Multiply 4 2/7⋅2 1/5

Answer:

chatGPT

Step-by-step explanation:

Let's denote the speed of each car as v, and the distance that Car A travels as d. Then we can set up two equations based on the information given:

d = v * (12/60) (since Car A reaches its destination in 12 minutes)

d + 4 = v * (18/60) (since Car B travels 4 miles farther than Car A and reaches its destination in 18 minutes)

Simplifying the equations by multiplying both sides by 60 (to convert the minutes to hours) and canceling out v, we get:

12v = 60d

18v = 60d + 240

Subtracting the first equation from the second, we get:

6v = 240

Therefore:

v = 240/6 = 40

So the cars travel at a speed of 40 miles per hour.

Answer: b (-3,-2) c (4,-4) BRAINIEST!!

Step-by-step explanation:

Answer:

B.) 13

C.) 0.6

Step-by-step explanation:

The order of operations to evaluate these expressions is as follows:

Parentheses

Exponents

Multiplication/Division

Addition/Subtraction

So, for B.)

\(9^\frac{1}{2}+\sqrt{25}-8\div2+3^2\)

This can be rewritten as
\(9^\frac{1}{2}+25^\frac{1}{2}-8\div2+3^2\)

Since there are no parentheses, evaluate the exponents first:

\(3+5-8\div2+9\)

Next, there are no multiplication steps, but there is one division:

\(3+5-4+9\)

To finish, evaluate from left to right:

\(3+5-4+9\\8-4+9\\4+9\\13\)

Follow the same pattern for C.)

\((\frac{1}{2})(\frac{3}{5})(2^3-6)\)

This expression can be rewritten as

\((1\div2)(3\div5)(2^3-6)\)

First, evaluate the expressions in the individual parentheses, keeping in mind the expression \((2^3-6)\) must be evaluated following the same pattern (evaluate the exponent before subtracting six):

\((.5)(.6)(8-6)\\(.5)(.6)(2)\)

To finish, evaluate from left to right:

\((.3)(2)\\.6\)

Hope that helps!

The correct matching of probabilities is as follows:

The probabilities are calculated as follows:

2. The probability of spinning an even number is 2/4 = 1/2

The probability of spinning a 3 is 1/4.

The probability of spinning an even or a 3 =  1/2 + 1/4

The probability of spinning an even or a 3 = 3/4

3. 16 possible outcomes are obtained by taking the Cartesian product of the set {red, blue, yellow, green} with itself, that is, by listing all possible ordered pairs of colors. The sample space is option D.

4. The probability of getting red on at least one spin = 1 - the probability of not getting red on either spin.

The probability of not getting red on a single spin is 3/4

The probability of not getting red on two spins in a row is (3/4) × (3/4) = 9/16

Therefore, the probability of getting red on at least one spin = 1 - 9/16

The probability of getting red on at least one spin = 7/16

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Answer:

Step-by-step explanation:

A bitmap is a digital image format that is made up of a grid of square colored dots called pixels.

Each pixel in the bitmap contains information about its color and position, which allows the computer to display the image on a screen or print it on paper. Bitmaps are commonly used for photographs, illustrations, and other complex images that require a high degree of detail and color accuracy.

However, because bitmaps store information for each individual pixel, they can be memory-intensive and may result in large file sizes. Additionally, resizing a bitmap can lead to a loss of quality, as the computer must either interpolate or discard pixels to adjust the image size.

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Answer:

the numbers are 13 and 17

Step-by-step explanation:

let the first number be a

let the second number be b

a+b=30.......a=30-b

a-b=4

substitute the first eq into the second one

30-b-b=4

30-2b=4

30-4=2b

26=2b

13=b

a=30-b

a=30-13

a=17

Answer:

314 cm squared

Step-by-step explanation:

yea think so

This number does not correspond to the correct product of 243,192 multiplied by 4.

Rae's method appears to involve breaking down the numbers into their components and performing the multiplication operations separately. Let's analyze her answer:

243, 192 x 4 - 8 | 16 12 | 4 | 36 | 8 1

It seems that she broke down the number 243,192 into its individual digits (2, 4, 3, 1, 9, and 2) and performed separate calculations for each digit. However, her approach is not mathematically accurate or coherent.

Now, let's translate Rae's answer into a number that can be understood in base 10:

243,192 x 4 - 8 | 16 12 | 4 | 36 | 8 1

If we reassemble the digits without the vertical separators, we get: 8161243681.

However, this number does not correspond to the correct product of 243,192 multiplied by 4.

To find the correct answers using Rae's method, let's apply it to the provided multiplication exercises:

156 x 3:

Applying Rae's method:

156 x 3 - 6 | 15 18 | 3

Reassembling the digits: 6153183

The correct answer: 156 x 3 = 468

2873 x 2:

Applying Rae's method:

2873 x 2 - 6 | 14 16 | 3

Reassembling the digits: 614163

The correct answer: 2873 x 2 = 5746

71,181 x 5:

Applying Rae's method:

71,181 x 5 - 5 | 35 25 | 5

Reassembling the digits: 535255

The correct answer: 71,181 x 5 = 355,905

3,726,510,392 x 2:

Applying Rae's method:

3,726,510,392 x 2 - 4 | 7 14 12 10 | 3

Reassembling the digits: 471412103

The correct answer: 3,726,510,392 x 2 = 7,453,020,784

So, while Rae's approach is not mathematically valid, we were able to compute the correct answers using traditional multiplication methods.

