Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer
correct. If possible, reduce the final sum (look at the pic)

In linear equation, -1.15  is the value of 21 over 4 − 32 over 5.

What in mathematics is a linear equation?

An algebraic equation B. y=mx+b (where m is the slope and b is the y-intercept) containing simple constants and first-order (linear) components, such as the following, is called a linear equation. The above is sometimes called a "linear equation in two variables" where x and y are variables.

                                An equation with only one variable is called a univariate linear equation. It contains the expression Ax + B = 0. where A and B are any two real numbers and x is an ambiguous variable with only one possible value. 

(21/4) - (32/5)

=   21 * 5 - 32 * 4/ 20

=  105 -  128/20

= -1.15

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Since the inflation was exactly increased to the same percentage as the salary increase of Jordan, the increase in his purchasing power is zero.

Inflation is a sustained increase in the general price level of goods and services in an economy over a period of time. When the general price level rises, each unit of currency buys fewer goods and services; consequently, inflation reflects a reduction in the purchasing power of money.

If the pay raise is not above the percentage of the inflation then there would be no net increase in the purchasing power.

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Despite traditional economic theory suggesting that an increase in the minimum wage should lead to unemployment, the actual impact on employment has been more nuanced. Empirical evidence suggests that moderate increases in the minimum wage have not led to massive job losses, but rather have resulted in small increases in labor costs that are offset by increased productivity and reduced employee turnover. Additionally, higher wages can increase consumer spending, leading to an increase in demand for goods and services, which can ultimately create more jobs.

There are several reasons why the federal minimum wage in the US is lower than in other developed countries. One reason is the political climate in the US, where there is often resistance to government intervention in the labor market. Additionally, many US states have their own minimum wage laws, which can be higher than the federal minimum wage. Finally, the US has a large low-skilled immigrant workforce, which can put downward pressure on wages.

I am not okay with the real minimum wage falling over time with the rise of inflation. Inflation erodes the purchasing power of workers, making it difficult for them to make ends meet. This can lead to increased financial hardship, which can have negative effects on individuals and families. Furthermore, the minimum wage was originally designed to ensure that workers earn a living wage, which is a basic necessity for a decent standard of living. As such, it is important that the minimum wage keep pace with inflation.

