In the car lot, 4/12 of the cars are white and 3/12 of the ca
rs are blue. what fraction of the cars in the lot are either white or white?

Answers

Answer 1
The fraction of cars in the lot that are either white or blue is the sum of the fraction of cars that are white and the fraction of cars that are blue, minus the fraction of cars that are both white and blue (since we don't want to count these cars twice).

The fraction of cars that are white is 4/12, and the fraction of cars that are blue is 3/12. To find the fraction of cars that are both white and blue, we need to find the greatest common factor (GCF) of 4 and 3, which is 1. Then, we can divide both 4 and 3 by the GCF to get the simplified fractions 4/12 = 1/3 and 3/12 = 1/4. The fraction of cars that are both white and blue is the product of these two fractions, which is 1/3 x 1/4 = 1/12.

Now we can add the fractions for white and blue, and subtract the fraction for white and blue together:

Fraction of cars that are white or blue = 4/12 + 3/12 - 1/12
Fraction of cars that are white or blue = (4 + 3 - 1) / 12
Fraction of cars that are white or blue = 6/12

Simplifying the fraction, we get 6/12 = 1/2.

Therefore, 1/2 of the cars in the lot are either white or blue.

Related Questions

Six values on the number line above are marked with letters. Which letters represent integers when the value on the number line that corresponds to those letters is divided by 2?
Question 11 options:

A)

N, O, P, Q

B)

L, N, O, P

C)

L, N, P

D)

L, M, N, O

Six values on the number line above are marked with letters. Which letters represent integers when the

Answers

Answer:

Here is your answer C

Step-by-step explanation:

What is the mean?
{5, 6, 12, 7, 8 10 ,8}

Answers

8, I hope this helps

3. Classify each of the given sets of measurements
as one unique triangle, multiple triangles, or no A.
Place the letter in the correct box.
a) 52, 63, 65°
b) 31°, 102°, 46°
c) 70.6°, 47.4°, 62°
e)
f)
7.9 cm, 2.4 cm, 2.9 cm
12% in, 6 % in, 5 % in
124 mm, 432 mm, 385 mm

Answers

The Classify each of the given sets of measurements is given below:

How to Classify each of the given sets of measurements

a) 52, 63, 65°: These measurements form a unique triangle. This is a right-angled triangle, also known as a Pythagorean triple.

b) 31°, 102°, 46°: These measurements do not form a triangle. The sum of the angles in a triangle is always 180°, but in this case, the sum is 179°, which is less than 180°.

c) 70.6°, 47.4°, 62°: These measurements do not form a unique triangle. There are multiple possible triangles that can be formed with these measurements.

d) 3 cm, 4 cm, 5 cm: These measurements form a unique triangle. This is another example of a Pythagorean triple.

e) 7.9 cm, 2.4 cm, 2.9 cm: These measurements do not form a triangle. The sum of the two smaller sides is less than the length of the largest side, which violates the triangle inequality.

f) 12% in, 6% in, 5% in: These measurements do not form a triangle. The sum of the two smaller sides is less than the length of the largest side, which violates the triangle inequality.

g) 124 mm, 432 mm, 385 mm: These measurements form a unique triangle.

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b) The company from part A, has to fulfill an order to print 100 copies of a
textbook. If each textbook has 210 pages, how many hours will it take for the
company to finish this order?
Show all work.

Answers

The total time taken for the company to print the 100 copies is  175 hours.

What is the time taken for the company to print the 100 copies?

The time taken for the company to print the total 100 copies is determined by multiplying the time for a textbook by 100.

If the company takes 30 seconds to print a page, the total time take to print 210 pages is calculated as follows;

t = 30 s / page  x  210 pages

t = 6,300 seconds

The total time taken for the company to print the 100 copies is calculated as;

t = 6,300 s  x  100

t = 630,000 seconds

time in hour = 630,000 s / 3600 s / hr = 175 hours

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The complete question is below:

The company from part ( prints a page in 30 seconds), has to fulfill an order to print 100 copies of a

textbook. If each textbook has 210 pages, how many hours will it take for the company to finish this order?

Show all work.

A 95% confidence interval for the population mean is calculated as [40, 80]. The margin of error for this interval is _______.

Answers

The margin of error for this confidence interval is 20.

In a confidence interval, the margin of error represents the range around the sample mean within which we expect the true population mean to lie with a certain level of confidence.

To calculate the margin of error, we subtract the lower bound of the confidence interval from the upper bound and divide it by 2. In this case, the lower bound is 40 and the upper bound is 80.

Margin of Error = (Upper Bound - Lower Bound) / 2 = (80 - 40) / 2 = 40 / 2 = 20

Therefore, the margin of error for this confidence interval is 20. This means that we can be 95% confident that the true population mean falls within 20 units of the sample mean.