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A popular way for people to share information and thoughts with others online is through blogging.

A blog is a conversation or informational website published on the World Wide Web that is composed of discrete, frequently informal diary-style text posts, according to the definition of a blog provided by Wikipedia.

This has given rise to a brand-new trend where everyone may now voice their opinions on a given subject.

Other phenomena and artefacts, such as analogue signals, poetry, photographs, music, or other sounds, as well as electrical currents, transmit information in a more continuous manner than do digital signals and other data, which employ discrete signs or algebras to do so.

Information itself is not knowledge, but how it is interpreted is crucial. Raw information can also take the shape of structured data. A collection of data may contain information that may be extracted through analysis by analysts who are experts in their field.

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Answer:

D.

Step-by-step explanation:

Answer:

its d

Step-by-step explanation:

If $700 is invested at a 4% annual interest rate, compounded semiannually, the interest earned after 5 years will be $99.29.

Explanation:

The first step in calculating the interest earned is to determine the interest rate per compounding period. Since the interest is compounded semiannually, we need to divide the annual interest rate by 2 to get the semiannual interest rate.

Semiannual interest rate = 4% / 2 = 0.02

The next step is to determine the number of compounding periods over the 5-year period. Since the interest is compounded semiannually, there will be 2 compounding periods per year for a total of 10 compounding periods over 5 years.

Number of compounding periods = 2 x 5 = 10

Now we can use the formula for compound interest to calculate the amount of interest earned:

A = P(1 + r/n)^(nt)

Where:

A = the amount of money accumulated after n years

P = the principal amount (initial investment)

r = the annual interest rate

n = the number of times the interest is compounded per year

t = the number of years

Plugging in the values:

A = $700(1 + 0.02/2)^(2x5) = $799.29

The interest earned is the difference between the accumulated amount and the principal amount:

Interest earned = $799.29 - $700 = $99.29

Therefore, the interest earned over 5 years on an investment of $700 at a 4% annual interest rate, compounded semiannually, is $99.29.

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Answer:

To find the width of the microchip in Trey's new scale drawing, we need to apply the new scale of 3 inches to 1 centimeter. If the actual width of the microchip is 2 centimeters, we can multiply it by the new scale to find the equivalent width in inches.

So, the width of the microchip in Trey's new scale drawing would be 2 centimeters * (3 inches/1 centimeter) = 6 inches.

Step-by-step explanation:

Answer:

\(r = \sqrt{\frac{3V}{\pi h}}\)

Step-by-step explanation:

Given

\(V = \frac{1}{3}\pi r^2h\)

Required

Solve for r

\(V = \frac{1}{3}\pi r^2h\)

Multiply both sides by 3

\(3 * V = \frac{1}{3}\pi r^2h * 3\)

\(3 V = \pi r^2h\)

Divide both sides by \(\pi h\)

\(\frac{3V}{\pi h} = \frac{\pi r^2h}{\pi h}\)

\(\frac{3V}{\pi h} = r^2\)

Take square root of both sides

\(\sqrt{\frac{3V}{\pi h}} = \sqrt{r^2}\)

\(\sqrt{\frac{3V}{\pi h}} = r\)

\(r = \sqrt{\frac{3V}{\pi h}}\)

An equation that can be used to determine the number of hours, h, that Moira needs to read to finish the book is h + 178 = 214.

In order to write an equation that model this situation, we would assign a variable to the number of hours that is needed to read to finish the book and the total number of hours respectively, and then translate the word problem into algebraic equation as follows:

Next, we would translate the word problem into an algebraic equation based on the fact that she read for 178 hours yesterday as follows;

h + 178 = T

Substituting the given parameters into the algebraic equation, we have the following;

h + 178 = 214

Solving for h, we have the following;

h = 214 - 178

h = 36 hours.

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Answer:

Points R, S, T, Q on circle O is given

and points are central arc

Step-by-step explanation:

Answer:

P(x) = 35,900 + 2,800(x-1)

Step-by-step explanation:

P(x)

P(1) = $35,900

P(4) = $44,300

Difference in profits

P(4) - P(1)

= P(3)

= $44,300 - $35,900

= $8,400

Rate of change per year = $8,400 / 3

= $2,800 per year

The linear equation

P(x) = 35,900 + 2,800(x-1)

Where

x = number of years

Ok, so

We have that, for option 1:

The total cost of the service will be:

20x + 45. Where x is the number of months.

Fot option 2, the total cost will be:

35x + 0. Where x is the number of months.

If we equal both equations, we obtain:

20x + 45 = 35x.

Now, we have to solve this equation to find the number of months in which the cost will be the same for two options.

Then, 45 = 15x and x=3.

So, the number of months is 3.

Then, that cost can be found, if we replace x=3 in any equation. For example, in equation 2:

Cost = 35x which is equal to 35*3 and this is 105.