According to the Bureau of Labor Statistics, in 2021, about 1.9 million workers in the US earned at or below the federal minimum wage of $7.25 per hour. However, many more workers earn slightly above the minimum wage, and an increase in the minimum wage could potentially raise wages for those workers as well. Additionally, many states have higher minimum wage rates than the federal minimum wage, which means that the number of workers affected by changes to the minimum wage will vary depending on the state.

~~~Harsha~~~

Answer:

8.525

Step-by-step explanation:

a) There are 16 x 27 = 432 different ways to answer the entire test.

b) The probability is 1/432.

c) The probability is 1/54.

d) The probability is 53/54.

(a) Since there are 4 true/false questions and 2 choices for each question, there are\(2^4 = 16\) ways to answer these questions. Similarly, there are 3 multiple choice questions with 3 choices each, so there are \(3^3 = 27\) ways to answer these questions.

(b) If a person randomly guesses an answer for each question, the probability of getting all 4 true/false questions correct is \((1/2)^4 = 1/16,\)and the probability of getting all 3 multiple choice questions correct is \((1/3)^3 = 1/27.\) To find the probability of getting all questions correct, we multiply these probabilities: (1/16) x (1/27) = 1/432.

(c) Similarly, the probability of getting all 4 true/false questions wrong is also\((1/2)^4 = 1/16\), and the probability of getting all 3 multiple choice questions wrong is \((2/3)^3 = 8/27\). To find the probability of getting all questions wrong, we multiply these probabilities: (1/16) x (8/27) = 1/54.

(d) The probability of not getting any answer correct is the same as getting all answers wrong, which we found to be 1/54. Therefore, the probability of getting at least one answer correct is 1 - 1/54 = 53/54.

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Answer:

  499.338 feet

Step-by-step explanation:

You want to know the distance traveled by an object in 25 seconds when its velocity is described by 20+5cos(t) feet per second.

The distance an object travels is the integral of its velocity. For the given velocity and time period, the distance is ...

  \(\displaystyle d=\int_0^{25}{v(t)}\,dt=\int_0^{25}{(20+5\cos(t))}\,dt=(20t+5\sin(t))|_0^{25}\\\\d=500+5\sin(25)\approx\boxed{499.338\quad\text{feet}}\)

The distance traveled in 25 seconds is 499.33 feet.

It is required to find the distance traveled in 25 seconds.

The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.

Given:

We have to find the distance , we will integrate v(t) from 0 to 25 second.

Consider an object traveling at constant velocity v = k. Then, each second, it travels k feet, so after t seconds, the distance traveled is k*t.

Now, suppose its speed increases by 1 feet/sec . So, estimate for distance traveled after t seconds is

1 + 2 + 3 + 4 + ... + t = t(t+1)/2, or approximately 1/2 t^2.

According to given question we have

Given a velocity function v, the distance s is figured by taking the integral. In this case,

v = 20 + 5 cos(t)

s = 20t + 5 sin(t) from 0 to 25

= s(45)-s(0)

s(0) = 0

so, the distance is

s(25) = 20*25 + 5sin(25)

= 500 -0.661

=499.33 feet.

Therefore, the distance traveled in 25 seconds is 499.33 feet.

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Solution:

Given

We want to determine f(2)

To do this, substitute x=2 into f(x)

The functions for this problem are defined as follows:

The functions for this problem are given as follows:

The addition and subtraction functions for this problem are given as follows:

At x = -2, the numeric value of the subtraction function is given as follows:

(t - s)(-2) = -2³ - 5(-2)²

(t - s)(-2) = -28.

The product function for this problem is given as follows:

(ts)(x) = \(5x^5\)

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The number of miles of the trip was 24

The given parameters are

Flat rate = $5

Rate = $1.50 per mile

The total charge is calculated as:

y = Flat rate +Rate * x

This gives

y = 5 + 1.5x

When the charge is 41, we have:

5 + 1.5x = 41

Evaluate the like terms

1.5x= 36

Divide by x

x = 24

Hence, the number of miles of the trip was 24

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Answer:

The total cost as $96

Step-by-step explanation:

To find the total amount find the tax amount and the tip amount

75 * 8% = 6

75 * 20% = 15

add 6 and 15 to 75 to get 96

Answer:

ok

Step-by-step

ok

Answer:

the sales tax percentage is 6%

Step-by-step explanation:

To solve this you want to first find what percent $95.40 is of $90. Then we can subtract 100% to find the extra percent (the sales tax).

95.40 is what percent of 90?

95.40 = X · 90

Divide by 90 on both sides.

1.06 = X

So now we know that 95.40 is 106% of 90. We subtract 100% from 106% to get 6%. Therefore the sales tax percentage is 6%.

Answer:

2 hours

Step-by-step explanation:

Sandy is 4 times faster than her brother.1/2 hour x 4 =2hours

Answer:

the distance between (4,-2) and (0,4) is √(52) or approximately 7.2 units.

Step-by-step explanation:

To find the distance between two points in a Cartesian coordinate plane, we can use the distance formula:

distance = √((x2-x1)² + (y2-y1)²)

In this case, the two points are (4,-2) and (0,4). So,

x1 = 4, y1 = -2 and x2 = 0, y2 = 4

By substituting these values in the distance formula, we get:

distance = √((0-4)² + (4-(-2))²)

distance = √((-4)² + 6²)

distance = √(16 + 36)

distance = √(52)

So the distance between (4,-2) and (0,4) is √(52) or approximately 7.2 units.

Answer:

465??

Step-by-step explanation:

We know that 22.7% of this amount is used for cooking,the family uses 300.001 gallons of water every day.

What is gallons?

