Solve these questions
1) x +2x + x = 68
2) x+y+3y= 45
3) x+y-4z= -32
4) x+y+z= ?
5) -x + 8x= 63
6) 4x+3x-x=42
Same questions as the pic

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The odd numbers do not follow the closure property of addition.

What is a closure property of addition?

The closure property of addition states that when any two numbers from the set of reals are added, the result will always be a real number. For example 2 + 3 = 5

Explanation

When we add any two natural numbers, the result is always a natural number, i.e. 2 + 1 = 3. Thus, it follows the closure property of addition.

When we add any two whole numbers, the result is always a whole number, i.e. 3 + 0 = 3. Thus, it follows the closure property of addition.

When we add any two integers, the result is always an integer, i.e. 2 + (-5) = -3. Thus, it follows the closure property of addition.

When we add any two odd numbers, the result is not an odd number, i.e. 3 + 1 = 4. Thus, it does not follow the closure property of addition.

Hence, the odd numbers do not follow the closure property of addition.

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We need 65 ml of 50% mixture to obtain the desired solution.

Here, we need to make a 25% alcohol solution by mixing some amount of 50% alcohol mixture with 325 mL of a 20% alcohol mixture.

Let the amount of 50% alcohol solution be x

The the quantity of alcohol in 50% alcohol solution = 50% of x

= 0.5x

Similarly the the quantity of alcohol in 20% alcohol solution = 20% of 325

= 65ml

The total quantity of 25% alcohol solution = (325 + x) ml

Thus, the the quantity of alcohol in 25% alcohol solution = 25% of (325 + x)

= 0.25 (325 + x)

= 81.25 + 0.25x

Thus, we can form the following equation-

0.5x + 65 = 81.25 + 0.25x

0.5x - 0.25x = 81.25 - 65

0.25x = 16.25

x = 16.25/ 0.25

x = 65

Thus, we need 65 ml of 50% mixture to obtain the desired solution.

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Answer:

16!

Step-by-step explanation:

The slope of the line passing through the pair of points is

Given points are:

A (7,1) = (x₁ , y₁)

B (2,1) = (x₂ , y₂)

slope of a line is : y₂ ₋ y₁/x₂ ₋ x₁

Slope equals a height change /Change in width. You may also say that a slope is a climb or a run. This formula changes if the graph's horizontal axis is represented by x and the vertical axis by y.

Assume that the line's slope is'm'.

m = y₂ ₋ y₁/x₂ ₋ x₁

m= 1 ₋ 1/2 ₋ 7

m = 0/₋5

m = 0

hence, when the slope is 0 then the line is horizontal .

Therefore, the slope is 0 which indicates that the line is horizontal.

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[16] f(-3) = -5

      #17 is asking us to find what the function equals when x is equal to -3. We will find x = -3 on the graph, then find what y equals.

[17] f(4) = 0

      #17 is quite similar, it is asking us to find what the function equals when x is equal to 4. We will find x = 4 on the graph, then find what y equals.

You asked in the comments for #16 and #17, I hope this helps.

Answer:

55°

Step-by-step explanation:

The angle that is represented with x and the exterior angle with a measure 125° are supplementary angles.

As known the sum of supplementary angles is 180 so the value of x:

180 - 125 = 55 and

x = 55 is the answer to the question.

Answer:

4.) T = M - N

T(-M) = M - N (-M)

(/-1) T - M = -N (/-1)

-T + M = N

6.) Ax + By = C

(-Ax) Ax + By = C (-Ax)

By = C - Ax

By (/B) = (C - Ax)/(B)

y= (C - Ax)/B

8.) C = pi(d)

(/pi) C = d

C/pi = d

From the excerpt that we have here the story element that the Character traits of the Lin family.

This is the term that is used to refer to the words that are used in order to offer the characterization of a person. These are the terms that would help to show the personalities and the qualities that a person has. It tells us who these persons are and the way they would be described if we are to talk about them to other people.

Based on the description that I have given here, the way that we would be able to talk about this family would be that they are known to prepare their food in a different way that the Americans made theirs.

From what they said, they would always have to put their vegetables first in boiling water. This would make it less raw. But from what they were offered in America, they had to eat the vegetables that had been left raw.

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Answer:

x = √14

Step-by-step explanation:

11- x² = -3

x² = 14

x = √14

The final cost of the TV is $1966.9

The given parameters are:

Regular price = $2300

Discount = 21%

Sales tax = 8.25%

The final cost of the TV is calculated as

Final cost = Regular price * (1 - Discount) * (1 + Sales tax)

So, we have:

Final cost = $2300 * (1 - 21%) * (1 + 8.25%)

Evaluate

Final cost = $1966.9

Hence, the final cost of the TV is $1966.9

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Answer:x= −12/15

Step-by-step explanation:

Answer:

f(-4) = 24

Step-by-step explanation:

In order to find f(-4), set the value of x as -4 in the equation.

Given equation:

f(x) = 3(4 - x)

Substitute x = -4:

f(-4) = 3(4 - (-4))

f(-4) = 3(4 + 4)

f(-4) = 3(8)

f(-4) = 24

Answer:

your answer is 55 as shown by above photo ^^

Answer:

55

Step-by-step explanation:

In linear equation 125 degrees is the measure of exterior angle formed on the ground.

What in mathematics is a linear equation?

we know that the sum of all the angles of a triangle is 180

therefore

11x+7x+90=180

18x=90

x=5

exterior angle formed on the ground=180-11x

=180-55

=125

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John rented the limousine for 6 hours.

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Answer: They are the same deal

Step-by-step explanation:

15.4/5.39=3.33333...

23.6/7.08=3.333333...