So, after 6 months:

Option 1 will be equal to: 20(6) + 45 and this is: 165$.

Option 2 will be equal to 35(6) and this is: 210$.

Then, Option 1 will be the cheaper option.

Answer:

B

Step-by-step explanation:

took test :)

The correct answer is (E) The possible p-values are 0.22 and 0.88.

If the experimenter conducted a one-tailed hypothesis test on the same set of data, the possible p-value(s) that they could have obtained would depend on the direction of the test.

In a one-tailed test, the hypothesis is directional and the experimenter is only interested in one side of the distribution (either the upper or lower tail). Therefore, the p-value would only be calculated for that one side.

If the original two-tailed test had a p-value of 0.44, it means that the null hypothesis was not rejected at the significance level of 0.05 (assuming a common level of significance).

If the experimenter conducted a one-tailed test with a directional hypothesis that was consistent with the direction of the higher tail of the original two-tailed test, then the possible p-value would be 0.22 (half of the original p-value). If the directional hypothesis was consistent with the lower tail of the original two-tailed test, then the possible p-value would be 0.88 (one minus half of the original p-value).

Therefore, the correct answer is (E) The possible p-values are 0.22 and 0.88.

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Answer:

1 hr, 48 minutes

Step-by-step explanation:

you can create a proportion:

doughnuts/hours = doughnut/hours (h)

1500/9 = 300/h

cross-multiply to get:

1500h = 2700

h = 27/15

h = 1 12/15, which is 1 hr, 48 minutes because 12/15 = 48/60

Answer:

X= 5, -2

Step-by-step explanation:

This would be the answer if you are looking to "solve"

The difference in the shortest collection times before and after the well installation is 20 minutes, calculated by subtracting the shortest time after installation (25 minutes) from before (45 minutes), as shown in the box and whiskers plot.

This is calculated by subtracting the shortest collection time after well installation (25 minutes) from the shortest collection time before well installation (45 minutes):

45 - 25 = 20 minutes.

This can be seen in the box and whiskers plot provided, where the lowest value for each distribution is denoted by the beginning of the whiskers.

So, the difference is before and after the well installation is 20 minutes.

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--The given question is incomplete, the complete question is given

" What is the difference in minutes between the shortest collection times before and after the well was installed"--

The required scale factor  for the given line segment is 2.

In math, a line segment  is limited by two unmistakable focuses on a line. Or on the other hand we can say a line portion is essential for the line that interfaces two focuses. A line has no endpoints and broadens endlessly in both the bearing yet a line fragment has two fixed or positive endpoints.

Scale factor is the number used to duplicate one item by to get another item that appears to be identical however is an alternate size. It makes a precise duplicate just bigger or more modest than the first. Scale Variable increases the image or item similarly as though you broadened or shrank it on a copier.

We have,

QS : QS' = 4 : 8 = QU : QU' = 5 : 10 = 1 : 2

Then the scale factor is of the dilation is 2 (magnification)

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The property of real numbers illustrated by the equation -(2t - 11) = 11 - 2t is the commutative property of addition.

Given that an expression we need to determine which property does it follow,

The commutative property of addition states that the order of numbers can be changed without affecting the result when adding them together. In other words, for any real numbers a and b, the sum of a and b is the same regardless of the order in which they are added.

In the given equation, we can observe that the terms on both sides of the equation involve addition and subtraction. By rearranging the terms, we can rewrite the equation as 11 - 2t = -(2t - 11).

This shows that the terms 11 and 2t have been swapped in their positions without altering the equality of the equation. This swap of terms demonstrates the commutative property of addition.

So, the commutative property of addition is illustrated in the equation -(2t - 11) = 11 - 2t by the interchangeability of the terms without affecting the solution or outcome.

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Answer:

63.66 mm

Step-by-step explanation:

Answer:

Step-by-step explanation:

h= 19 yards, r=7yards, v=?,Π= 3.14

Vol. Of a cone = 1/3×h×Π×r²

V= 1/3×19×3.14×7²

V= 2923.34/3

V=974.45

To the nearest hundredth

V=974cm³

Answer: 25%

Step-by-step explanation:

Answer:

25% As a decimal its 0.25

Step-by-step explanation:

The equation of the line that is perpendicular to the line 3y - 4x = 6 is: c. 4y + 3x = 8.

The lines that are perpendicular to each other have slope value of their equation, m, that are negative reciprocals of each other or the product of their slopes is equal to -1.

Given the line 3y - 4x = 6, rewrite the equation in slope-intercept form, y = mx + b, and determine the value of m:

3y = 4x + 6

Divide both sides by 3

3y/3 = 4x/3 + 6/3

y = 4/3x + 2

The slope (m) = 4/3.

The slope of the line that would be perpendicular to the line 3y - 4x = 6, will have a slope of -3/4, which is the negative reciprocal of 4/3.

Rewrite 4y + 3x = 8 in slope-intercept form:

4y = -3x + 8

4y/4 = -3/4x + 8/4

y = -3/4x + 2

The slope of 4y + 3x = 8 is -3/4.

Therefore, the perpendicular line is: c. 4y + 3x = 8.

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