7 rationals and irrationals prove that the product of a non-zero rational number and an irrational number is irrational.

Expression of the rate per minute at which air freshener dispenses sprays is equal to fraction 4 over 30.

As given,

The graph represents

x-axis: Time in minutes

y-axis: Number of sprays

Ordered pairs ( 30,4) ,(60, 8) ,( 90,12), and ( 120, 16)

Consider any two points ( 90,12) ,(120 , 16)

Expression of the rate per minute=( y₂ -y₁)/(x₂ -x₁)

                                                     =( 16 - 12)/(120 -90)

                                                     = 4/30

Therefore, expression of the rate per minute at which air freshener dispenses sprays is equal to fraction 4 over 30.

The complete question is :

The graph shows the number of sprays an automatic air freshener dispenses, y, in x minutes: A graph is shown. On the x-axis, the values are from 0 till 150 in increments of 30 for each grid line, and on the y-axis, the values are from 0 to 20 in increments of 4 for each grid line. The title of the graph on the x-axis is Time in minutes, and the title on the y-axis is Number of Sprays. A line is shown connecting ordered pairs 30, 4 and 60, 8 and 90, 12 and 120,16. The title for the graph is Dispense Rate. Which expression can be used to calculate the rate per minute at which the air freshener dispenses sprays?

fraction 4 over 30

fraction 30 over 4

fraction 30 over 16

fraction 16 over 30

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Answer:

The answer is C

Step-by-step explanation:

First there are 2x first then there are other x's then two 1 equals 2

The expression contains FOUR terms, each with TWO factors.

Expression information: In algebra, the word term defined the single numbers(10), variables(y), and the product of the two (10y).

There are four terms:

A factor is a component of a product.

Therefore, the expression contains FOUR terms, each with TWO factors.

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The correct question is given below:
Complete the statement to describe the expression ab+cd+ef+ghab+cd+ef+gha, b, plus, c, d, plus, e, f, plus, g, h. The expression consists of ----- terms, and each term contains ----- factors. Please fill in the blanks!

Answer:

8/3 or 2 2/3 gallons

Step-by-step explanation:

1/3 of gallon covers 1/8 of a wall, therefore, the amount of pain is needed to cover the entire wall is 1/3 x 8 = 8/3 or 2 2/3 gallons

The inequality that is equivalent to the given inequality is -10x + 10 < 13  

From the question, we are to determine the inequality that is equivalent to the given inequality

The given inequality is -10(x - 1) < 13

To determine the inequality that is equivalent to this inequality, we will solve the given inequality

Solving the inequality

-10(x - 1) < 13

Apply the distributive property

-10x + 10 < 13

Subtract 10 from both sides of the inequality

-10x + 10 - 10 < 13 - 10

-10x < 3

Divide both sides by -10 and reverse the sign

x > -3/10

From the steps of solving the inequality, the inequality that is equivalent to the given inequality is -10x + 10 < 13  

Hence, the inequality that is equivalent to the given inequality is -10x + 10 < 13  

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Answer:

C. -10x + 10 < 13

Answer:

spam question

Step-by-step explanation:

Answer:

If you have a table of values like those above and you can find the value for f(n) . you go about finding the value of f (n-1)

Step-by-step explanation:

The area of triangle par on the grid is the vertex p is on ordered pair 7 and 6.

Soccer on CBS Sports is various TV programs that have broadcasted soccer matches in the US on CBS, CBS Sports Organization, and Paramount+. These matches are from Global, European, and American contests. Affiliation football, all the more usually known as just football or soccer, is a group activity played between two groups of 11 players who essentially utilize their feet to impel the ball around a rectangular field called a pitch. Soccer, or football as it's known beyond North America, is the most famous game on the planet. Thus, how could it be played, who plays it, and a lot more inquiries are responded to here.

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Answer in decimal form = -0.2

Answer as a fraction = -1/5

=========================================================

Explanation:

The term "rate of change" is the same as "slope" for linear equations.

Use the slope formula to get the steps shown below.

[tex](x_1, y_1) = (-3, 3.6) \text{ and } (x_2, y_2) = (5, 2)\\\\m = \frac{y_2 - y_1}{x_2 - x_1}\\\\m = \frac{2-3.6}{5-(-3)}\\\\m = \frac{2-3.6}{5+3}\\\\m = \frac{-1.6}{8}\\\\m = \frac{-16}{80}\\\\m = -\frac{1}{5}\\\\m = -0.2\\\\[/tex]

The decimal value is exact without any rounding done to it.