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ly| ≤3

Are the lines on graph at 3 and -3 also part of the answer?

ly| 3Are the lines on graph at 3 and -3 also part of the answer?

Answers

Answer:

Yes, the lines on the graph at 3 and -3 a part  of the solution,

Step-by-step explanation:

The inequality \(|y| \leq 3\) contains all the values of \(y\) 3 units from the origin including the values 3 and -3.

Thus, the lines on the graph y =-3 and y = 3 are the part of the solution.

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Solve the system of equations below. 3x + 6y = 12
x + 2y = 4
A. (2, 1)
B. (0, 2)
C. No solution
D. Infinitely many solutions

Answers

Answer:

D

Step-by-step explanation:

When you put the equation into the calculator.... the results are infinitely many solutions.

Answer:

Step-by-step explanation:bans

I NEED HELP THIS WORKSHEET IS DUE IN AN HOUR!!!!!!!!

14/15 + x = 4/9

Answers

Answer:

So let's rearrangeWe get x= -22/45

first answer will get brainlest and 5 stars and a thanks by me

first answer will get brainlest and 5 stars and a thanks by me

Answers

Answer:

4 seconds

Step-by-step explanation:

Please help!!!

PQR=/MNR. Find X.​

Please help!!!PQR=/MNR. Find X.

Answers

X=55 since the triangle is 90*

Solve for x.

y= x/c +b

Enter your answer in the box.

Answers

Answer:

= 1/c

Step-by-step explanation:

Apply the sum/Different Rule: ( f + g ) ' = f ' + g'

= d/dx (x/c) + d/dx (b)

d/dx (x/c) = 1/c

d / dx (B) = 0

= 1/c + 0

Simplify = 1/c

Please help I need to find the perimeter of the shape but first I need to find the missing sides

Please help I need to find the perimeter of the shape but first I need to find the missing sides

Answers

Answer:

Step-by-step explanation:

This should help you :

Please help I need to find the perimeter of the shape but first I need to find the missing sides

Find the sum of 3 square root of 5​ and 2 square root of 2 ​ in simplest form. Also, determine whether the result is rational or irrational and explain your answer

Answers

The simplest form by adding two number is \(3\sqrt{5}+2\sqrt{2}\)  and it is irrational number.

What is the square root of a number?

The square root of any number is equal to a number, which when squared gives the original number. Let us say n is a positive integer, such that  \(\sqrt{n.n}=\sqrt{(n)}^2=n\)

Given that, the two numbers,

3 square root of 5= \(3\sqrt{5 }\)

2 square root of 2 = \(2\sqrt{2}\)

Sum of these two numbers = \(3\sqrt{5}+2\sqrt{2}\)

We cannot simplify this term further.

The simplest form by adding two numbers is \(3\sqrt{5}+2\sqrt{2}\)

As it is clear, it is a irrational number.

Because, \(\sqrt{2}\) and \(\sqrt{5}\) is a irrational number.

Hence, the simplest form by adding two number is \(3\sqrt{5}+2\sqrt{2}\)  and it is irrational number.

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A car takes 30 minutes to cover a distance of 15 km. calculate its speed in km. /hour.
pls answer with steps

Answers

Answer: 30x2=60 Minutes 60 Minutes=1 Hour 15x2=30 km The car travels 30 km in 60 minutes

Step-by-step explanation:

What does peculiar mean?
1. muscular
2. popular
3. strange
4. prescribed

Answers

Answer:

1. Strange

Step-by-step explanation:

Answer: strange

Step-by-step explanation:

Help fast
Find all values of x that make the equation true.

Help fastFind all values of x that make the equation true.

Answers

Answer:

x=10

Step-by-step explanation:

C. c. what is the slope of (2,5) and (-1,2)​

Answers

Answer:

The slope of ( -2 , -5) and ( -1 , -2) is perpendicular to this line

Greetings from Brasil...

The slope is given by the expression:

ΔY/ΔX

where

ΔY = Y₂ - Y₁

ΔX = X₂ - X₁

slope = ΔY/ΔX

slope = (Y₂ - Y₁)/(X₂ - X₁)

slope = (2 - 5)/(- 1 - 2)

slope = (- 3)/(- 3)

slope = 1

I'm not good at time questions can someone help me?

I'm not good at time questions can someone help me?

Answers

Randy should begin his homework by 07:10 in order to sleep by 10:00

How to determine the time to start the homework?

The given parameters are:

Social studies = 45 minutesScience = 40 minutesMath = 1 hour and 15 minutesBed preparation = 10 minutes

If the above activities are done, the time spent would be:

Time = 45 minutes + 40 minutes + 1 hour and 15 minutes + 10 minutes

Add the time

Time =  2 hour and 50 minutes

He wants to go to bed by 10:00.

