Using a variable, write an inequality to represent the solution shown on the graph below.

Answer:

x = 1 1/2

Step-by-step explanation:

1/3 x + 1/4 = 3/4

Solving for x

Subtract 1/4 from each side

1/3 x + 1/4 -1/4 = 3/4-1/4

1/3 x = 2/4

Simplify

1/3x = 1/2

Multiply each side by 3

1/3 x * 3 = 1/2 * 3

x = 3/2

Changing to a mixed number

x = 1 1/2

Answer:

[tex]\sf \frac{3}{2} = 1 \frac{1}{2} \\ [/tex]

Step-by-step explanation:

[tex] \sf \frac{1x}{3} + \frac{1}{4} = \frac{3}{4} \\ [/tex]

To solve easily, multiply the whole equation by it's LCM ( LCM of 3 & 4 is 12 ).

[tex] \sf12 \times ( \sf \frac{1x}{3} + \frac{1}{4} = \frac{3}{4} ) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ \\ \\ \sf \frac{1x}{3} \times 12 + \frac{1}{4} \times 12= \frac{3}{4} \times 12\\ \\ \sf \sf \frac{12x}{3} + \frac{12}{4} = \frac{36}{4} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf4x + 3 = 9 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

And now solve for x.

First, subtract 3 from both sides.

[tex] \sf4x = 9 - 3 \\ \sf4x = 6[/tex]

Divide both sides by 4.

[tex] \sf \: x = \frac{6}{4} \\ [/tex]

To write the fraction in its simplest form, divide both the numerator and denominator by 2.

[tex] \sf \frac{3}{2} = 1 \frac{1}{2} \\ [/tex]

The unit rate for each size to the nearest hundredth of a dollar is Size A = $0.484, Size B = $0.393, Size C = $0.343 and Size D =$0.359.

What is unit rate?

Unit rate is a rate in which the second term of a ratio is one. Unit rate is a way to compare different quantities in which the second term is a constant of one. Unit rate is determined by dividing one quantity by another, with the second quantity always being one. Unit rate can be used to compare different items, such as prices when shopping, or to measure the speed of an object over a given period of time. Unit rate is often expressed as a whole number or a fraction.

Unit rate for Size A = $0.48, Size B = $0.39, Size C = $0.34 and
Size D =$0.36.
Given:
Size A The 7 1/5 ounce can cost $3.49.
Size B The 16 1/2 ounce can cost $6.49.
Size C The 24 3/4 ounce can cost $8.49.
Size D The 30 2/3 ounce can cost $10.99.
To find the unit rate for each, we take the total price and divide by the total ounce,
Size A = [tex]\frac{3.49}{\frac{36}{5} } =0.484[/tex]
Size B = [tex]\frac{6.49}{\frac{33}{2} } =0.393[/tex]
Size C = [tex]\frac{8.49}{\frac{99}{4} } = 0.343[/tex]
Size D = [tex]\frac{10.99}{\frac{92}{3} } = 0.359[/tex]

Hence, the unit rate for each size to the nearest hundredth of a dollar

is Size A = $0.484, Size B = $0.393, Size C = $0.343 and

Size D =$0.359.

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Option B is correct answer, 79 pounds is equal to 35.866 kilograms.

What is unit conversion?

A unit conversion is used to express the same property in a different unit of measurement. Minutes can be used to measure time instead of hours, and feet, kilometers, or any other measurement can be used to measure distance in place of miles. Measurements are typically provided in one system of measurement, such as feet, but are necessary in a different system, such as chains. A mathematical formula known as a conversion factor enables an equivalent exchange of feet for chains.

As it is given in the question,

1 Pound =  0.454 Kilograms,

So, In order to convert 79 pounds into kilograms we have to multiply 0.454 by 79.

79 pounds = 79(0.454) kilograms

79 pounds = 35.866 kilograms

Therefore, option B is correct answer.

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Answer: 79 pounds = 35.866 kilograms. Option B is correct!

The Expert was correct. Can I get brainliest because it's right?