A slope of -1/5 means we go down 1 unit and to the right 5 units.

slope = rise/run = -1/5

rise = -1 = go down 1

run = 5 = go to the right 5

Answer: 53/30

Step-by-step explanation:

4/6 + 2/4 + 3/5 =

2/3 + 1/2 + 3/5 =      ==> Simplify Denominators

30/30 * (2/3 + 1/2 + 3/5)=  ==> Have matching denominators by multiplying by the LCM (Least common multiple) of the denominators

(2*30/3 + 1*30/2 + 3*30/5)/30=

(60/3 + 30/2 + 90/5)/30=

(20 + 15 + 18)/30=

(35 + 18)/30=53/30

The expression, evaluated to the simplest form is -4

From the question, we are to simplify the given expression

The given expression is

(9² + 19)/(10² - 5³)

Simplifying the expression

(9² + 19)/(10² - 5³)

9² = 81

10² = 100

5³ = 125

Thus,

The expression becomes

(81 + 19)/(100 - 125)

= 100/-25

= -4

Hence, the expression, evaluated to the simplest form is -4

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The final step to be performed in the mathematical expression, (Σx)2 is square the sum of the scores

Sum of squares is a statistical method for calculating the dispersion of data points in regression analysis. By deviating the least from the data, the sum of squares can be used to identify the function that fits the data the best. The purpose of a regression analysis is to assess how well a data series can be fitted to a function that could provide insight into the process by which the data series was created. In the world of finance, the sum of squares can be used to calculate the variation in asset values.

A statistical measure of departure from the mean is the sum of squares. Variation is another name for it. The squared differences of each data point are added together to calculate it. The sum of squares is calculated by squaring the separation between each data point and the line of best fit, then adding the results. The line of greatest fit will reduce this value to the minimum.

We first find the sum, and then square the sum.

ΣX = 1 + 0 + 2 + 4 = 7

So,  ΣX + 1 = 8

Mean = ( 4+6+14 )/3 = 8

Mean =  ΣX*f /  Σf = (5*2 + 4*1 + 3*3 + 2*2 + 1*2) / (2+1+3+2+2) = 29/10

Subtract 3 points from the score X=3

Changing the lowest score to a lower one will increase the range.

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The final step to be performed in the mathematical expression, (Σx)2 is square the sum of the scores

Sum of squares is a statistical method for calculating the dispersion of data points in regression analysis. By deviating the least from the data, the sum of squares can be used to identify the function that fits the data the best. The purpose of a regression analysis is to assess how well a data series can be fitted to a function that could provide insight into the process by which the data series was created. In the world of finance, the sum of squares can be used to calculate the variation in asset values.

A statistical measure of departure from the mean is the sum of squares. Variation is another name for it. The squared differences of each data point are added together to calculate it. The sum of squares is calculated by squaring the separation between each data point and the line of best fit, then adding the results. The line of greatest fit will reduce this value to the minimum.

We first find the sum, and then square the sum.

ΣX = 1 + 0 + 2 + 4 = 7

So,  ΣX + 1 = 8

Mean = ( 4+6+14 )/3 = 8

Mean =  ΣX*f /  Σf = (5*2 + 4*1 + 3*3 + 2*2 + 1*2) / (2+1+3+2+2) = 29/10

Subtract 3 points from the score X=3

Changing the lowest score to a lower one will increase the range.

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Quadrilateral b, is not a scaled copy of Quadrilateral a.

The side length of Quadrilateral a=2,3,5, and 6.

The side length of Quadrilateral b=4,5,8 and 10

Now comparing the Ratio of the Corresponding Sides of two quadrilaterals a and b

2/4 ≠ 5/8

3/5 ≠  6/10

Since the ratio of corresponding opposite sides is not equal. The two Quadrilateral are Not Similar.

So, We can say that Quadrilateral b, is not a scaled copy of Quadrilateral a.

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If 115.2 million million households have at least one TV and  82% have basic cable TV, then the number of households have basic cable TV is

94464000.

Given,

The total number of household have at least one TV = 115.2 millions

The percentage of household have basic cable TV = 82%

Then, the number of household have basic cable TV

=115200000×[tex]\frac{82}{100}[/tex]

=94464000

Hence, if 115.2 million million households have at least one TV and  82% have basic cable TV, then the number of households have basic cable TV is 94464000.

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The measure of the smaller angle is 23⁰ and the measure of the larger angle is 67⁰.

When the sum of two angles is equal to 90 degrees, they are called complementary angles.

So we can say that two angles are complementary if they sum up to 90 degrees.

From the given statement;

y = 3x - 2  -------(1)

y + x = 90  --------(2) (since they are complementary)

substitute for y in equation (2)

3x - 2 + x = 90

4x = 92

x = 92/4

x = 23 ⁰

y = 3(23) - 2

y = 67⁰

Thus, the measure of the smaller angle is 23⁰ and the measure of the larger angle is 67⁰.

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Answer:

6

Step-by-step explanation:

You count with your fingers. 1,2,3,4,5,6! Congrats you got your answer.

30 is the correct value of the expression in linear equation .

What in mathematics is a linear equation?

