jordan is chopping wood for the winter. for 10 days on a row he follows the same process: in the morning he chops 20 pieces of wood and in the evening he chops an additional 30 pieces of wood on the 11th day jordan chops only 5 pices of wood write a numerical expression with parentheses for the total number of pieces of wood jordan chopped. (do not simplify your expression)

Answer : The expression to represent the length of each side of the rug is, [tex]Side=10x+3[/tex]

Step-by-step explanation :

As we know that the formula of area of square is:

Area of square = (Side)²

Given:

Area of square = [tex]100x^2+60x+9[/tex]

As,

Area of square = (Side)²

So,

[tex]100x^2+60x+9=(Side)^2[/tex]

[tex]\sqrt{100x^2+60x+9}=Side[/tex]

[tex]\sqrt{100x^2+30x+30x+9}=Side[/tex]

[tex]\sqrt{10x(10x+3)+3(10x+3)}=Side[/tex]

[tex]\sqrt{(10x+3)(10x+3)}=Side[/tex]

[tex]\sqrt{(10x+3)^2}=Side[/tex]

[tex](10x+3)=Side[/tex]

or,

[tex]Side=10x+3[/tex]

Thus, the expression to represent the length of each side of the rug is, [tex]Side=10x+3[/tex]

Answer:

100x=256.25

Step-by-step explanation:

x/1025=25/100

What is 25% of 1025

that would be 1025×25

100x=256.25

Answer:

$5

Step-by-step explanation:

So we know that altogether Michael paid $12 right?

So if his brother's price is x  then his price is x+2

so 2x+2=12 x=5

Michael's brother's price was $5

and his was $7

In this mathematics problem, Michael's brother's movie ticket cost $10, arrived at by subtracting $2 from the total cost of $12.

This is a simple subtraction problem. According to the problem, Michael paid $12 total, with his brother's ticket costing $2 less. Therefore, if we subtract $2 from Michael's ticket, we will have the cost of his brother's ticket.

Here are the steps:

Therefore, his brother's ticket cost $10.

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Answer:

Step-by-step explanation:

The absolute value of x is x.

y = 2x

Use the rise over run method.

2 is the same as 2/1. So, you rise 2 square up from the origin and then go over one, repeating the process. To do it in the negative zone, you just work backwards. Down two and left one.

You should have a diagonal line going from left to right that goes through the origin. Linear equations never end. They continue on forever, so your domain would be (-infinity, infinity) and your range would be (-infinity, infinity). Be sure to use the symbol for infinity instead of the word. The symbol, in case you do not know, looks like an 8 rotated 90 degrees.

Answer:

1 solution

Step-by-step explanation:

Remark

1 solution

Rule: the number of solutions to an equation is at most the same number as the highest number on the variable. for example

x^3 + 4x^2 - 6x - 15 has at most 3 real solutions because the highest power is x^3

x^n + x^(n - 1) .... has at most n real solutions. It can have fewer.

Solution

So 6 - 3x= 12 - 6x                       Subtract 6 from both sides

6 - 6 - 3x = 12 - 6 - 6x                 Combine

-3x = 6 - 6x                                 Add 6x to both sides

-3x + 6x = 6                                Combine

3x = 6                                         Divide by 3

x = 6/3 = 2

Check

6 - 3(2) = 12 - 6(2)

0 = 0 which checks

The equation 6 —3x = 12 — 6x has one solution, which is x=2.

The equation provided, 6 - 3x = 12 - 6x, necessitates an examination of its solutions. By following algebraic procedures, it can be simplified to 6 = 12 - 3x. Further steps, such as subtracting 12 from both sides, lead to -6 = -3x. Dividing both sides by -3 results in x = 2. This mathematical process reveals a unique solution: x = 2. Consequently, the original equation confirms that there is only one valid value for x, emphasizing the equation's ultimate simplicity with a single solution.

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Answer:

8) v = 312

9) s = -12/13

Step-by-step explanation:

8) Multiply left and right by -14, then you get

v-18 = -21*-14

v-18 = 294

Add 18 left and right:

v = 294 + 18

v = 312

9) Add 26 left and right

-13s = -14 + 26

-13s = 12

Divide left and right by -13

s = -12/13

Answer: 5/x + 1 is not linear. 2/3 is linear because it is a straight line across. 1-2x^2 is not linear because it is a parabola.

Answer:

3.6 (5×4) ÷ 3+5.0

3.6.20/3+5.0

9.20/3+5.0

9.5+5.0

45+5.0

45

Step-by-step explanation:

45

The value of the given expression is 45.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The given expression is solved as,

E = 3.6 (5×4) ÷ 3+5.0

E = 3.6.20/3+5.0

E = (1.2 x 20/3 ) + 5.0

E = (1.2 x 20 ) + 5.0

E = 24 + 5

E = 29

Therefore the value of the given expression is 45.

