20 + 4 (3x - 5) + 2x = 28

How can I get the answer and please explain step by step!

Evan made a mistake to add. As the sign of 4 positive and the sign of [tex]2\frac{1}{2}[/tex]. The subtraction operation must be performed for this.

What is a number line?

The horizontal straight lines in mathematics known as number lines are where integers are arranged in equal intervals. A number line can be used to represent every number in a sequence. The endpoints of this line go on forever.

The given expression is

[tex]-2\frac{1}{2}[/tex] +4

It can be written as 4  [tex]-2\frac{1}{2}[/tex] .

Now perform the subtraction operation:

= 4 - 5/2

= (8-5)/2

=3/2

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

The number line that represents the given operation is attached below.

Evan added 4 and  [tex]2\frac{1}{2}[/tex] which is incorrect way.

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Answer:

3 3/4 cups of sugar per cup of salt

Step-by-step explanation:

To find the unit rate of salt to sugar in the recipe, we need to divide the number of cups of sugar by the number of cups of salt. In this case, the unit rate of salt to sugar is 1 1/4 cups of sugar divided by 1/3 of a cup of salt, which can be simplified to 3 3/4 cups of sugar per cup of salt.

Answer:

The unit rate of cups per teaspoon is 1 1/3

Step-by-step explanation:

-A recipe calls for 2 by 3 cup of sugar for every 1 by 2 teaspoon of vanilla.

Based on the above information, the calculation is as follows:

=(2/3)/(1/2)

=(2/3)/(1/2)

=(2/3)x(2/1)

=(2x2)/(3x1)

=(4/3)

= 1 1/3

No matter how they are expressed, fractions, decimals, and percentages can all have the same value.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English. In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.

Here,

It is possible to have fractions, decimals, and percentages that have the same value regardless of how they are expressed.

These fractions, decimals, and percentages are said to be equivalent.

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Answer:

-9

Step-by-step explanation:

(y2-y1)/(x2-x1)

[tex]\frac{(-1--10)}{(-6--5)}[/tex]=-9

Answer:

D

Step-by-step explanation:

5*1 = 5

5*2 = 10

5*3 = 15

5*4 = 20

5*5 = 25

Answer:

ong

Step-by-step explanation:

Answer:

Answer:

Step-by-step explanation:

[tex]0.4, 40.5, \frac{11}{25}, \frac{4}{9}[/tex]

Given numbers :

[tex]0.4, 40.5, \frac{11}{25}, \frac{4}{9}[/tex]

Let's convert percent and fraction into like decimals.

[tex]\frac{4}{9}\ = 0.444[/tex]

We know that to convert percentage into decimals, we need to divide it by 100, we get

[tex]40.5 = \frac{40.5}{100} = 0.405[/tex]

[tex]\frac{11}{25} = 0.400[/tex]

Now , placing the above decimal numbers in order  from least to greatest

[tex]0.400, 0.405, 0.440, 0.444[/tex]

[tex]=0.4, 40.5, \frac{11}{25}, \frac{4}{9}[/tex]

The inequality which represents the range of temperature at which water boils is 100 ≤ b thus, option (C) is correct.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given,

Water boils at a minimum temperature of 100 degrees Celsius.

Suppose b is the temperature at which water boils.

100 ≤ b

Hence "The inequality which represents the range of temperature at which water boils is 100 ≤ b".

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Step-by-step explanation:

in a fraction as exponent the numerator defines the pure exponent of the base, and the denominator gives the degree of root of the base.

so, this is

[tex] \sqrt[5]{y^{3} } [/tex]

Answer:

[tex] \sqrt[5]{ {y}^{3} } [/tex]

Step-by-step explanation:

When converting an expression with a fractional exponent to its radical form, the base number goes inside the radical(which means it becomes the radicand) along with the numerator(which remains an exponent). Whereas the denominator of the exponent becomes the index, or what dictates whether the radical is a square root, cube root, etc.

EX:

[tex] {y}^{ \frac{a}{m} } = \sqrt[m]{ {y}^{a} } [/tex]

Answer:

29 hrs

Step-by-step explanation:

439 = 14t + 29

439-29 = 14t

410 = 14t

t = 410/14

t= 29.28

t = 29

The number of hours Aisha worked babysitting and landscaping last week is 7.9 hours and 9.9 hours respectively

Step-by-step explanation:

The percentage equation states that the part equals the percent multiplied by the whole.

