oblem Solving Solve each problem below.
- Reasoning Luz has juice boxes at her
party. There are 3 packages of 10 and
7 extra juice boxes.
How many juice boxes are there in all?
Write the number of tens and ones. Then
write the total number of juice boxes.
Tens
One

Answer:

3x+12/5

Step-by-step explanation:

Answer:

x=90°

Step-by-step explanation:

The total cost of the computer is 719.95 if Originally the price is 849 the store offers a 20% discount and a 6% sales tax

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To find the purchase total, multiply the price by the percent paid and add the percent of tax.

The store offers a 20% discount

This means you pay 80% of the price. So the discounted price is 0.80(849) = 679.2.

Find the tax to be paid by multiplying 0.06(679.2) = 40.752.

Add the tax for the final total.

679.2 + 40.752 = 719.95

Hence, The total cost of the computer is 719.95 if Originally the price is 849 the store offers a 20% discount and a 6% sales tax

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Therefore , the solution of the given problem of Inline view comes out to be this query is present in the FROM clause of other SELECT statement.

Inline view:-It is not a real view instead it is a sub-query or a SELECT statement in the FROM clause of the of another select statement. In the query provided we have a sub - query which is displaying category and Average of retail from the books table and this query is present in the FROM clause of other SELECT statement.

Here.

Given :

You can experiment with different ways of arranging these categories. Then, count the items in each category, and

record the information in the table

Thus , the solution of the given problem of Inline view comes out to be

this query is present in the FROM clause of other SELECT statement.

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By assuming that the taxpayer has $100,000 as income on the completed Form 1040, the total tax that the employee is responsible for paying will be: $17,836.

A tax bracket is a range of incomes that are subject to a specific income tax rate. Tax brackets are part of a progressive tax system, which means that the level of tax rates rises progressively as an individual's income rises. Low-income taxpayers are taxed at relatively low rates, while higher-income taxpayers are taxed at higher rates.

For example, in 2022, a single filer with taxable income of $100,000 will pay $17,836 in tax, or an average tax rate of 18%. But your marginal tax rate or tax bracket is actually 24%. Therefore, the total tax that the employee is responsible for paying equals to $17,836.

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The numbers that are missing to complete the number lines are -18,-6,0,12,18 (a), -36,-18,-9, 9, 18, 27, 36(b),-700,-350,350,1050,1400,1750 (c).

In maths and related areas, number lines can be defined as horizontal lines that have numbers placed on them. Moreover, the numbers are placed at equal distances and follow a pattern; for example, 1,2,3,4, etc. or 5,10,15, etc.

Understand the sequence and complete them:

A. The numbers have an interval of 6. Then -18,-12,-6,0,6,18

B. The numbers have an interval of 9. Then: -36,-27,-18,-9,0,8,18,27,36

C. The numbers have an interval of 350. Then: -700, - 350, 0, 350, 700, 1050, 1400, 1750.

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Answer:

Step-by-step explanation:           D.IS CORRECT

The inequality equation is x < 3.1 and the number of biking outfits is 3

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Let the total amount with Evan be = $ 580

The cost of bicycle = $ 396.95

The cost of each reflectors = $ 7.40

The cost of 4 reflectors = 4 x 7.40 = $ 29.60

The cost of pair of bike gloves = $ 22.94

So , the total cost = $ 396.95 + $ 29.60 + $ 22.94

On simplifying the equation , we get

The total cost = $ 449.49

So , the remaining amount with Evan = total amount with Evan - total cost

The remaining amount with Evan = $ 580 - $ 449.49

The remaining amount with Evan = $ 130.51

Now , the cost of biking outfits = $ 42.10

The cost of x biking outfits = 42.10x

So , the number of outfits Evan can purchase while staying within his budget is given by

42.10x < 130.51

Divide by 42.10 on both sides of the equation , we get

x < 3.1

Therefore , the number of biking outfits is 3

Hence , the inequality equation is 42.10x < 130.51

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Answer: this is the true answer

Step-by-step explanation:

inequality is 42.1x+44.49≤580

answer x ≤ 3.1

The algebraic expression can be written as follows:

9 + x/2

We will use x as our unknown value (or also called the variable).

The expression that we want to write is:

"nine add to half of a number"

So we need to write the sum between 9 and half of our variable, this can be written as:

9 + x/2

That is the expression that represents the mathematical statement above.