Answer:

77

Step-by-step explanation:

60+128+95+x=360

283+x=360

x=77

Answer: children = 258, adults = 269

Step-by-step explanation:

let x = number of children

let y = number of adults

x + y = 527

solve for x in terms of y:

x = 527 - y

$1.5x + $2.5y = $1059.50

substitute in x = 527 - y

1.5(527 - y) + 2.5y = 1059.50

Now you can solve for y:

790.50 - 1.5y + 2.5y = 1059.50

y = 1059.50 - 790.5 = 269

Now solve for x:

x + 269 = 527

x = 527 - 269 = 258

A company has a monthly time series that regularly shows sales being higher in the summer months, this is an example of Seasonal Component  

A seasonal variation is a calendar-related and systematic effect. One example is an increase in water consumption during the summer due to warmer weather.

Other seasonal effects include trading day effects (the number of working or trading days in a given month varies from year to year, affecting the level of activity in that month) and moving holiday effects (the timing of holidays such as Easter varies, so the effects of the holiday will be experienced in different periods each year).

In the given question,

A company has a monthly time series that regularly shows sales being higher in the summer months,

This is an example of Seasonal variation in times series

As the Sales increases in every summer seasons

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Cost of one sandwich is $7 and cost of milkshake $5.

What is an equation?

In arithmetic, associate equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.

Main body:

According to question:

let cost of one sandwich be x and cost of milkshake be y .

7x + 5y = $79           -------(1)

2x + 5y = $44          -------(2)

subtracting equation 2 from 1 , we get

5x = 35

x = $7

so cost of one sandwich is $7.

now substituting value of x in equation 1 , we get

7(7) + 5y = 79

49 +5y = 79

5 y = 20

y = 4

so cost of one milkshake is $5.

Hence cost of one sandwich is $7 and cost of milkshake $5.

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The solutions of system of equation are x = 1 and y =-4.

One or many equation having same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given that the system of equation;

-5x-4y = -17 , (equation 1)

-3x-y =  1, (equation 2)

First step is to write both equation in the standard form, both of these above equations are in standard form.

Now we will make the coefficients of variable y opposite, for that we multiply -4 to the equation 2.

12x+4y = -4

Now, in equation 2 coefficients of variable y are opposite.

Next step is combining the both of the equation;

-5x + 12x = -17 -4

7x = -21

x = -3

Substitute the value of x into equation 2,

-3x-y = 1

-3 (-3) -y = 1

-y = 1-9

y = 8

Therefore, the solutions of system of equation, x = -3 and y = 8.

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The probability that Republicans and Democrats come from the same party is 7/15.

For the stated question-

P = P(DD) + P(RR)

There are a total of four ways to choose both from same party:

4C2 + 6C2 = 4 + 15

= 21

There are various methods for selecting a candidate from the entire pool, so

P = 21/ 10C2

P = 21/45

P = 7/15

Thus, the probability that Republicans and Democrats come from the same party is 7/15.

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The complete question is-

Six Republicans and four Democrats have applied for two open positions on a planning committee. Since all the applicants are qualified to serve, the City Council decides to pick the two new members randomly. What is the probability that both come from the same party?

The money in the account at the end of the 4 years is $1034

What is compound interest?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

Now we are given that the initial amount deposited in the account is $1000

This account is giving 0.85% And we have to figure out how much amount will be there

We use compound interest formula to find the amount

[tex]A= P(1+r/n)^{nt}\\\\A= 1000(1+0.0085)^{4}\\A = 1000(1.034)\\A= 1034[/tex]

Hence the amount will be after 4 years is $1034.

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yes yes yes yes yes yes yes yes yes yes yes yes yes yes

Answer:

The answer is 8 because 8x3=24, 8x7=56, and 8x12=96.

Answer: 8

Step-by-step explanation:

Answer:

(3a2 – 5ab + b2) + (–3a2 + 2b2 + 8ab)

Which of the following shows the sum of the polynomials rewritten with like terms grouped together?

[3a2 + (–3a2)] + (–5ab + 8ab) + (b2 + 2b2)

[3a2 + (–3a2)] + (–5ab + 2b2) + (b2 + 8ab)

[3a2 + 3a2] + (5ab + 8ab) + (b2 + 2b2)

[3a2 + 3a2] + (5ab + 2b2) + (b2 + 8ab)

The answer is A.

