Find the greatest common divisor d of 3982 and 29874, express d in the form d = $3982 + t29874, = where s and t are integers and explain how you can find infinitely many pairs of integers (s', t') such that kd = s'3982 + t 29874 =

At the end of the fifth day, a bricklayer has laid 324 bricks on the job.

Multiplication is a mathematical arithmetic operation.

It is also a process of adding the same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given, a bricklayer lays 4 bricks on the first day on the job.

On each day thereafter, he lays three times the number of bricks he laid on the previous day.

And he continued his pattern.

Let x be the number of bricks he laid in the previous day.

Then according to the question,

The number of bricks in total is = 3x

For the second day, x =4

Number of the bricks he laid on the second day = 12

Now the x =12 for the third day.

Number of the bricks he laid on the third day = 36

Now x = 36 for the fourth day.

Number of the bricks he laid on the fourth day = 108

Now the x = 108 for the fifth day.

Number of the bricks he laid on the fifth day = 324

Therefore, 324 bricks he has laid at the end of the fifth day.

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When the powderman heard the blast, he had run approximately 975,840 yards.

The time it took for the blast sound to reach the powderman can be calculated by dividing the distance traveled by the speed of sound. In this case, the distance traveled is not given directly, but we can calculate it using the powderman's running speed and the time it took for the blast to occur. The powderman ran away at a rate of 88 yards per second, and the blast was set to occur in 3030 seconds.

Multiply the powderman's running speed (88 yards per second) by the time it took for the blast (3030 seconds) gives us the distance covered by the powderman, which is approximately 267,840 yards. However, it's important to note that the question asks for the distance in yards, while the given information provides the speed of sound in feet per second.

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Answer:

SA = 384 in²

Step-by-step explanation:

Assuming we're finding surface area:

SA of top of large cube: 8(8) - 4(4) = 48 in²

SA of sides of large cube: 4(8)(8) = 256 in²

SA of exposed faces of small cube: 5(4)(4) = 80 in²

Total = 48 + 256 + 80 = 384 = ∑SA

Let the original cost of the jacket be x.

Now, saying that one-third of the original cost of the jacket is $34, is mathematically equivalent to:

Now we have to solve the resulting equation in order to obtain the value of x

This is done as follows:

Therefore, the original cost of the jacket is $102

Answer:

4 6/7

Step-by-step explanation:

(Not really sure you should go with whatever answer you're sure of)

or 4 1/6

Answer:

B. 4 2/3

it's right, I took this last year.

Answer:

\(3.8 \times 52 \\ \frac{988}{5} \\ 197.6\)

Answer:

 10 1/4

Step-by-step explanation:

Answer:

i will help in a sec

Step-by-step explanation:

Answer:

ans is S=1

Step-by-step explanation:

7s=7

s=7/7

s=1

Hey there!

Not very sure if you mean \((\frac{5}{6x} )\) or \((\frac{5}{6}x)\), but I'll solve both

\(\frac{5}{6} x-9+3-\frac{2}{3}\)

First step is to simplify:

\(\frac{5}{6} x+-9+3+\frac{-2}{3}\)

Now, we need to combine Like Terms:

\((\frac{5}{6}x)+(-9+3+\frac{-2}{3} )\)

\(\frac{5}{6} x+\frac{-20}{3}\)

\(\frac{5}{6x} -9+3-\frac{2}{3}\)

Simplify:

\(\frac{5(1-8x)}{6x} or\frac{-40x+5}{6x}\)

Hope this helps!

ANSWER

p = 6

EXPLANATION

Given:

1 + 3p = 19

Desired Outcome:

The value of P.

Solve for P

1 + 3p = 19

Subtract 1 from both sides

1 + 3p - 1 = 19 - 1

3p = 18

Divide both sides by 3

3p/3 = 18/3

p = 6.

Hence, the value of p = 6.

Answer:

Yes

Step-by-step explanation:

Your welcome!

Have a good day! :)

Answer:

24

Step-by-step explanation:

if 2and a half=60 .what about 1

Answer:

$24.00

Step-by-step explanation:

2 \(\frac{1}{2}\)/ 2.5 liters = $60.00

1 liter = $60 ÷ 2.5 = $24.00

If the dimensions of the prism are doubled the surface area of the enlarged prism is 640 cm²

where

h = height

l = length

w = width

Therefore, if the dimension of the prism are doubled the new dimension will be as follows:

l = 5(2) = 10 cm

w = 2(2) = 4 cm

h = 10(2) = 20 cm

Therefore,

surface area = 2(10 × 4) + 2(10 × 20) + 2(20 × 4)

surface area = 2(40) + 2(200) + 2(80)

surface area = 80 + 400 + 160

surface area = 640 cm²

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Volume

The expression 16.8÷(-3.5) is simplified to -4.8

PEDMAS is defined as a mathematical acronym housing the arithmetic operations.

The different alphabets represents;

Note that each operation comes before the other and not the other way during calculations.

From the information given, we have that;

16.8÷(-3.5)

expand the bracket

16. 8 ÷-3.5

Divide the values

-4.8

Hence, the value is -4.8

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Step-by-step explanation:

m = (y2 - y1)/(x2 - x1)

= 5 -(-1) / -3-6

= 6/-9

= -2/3

(y - y1) = m(x - x1)

y -(-1) = -2/3(x - 6)

y + 1 = -2/3x + 4

y = -2/3x + 3

Answer:

6×pi ft

Step-by-step explanation:

the area of a circle is

pi × r²

with r being the radius of the circle.

so,

9×pi = r² × pi

9 = r²

r = 3 ft

the circumference of a circle is

2×pi× r

that means in our case it is

2×pi×3 = 6×pi ft

1   Y is distributed as N(aμ + b, a^2σ^2), as desired.

2  We have shown that under these conditions, E[XY] = E[X]E[Y].

To prove that Y is distributed as N(aμ + b, a^2σ^2), we need to show that the mean and variance of Y match those of a normal distribution with parameters aμ + b and a^2σ^2, respectively.

