

(

�

∪

�

)

0.60

−

0.12

−

0.48

P(A∪B)=0.60−0.12−0.48

�

(

�

∪

�

)

0.00

P(A∪B)=0.00

So, the probability that either event A occurs, or B occurs, or both occur is 0.00. This means that neither A nor B will occur simultaneously, as they are mutually exclusive.

The altitude of an equilateral triangle is 18 inches. Find the length of a side

Answers

Let the length of equilateral triangle be x.

Each of the angle in an equilateral triangle is = 60°

The opposite to the 60° is the 18 inches. Hypotenuse is the side.

Sin 60° = 18 / Hypotenuse

Hypotenuse = 18 / Sin60°. Sin60° = √3 / 2

x = 18 / (√3 / 2)

= 18 / √3 * 2/1 = 36 / √3

x = 36 / √3

Rationalize the surd = 36 / √3 * (√3 / √3 ) = 36√3 / 3

x = 12√3 ≈ 12 * 1.732 ≈ 20.784

Length of side, x = 12√3 ≈ 20.784 inches.

Yolanda is buying supplies for school. She buys n package of pencils at $1.40 per package and m pads of paper at $1.20 each. What does each term in the expression 1.4n+1.2m represent? What does the entire expression represent?

Answers

1.4n represents the price and number of packages of pencils. 1.2m represents the number of paper pads and the price

Suppose a sequence begins with 1, 3 and continues by adding the previous two numbers to get the next number in the sequence. In this sequence, 18 and 29 are consecutive numbers. What is the next number in this sequence ?

Answers

47 because start at 1 and 3 add the two together and then that is how you get the next number in this sequence . Which is 4+previous nunber which is 3= 7
7+4=11, 11+7=18 11+18=29 , and 18+29=47
Does this help you any

How do I solve a problem like -8(n+3)+28=-5n-5