So, the time to begin his homework is:

Begin = 10:00 - 2 hour and 50 minutes

Evaluate the difference

Begin = 07:10

Hence, Randy should begin his homework by 07:10

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What is the image of the vertex after the reflection?

What is the image of the vertex after the reflection?

Answers

Answer:

The answer is B.

Step-by-step explanation:

When you reflect (2,5) over the x axis, you get (2,-5).

How do you solve quotients step by step?

Answers

We can Long Division method to solve quotients step by step

What is long division method and its steps ?

When splitting huge numbers, the task is divided into several sequential parts using the long division approach. The dividend is divided by the divisor, just as in conventional division problems, and the result is known as the quotient; occasionally, it also produces a remainder.

We need to comprehend a few stages in order to divide. A vinculum or right parenthesis separates the dividend from the quotient, while a vertical bar separates the divisor from the dividend. Let's now go through the long division stages listed below to comprehend the procedure.

1. Take the dividend's first digit starting from the left . Verify if this digit exceeds or is equal to the divisor.

2. Next, divide it by the divisor, and write the result as the quotient on top.

3. Subtract the outcome from the digit, and then put the difference below.

Step 4: Decrease the dividend's subsequent digit (if present).

Step 5: Carry out Step 4 again.

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what is the domain and range of the following relation? domain: all real numbers; range: all real numbers. domain: x ≤ 0; range: all real numbers. domain: x ≤ 0; range: y ≤ 0. domain: all real numbers; range: y ≤ 0.

Answers

According to the given statement , the domain and range of a relation describe the possible inputs and outputs, respectively.

In the first relation, the domain is all real numbers and the range is also all real numbers.

In the second relation, the domain is x ≤ 0, which means x is less than or equal to 0. The range is all real numbers.

In the third relation, the domain is x ≤ 0 and the range is y ≤ 0.

In the fourth relation, the domain is all real numbers and the range is y ≤ 0.

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A contractor is preparing a bid to install swimming pools at a new housing addition. The estimated time to build the first pool is 30 hours. The contractor estimates an 85 percent learning rate. Using POM for Windows or OM Explorer, how long do you estimate the time required to install the fifth pool? The time required to install the fifth pool is __ hours. (Enter your response rounded to two decimal places.) What is your estimate of the total time for all five pools? The total time for all five pools is __ hours. (Enter your response rounded to two decimal places.)
Previous question

Answers

The estimated total time for all five pools is approximately 13.85 hours.

To estimate the time required to install the fifth pool using the learning curve, we can use the formula:

Time for nth unit = Time for first unit * (n^b)

Where:

Time for nth unit is the estimated time to install the nth pool

Time for first unit is the estimated time to build the first pool (30 hours)

n is the number of units (in this case, n = 5 for the fifth pool)

b is the learning curve exponent (85% learning rate corresponds to b = log(0.85) / log(2))

Let's calculate the estimated time for the fifth pool:

b = log(0.85) / log(2) ≈ -0.157

Time for fifth pool = Time for first pool * (5^b)

Time for fifth pool = 30 * (5^(-0.157))

Calculating this, we find:

Time for fifth pool ≈ 30 * 0.6764 ≈ 20.29 hours

Therefore, the estimated time required to install the fifth pool is approximately 20.29 hours.

To calculate the total time for all five pools, we need to sum the time required for each pool from the first to the fifth. Since the learning curve assumes decreasing time with increasing units, we can use a summation formula:

Total time for all units = Time for first unit * ((1 - (n^b)) / (1 - b))

Using this formula, let's calculate the total time for all five pools:

Total time for all five pools = Time for first pool * ((1 - (5^b)) / (1 - b))

Total time for all five pools = 30 * ((1 - (5^(-0.157))) / (1 - (-0.157)))

Calculating this, we find:

Total time for all five pools ≈ 30 * 0.4615 ≈ 13.85 hours

Therefore, the estimated total time for all five pools is approximately 13.85 hours.

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PLIS HELPPPPP
The data shown in the table below represents the number of quarters Maria's aunt gives her every year for her birthday.

Age (in years) Number of quarters
2 32
6 47
7 51
4 40
5 43
3 38
8 60
1 23

Part A: Create a scatter plot to represent the data shown above. Sketch the line of best fit. Label at least three specific points on the graph that the line passes through. Also include the correct labels on the x-axis and y-axis.
Part B: Algebraically write the equation of the best fit line in slope-intercept form. Include all of your calculations in your final answer.
Part C: Use the equation for the line of best fit to approximate the number of quarters that Maria will be given when she turns 14 years old.