What is percent?

A percentage is a number that indicates how much is 100 and can also be expressed as a decimal or fraction.

What is Percentage Equation?

Percentage equations allow you to find parts or ratios of amounts (or wholes). Percentages are specified with a % sign after the number of hundredths.

The formula for percentage equation is given below

Percent=(Part/Whole)x100

Example: 45 is 60% of what number?

Modifying the above percentage equation, we get

Whole= (Part/Percent) x 100

⇒Whole= (45/60) x 100

⇒Whole= (3/4) x 100

⇒Whole= 3 x 25

⇒Whole= 75

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The length of the segment AE on the triangle is 45/7

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

DE parallel to BC,

Also, we have

AD/DB=3/4

The above parameters mean that

AD/AB = AE/AC

Also, we know that

AB = AD + DB

From the ratio values, we have

AB = 3 + 4

Evaluate the sum

AB = 7

Updating the initial ratio, we have

AE/15 = 3/7

Multiply both sides by 15

So, we have the following representation

AE = 15 * 3/7

Evaluate the products

AE = 45/7

Hence, the length of AE is 45/7

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The true statements that satisfy ΔPQR ≅ ΔSTU are PQ = ST, m∠R = m∠U, and m∠Q = m∠T.

What is congruence?

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

Here, we have

Given

ΔPQR is congruent to ΔSTU

We have to find a true statement that satisfies the given condition.

We concluded that PQ = ST, m∠R = m∠U, and m∠Q = m∠T.

Hence, the true statements that satisfy ΔPQR ≅ ΔSTU are PQ = ST, m∠R = m∠U, and m∠Q = m∠T.

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Answer:

Step-by-step explanation:

-1<x<0

x<0

so x is negative.

Hence -x is positive.

and -1<x

or

x>-1

or

x+1>0

x+5=x+1+4>0+4

hence x+5 is positive.

x is negative .

∴x-2 is negative.

f(x)=(+)×(+)×(+)×(-)=-

B

a) Figure                 1             2            3  

Number of tiles      8            12          16

b) The number of tiles is 8 more than 4 times of 1 less than the number of figure.

c) The equation of model the number of yellow tiles is y = 4x + 4.

d) The number of tiles in figure 24 is 100.

e) Figure 43 has 176 yellow tiles.

f) No.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

Given that

the number of yellow tile in figure 1 is 8.

The number of yellow tile in figure 2 is 12.

The number of yellow tile in figure 3 is 16.

(a) The table is

Figure                     1             2            3  

Number of tiles      8            12          16

(b)

The number of tiles increase at a constant rate.

The rate is (12 - 8) = (16 - 12) = 4

The relation with the figure and number of tiles is

The number of tiles is = 4 + (the number of figure - 1)4

C)

Assume that y represents total number of tiles.

x = Number of figure

Rewrite "The number of tiles is = 4 + (the number of figure - 1)4" in term of x and y:

y = 8 +(x - 1)4

y = 8 + 4x -4

y = 4x + 4

d) Putting x = 24 in y = 4x + 4

y = 4×24 + 4

y = 96 + 4

y = 100

e)

Putting y = 176 in y = 4x + 4

176 = 4x + 4

Subtract 4 from both sides:

172 = 4x

Divide both sides by 4

x = 43

f)

Putting y = 54 in y = 4x + 4

54 = 4x + 4

Subtract 4 from both sides:

50 = 4x

Divide both sides by 4

x = 50/4

The value of x is not a whole number. Thus it is not possible that a figure has with 54 yellow tiles.

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The required polynomial is x⁵ - 2x⁴ - 35x³ + 36x² + 180x.

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

Given, We have to construct a polynomial of degree 5, a positive lead

co-efficient and zeros or roots are -5, -2, 0, 3, 6.

If roots are -5, -2, 0, 3, 6 factors are (x + 5), (x + 2), (x + 0), (x - 3), (x - 6).

∴The required polynomial is  (x + 5)(x + 2)(x + 0)(x - 3)(x - 6).