Step-by-step explanation:

Answer: x=2

Step-by-step explanation:

Area of square = s^2

So we know that (2x+3)^2 = 49

We get rid of the square root first

2x + 3 = 7

2x = 4

x = 2

1. The function [tex]g(x)=x^2+6[/tex] is related to the parent function[tex]f(x) = x^2[/tex]. To write [tex]g[/tex] in terms of [tex]f[/tex], you can simply add 6 to the expression for

[tex]f: g(x) = f(x) + 6\\ = x^2 + 6[/tex]

2. The function [tex]g(x) = x^2 - 3[/tex]  is related to the parent function [tex]f(x) = x^2[/tex]. To write [tex]g[/tex] in terms of [tex]f[/tex], you can simply subtract 3 from the expression for

[tex]f: g(x) = f(x) -3 \\ = x^2 -3[/tex]

3.The function [tex]g(x) = -(x -2)^3[/tex]  is related to the parent function [tex]f(x) = (x - 2)^3[/tex]. To write [tex]g[/tex] in terms of [tex]f[/tex], you can simply negate the expression for f:

[tex]g(x) = -f(x)\\= -(x - 2)^3[/tex]

4. The function  [tex]g(x) = |x -1| + 5[/tex]  is related to the parent function [tex]f(x) = |x - 1|[/tex]. To write [tex]g[/tex] in terms of [tex]f[/tex], you can simply add 5 to the expression for f:

[tex]g(x) = f(x) + 5\\= |x - 1| + 5[/tex]

5. The function [tex]g(x) = 2 \sqrt{x}[/tex]  is related to the parent function [tex]f(x) = \sqrt{x}[/tex]. To write [tex]g[/tex] in terms of [tex]f[/tex], you can simply multiply the expression for f by 2:

[tex]g(x) = 2[/tex] × [tex]f(x)[/tex]

[tex]= 2 \sqrt{x}[/tex]

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Answer:

1/4 or 0.25

Step-by-step explanation:

1/2 - (1/8 + 1/8)

= 1/2 + 2/8

= 4/8 - 2/8 (LCM)

= 2/8

= 1/4

= 0.25

______________

Hope it helps!!

Answer:

Step-by-step explanation:

1/4

Explanation:

First, add the terms within parenthesis:

1

2

−

(

1

8

+

1

8

)

⇒

1

2

−

2

8

Next, reduce the second term:

1

2

−

(

(

2

2

)

⋅

(

1

4

)

)

⇒

1

2

−

(

1

⋅

(

1

4

)

)

⇒

1

2

−

1

4

To get these two terms over a common denominator (in this case

4

) we need to multiple the first term by

(

2

2

)

:

1

2

−

1

4

⇒

(

(

2

2

)

⋅

(

1

2

)

)

−

1

4

=

2

4

−

1

4

Now we can subtract the terms to obtain the final answer:

2

4

−

1

4

⇒

2

−

1

4

⇒

1

4

the explicit rule of the nth term of the arithmetic

sequence is A. aₙ = 6n-8

                    B. aₙ = 6n-26

                     C. aₙ= 6n-26

                     D. aₙ =6n-14

the sequence of numbers having constant differences between two successive numbers.

the explicit formula is used for determining any term of an arithmetic sequences directly in where only the first term and differences between two consecutive terms are needed to know.

Given, -20,-14,-8,-2,...are the terms. an explicit rule for the nth term of the arithmetic sequence is given by the formula, aₙ=a₁+(n-1) d

where, a₁ is the first term, aₙ is the nth term, d is the difference between two terms, n is the number of terms.

as per question a₁= -20, d= 6

now A. aₙ = -20+6(n+2)

           aₙ = 6n-8

B. aₙ= -20+6(n-1)

 aₙ = 6n-26

C. aₙ =-20+6(n-1)

   aₙ = 6n-26

D. aₙ= -20+6(n+1)

  aₙ = 6n-14

the above are the explicit rules for the arithmetic sequence.

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Answer:

B $3.00

Step-by-step explanation:

We need to estimate a little.  We are trying to find the slope.  We need two points.  The one point that is clear is (4,15)  I would estimate the other points to be (0,3)  The slope is the change in y over the change in x

the y values from the two points are 15 and 3.  The x values are 4 and 0

[tex]\frac{15-3}{4-0}[/tex] = [tex]\frac{12}{4}[/tex] = 3

The slope of the equation is m that is derivative of the given function if you take the graph of ln (K) and 1/T. I t makes intercept at ln[A] and the slope is given by m= -Ea/R that means option D is correct.

For many physical and chemical reactions, the relationship between reaction rate and temperature is described by the Arrhenius equation.

Based on hydrolysis S2 peak data measured at multiple heating rates and burial histories occurring over geological time scales, Arrhenius-equation first-order reactions are useful for modelling the timing and temperatures of petroleum generation from organic-rich shakes and oestrogens at laboratory scales.

