You are on a cycling trip around Europe with friends. You are coming towards the end of your trip and have been asked by an online cycling blog to give some details about the cost of your trip, the places you visited and how many kilometres you have cycled. Look at your kilometres cycled record for each week:

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:

Can you put a picture?

Step-by-step explanation:

Answer:

i need a picture

Step-by-step explanation:

The x-intercept of the equation y = -2.65x + 25 is approximately 9.43. The x-intercept generally represents the value of x at which y is zero or the point where correlation between x and y starts.

The x-intercept of a graph is the point at which the line crosses the x-axis. In terms of your equation y = -2.65x + 25, the x-intercept is found when y equals 0. By setting y equal to 0 and solving for x, we get: 0 = -2.65x + 25. Isolate x by dividing both sides by -2.65 and adding 25. This calculates to x ≈ 9.43. In terms of real life situations, the x-intercept often represents the value of x where y is nil or where the correlation between x and y begins. However, the real-world interpretation of this value depends on the context of the problem.

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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:

x = 9 and x = −15

Step-by-step explanation:

|2x + 6| − 4 = 20

Add 4 to each side

|2x + 6| − 4+4 = 20+4

|2x + 6|  = 24

Now we have an absolute value equation that has the absolute value isolated.  We can separate them, have two equations, one positive and one negative.

2x+6 =24   and 2x+6=-24

Subtract 6 from each side

2x+6-6=24 -6    2x+6-6 = -24-6

2x = 18                   2x =-30

Divide by 2

2x/2 = 18/2          2x/2 = -30/2

x =9                        x=-15

Answer: D) 4/5

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Explanation:

There are a few ways to see how this is the answer.

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The first is to notice how 16/20 = 0.80 when using long division or a calculator. At the same time, 4/5 = 0.80 as well. So that means 16/20 = 4/5.

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Another way to see how this works is to multiply top and bottom of 4/5 by 4. So we have 4*4 = 16 as the new numerator and 5*4 = 20 as the new denominator. Going in reverse, you can divide each piece of 16/20 by the GCF 4 to reduce this fraction into 4/5.

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Finally, we can equate the two fractions and cross multiply

16/20 = 4/5

16*5 = 20*4

80 = 80

Both sides are the same value, so that confirms the original equation is true as well.

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)

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:

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.

Answer:

c = 7

Step-by-step explanation:

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

c = 7

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:

$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: 169.7

Step-by-step explanation:

Answer:

There are 1,014 kilograms of rice in 6 stacks of rice. 5 kilograms of rice remain.

Step-by-step explanation:

7 ÷ 1188 = 169

169 × 6 = 1,014

Answer:

-5 + 6i

Step-by-step explanation:

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

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: 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.

[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:

80 spaces

Step-by-step explanation:

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:

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:

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.

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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

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99 yd

[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:

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: 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)

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:

Rounding to the whole number or an estimation.

Step-by-step explanation: Pretty sure there isn't really a name for this

Rounding a number to its first digit is known as rounding to the nearest whole number. This method simplifies calculations while maintaining a number's approximate value.

The process of rounding a number to its first digit is often referred to as rounding to the nearest whole number. For example, if you have a number like 4.58, rounded to the nearest whole number it's 5, because the number next to 4 is 5 which is equal or higher than 5. But if the number was 4.42, rounded to the nearest whole number it's 4, because the number next to 4 is 2 which is less than 5. This rounding method applies when you want to make calculations simpler, while still keeping the number's value close to what it was.

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You will have the points: (0,0) and (1,10) and (2,20) and (3,30) etc etc

Plot at least 2 of these points. Then draw a line through them.

Each point has an x,y pair such that the y value is ten times the x value

For example, if x = 2, then

y = 10*x = 10*2 = 20

so that shows how (2,20) is one of the points.

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The domain would be the set of positive whole numbers assuming Tyler can only work a whole number of hours. If partial time values are accepted, then the domain would be the set of positive real numbers. Negative x values are not allowed as Tyler can't work negative 3 hours for instance.

In a similar fashion, the range is the set {0, 10, 20, 30, 40, ...} incrementing by multiples of 10 if x is the set of positive whole numbers. If x is the set of positive real numbers, then y can be 0 or larger which sets up the range of y being the set of positive real numbers as well.