= x(x + 5)(x + 2)(x - 3)(x - 6).

= (x² + 5x)(x² - 3x + 2x - 6)(x - 6).

=  (x² + 5x)(x² - x - 6)(x - 6).

=  (x² + 5x)(x³ - 6x² - x² + 6x -6x + 36).

=  (x² + 5x)(x³ - 7x²+ 36).

= x⁵ - 7x⁴ + 36x² + 5x⁴ - 35x³ + 180x.

= x⁵ - 2x⁴ - 35x³ + 36x² + 180x.

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Using the exponent's rule we know that x = 5.

Exponentiation is a mathematical process that involves the base b and the exponent or power n.

It is represented as bn and is pronounced as "b to the n."

A number's exponent indicates how many times to multiply that particular number.

It appears as a little number above and to the right of the basic number.

For instance, 82 = 8 x 8 = 64.

(The exponent "2" instructs us to multiply by two and use the number eight.)

Another illustration is 53 = 5 * 5 * 5 = 125.

So, we have: 2ˣ = 32

We know that:

2 * 2 * 2 * 2 * 2 = 32

2 is multiplied 5 times which means:

2⁵ = 32

Hence, x = 5.

Therefore, using exponents we know that x = 5.

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Two possible numbers are 6 and 12.

6 would mean she bought one box, and 12 would mean she bought 2 boxes.

If her monthly payment is $1,350. She pays $186,175 in interest over those 30 years. The total amount she will pay for the house will be $ 672175.

The full name of APR is the annual percentage rate. It is defined as the percentage rate applied on borrowing money in the form of interest but APR is applied annually.

It is given that, Jody takes out a 30-year mortgage for $300,000 at 3.524% APR. Her monthly payment is $1,350. She pays $186,175 in interest over those 30 years.

1 year = 12 month

30 year = 360 month

We have to find the total amount she will pay for the house,

Total amount = Monthly payment × 360 + intreast over 30 years

Total amount =1,350 × 360 + 186,175

Total amount =$ 672175

Thus, if her monthly payment is $1,350. She pays $186,175 in interest over those 30 years. The total amount she will pay for the house will be $ 672175.

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Answer:

Step-by-step explanation: To find the x let y=0

We substitute into the equation 3x+2y=15

3x+2 *0=15

3x=15

x=15/3=5

To find the y let x=0

we substitute into the equation x =0

3*0+2y=15

2y=15

y=15/2

Twenty-five people in a survey were asked to give their current checking account balances and the frequency = 4.

What is frequency and example?

Given that;

Class intervals              Class frequency

(Account Balance)          (No of people)

 $0 - $99                                ?

Entries in this ($0 - $99) range are $29 , $60 , $28 , $83 = 4

Therefore, class frequency (no of people) = 4

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Answer: 132 degrees

Step-by-step explanation:

Because the lines are parallel, and the line intersecting them is straight, the angle on top should be the same as the angle on the bottom.

So that makes x=132

Answer:

x = 2 or –6

Step-by-step explanation:

x² + 4x –12 = 0

x² +6x –2x –12 = 0

x(x + 6) –2( x + 6) = 0

(x–2)(x+6)= 0

x–2= 0

x= 2.

x+6= 0

x= –6

x = 2 or –6

The linear model would be a better model for the given function.

What are linear models?

A response variable can be described in terms of a linear combination of predictor variables using linear models. The response ought to be continuous and at least roughly regularly distributed. Although these models are widely used, they are unable to handle clearly discrete or skewed continuous data.

In the table, we see that as x increases, y values change in a steady manner. The slope of this function is approximately 1860.

We use straight lines to visually illustrate linear relationships. Typically, a linear model has two parameters: the slope, also known as the growth factor or rate of change, and the y-intercept, often known as the beginning value. The linear model can be expressed as a linear function, y = mx + b or y=mx+b, where m is the slope and b is the y-intercept.

So, we get the slope as 1860.

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The equation by using x represent the number of years and y represent the number of fish is y=900×(2)ˣ.

Given that,

James is keeping an eye on the fish population in the pond he created. He constructed a pond and added 900 fish to it. Every year, the fish population doubles.

