find a number such that 8 times the number is 36 greater than the opposite of the number. Explain also please. ♥

The equation of the line will be y = ( 2 / 3 )x -2. The correct option is B.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

Given that the line in the image has the points ( 3, 0 ) and ( 0,-2). The equation of the line will be calculated by finding the slope and the y-intercept of the line.

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( -2 - 0 )/ ( 0 - 3 )

Slope = ( 2 / 3 )

y = mx + c

-2 = m 9 0 ) + c

c = - 2

The equation of the line will be written as:-

y = mx + c

y = ( 2 / 3 )x - 2

Therefore, the equation of the line will be y = ( 2 / 3 )x -2. The correct option is B.

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A music teaching system that is used to engage students more in music practice. The music teacher needs a ladder system to teach high notes to students.

Therefore, the music teacher needs a ladder system to teach high notes to students.

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Let

x-----> the original price of the calculator

y-----> the original price of the binder

we know that

[tex]15\%= \frac{15}{100}=0.15[/tex]

[tex](x+y)(1-0.15)=107.27[/tex]

[tex](x+y)(0.85)=107.27[/tex] -----> equation A

[tex]y=6.20[/tex] -----> equation B

substitute the value of y in the equation A and solve for x

[tex](x+6.20)(0.85)=107.27[/tex]

[tex](x+6.20)=(107.27/0.85)[/tex]

[tex]x=(107.27/0.85)-6.20[/tex]

[tex]x=126.20-6.20[/tex]

[tex]x=\$120[/tex]

therefore

the answer is

the original price of the calculator is [tex]\$120[/tex]

The commutative property of addition allows us to rearrange the order of terms without changing the sum. Demonstrating this property makes simplifying expressions easier by rearranging terms.

The commutative property of addition states that changing the order of the numbers being added does not change the sum. In the expression (-3 + i) + (18 + 5i), we can demonstrate the use of the commutative property in the first step by rearranging the terms as (-3 + 18) + (i + 5i).

Simplifying further, we get 15 + 6i as the result after applying the commutative property of addition.

Answer:

b) y=35x

Step-by-step explanation:

Since we have a linear function, with b=0 in the form y=mx, then line passes through the Origin (0,0).

We can see y=35x it's the only function with b=0.

Algebraically, let's test it to find out the initial value for x in this function.

y=0

y=35x

0=35x

x=0/35

x=0

(0,0)

Answer:

b) y=35x is the right answer

Step-by-step explanation:

I just did it and it was correct

A man borrowed $500 at a 12% annual interest rate and repaid it after 18 months. The calculated simple interest on the loan is $6.00.

To calculate simple interest, you can use the formula:

Simple Interest = [tex]\frac{P \times R \times T}{100}[/tex]

where:

- P is the principal amount (the initial amount borrowed),

- R is the rate of interest per annum, and

- T is the time the money is borrowed for in years.

In this case:

- P = $500,

- R = 12%(or 0.12 as a decimal), and

- T = 18 months (which is 1.5 years since [tex]\( \frac{18}{12} = 1.5 \))[/tex].

Now plug these values into the formula:

Simple Interest = [tex]\frac{500 \times 0.12 \times 1.5}{100}[/tex]

Calculate this expression to find the simple interest.

Simple Interest = [tex]\frac{500 \times 0.12 \times 1.5}{100}[/tex]

Simple Interest = [tex]\frac{90}{100}[/tex]

Simple Interest = $6.00

Therefore, the simple interest on a $500 loan at an annual interest rate of 12% over 18 months is $6.00.

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The complete question is:

A man borrows $500 and pays it back after 18 months at 12% per annum. Find the simple interest.

The simple interest is $90.

The formula for simple interest is:

I = PRT

Where:

I = the interest paid

P = the principal amount borrowed

R = the interest rate

T = the time period (in years)

We know that P = $500, R = 12% = 0.12, and T = 18 months = 18/12 = 1.5 years. We can now plug these values into the formula to solve for I:

I = $500 * 0.12 * 1.5 = $90

Therefore, the simple interest is $90.

The complete question is:

A man borrows $500 and pays it back after 18 months at 12% per annum. Find the simple interest.

Final answer:

A 66-kg person contains approximately 39.6 kilograms of water, considering that the human body is comprised of about 60% water.