First, let's find the mean of Y:

E(Y) = E(aX + b) = aE(X) + b = aμ + b

Next, let's find the variance of Y:

Var(Y) = Var(aX + b) = a^2Var(X) = a^2σ^2

Therefore, Y is distributed as N(aμ + b, a^2σ^2), as desired.

We can use the definition of covariance to prove that E[XY] = E[X]E[Y]. By the properties of expected value, we know that:

E[XY] = ∫∫ xy f(x,y) dxdy

where f(x,y) is the joint probability density function of X and Y.

Then, we can use the fact that X and Y are independent to simplify the expression:

E[XY] = ∫∫ xy f(x) f(y) dxdy

= ∫ x f(x) dx ∫ y f(y) dy

= E[X]E[Y]

where f(x) and f(y) are the marginal probability density functions of X and Y, respectively.

Therefore, we have shown that under these conditions, E[XY] = E[X]E[Y].

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Answer:

1,558 cases of 12 cans of soup can be made

Step-by-step explanation:

Here, we want to calculate how many cases of cans of soup can be made;

In the first part, we had 325 cases of 24 cans

Now, if we split the 24 cans into 2 , we have 12 cans ; So the number of cases is now 325 * 2 = 650 cases

In the second part, we had 227 cases of 48 cans

If we split 48 cans into 4 , we can have 12 cans

So the new number of cases here become 227 * 4 = 908 cases

So the total number of cases we have will be;

908 + 650 = 1,558 cases

Answer:

my answer is 2 . 3 I think

Step-by-step explanation:

2)4(5x+6)

3)a)its 4x not 16x because 2x+ 6x is 8x and 8x-4x=4x

b)2x+6x-4x=15+12-3

4x=24

x=24/4=6

that's all I can answer

Answer:

Step-by-step explanation:

From March 5th to May 31st, that is 88 days.

So, you need to do 76 lessons in 88 days = 12.6 weeks.

You need to do 76 : 12.6 = 6.03174603.... (round to 6) lessons per week.

Answer:

26

Step-by-step explanation:

w = 5 so 7w is 7 x 5 = 35 and x = 9 so it’s 35 - 9 which is 26

Answer:

0.8

Step-by-step explanation:

4/5, you divide 5 from 4 and get 0.8

Answer:

q ^ p

Step-by-step explanation:

The symbolic form of the statement would be:

q ∧ p

Where q represents "m angle A + m angle B = 180°" and p represents "angle A and Angle B are supplementary".

The ∧ symbol represents "and" in logic, so the statement can be read as "q and p".

Answer:

x = - 2 ± \(\sqrt{70}\)

Step-by-step explanation:

(x + 2)² - 46 = 24 ( add 46 to both sides )

(x + 2)² = 70 ( take square root of both sides )

x + 2 = ± \(\sqrt{70}\) ( subtract 2 from both sides )

x = - 2 ± \(\sqrt{70}\)

then solutions are

x = - 2 - \(\sqrt{70}\) , x = - 2 + \(\sqrt{70}\)

Answer:

\(y = \frac{-6x+1}{3}\)

Step-by-step explanation:

\(3y = -6x + 1\)

\(y = \frac{-6x+1}{3}\)

I would appreciate it if you mark my answer as brainliest.

Answer:

4x² - 35

Step-by-step explanation:

Split the polygon into two rectangles and find the areas of the two rectangles, then add them together.

x(3x - 2) + (x - 5)(x + 7)

Expand the brackets.

3x² - 2x + x(x+7) - 5(x+7)

3x² - 2x + x² + 7x - 5x - 35

Add or subtract like terms.

4x² - 35

The value of x is 13.85.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

From the figure,

(7x + 1)° and (6x - 1)° makes a straight angle.

This means,

(7x + 1) + (6x - 1) = 180

7x + 1 + 6x - 1 = 180

13x = 180

x = 180/13

x = 13.85

Thus,

x is 13.85°

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The Excel feature that has been updated to let you simultaneously view as many as six statistics about a cell selected in the work area is called the "Quick Analysis Tool."

This tool was first introduced in Excel 2013 and has since been updated in later versions of Excel.

To use the Quick Analysis Tool, simply select the cell or range of cells that you want to analyze. Once selected, a small icon will appear in the bottom right corner of the selection.

Clicking on this icon will open up a menu of options, including formatting, charts, totals, tables, and sparklines.

The "totals" option is where you can find the six statistics about the selected cell or range of cells. These statistics include average, count, numerical count, maximum, minimum, and sum.

By selecting this option, Excel will automatically calculate these statistics and display them in a small table next to your selection.

This feature is particularly useful for quickly analyzing data without having to manually calculate each statistic. It also allows you to easily compare multiple cells or ranges of cells by displaying their statistics side by side.

In addition to the Quick Analysis Tool, Excel also has several other features for analyzing data, including PivotTables and PivotCharts. These tools allow you to summarize and visualize large amounts of data in a variety of ways.

Overall, the Quick Analysis Tool is a powerful and convenient feature that can save time and improve productivity when working with data in Excel.

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