A car traveled 480 miles in 4 hours. If its speed was 12 mph faster, what distance would it have traveled in 4 hours?

Answers

Answer 1
Answer:

Answer:

528 miles

Step-by-step explanation:

First, we need to figure out how many miles it drives in 1 hour:

480 divided by 4 = 120

now, we add 12 to 120: 120 + 12 = 132

132 x 4 = 528

hope this helped have a great day/night!! :'')

Answer 2
Answer:

Final answer:

The car would have traveled 528 miles in 4 hours with the increased speed of 12 mph.

Explanation:

To calculate the distance the car would have traveled in 4 hours with a speed that is 12 mph faster, we need to find the original speed of the car. We can use the formula speed = distance/time, where the speed is the original speed of the car, the distance is the distance the car traveled in 4 hours (480 miles), and the time is 4 hours. Rearranging the formula, we have distance = speed x time. So, the distance the car would have traveled with the increased speed in 4 hours is 480 miles + 12 mph x 4 hours.

Using the formula, we can calculate the distance:
distance = (480 miles) + (12 mph x 4 hours) = 480 miles + 48 miles = 528 miles.

Therefore, if the car's speed was 12 mph faster, it would have traveled a distance of 528 miles in 4 hours.

Learn more about calculating distance with increased speed here:

brainly.com/question/32220914

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Assume that a lost treasure will be in a certain area of the ocean with probability 0.4, and that a search of that area will find the treasure with probability 0.9 if it is there. What is the conditional probability of the treasure being in the area if the area is searched and no treasure is found?

Answers

Answer:

the probability of the treasure being in the area given that no treasure is found is 0.0625 (6.25%)

Step-by-step explanation:

denoting the event N= no treasure is found , then

P(N) = probability that the lost treasure is in the area* probability that the lost treasure is not found in the treasure's area + probability that the lost treasure is not in the area*  probability that the lost treasure is not found in other areas = 0.4*0.1 + 0.6*1 = 0.64

P(N) = 0.64

then we can get the conditional probability using the theorem of Bayes . Denoting the event A= the treasure being in the area

P(A/N) = P(A∩N)/P(N) = 0.4*0.1/0.64 = 0.0625 (6.25%)

where

P(A∩N) = probability of the treasure being in the area and no treasure is found

P(A/N) = probability of the treasure being in the area given that no treasure is found

You are certain to get a heart, diamond, club, or spade when selecting cards from a shuffled deck. Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive.

Answers

Answer:

The probability of this event is represented by a value of 1.

Step-by-step explanation:

Probability of a certain event:

The probability of an event that is considered to be certain, that is, guaranteed to happen, is 100% = 1.

You are certain to get a heart, diamond, club, or spade when selecting cards from a shuffled deck.

This means that the probability of this event is represented by a value of 1.

Can somebody help me !

Answers

Answer:

\angle 1

Step-by-step explanation:

\angle 1 is not congruent to \angle 6

The Richter Scale gives a mathematical model for the magnitude of an earthquake in terms of the ratio of the amplitude of an earthquake wave (also known as the intensity of an earthquake) to the amplitude of the smallest detectable wave. If we denote the magnitude of the earthquake by R, the intensity (also known as the amplitude of the earthquake wave) of the earthquake by A, and the amplitude of the smallest detectable wave by S, then we can model these values by the formula R=log(AS)
In 1906, San Francisco felt the impact of an earthquake with a magnitude of 7.8. Many pundits claim that the worst is yet to come, with an earthquake 748,180 times as intense as the 1906 earthquake ready to hit San Francisco. If the pundits ability to predict such earthquakes were correct, what would be the magnitude of their claimed earthquake? Round your answer to the nearest tenth.

Answers

Answer:

The magnitude of the claimed earthquake would be 13.67.

Step-by-step explanation:

The 1906 earthquake had a intensity of A and a magnitude of 7.8.

S is going to have the same value, so i am going to write as 1. So:

\log{A} = 7.8

A = 10^(7.8)

A = 63095734.448

Many pundits claim that the worst is yet to come, with an earthquake 748,180 times as intense as the 1906 earthquake ready to hit San Francisco.

So A = 748180*63095734.448

So

R = \log{A} = \log{748180*63095734.448} = 13.67

The magnitude of the claimed earthquake would be 13.67.

What value of y makes the sentence true?y + 3 = 30
Type your answer in the box below.
I
y =

Answers

Hey there!

y + 3 = 30

SUBTRACT 3 to BOTH SIDES

y + 3 - 3 = 30 - 3

CANCEL out: 3 - 3 because that gives you 0

KEEP: 30 - 3 because that gives you the value of y

y = 30 - 3

30 - 3 = y

y = 27

Answer: y = 27

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

y = 27
Subtract 3 from both sides to get y by itself.

To express the polynomial 4a^3 + a^2 - 6a^5 + 2a^3 - 4a + 1 in standard form, which terms should be combined?

Answers

Answer:

4a^3 and 2a^3

Step-by-step explanation:

you always start by combining like terms

Answer:

Step-by-step explanation:

-6a^5+6a^3+a^2-4a+1