Gallon is a unit of measurement used to quantify liquid volume in both the US customary and British imperial systems of measurement.

Let's start by using algebra to solve the problem.

Let x be the total amount of water the family uses every day. We know that 22.7% of this amount is used for cooking, which means:

0.227x = 68.1

To solve for x, we can divide both sides of the equation by 0.227:

x = 68.1 ÷ 0.227

x = 300.001 (rounded to three decimal places)

Therefore, the family uses 300.001 gallons of water every day.

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The expression of the statement that is given above can be written as follows: 262144y³ + 27.

To determine how to express the given statement the following should be carried out.

When a number is said to be cubed, it means that the number should be times by itself three consecutive times.

That is (64y + 3)³. This means that various components should be multiplied by itself three times. That is,

= 64×64×64(y)³ + 3×3×3

= 262144y³ + 27.

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The IRA that is best is C. The Roth IRA is the best choice because the employee will pay more in taxes during employment than in retirement.

When contributing to a Roth IRA, one must use after-tax dollars, resulting in taxes being paid on the money prior to it being deposited into the account. Withdrawals made from a Roth IRA that meet the necessary qualifications are completely exempt from taxation, thus employees will not be required to pay any taxes on the amount withdrawn during their retirement period.

It is probable that an employee's retirement income tax bracket will be higher than their current bracket, given the anticipated increase in their income and tax rate.

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Answer:

x = 1

Step-by-step explanation:

x / 5 = 5 / 25,

Divide the denominators bigger one to smaller one, then that is the numerator for the larger fraction.

do 5 divided by 5 which is 1

Or a more simple way,

1/5 = 5/25   multiply 1/5 by 5 top and bottom which gets 5 / 25

Answer:

x = 1

Step-by-step explanation:

Step 1: Cross-multiply

x*(25) = (5)*(5)

Step 2: Divide both sides by 25.

Answer is 1

Answer:

11 and 12

Step-by-step explanation:

\(\sqrt{128} =11.3\)

meaning it lies between 11 and 12

Answer:

1/4 miles

Step-by-step explanation:

Hey there!

Well starting at Campbell and going to Morristown it is 1/4 miles.

Going from Campbell to Clarksville it is 2/4 miles.

So to find the difference we’ll subtract.

2/4 - 1/4

= 1/4 miles

Hope this helps :)

16. A whole number is always a natural number.

17. A fraction is sometimes a decimal.

19. An integer is sometimes a natual number.

20. A natural number is sometimes an integer. always a counting number. always a rational number.

16. A whole number is always a natural number.

Because whole numbers include 0 and positive numbers, and natural numbers are the numbers used to count and order things, therefore, a whole number is always a natural number.

17. A fraction is sometimes a decimal.

Because some fraction can give whole numbers and decimals as a result. Example of whole number: 50/2= 25, 25 is a whole number.

Example of decimal number: 3/2= 1.5, 1.5 is a decimal number.

19. An integer is sometimes a natual number.

Because integers are all whole numbers (positives and negatives) and 0, and natural numbers are only the positive numbers, those that can be used to count and order things.

20. A natural number is sometimes an integer. always a counting number. always a rational number.

Because integers are all whole numbers (positives and negatives) and 0, and natural numbers are only the positive numbers, those that can be used to count and order things. They are always rational numbers because can always be represented as the fraction of 2 integers.

Check the attatched image for a better understanding of the classification of numbers.

Answer:

C. Elements are listed on the periodic table

Step-by-step explanation:

Answer:

3x + 6

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define Expression

2(-x + 3) + 5x

Step 2: Simplify

Answer:

3/8  = 12/32 is a proportion

Step-by-step explanation:

2:3 and 9:4 is not a proportion, 10/12 and 20/25 is not a proportion, 4/9 and 17/38 is not a proportion

Answer:

Step-by-step explanation:

To avoid dividing by zero, denominator cannot equal 0:

                   \(x^2-9\neq 0\)

       \((x+3)(x-3)\neq0\)

        \(x\neq-3 \text{ and }x\neq3\)

Solution: We cannot use \(x=-3 \text{ and }x=3\).

Answer:

8% of $15,000 = .08 × $15,000 = $1,200

Answer: 47.5 cm^2

Step-by-step explanation:

Tony's mistake is that he added the area of the rectangle and triangle. Instead you should subtract the area of the triangle from the rectangle.

1. The area of the rectangle is 5*11 = 55 cm^2

2. The area of the nonshaded triangle is 5*3*(1/2) = 7.5 cm^2

3. The area of the shaded region is the area of the rectangle minus the area of the triangle. This equals 55 - 7.5 cm^2 = 47.5 cm^2

Answer:

Perpendicular line ⇒ 2x + 9y + 42 = 0

midpoint: (-1,1)

Step-by-step explanation:

Let's find the coordinates of midpoint of AB

Here, from figure, A = (-3,-2), B = (1,4)

So midpoint:

\(P = (\frac{-3+1}{2},\frac{-2+4}{2})\)

∴ P = (-1, 1)

Now, given straight line is x - 2y = -8(x-8)

⇒x - 2y = -8x+64

⇒9x - 2y - 64 = 0

Perpendicular line to 9x - 2y - 64 = 0 is 2x + 9y + k = 0

Perpendicular line passes though (6,-6)

Putting the values, we get

2(6) + 9(-6) + k = 0

⇒12 - 54 + k = 0

⇒k = 42

∴ Perpendicular line ⇒ 2x + 9y + 42 = 0

Answer:

no

Step-by-step explanation:

Answer:

Step-by-step explanation:

In my opinion I would say No but I could be wrong