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The graph known as the "production possibilities curve" (PPC) depicts all the possible permutations of output that can be created with the available resources and technology.

The maximum output for two items under resource constraints is shown by the production possibilities curve.

The graph known as the Production Possibilities Frontier (PPF) illustrates all the possible output combinations of two items that can be created with the resources and technologies currently in use. The PPF effectively expresses the ideas of choice, tradeoffs, and scarcity.

A production possibilities curve (PPC) depicts the greatest quantity of one commodity that can be produced given the degree of production of another good, the total quantity of inputs available to manufacture both commodities, and the production technique.

Therefore, if the production of the commodities declines, the production possibility curve shifts inward.

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Step-by-step explanation:

the area of a triangle is

baseline × height / 2

so, we only have to sum all 6 triangles and the base area :

6 × 6×8/2 + 93.5 = 36×4 + 93.5 = 144 + 93.5 =

= 237.5 in²

There 2 terms in the algebraic expression x + 8 + 3x.

An expression that contains variables, constants, and algebraic operations is defined as just an algebraic expression in mathematics (addition, subtraction, etc.). Terms comprise expressions. A mathematical statement with variables, constants, coefficients, and algebraic operations is known as an algebraic expression.  

Terms comprise expressions, Algebraic equations are declarations of the equality of two expressions created by performing the algebraic operations of adding, subtracting, multiplying, dividing, raising to a power, and root extraction to a collection of variables.

There 2 algebraic expression in x + 8 + 3x, as x + 3x = 4x, these are: 8 and 3x.

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The the length of each side of the triangle are: 5 units, 8.7 units and 10 units respective

A triangle is a polygon with three sides, three angles, three vertices and sum of angles equal to 180 degrees

From the triangle, Using the trigonometric ratio of sine

Sin C = opposite/Hypothenuse

Sin30 = 5/H

Making h the subject of the relation we have

h= 5/sin30

h=5/0.5

Therefore the value of h=10 units

To find the third side use Pythagoras theorem

10² = 5²+p²

100-25 = p²

75 = p²

Taking the square of both sides

p=√75

p=8.7 units

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Rate of consumption refers to the rate at which a particular resource or material is being used up. It is usually expressed as the amount consumed per unit of time, such as kilograms per hour, gallons per day, etc. The rate of consumption can be used to measure the efficiency of a process, as well as to predict future needs for the resource or material. It is also important to consider the environmental impacts of consumption, as the rate of consumption can have a significant effect on the environment if it is too high.

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The probability that a rivet is defective is 0.0247, and in ensuring that only 5% of all seams need reworking then the probability of a defective rivet is 0.0059.

Let p be the probability of a rivet being defective. The probability of a seam being defective is given by the binomial distribution:

P(defective) = 29Cx × p^x × (1-p)^(29-x)

where x is the number of defective rivets.

We know that 17% of seams are defective, so:

0.17 = ∑_{x=1}^{29} 29Cx × p^x × (1-p)^(29-x)

Solving for p, we have:

p = 0.0247

If only 5% of all seams need reworking, then:

0.05 = ∑_{x=1}^{29} 29Cx × p^x × (1-p)^(29-x)

Solving for p, we have:

p = 0.0059

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Bad debts recovered refers to an amount that was previously recorded as bad debts and has now been recovered.

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Answer:

C

Step-by-step explanation:

A proportion is a statement that compares two or more quantities and shows their relationship.

The following options represent a proportion:

a) 37=25 3 7 = 2 5

b) 32=96 3 2 = 9 6

c) 2.515=212 This is not a proportion because it doesn't show the relationship between two or more quantities.

The work done is W = mgh = (15 lb)(32.2 ft/[tex]s^{2}[/tex])(10 ft) = 4830 ft-lb

This question uses the work-energy theorem, which states that the work done on an object equals its change in kinetic energy.

The kinetic energy of the chain is zero before it is lifted, and its kinetic energy is equal to its potential energy (mgh) after it is lifted, so the work done in lifting the chain is equal to mgh.

Step 1: Determine the mass of the chain. In this case, the mass of the chain is 15 lb.

Step 2: Determine the acceleration due to gravity.

The acceleration due to gravity is 32.2 ft/[tex]s^{2}[/tex].

Step 3: Calculate the height of the chain.

In this case, the height of the chain is 10 ft.

Step 4: Calculate the work done.