Answers

The equation of the line of best fit is y = 4.57x + 21.19 and Maria will be given 85 quarters at 14 years old

The scatter plot of the data

See attachment

The equation of the line of best fit

From the graphing calculator, we have the following summary;

Sum of X = 36Sum of Y = 334Mean X = 4.5Mean Y = 41.75Sum of squares (SSX) = 42Sum of products (SP) = 192

The equation of the line of best fit is represented as:

y = bx + a

Where

b = SP/SSX = 192/42 = 4.57143

a = MY - bMX = 41.75 - (4.57*4.5) = 21.17857

So, we have:

y = 4.57143x + 21.17857

Approximate

y = 4.57x + 21.19

Hence, the equation of the line of best fit is y = 4.57x + 21.19

The number of quarters at 14 years old

This means that:

x = 14

So, we have

y = 4.57 * 14 + 21.19

Evaluate

y = 85.17

Approximate

y = 85

Hence, Maria will be given 85 quarters at 14 years old

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PLIS HELPPPPPThe data shown in the table below represents the number of quarters Maria's aunt gives her

Serenity filled up her car with gas before embarking on a road trip across the country. Let � G represent the number of gallons of gas remaining in her gas tank after driving for � t hours. A graph of � G is shown below. Write an equation for � G then state the � y-intercept of the graph and determine its interpretation in the context of the problem.

Answers

The equation is: G = -⁵/₄t + 15

The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.

How to find the linear equation of the graph?

The formula for the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the graph, we see that:

y-intercept = 15 gallons

Now, the slope is gotten from the formula:

Slope = (y₂ - y₁)/(x₂ - x₁)

Slope = (10 - 5)/(4 - 8)

Slope = -⁵/₄

Thus, equation is:

G = -⁵/₄t + 15

The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.

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Serenity filled up her car with gas before embarking on a road trip across the country. Let G represent

The variables are x-SP500 market monthly log return and y = monthly return of Coca Cola for 48 months beginning in January 2010. For input into R, the data vectors for monthly market return and monthl

Answers

To input the data vectors for monthly market return and monthly return of Coca Cola into R, create two separate numeric vectors, 'x' and 'y', containing the respective values for each month.

In the code snippet, you would replace the ellipsis (...) with the actual values for each variable for all 48 months. Make sure the lengths of both vectors are the same, and the order of values corresponds to the chronological order of the months. Once you have the data vectors defined, you can perform various analyses or calculations using the x and y vectors in R.

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a man 6 ft tall walks at the rate of 5 ftsec toward a streetlight that is 16 ft above the ground. at what rate is the length of his shadow changing when he is 10 ft from the base of the light?

Answers

The rate at which length of shadow of person changing is 3 ft /sec.

What is meant by time rate?The literal formula for the relationship between distance, rate, and time is distance=rate×time=rt

H = Height of streetlight; 16 ft

h = Height of man; 6 ft

x = Length of man's shadow.

s = Distance from streetlight to man.

Using the similarities of the triangles.

H/h = (s + x)/x

Hx = h(s + x)

Differentiate with respect to 't' on both sides.

H(dx/dt) = h(ds/dt + dx/dt)

Put the values.

16(dx/dt) = 6(5 + dx/dt)

16(dx/dt) = 30 + 5dx/dt

10dx/dt = 30

dx/dt = 3 ft /sec

Thus, the rate at which length of shadow of person changing is 3 ft /sec.

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Determine the force exerted by the jet on the wall when the angle between the jet and the house is 90

Answers

Hope this help these should help you with that question :) I really do hope this helps if not I will look into it for you.
Determine the force exerted by the jet on the wall when the angle between the jet and the house is 90

Harry has three quarters of a dollar in coins if he only has 5 coins write the value of each coin to show the 5 coins harry has.
help

Answers

Answer

$1.25

Step-by-step explanation:

well a quarter is 25 and 4 of them is $1.00 plus 25 = $1.25 cents

Which points are solutions to the system of inequalities shown below

Which points are solutions to the system of inequalities shown below

Answers

Answer:

A, B, C

Step-by-step explanation:

X and Y in the problem are shown by the integer pairs at the bottom. The first number in the integer pair is X, and the second is Y. From there we can figure the problem out.

A. This one is correct, all inequalities matched when it is filled in.

B. This one is correct, all inequalities matched when it is filled in.

C. This one is correct, all inequalities matched when it is filled in.

D. The first inequality alone proves this one is wrong, because 1 isn't greater than 7.

E. The second inequality proves this one wrong. 5 is less than 6

F. The first inequality alone proves this one is wrong, because 3 isn't greater than 4.

hope this helps, brainliest is appreciated.

who runs the fastest

who runs the fastest

Answers

Answer:

Ron run faster then other

Ron is the one that runs the fastest I’ve calculated every single option and that’s the fastest
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