The number is -6/7 and the equation is x-7*x=x+6.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

Let the number be x.

We have to find the number.

According to given question we have

If the product of a number and -7 is subtracted from the number the result is 6 more than a number

product of a number and -7 =-7*x

subtracted from the number=x-7*x

6 more than a number=x+6

i.e

x-7*x=x+6

compare the like terms we have,

x-7*x=x+6

Subtract x from both sides we get ,

-7x=6

x=-6/7

Therefore, the number is -6/7 and the equation is x-7*x=x+6.

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Answer:

5.3 kilometers

Step-by-step explanation:

12.06 - 6.76 = 5.3

Answer:

okay. We need to find the probability that I've met a person is of age 45 to 64 given that they do not smoke. Okay, well, says we're interested in the second Age Group. Would Look, we need to look at this. The second row here of the table. Okay, Um, now, since they don't so so we can't quite look at just these products directly says we're given that they don't smoke instead of the fact that they do smoke. So instead of looking at instead of just using this product that I've circled in red, I need to I need to take this green circled number and subtracted. So? So when I mean, it's gree this green circle numbers subtracted. Red circle number. Okay. And what would that give us? That's work. That out on the calculator. So points reform minus 0.7 for eight. That's 0.2652 My brave Onda, who, instead of looking at the total of these products, you need to subtract one from it or two. Oh, Uh, 31 Asher B 0.7 se 7969 Okay, so then this Just 0.2652 over it. 0.79 69 Okay, so let's do that. We have. Let's work that out on a calculator. We get around 0.33 three. Thank you for watching.

If a chemical company makes two brands of antifreeze. The first brand is 20% pure antifreeze, and the second brand is 95% pure antifreeze. The number of  gallons each brand of antifreeze must be used is: 56 gallons of 20% antifreeze and 84 gallons of 95% antifreeze.

Let call x = The amount of 20% pure antifreeze needed

Let  140 - x = amount of 95% antifreeze needed

Hence,

x gallons of 20% antifreeze + (140-x) gallons of 95% = 140 gallons of 65%

Thus,

.20x + .95(140-x) = .65(140)

.20x + 133 - .95x = 91

Collect like terms

42= .75x

Divide both side by .75x

x=42/.75

x=56

Hence,

56 gallons of 20% antifreeze

84 gallons of 95% antifreeze

Therefore the number of  gallons each brand of antifreeze must be used is: 56 gallons of 20% antifreeze and 84 gallons of 95% antifreeze.

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Answer:

true..... ............

The dimensions before tripling the radius of the cylinder are:

radius = 2 and height = 7 yd

and surface area = 113.1

The dimensions after tripling the radius of the cylinder are:

radius = 6 and height = 7 yd

surface area = 490.08

Given, we know that the dimensions are:

radius = 2 and height = 7 yd

therefore, surface area = 2πrh + 2πr²

= 2π2×7 + 2π(2)²

= 2×22/7×14 + 2π×4

= 88 + 25.12

= 113.1

After tripling the radius, we get:

radius = 6 and height = 7 yd

therefore, surface area = 2πrh + 2πr²

= 2π6×7 + 2π(6)²

= 2×22/7×42 + 2π×36

= 264 + 226.08

= 490.08

Hence we get the before and after dimensions of the cylinder.

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Assuming supply and demand are linear, the equilibrium price is equal to $252 and the equilibrium quantity is equal to 2,016 items.

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

First of all, we would determine a linear function for both supply and demand by finding the slope using this formula as follows:

[tex]Slope,\;m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope,\;m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

Note: price (p) in dollars would be the output and quantity (q) would be the input.

For supply, the points include the following:

Slope, m = (330 - 180)/(2640 - 1440)

Slope, m = 150/1200

Slope, m = 1/8.

Next, we would find the y-intercept at (1,440, 180):

p = qm + c

180 = 1/8(1440) + c

180 = 180 + c

c = 0.

Therefore, the supply equation is p = q/8.

For demand, the points include the following:

Slope, m = (330 - 180)/(1,470 - 2,520)

Slope, m = 150/-1,050

Slope, m = -1/7.

Next, we would find the y-intercept at (2,520, 180):

p = qm + c

180 = -1/7(2,520) + c

180 = -360 + c

c = 180 + 360.

y-intercept, c = 540.

Therefore, the demand equation is p = -q/7 + 540.

In order to find the equilibrium price and quantity, we would set the supply equal to the demand:

q/8 = -q/7 + 540

Multiplying all through by 56, we have:

7q = -8q + 30,240

15q = 30,240

q = 30,240/15

Equilibrium quantity, q = 2,016 items.

For the equilibrium price, we have:

p = q/8

p = 2,016/8

Equilibrium price, p = $252.

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Answer: Distributive Property

Step-by-step explanation:

This is an example of the distributive property because the 9 is being distributed into each term, yielding the 9x and the 27.

Answer: 4.64+2.92 =  7.55oz

Step-by-step explanation:

Answer: C.) 30

Step-by-step explanation: 40 gallons = 50% full Alice added 10 more gallons to make it 50% full there was already 30 gallons in.

The score of person 2 is 30.

A bar chart is a graph that shows the numerical values of variables represented by the height rectangles of equal width. In a bar graph, the rectangles must be of equal width and the space between each bars must be equal.

Total score of person 6 with the highest score possible : highest score x number of options

5 x 9 = 45

This means that on the bar chart, the value of person 6's rectangle is 45. This means that each the value of the graph increases by 5. This means that each line increases by the value of 5.

Score of person 2 = number of lines to the height of the bar x 5

6 x 5 = 30

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Answer:

Commutative property of multiplication