Colin meets three wooden boards to repair his porch.The length he needs are 2.2 meters,2.82 meters,and 4.25 meters.He purchases a board that is 10 meters long and cuts the three sections.how much of the board that Colin purchased will be left.

Answers

Answer 1

Answer:

Answer:

0.73 meter board that Colin purchased will be left.

Step-by-step explanation:

Given : Colin meets three wooden boards to repair his porch.The length he needs are 2.2 meters,2.82 meters,and 4.25 meters.He purchases a board that is 10 meters long and cuts the three sections.

To find : how much of the board that Colin purchased will be left.

Solution : We have given

He needs 2.2 meters,2.82 meters,and 4.25 meters.

He purchased = 10 m long board.

Total board he needs = 2.2 + 2.82 + 4.25 = 9.27 meter.

Hence 9.27 meter board he need to use .

Board left = 10 - 9.27 = 0.73 meter.

Therefore, 0.73 meter board that Colin purchased will be left.

Answer 2

Answer: 2.2+2.82+4.25=9.2710-9.27=.73So .73 is left of the board

Answer:

Three different addy numbers are possible. They are 12358, 21347 and 31459.

Step-by-step explanation:

Let the 1st two digits of the numebr be x and y

Given that, 1st digit = x

2nd digit = y

3rd digit = x + y

4th digit = x + 2y

5th digit = 2x + 3y

None of the diigts can be 0 because then x = y, also none of the digits can be more tan 9 which limits the possible first digits as 1,2 and 3

(i) consider x= 1,hence 2x + 3y < 10

2 + 3y < 10

3y < 8

which makes y < $2(2)/(3)$ , since y cant be 1, it is 2

sub x = 1, y = 2 we get the number as 12358.

(ii) consider x= 2,hence 2x + 3y < 10

4 + 3y < 10

3y < 6

which makes y < 2,then y becomes 1

sub x = 2, y = 1 we get the number as 21347.

(iii) consider x= 3,hence 2x + 3y < 10

6 + 3y < 10

3y < 4

which makes y < $1(1)/(3)$ , then y becomes 1

sub x = 3, y = 1 we get the number as 31459.

Final answer:

There are 26 unique addy numbers. The possible first digits for an addy number are only 1 through 4. The rest of the digits are deterministically found by the sums of adjacent digits and condition of each digit being unique.

Explanation:

An 'addy' number is a 5-digit number with specific addition rules between adjacent digits. To determine how many possible addy numbers there are, we need to analyze the rules and work out possible combinations.

Firstly, no digit can be zero because all digits must be a part of the sum which means the minimum value should be 1. And, as we move forward, since each number must be unique, it limits our possibilities of choosing values.

Consider the following: If the first digit is 1, the second could be any number from 2 to 9 (8 choices). The resulting third digit would be uniquely determined since it is the sum of the first two digits. This continues through the rest of the number, with each subsequent digit determined by the sum of the previous two digits. The only restriction is that a digit cannot be repeated, and thus the sum of two digits cannot go above 9.

By trying this approach with different starting numbers (1 through 4), we realize that the maximum number of unique addy numbers can be calculated as the sum of the series 8, 7, 6, 5 which is 26.

Learn more about Addy Numbers here:

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Pls help me i dont need the work shown i just need the answer

Answers

5. y=2x-1
m=slope=2/1= 2
b=y intercept=(0,-1)= -1

6. y=-2x+2

Daniel grabbed a handful of heart shaped candies. 2/5 of the candy he grabbed were white. If there were 4 candies in his hand how many candies did he grab in all?

Answers

Now i got the answer you do:
2/5 x4=8/5
8/5 + 2/5=10/5
which is 10 candies

The line with equation ax+by=20 passes through the points(-2,10) and (1,5)
find a and b

Answers

$ax+by=20 \n \n(-2,10) \n \n a*(-2)+b*10 = 20 \n \n-2a +10b = 20 \n \n (1,5)\n \n a*1+b*5 = 20 \n \n a +5b = 20$

$\begin{cases} -2a+10b =20\n a+5b =20 \ /*2\end{cases} \n \n\begin{cases} -2a+10b =20\n 2a+10b =40 \end{cases}\n--------\n 20b=60 \ / :20 \n \nb=(60)/(20) =3$

$-2a+10b=20 \n \n-2a +10*3=20 \n \n-2a +30=20\n \n-2a=20-30\n \n-2a=-10 \ /: (-2)$

$a=(10)/(2)=5\n \n\begin{cases} a= 5 \nb=3\end{cases}$

$ax+by=20\n\nfor\ (-2;\ 10)\to x=-2;\ y=10\ substitute\n\n-2a+10b=20\n\nfor\ (1;\ 5)\to x=1;\ y=5\ substitute\n\n1a+5b=20\n\n\n \left\{\begin{array}{ccc}-2a+10b=20&/:2\na+5b=20\end{array}\right$
$+\left\{\begin{array}{ccc}-a+5b=10\na+5b=20\end{array}\right\n------------\n.\ \ \ \ \ \ \ 10b=30\ \ \ \ /:10\n.\ \ \ \ \ \ \ \ b=3\n\n\left\{\begin{array}{ccc}b=3\na+5b=20\end{array}\right\n\left\{\begin{array}{ccc}b=3\na+5\cdot3=20\end{array}\right\n\left\{\begin{array}{ccc}b=3\na+15=20\end{array}\right\n\left\{\begin{array}{ccc}b=3\na=20-15\end{array}\right\n\left\{\begin{array}{ccc}b=3\na=5\end{array}\right$

$Answer:a=5\ and\ b=3\to5x+3y=20.$

Graph the following inequality y≤-2 or y>1 (please)

Answers

Answer:

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Step-by-step explanation:

Sure! I can help you with that. To graph the inequality y ≤ -2 or y > 1, we will need to create two separate graphs and then combine them.

First, let's graph the inequality y ≤ -2. This represents all the values of y that are less than or equal to -2. We can represent this on a number line or a coordinate plane.

To graph y ≤ -2, we draw a horizontal solid line at y = -2 and shade everything below the line. This includes all the points on the line as well. It would look like this:

X------------ (y = -2)

Next, let's graph the inequality y > 1. This represents all the values of y that are greater than 1.

To graph y > 1, we draw a horizontal dashed line at y = 1 and shade everything above the line. This does not include any points on the line itself. It would look like this:

X------------ (y = -2)

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Now, to combine the two graphs, we shade the area that satisfies both inequalities. In this case, that would be everything above the line y = -2 and everything above the line y = 1. The shaded area would be above y = 1 because it satisfies the condition y > 1.

The final graph would look like this:

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This graph represents the solution to the inequality y ≤ -2 or y > 1.

Please Answer FastWhat is the exact area of a circle with a diameter of 18 feet?

A.
36π square feet

B.
81π square feet

C.
324π square feet

D.
1296π square feet