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bearing in mind that

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

[tex]\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{0})~\hspace{10em} slope = m\implies \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-0=\cfrac{1}{3}(x-0) \\\\\\ y=\cfrac{1}{3}x\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3y=x\implies -x+3y=0}\implies \stackrel{\textit{standard form}}{x-3y=0}[/tex]

Answer: Infinitely many solutions

The second equation is equivalent to y = 2x - 5 when we subtract 5 from both sides, but this is the exact same as the first equation given to us. So we effectively have 2 copies of the same thing. One is just written in a different format.

Graphing these equations leads to the straight line. One line will be right on top of the other one. The two lines intersect an infinite number of times leading to infinitely many solutions. Any solution point is simply a point on the line y = 2x-5. The solution ordered pair is of the form (x,y) = (x, 2x-5). Two example points on this line are (0,-5) and (1,-3)

side note: We can say that this system is consistent (because it has at least one solution) and it's also dependent (because one equation depends on the other; or it is basically a copy)

[tex]2y^2=1.44\qquad\text{divide both sides by 2}\\\\y^2=\dfrac{1.44}{2}\to y=\pm\sqrt{\dfrac{1.44}{2}}\\\\y=-\dfrac{\sqrt{1.44}}{\sqrt2}\ \vee\ y=\dfrac{\sqrt{1.44}}{\sqrt2}\\\\y=-\dfrac{1.2}{\sqrt2}\ \vee\ y=\dfrac{1.2}{\sqrt2}\\\\y=-\dfrac{1.2\cdot\sqrt2}{\sqrt2\cdot\sqrt2}\ \vee\ y=\dfrac{1.2\cdot\sqrt2}{\sqrt2\cdot\sqrt2}\\\\y=-\dfrac{1.2\sqrt2}{2}\ \vee\ y=\dfrac{1.2\sqrt2}{2}\\\\\boxed{y=-0.6\sqrt2\ \vee\ y=0.6\sqrt2}[/tex]

Answer:

y = 7/5 x + 31

Step-by-step explanation:

To find the slope, we need to use the formula

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

m =(-4-17)/(5- -10)

   = -21/(5+10)

  = 21/15

Divide the top and bottom by 3.

  = 7/5

The slope is 7/5.

Using the point slope form of the equation,

y-y1 = m(x-x1)

y-17 = 7/5 (x--10)

y-17 = 7/5(x+10)

Distribute the 7/5 ths.

y-17 = 7/5 x + 7/5*10

y-17 = 7/5 x +14

Add 17 to each side

y = 7/5 x + 14 + 17

y = 7/5 x + 31

This is in slope intercept form, with the slope  being 7/5 and the y intercept of 31

Answer:

C.  -5x − 3y = 0

Step-by-step explanation:

A(-3, 0) and B(-6, 5)

First we find the slope of line AB

[tex]slope = \frac{y_2-y_1}{x_2-x_1} =\frac{5-0}{-6+3} =\frac{-5}{3}[/tex]

Slope of the line parallel to AB =  slope of line AB

When the lines are parallel then their slope are equal

So the slope of line parallel to AB = [tex]\frac{-5}{3}[/tex]

The line passes through the origin (0,0)

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

m = -5/3 , x1=0 and y1=0

[tex]y-0 = \frac{-5}{3}(x-0)[/tex]

[tex]y= \frac{-5}{3}(x)[/tex]

multiply the whole equation by 3

3y = -5x

Subtract 3x from both sides

0=-5x-3y

-5x - 3y =0

Answer:

communicative property of addition

Step-by-step explanation:

associative property of addition   is   (EX)     x + (a + 4) = (x + a) + 4

associative property of multiplication   is   (EX) 5(ab) = (5a)b

communicative property of multiplication   is  (EX) (2)(a) = (a)(2)

Final answer:

The equation 6+4=4+6 is an example of the commutative property of addition, stating that the order of addition does not affect the sum.

Explanation:

The equation 6+4=4+6 illustrates the commutative property of addition, which states that the order in which two numbers are added does not affect the sum. This is expressed mathematically as A+B=B+A. For ordinary numbers, if you add 2 + 3 or 3 + 2, for example, both expressions will equal to the same result - 5. The commutative property is also applicable to the addition of vectors, where the order of vectors being added together does not change the resultant vector.

Answer:

184

Step-by-step explanation:

We are rounding at the 3, so we need to look at the next digit 9.

9>=5 so we will round the 3 up to 4

183.92 rounds to 184

Answer:

184

Step-by-step explanation:

183.92

Look at the digit directly to the right of the given digit. It is a 9. Because 9 is greater than 3, round up.

183.92 rounded to the nearest one place is 184.

184 is your answer

~

Answer:

-5 + 6i

Step-by-step explanation:

(-3)+(-2)+(3i)+(3i) = -5 + 6i

Answer: Choice C) line L is parallel to line M by the converse of the same side interior angle theorem

The same side interior angle theorem says that if two lines are parallel (such as L and M) then the same side interior angles that form are supplementary, meaning they add to 180 degrees.