The error starts from here- 36-10 + 4

If we are doing addition or subtraction start from left

=36−10+4

=26+4

= 30

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Answer:

(-6 ÷ 5) × (-6 ÷ 8) = 9/10 or 0.9

Step-by-step explanation:

Answer:

324, 900, 9

Step-by-step explanation:

When a shape has its size increased by a scale factor, the size of its lengths are multiplied by this scale factor, yet its area is actually multiplied by the scale factor squared. This is due to two lengths being multiplied to contribute to the area, not just one. If it was a volume, you would multiply by the scale factor cubed!

Onto the answer, just follow the advice above:

36 * 3^2 = 36 * 9 = 324 square inches,

36 * 5^2 = 36 * 25 = 900 square inches,

36 * 0.5^2 = 36 * 0.25 = 9 square inches.

Hope this helps :)

Answer: x=9

Step-by-step explanation:

x+1= 10

x-1+1=10-1

x=10-1

x=9

The next day they will drive for about 5.5 hours

In given question, Vijay's house is 544 miles from the resort.

after 3 hours of driving, they stop and spend the night at a hotel and  then complete the rest of the trip on the second day.

Let in 3 hours of driving, they completed the 'x' miles of distance from their home.

So, they complete the rest of the trip of 544 - x miles on the second day.

Let t be the time in hours they drive on the second day.

Their average speed is 64 miles per hour.

⇒ 64 = [x + (544 - x) ] / [3 + t]

⇒ 64 = 544 / 3 + t

⇒ 64(3 + t) = 544

⇒ 192 + 64t = 544

⇒ 64t = 352

⇒ t = 5.5 hours

Therefore, The next day they will drive for about 5.5 hours

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The fraction of the total pies remained is option (A) 23/20 is the correct answer.

In this question,

A host served two pies, one apple and one cherry.

Dinner guests ate twenty-five percent of the apple pie and sixty percent of the cherry pie.

Apple pie = 25%

∴ Remaining = 100% - 25%

⇒ 75%  

⇒ Fraction of apple pie remained is 3/4

Cherry pie = 60%

∴ Remaining = 100% - 60%

⇒ 40%

⇒ Fraction of cherry pie remained is 2/5

Thus fraction of the total pies remained is

⇒ 3/4 + 2/5

⇒ (15+8) / 20

⇒ 23/20

Hence we can conclude that the fraction of the total pies remained is option (A) 23/20 is the correct answer.

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Answer:

C (8 to the x/3 power)

Answer: 36 years old

Step-by-step explanation:

T=Tanya. M=Marcus

T=M+28

T+6=3(M+6)

T+6-6=3(M+6)-6

T=3(M+6)-6

M+28=3(M+6)-6

M+34=3M+18

34=2M+18

2M=16

M=8

T=M+28

T=8+28

T=36 years old

The current age of Tanya is equivalent to 45 years old.

Given is that Tanya is 28 years older than Marcus. In 6 years, Tanya will be three times as old as Marcus

Assume the initial age of Tanya is {x} years and that of Marcus is {y} years old. So, we can write -

x = y + 28         ....... Eq[1]

x + 6 = 3y         ........ Eq[2]

Using Eq[1] in Eq[2], we get -

y + 28 + 6 = 3y

y + 34 = 3y

2y = 34

y = 17

Than, we can write [x] as -

x = 17 + 28

x = 45

Therefore, the current age of Tanya is equivalent to 45 years old.

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Hi!

Use the Slope Formula:

[tex]\begin{gathered}\\\bullet\implies\boldsymbol{\displaystyle\frac{y_2-y_1}{x_2-x_1}} \\\\\boldsymbol{Setting\:the\:Values}\\\bullet \boldsymbol{y_2=3}\\\bullet\boldsymbol{x_2=8}\\\bullet\boldsymbol{y_1=3}\\\bullet\boldsymbol{x_1=-2}\\\\\boldsymbol{Solving\:for\:the\:slope}\\\boldsymbol{\displaystyle\frac{3-3}{8-(-2)}}\\\boldsymbol{\dfrac{0}{8+2}}\\\boldsymbol{Slope\longrightarrow0}\end{gathered}[/tex]

I hope I helped! ^^

To solve the equation, add 18 to both sides, then divide by 6. The solution is t = 8.

A linear equation is an equation of which the highest degree of its variables is 1.

Steps to solve linear equations:

Recall that if  we subtract or add the same number to both sides of an equation, it does not change the equality.

The given problem:

Solve 6t-18 = 30

The variable is t. Isolate the variable by adding 18 to both sides:

6t -18 +18 = 30 +18

6t = 48

Divide both sides by 6

6t : 6 = 48 : 6

t = 8 (solved)

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Answer:

A) (4,1)

B) (2,-1)

The answer is H, B and C; And Z, K and R

Step-by-step explanation:

H, B and C; And Z, K and R form a straight line

Answer:

10

Step-by-step explanation:

hope it helps

Answer:

10

Step-by-step explanation:

ya its right

Answer: x>10

Step-by-step explanation:

X-5 > 25-20

x-5+5>5+5

x>5+5

x>10