The work done in lifting the lower end of the chain to the ceiling is W = mgh = (15 lb)(32.2 ft/[tex]s^{2}[/tex])(10 ft) = 4830 ft-lb.

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(a) Parameter, (b) Statistic, (c) Statistic, (d) Parameter, (e) Statistic, (f) Statistic, and (g) Statistic.

A parameter is a fixed value that describes a population, while a statistic is a value computed from a sample of data.

In (a), the value of 18% is a fixed value describing the population of governors in the United States after the 2014 national midterm election, so it is a parameter.

In (b), the average score for a class of 28 students is a value computed from a sample, so it is a statistic. The same is true for (c), (e), (f), and (g), where the values are computed from surveys or studies.

In (d), Ty Cobb's career batting average is a fixed value that describes his performance, so it is a parameter. And in (e), the average time spent on the moon is a statistic computed from the data for the 12 men who have walked on the moon.

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The interval on which the function f(x) is both increasing and concave up is given as follows:

x > 26.923.

The function is increasing and concave up as follows:

The function for this problem is given as follows:

f(x) = x³ - 42x² - 87x.

The first derivative is given as follows:

f'(x) = 3x² - 84x - 87.

Hence the positive intervals are:

x < 1.077 or x > 26.923.

The second derivative is given as follows:

f''(x) = 6x - 84.

Hence it is positive when:

6x - 84 > 0.

6x > 84

x > 84/6

x > 14.

Hence the interval for which the function is both increasing and concave up is given as follows:

x > 26.923.

(intersection of x < 1.077 or x > 26.923 and x > 14).

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The constant terms of f(x) and h(x), it can be determined that 9(0) = 7.

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Note that where in the picture above PA = PD and AB = CD.

Since AB = CD

∠APB = ∠CPD  - open mouth theorem

Based on the above,

∠BPC = ∠APD - (∠APB +∠CPD)

Since points A, B, C and D are all on a straight line, thus, it is proven that

PB = PC - open mouth theorem.

The Hi. nge theorem (also known as the open mouth theorem) states in geometry that if two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is greater than the included angle of the second, the third side of the first triangle is longer than the third side of the second triangle.

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The statement "Participation in the FDIC is mandatory and required for all U.S. Banks" is false.

The Federal Deposit Insurance Corporation is one of two agencies that supply deposit insurance to depositors in American depository institutions, the other being the National Credit Union Administration, which regulates and insures credit unions.

Given is the statement as -

"Participation in the FDIC is mandatory and required for all U.S. Banks."

The given statement is false. It is not mandatory for all U.S. Banks to participate in FDIC

Therefore, the statement "Participation in the FDIC is mandatory and required for all U.S. Banks" is false.

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The triangles' corresponding angles are identical.The pre-image was reduced to create the picture.The triangle's form is unaffected by either dilation or rotation.

Reason: For forms to resemble one another:

1. The sides should be proportionate to one another.

Angles in the first and second shapes should be same.

With a scale factor of 0.2, the sides of the picture are now 0.2 of the original shape's length. Angles, however, are not modifications.

Let's examine the options:

1. The triangles' corresponding sides are congruent:

Due to the fact that dilation alters the side lengths, this choice is wrong.

2- The triangles' corresponding angles are identical:

This is the best choice because neither rotation nor dilation change the angles' measurements.

3. The image's matching sides are five times longer than the pre- image's:

The sides of the picture are only 0.2 times as long as those of the pre-image, therefore this choice is erroneous.

4. The picture is a condensed version of the original:

This choice is appropriate since the sides of the picture are 0.2 times those of the pre-image, reducing the form.

5- The triangle's shape is unaffected by either dilation or rotation: This choice is valid because dilation and rotation are rigid transformations that do not modify the triangle's shape (a triangle stays a triangle).

The complete question is

A triangle is dilated by a scale factor of 1/5 and then rotated 90 degree clockwise about the origin. Why is the image similar to the pre-image? Check all that apply.

A) The corresponding sides of the triangles are congruent.

B) The corresponding angles of the triangles are congruent.

C) The corresponding sides of the image are 5 times as long as those of the pre-image.

D) The image is a reduction of the pre-image.

E) Neither the dilation nor the rotation change the shape of the triangle.

F) The rotation reduces the size of the triangle.

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Answer and Step-by-step explanation:

To solve this equation, we will assume the given that is x will be assumed equal to twelve.

We will replace the place value of x with 12 everywhere in the given equation.

