MATHEMATICS HIGH SCHOOL

An automobile factory is assembling cars and they need to have all of the parts in stock at the assembly line. Each car needs four tires and a spare tire for the trunk. If they produce c cars per day, what formula shows how to calculate the number of tires, t, needed?

Answers

Answer 1
Answer:


t = 5c

Each car needs 5 tires (4 on it and 1 spare, which add up to five). So for every one car they make they need 5 tires. Two cars would need 10 tires, 3 would need 15 tires, etc, so the number of tires can be found by multiplying the number of cars by 5. Putting this into equation form, you'd get t = 5c
Answer 2
Answer:

Final answer:

The formula to calculate the number of tires needed in an automobile factory is t = (4c) + c, where t represents the number of tires needed and c represents the number of cars produced per day.

Explanation:

The formula to calculate the number of tires needed in an automobile factory is given by:



t = (4c) + c



Where t represents the number of tires needed and c represents the number of cars produced per day.



For example, if the factory produces 100 cars per day, we can substitute c = 100 into the formula to find that t = (4 * 100) + 100 = 500 + 100 = 600. Therefore, the factory would need 600 tires per day.

Learn more about Calculating the number of tires needed in an automobile factory here:

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If a whole number is even then the number is divisible by 4 are the statement and it’s converse true

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The statement is false, but the converse is true.

Find the probability of rolling two dice and getting two odd numbersA.50%
B.5.5%
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D.2.7%

Answers

One die has 6 numbers, 3 of which which are odd. That means each roll has a 50% chance of being odd.

To find the probability of rolling TWO odd numbers, we can multiply the 0.5 chance per roll by 2 to get:

0.5 * 0.5 = 0.25 or 25%

If you visualize the question, we have 4 possibilities:

Roll 1 is even and roll 2 is even.

Roll 1 is even and roll 2 is odd.

Roll 1 is odd and roll 2 is even.

Roll 1 is odd and roll 2 is odd.

Only 1 of the 4 possibilities results in both rolls being odd.

Does anybody know the answer to this question please I need help?!

Answers

Answer:

Juan earns 10 dollars a week at his job

Step-by-step explanation:

Martha has widow's peak and attached earlobes. Martha's dad had a straight hairline and unattached earlobes. If Martha marries a man that is heterozygous for both traits, what is the probability that they will have a child with a widow's peak and attached earlobes?

Answers

Answer:

the probability of having a widow peak and attached earlobe = 0.6667*0.66667 = 0.4445 = 44.5%

Step-by-step explanation:

Martha = widow's peak + attached earlobes.

Martha's dad = straight hairline + unattached earlobes.

Martha husband =straight hairline+ widow's peak + attached earlobes

what is the probability that Martha child will have a widow's peak + attached earlobes?

since,

Martha + Martha husband =straight hairline+ widow's peak + attached earlobes

the probability of the child having widow peak is 2/3 = 0.6667

the probability of the child having attached earlobes is 2/3 = 0.66667

the probability of having both = 0.6667*0.66667 = 0.4445

The director of marketing at a large company wants to determine if the amount of money spent on internet marketing is a good predictor of company profit. She fits a least-squares regression line to 20 months of data and computes the following regression line:Profit = 372.6 + 17.2(advertising dollars)
What is the value of the residual for advertising dollars spent equal to $1,020 and Profit equal to $17,500? Round to the nearest integer.

Answers

Given:
Profit = 372.6 + 17.2(advertising dollars)
advertising dollars = 1,020
profit = 17,500

Profit = 372.6 + 17.2(advertising dollars)

We'll just input the amount specified in the equation. 
17,500 = 372.6 + 17.2 (1020)
17,500 = 372.6 + 17,544
17,500 = 17,916.60

As you can see, the values do not equal. Its difference is the residual value.

17,916.60 - 17,500 = 416.60 residual value

Pentagon ABCDE and pentagon A'B'C'D'E' are shown on the coordinate plane below: Pentagon ABCDE and pentagon A prime B prime C prime D prime E prime on the coordinate plane with ordered pairs at A negative 4, negative 2, at B negative 6, negative 3, at C negative 5, negative 6, at D negative 2, negative 5, at E negative 2, negative 3, at A prime 3, 1, at B prime 1, 2, at C prime 2, 5, at D prime 5, 4, at E prime 5, 2 Which two transformations are applied to pentagon ABCDE to create A'B'C'D'E'? Translated according to the rule (x, y) →(x + 7, y + 1) and reflected across the x-axis Translated according to the rule (x, y) →(x + 1, y + 7) and reflected across the x-axis Translated according to the rule (x, y) →(x + 7, y + 1) and reflected across the y-axis Translated according to the rule (x, y) →(x + 1, y + 7) and reflected across the y-axis

Answers

Answer:

Translated according to the rule (x, y) →(x + 7, y + 1) and reflected across the x-axis

Step-by-step explanation:

We are given Pentagon ABCDE.

with vertices as:

A (-4,-2) , at B(-6,-3) at C (-5,-6), at D (-2,-5) at E (-2,-3)

and the pentagon A'B'C'D'E' with vertices as:

A'(3,1) , B'(1,2) , C'(2,5) , D'(5,4) and E'(5,2).

Clearly we could observe that the image is formed by the translation and reflection of the pentagon ABCDE.

First the Pentagon is translated by the rule:

(x,y) → (x+7,y+1) so that the pentagon is shifted to the fourth coordinate  and then it is reflected across the x-axis to get the transformed figure in the first coordinate plane as Pentagon A'B'C'D'E'.

Hence, the answer is:

Translated according to the rule (x, y) →(x + 7, y + 1) and reflected across the x-axis

The first choice is the correct answer.

To move from the lower left shape to the upper right shape, you first have to move 7 units to the right and then up 1 unit. (x + 7, y + 1).

Then, you have to flip it over the x-axis to get it up in the first quadrant.
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