Flip this in reverse, and you'll get the converse which says that if the same side interior angles add to 180, then the lines must be parallel.

note: if line Q is making things more complicated and confusing, then I suggest covering it up or drawing out the diagram again but leaving out line Q

Answer: v=10

Step-by-step explanation:

Checked work

V=16-6

10+6=16

16=16

Answer:

Carman run 22 laps

(5 1/2) / (1/4)    convert 5 1/2 to an improper fraction

(11/2) /(1/4)     when you divide the second number you flipped and multiply

11/2 * 4/1

22

Answer:

99 yd

Step-by-step explanation:

When I add these, I line them up vertically

  29 yd. 2ft. 11 in.

+ 55 yd. 1 ft. 10 in.

+ 13 yd. 1 ft.  3 in.

---------------------------

97 yd  4ft   24 in

We know that 12 in = 1 ft

so 24 in = 2ft

Subtract 24 in and add 2 ft

97 yd  4ft   24 in

           +2ft  -24 in

------------------------------

97  yd   6ft

We know 3 ft = 1yd

so 6ft = 2yd

Subtract 6ft and add 2 yd

97  yd   6ft

+2yd   - 6ft

-------------------

99 yd

Answer:

(5/9)(v – 1)  

Step-by-step explanation:

(2/9)v - ((-1/3)v +5/9)     Remove parentheses

= (2/9)v + (1/3)v - 5/9    Multiply each term by 9/9

= (2/9)v + (3/9)v - 5/9   Combine like terms

= (2v + 3v)/9 -5/9         Combine like terms

=  5v/9 - 5/9                 Factor out 5/9

= (5/9)(v – 1)

Answer:

80 spaces

Step-by-step explanation:

[tex]a\cdot a\cdot a=216\\\\a^3=216\to a=\sqrt[3]{216}\\\\\boxed{a=6}\\\\\text{Substitute}\ b\cdot c=52\ \text{to the second expression}\ a\cdot b\cdot c=96:\\\\abc96\ \wedge\ bc=52\to a(52)=96\qquad\text{divide both sides by 52}\\\\a=\dfrac{96}{52}\to a=\dfrac{24}{13}\neq6[/tex]

a = 6 and a = 24/13  FALSE!!!

Answer: Hello mate!

You have one $20 bill, two $10 bills, three $5 bills and four $1 bills in a bag.

This adds to a total of 10 bills in the bag, and you want to know the expected value if you took one at random.

The expected value is defined as ∑pₙxₙ

where pₙ is the probability for each event (in this case is the number of bills of a given price divided the number of bills in the bag) and xₙ is the value of the bill.

Then we can write the expected value as:

E = (1/10)*$20 + (2/10)*$10 + (3/10)*$5 + (4/10)*$1 = (1/10)( 20$ + 2*$10 + 3*$5 + 4*$1) = (1/10)*($59) = $5.90

The expected value is $5.90.

The expected value of the amount chosen from a bag containing a $20 bill, two $10 bills, three $5 bills, and four $1 bills is $5.9.

In order to find the expected value of the amount chosen from the bag of bills, we need to first calculate the total monetary value of all the bills in the bag and divide it by the total number of bills. The total value is calculated as follows:

Adding up these amounts, we get a grand total of $20 + $20 + $15 + $4 = $59. Since there are 1+2+3+4 = 10 bills in the bag, the expected value is found by dividing the total value by the total count of bills: $59 / 10 = $5.9. Thus, if a bill is chosen at random from the bag, the expected value of the amount chosen is $5.9.

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Answer: 60 percent attendance was increased .

Step-by-step explanation

Number of people Last year = 950

Number of people this year  = 1520

Increase =   this  year - last year

               = 1520 - 950

                = 570

      Percentage increase = [tex]\frac{increase }{last year}  100[/tex]

                                            =   570 / 950  x 100

                                             =  60

Answer:

The first step is to add 7 to each side

Step-by-step explanation:

2x-7 = 18

To solve this equation, the first step is to add 7 to each side

2x-7+7 = 18+7

2x = 25

Answer:

the first step is to add 7 to both sides.

Step-by-step explanation:

           2x-7 = 18

               +7    +7

              2x = 25

divide by 2

              25/2 = 12.5

so x= 12.5

Answer:

c = 7

Step-by-step explanation:

given 2c = c + 7 ( subtract c from both sides )

c = 7

Answer:

9 is the correct answer.

Step-by-step explanation:

The general form of the determinant of the given system

ax + by = e

cx + dy = f

is [tex]\begin{vmatrix}a & b\\ c & d\end{vmatrix}[/tex]

Now, we have the given system, i.e.

2x - y = 5

x + 3y = 7

The y-determinant of a system is formed by taking the constant terms and placing them in the y‐coefficient positions in the general determinant form and keeping the x-coefficients same.

So, we get,

[tex]\begin{vmatrix}2 & 5\\ 1 & 7\end{vmatrix}[/tex]

Solve the above determinant i.e. 2*7 - 1*5 = 14 - 5 = 9

Hence, the value of y-determinant is 9.

The tree started at 8 feet tall then grows a given amount per year.

You need to multiply the growth per year by the number of years and add it to the beginning height:

So for the Sycamore tree it would be 8 + 2.5x, so for 5 years it would be 8 +2.5(5) = 8 + 12.5 = 20.5

You do not show the possible answers, but you should be able to use the above example to figure it out.