The slope of the equation is m that is derivative of the given function if you take the graph of ln (K) and 1/T. I t makes intercept at ln[A] and the slope is given by m= -Ea/R that means option D is correct.

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The statements that are always true regarding the diagram of interior and exterior angles of a triangle include the following:

C. m∠5 + m∠6 =180°.

D. m∠2 + m∠3 = m∠6.

E. m∠2 + m∠3 + m∠5 = 180°.

In Geometry, the Linear Pair Postulate states that the measure of two (2) angles would add up to 180° provided that they both form a linear pair. This ultimately implies that, the measure of the sum of two (2) adjacent angles would be equal to 180º when two (2) parallel lines are cut through by a transversal:

m∠5 + m∠6 =180°.

In Mathematics, the exterior angle property can be defined as a theorem which states that the measure of an exterior angle in a triangle is equal in magnitude to the sum of the measures of the two remote or opposite interior angles of that triangle:

m∠2 + m∠3 = m∠6.

Additionally, the sum of all the angles that are formed by a triangle is equal to 180º and this is given by:

m∠2 + m∠3 + m∠5 = 180°,

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Answer:

63 =  EHF

Step-by-step explanation:

We know that EHG is a right angle which is 90 degrees

FHG is 27 degrees

EHG = FHG + EHF

90 = 27+  EHF

90-27 = EHF

63 =  EHF

Answer: No the triangle with sides 8cm 16 cm 18cm can't be a right angle triangle because of the Pythagoras theorem which states   that the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

Step-by-step explanation:

Hope this was helpful

Answer:

no it is not a right angled triangle the Pythagoras theorem

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

Answer:  2.39

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

Given:  [tex]\textsf{185/100 + 50\% + 4\%}[/tex]

Find:  [tex]\textsf{Convert to simplified decimal}[/tex]

Solution: In order combine the numbers together we must first convert all of them to a fraction.  The first number is already in fraction form, but the other ones are in a percent form.  What a percent value means is just a number out of 100 which we can use to change 50% to 50/100 and 4% to 4/100.

Now we have 185/100 + 50/100 + 4/100 which we can combine together to 239/100 to which we can use a calculator and figure out that the answer in decimal form would be 2.39

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{185}{100} + 50\% + 4\%}\\\\\mathsf{= \dfrac{185}{100} + \dfrac{50}{100} + \dfrac{4}{100}}\\\\\mathsf{= \dfrac{185\div 5}{100\div 5} + \dfrac{50\div50}{100\div50} + \dfrac{4\div4}{100\div4}}\\\\\mathsf{= \dfrac{37}{20} + \dfrac{1}{2} + \dfrac{1}{25}}\\\\\mathsf{= 1\dfrac{17}{20} + \dfrac{1}{2} + \dfrac{1}{25}}\\\\\mathsf{= \dfrac{47}{20} + \dfrac{1}{25}}\\\\\mathsf{= 2 \dfrac{7}{20} + \dfrac{1}{25}}\\\\\mathsf{= 2\dfrac{39}{100}}\\\\\mathsf{= \dfrac{239}{100}}\\\\\mathsf{\approx 2.39}[/tex]

[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{\dfrac{239}{100}\ or\ 2.39}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

If Inez has 8/3 cup of raisings and each batch takes 2/3 cup of raisins, she may create 4 batches of raisin granola bars.

In mathematics, a fraction is used to represent a piece or part of a whole. It symbolizes the equal pieces of the whole. A fraction is made up of two parts: the numerator and the denominator. The top number is known as the numerator, while the bottom number is known as the denominator. A common fraction is a numeric representation of a rational integer. The same number can be expressed as a decimal, a percentage, or with a negative exponent. Fractions indicate pieces of a whole or group of items. A fraction is made up of two components. The number at the top of the line is referred to as the numerator. It specifies the number of equal sections of the whole or collection that are taken. The figure below the line is denominator.

Here,

8/3÷2/3=4

2/3 • 4 = 8/3

2/3 + 2/3 + 2/3 + 2/3 = 8/3

2/3 = 0.67

0.67 • 4 = 2.67

8/3 = 2.67

4 batches of raisin granola bars can inez make if she has 8/3 cups of raisings and each batch requires 2/3 cup of raisins.

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A matched-subjects study and an independent-measures study both included 17 participants.