3(x - 2) =30+x-2-x+2

3 (12 - 2) = 30 + 12 - 2 - 12 + 2

3 (10) = 44 - 14

30 = 30

We can see that the left-hand side is the same as the right-hand side i.e. LHS = RHS.

This means that the value of the equation is stable after we put (x=12) in the above-given equation.

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Graphing the equations x - y = 4 and -2x + 2y = -8, we get two lines that are parallel and do not intersect, which confirms that the system does not have a unique solution.

To solve the system of equations by substitution, we can use one of the equations to solve for one variable in terms of the other, and then substitute that expression into the other equation to get an equation with only one variable. We can then solve for that variable, and use the solution to find the value of the other variable.

Let's use the first equation, x - y = 4, to solve for x in terms of y:

x - y = 4

x = y + 4

Now we can substitute this expression for x into the second equation:

-8 = -2x + 2y

-8 = -2(y + 4) + 2y

Simplifying and solving for y:

-8 = -2y - 8 + 2y

-8 = 0y - 8

0 = 0

We end up with 0 = 0, which means that the second equation is an identity and does not provide any useful information about the values of x and y. This suggests that the system of equations does not have a unique solution and may have an infinite number of solutions, or no solutions at all.

To confirm this, we can graph the two equations and see if they intersect at a single point (indicating a unique solution), multiple points (indicating an infinite number of solutions), or no points (indicating no solutions).

Graphing the equations x - y = 4 and -2x + 2y = -8, we get two lines that are parallel and do not intersect, which confirms that the system does not have a unique solution.

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Answer(s):

[tex]\displaystyle y = 3cos\:(\frac{1}{4}x - \frac{\pi}{2}) - 1 \\ y = -3sin\:(\frac{1}{4}x \pm \pi) - 1 \\ y = 3sin\:\frac{1}{4}x - 1[/tex]

Step-by-step explanation:

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{\frac{\pi}{2}}{\frac{1}{4}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{8\pi} \hookrightarrow \frac{2}{\frac{1}{4}}\pi \\ Amplitude \hookrightarrow 3[/tex]

OR

[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{8\pi} \hookrightarrow \frac{2}{\frac{1}{4}}\pi \\ Amplitude \hookrightarrow 3[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the sine graph, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 3cos\:\frac{1}{4}x - 1,[/tex] in which you need to replase “sine” with “cosine”, then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle 2\pi\:units[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle 2\pi\:units,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{2\pi} = \frac{\frac{\pi}{2}}{\frac{1}{4}}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 3cos\:(\frac{1}{4}x - \frac{\pi}{2}) - 1.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit [tex]\displaystyle [-10\pi, -4],[/tex]from there to [tex]\displaystyle [-2\pi, -4],[/tex]they are obviously [tex]\displaystyle 8\pi\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 8\pi.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = -1,[/tex]in which each crest is extended three units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Answer:

0.0346

Step-by-step explanation:

[tex]\sf 10^{-3} = \dfrac{1}{10^3}= \dfrac{1}{1000}\\\\\\1.6*10^{-3}=\dfrac{1.6}{1000}\\[/tex]

               = 0.0016

0.033 + 0.0016 = 0.0346

                         [tex]= 3.46 * 10^{-2}[/tex]

[tex]0.033 + (1.6*10-3)=13.033.\\ \\0.033 + (1.6*10^{-3} )=0.0346.[/tex]

[tex]0.033 + (1.6*10-3)[/tex]

Check the attached image.

This is an useful tool to know that operation to solve first.

Since the parenthesis is the priority according to PEMDAS, let's start by solving what's inside of the parenthesis.

So, now that we are looking inside the parenthesis, the operation that goes first, according to PEMDAS, should be multiplication. So let's multiply!

Is this case we need to multiply 1.6 x 10. Result is the following:

[tex]0.033 + (16-3)[/tex]

After that, solve the subtraction in order to clear the parenthesis.

[tex]0.033 +13[/tex]

[tex]13.033[/tex]

[tex]0.033 + (1.6*10-3)=13.033[/tex].

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

[tex]0.033 + (1.6*10^{-3} )[/tex]

[tex]0.033 + (1.6*\frac{1}{10^{3} } )\\ \\0.033 + (1.6*\frac{1}{1000 } )\\ \\0.033 + (\frac{1.6}{1000 } )\\ \\0.033 + (0.0016)\\ \\0.0346[/tex]