We have to find the equation by using x represent the number of years and y represent the number of fish.

We know that,

We get

Number of fish at starting =900

Number of fish after 1 year =900×2=1800

Number of fish after 2 year =1800×2=3600=900×(2)²

Number of fish after 3 year =3600×2=7200=900×(2)³

So,

Here we can see that the number of fish are in Geometric progression (G.P) with a=900 and r=2

So,

Tₙ=arⁿ⁻¹

We get

y=900×(2)ˣ

Therefore, The equation by using x represent the number of years and y represent the number of fish is y=900×(2)ˣ.

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Answer

2617.

Step-by-step explanation

To estimate the number of people that can fit into a circular arena with a diameter of 100 yards, we first need to find the area of the arena. To do this, we can use the formula for the area of a circle, which is equal to pi times the radius squared. Since the diameter of the arena is 100 yards, the radius would be half of that, or 50 yards. Plugging this value into the formula for the area of a circle, we get:

Area = pi * 50^2

Since pi is approximately equal to 3.14, we can plug this value into the equation to get:

Area = 3.14 * 50^2

This simplifies to:

Area = 3.14 * 2500

Which gives us an area of approximately 7850 square yards.

Since one person requires a personal space of 3 square feet, we can divide the total area of the arena by 3 to find the number of people that can fit in the arena. This gives us:

7850 square yards / 3 square feet/person = 2616.666... people

Rounded to the nearest whole number, this means that approximately 2617 people could fit in the circular arena with a diameter of 100 yards.

The computation of the depreciation expense using the following methods are as follows:

                                                      2022          2023

A) Straight-line Method              $2,472        $2,472

B) Units Of Activity Method       $3,048        $2,448

C) Declining Balance method   $5,200        $4,160

The depreciation expense is the periodic recognition of the cost for a long-term asset over its useful life.

The costs of long-term assets are spread over their estimated life through depreciation, depletion, or amortization.

The various depreciation methods include:

The cost of the delivery truck on January 1, 2022 = $26,000

Expected salvage value = $1,280

Depreciable amount = $24,720

Estimated useful life = 103,000 miles or 10 years

Depreciation Expenses:

Straight-line method = $2,472 annually ($24,720/10)

Units of activity method per mile = $0.24 ($24,720/103,000)

2022 = $3,048 (12,700 x $0.24)

2023 = $2,448 (10,200 x $0.24)

Declining-balance method rate = 20% (100/10 x 2)

2022 = $5,200 ($26,000 x 20%)

2-23 = $4,160 ($20,800 x 20%)

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The option that best describes the data is B; The data is univariate and numerical.

This kind of data just has one variable. Since there is only one variable that varies, univariate data analysis is the most straightforward type of analysis.

In this case, the one variable is World History scores exam

Since we are given vertical box plot is titled world history exams, with a minimum of 54, a maximum of 94, a lower quartile of 70, a median of 83, and an upper quartile of 88.

A numerical data is expressed as numbers rather than in any linguistic or descriptive form is referred to as numerical data.

Numerical data, also known as quantitative data, that is gathered in number form and differs from all other sorts of number data because it can be calculated mathematically and statistically.

Hence, the correct one is B; The data is univariate and numerical.

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Answer:

it is univariate and numerical

Step-by-step explanation:

univariate vs bivariate thsi is univariate because it only deals with one varialbe and its numberical because it is numbers ( that parts a litle clear)

hope i helped a litle i tried to explain it bc i know how tought this class can be (this is flvs from 4.09 from lesson4.05  incase that helps)

The equation in slope-intercept form of the line that passes through the point (3,4) and is parallel to the line represented by y=3x−2 is  y = 3x - 5.

The equation of a line can be represented in slope intercept form, point slope form, standard form and general form.

Linear equation in slope intercept form is as follows:

y = mx + b

where

Therefore, the line that passes through the point (3,4) and is parallel to the line represented by y = 3x −2.

parallel lines have the same slope.

Therefore, the slope of the line is 3.

The y-intercept can be found as follows:

using (3, 4)

y = 3x + b

4 = 3(3) + b

b = 4 - 9

b = -5

Therefore, the equation in slope intercept form is y = 3x - 5.

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