In statistics, the number of degrees of freedom is the number of values in the final computation of a statistic that are free to change. Estimates of statistical parameters might be based upon differing quantities of information or data. Degrees of freedom refer to the maximum number of logically independent values in a data sample, which are values with the freedom to vary. Degrees of freedom is calculated by subtracting one from the number of items within the data sample.

Here,

Sample size=degree of freedom(df)+1

=16+1

=17

17 individuals participated in each study of a matched-subjects study and an independent-measures study both.

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The graph of Stewart's assignment added as an attachment

From the question, we have the following parameters that can be used in our computation:

This means that the equation of the scenario is

Number of assignments remaining = Initial number of assignments - Rate of assignment per day * Number of days

Represent the number of assignments remaining with y and the number of days with x

So, we have the following representation

y = Initial number of assignments - Rate of assignment per day * x

Substitute the known values in the above equation, so, we have the following representation

y = 36 - 4 * x

Evaluate the products

y = 36 - 4x

So, the equation is y = 36 - 4x and the graph is added as an attachment

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Answer:

Step-by-step explanation:

To find the sum of all the digits in the sequence 1, 2, 3, ..., 98, 99, 100, we can use a bit of arithmetic.

First, let's find the sum of the digits in the first 99 numbers of the sequence. Each number in the sequence has two digits, so the sum of the digits in the first 99 numbers is 99 * 18 = 1872.

Next, we need to add in the digits in the number 100. The sum of the digits in 100 is 1 + 0 + 0 = 1.

Therefore, the sum of all the digits in the sequence 1, 2, 3, ..., 98, 99, 100 is 1872 + 1 = 1873.

The percentage decrease from the first number to the second of 150 to 100 is 33.33% and for 300 to 250 is 16.67%.

A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.

Given:

Initial number  = 150

Final number = 100

Calculate the percentage decrease by the formula given below,

[tex]Percentage\ decrease = (Initial \ number -Final\ number )Initial\ number \times 100[/tex]

Percentage decrease = (150 - 100) / 150 × 100

Percentage decrease = 50 / 150 × 100

Percentage decrease = 33.33%

Similarly, for 300 to 250

Percentage decrease = (300 - 250) / 300 × 100

Percentage decrease = 50 / 300 × 100 = 16.67%

Therefore, the percentage decrease from the first number to the second of 150 to 100 is 33.33% and for 300 to 250 is 16.67%.

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For the parabola y = 2x² + 3x + 1,

a. i.  The x-intercepts are x = -1/2 and x = -1

a. ii. The y-intercept is y = 1

b. i. The line of symmetry is at x = -3/4

b. ii. The equation of the line of symmetry is x = -3/4

c.  The vertex is at (-3/4, -1/8)

A parabola is part of a conic section which is a curve.

Given the parabola y = 2x² + 3x + 1, we find the x- intercept when y = 0.

So, y = 2x² + 3x + 1

2x² + 3x + 1 = 0

2x² + 2x + x + 1 = 0

Factorizing, we have

2x(x + 1) + (x + 1) = 0

(2x + 1)(x + 1) = 0

2x + 1 = 0 or x + 1 = 0

2x = -1 or x = -1

x = -1/2 or x = -1

So, the x-intercepts are x = -1/2 and x = -1

Given the parabola y = 2x² + 3x + 1, we find the y- intercept when x = 0.

So, y = 2x² + 3x + 1

So, y = 2(0)² + 3(0) + 1

y = 0 + 0 + 1

y = 1

So, the y-intercept is y = 1

The line of symmetry passes through the vertex of the parabola where dy/dx = 0.

So, y = 2x² + 3x + 1

dy/dx = d(2x² + 3x + 1)/dx

= d(2x²)/dx + d3x/dx + d1/dx

= 4x + 3 + 0

= 4x + 3

So, when dy/dx = 0,we have

4x + 3 = 0

4x = -3

x = -3/4

So, the line of symmetry is at x = -3/4

The equation of the line of symmetry is x = -3/4

Since the vertex of the parabola is a t x = -3/4, substituting this into the equation, we have

y = 2x² + 3x + 1

y = 2(-3/4)² + 3(-3/4) + 1

y = 2(9/16) - 9/4 + 1

y = 9/8 - 9/4 + 1

y = (9 - 18 + 8)/8

y = (17 - 18)/8

y = -1/8

So, the vertex is at (-3/4, -1/8)

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