Explanation:

To estimate how many kilograms of water is in a 66-kg person, biology and a general understanding of the human body composition are required. The human body is comprised of approximately 60% water. Thus, to calculate the mass of water in a 66-kg person, the following calculation is performed:

Water mass = Total body mass x Percentage of water in the body

Water mass = 66 kg x 0.60

Water mass = 39.6 kg

Therefore, a 66-kg person contains approximately 39.6 kilograms of water.

The required amount of paint that covers the whole house is 20/ 6 gallons.

Given that,
5/6 gallon of paint covers 1/4 of the house then how much paint is needed for the entire house is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
5/6 gallon of paint covers 1/4 house
5 / 6 gallon  = 1 / 4 house
multiply by 4 on both sides

4 * 5 / 6 = 4 * 1 / 4 house
20 / 6 = 1 house

Thus, the required amount of paint that covers the whole house is 20/ 6 gallons.

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Trey can expect to make approximately 30 out of 75 free throw shots based on his previous success rate of 12 out of 30 shots.

To find how many free throws Trey might make out of 75 attempts, we use the proportion of his successful shots in the initial 30 attempts. Trey made 12 out of 30 shots, which is a success rate of  [tex]\( \frac{12}{30} = \frac{2}{5} \).[/tex] We can expect him to maintain this rate over 75 shots:

[tex]\[ \text{Expected shots made} = \left( \frac{2}{5} \right) \times 75 = \frac{2 \times 75}{5} = 30 \][/tex]

Therefore, Trey can expect to make approximately 30 free throws out of 75 attempts. This estimation assumes his skill level and shooting conditions remain consistent throughout the attempts.

This calculation is a basic projection and doesn't account for potential variations in Trey's performance. Factors such as fatigue, practice, and pressure can influence his actual performance. However, it provides a reasonable estimate based on his past performance.

Using this estimate, coaches or analysts can make rough predictions about Trey's potential scoring contribution from free throws in a game or practice session, helping them plan strategies accordingly.

Answer:

The answer is A

Step-by-step explanation:the country’s proximity of the equator just took the test

The correct answer is the country's proximity to the equator.

A line notionally drawn on the earth equidistant from the poles, dividing the earth into northern and southern hemispheres and constituting the parallel of latitude 0°.

All the options given, effects the climate of a region less or more, but climate of Brazil is mainly influenced by it location with the earth's equator

The climate of Brazil is generally hot and humid, temperature remains high that is due to its position proximity to the equator.

Brazil's climate is dominated by equatorial and tropical climates.

The equator passes through the northern part of Brazil which means that the sun's rays are perpendicular in this region throughout the year. Hence, making the temperature here is hot.

Hence, the correct option is the country's proximity to the equator.

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To make 6 dozen cookies, you will need 2 1/2 cups of flour.

To find out how many cups of flour are needed to make 6 dozen cookies, we can set up a proportion:

1 2/3 cups / 4 dozen cookies = x cups / 6 dozen cookies

Cross multiplying, we get:

4 dozen cookies * x cups = 1 2/3 cups * 6 dozen cookies

Simplifying, we find that x cups = (1 2/3 cups * 6 dozen cookies) / 4 dozen cookies

Therefore, x cups = 2 1/2 cups

Final answer:

To make 6 dozen cookies, you would need 2.5 cups of flour.

Explanation:

To find out how many cups of flour are needed to make 6 dozen cookies, we can set up a proportion using the given information. We know that 1 2/3 cups of flour are needed to make 4 dozen cookies. So we can set up the proportion:

1 2/3 cups / 4 dozen = x cups / 6 dozen

To solve for x, we can cross multiply and then divide:

(1 2/3 cups) * (6 dozen) = (4 dozen) * x cups

(5/3) * (6) = (4) * x

30/3 = 4x

10 = 4x

x = 10/4 = 2.5

Therefore, you would need 2.5 cups of flour to make 6 dozen cookies.

Answer:

The table shows the number of badges earned, based on the number of boxes of cards sold.

Let b(x) represents the number of badges earned and x represents the  number of boxes of cards sold.

Given that:

[tex]b(20) = 3[/tex]

here, x = 20 number of boxes of cards sold

and

b(20) represents the number of badges earned or we can say that the number of badges earned is 3.

Therefore, b(20) = 3 mean in terms of the problem is that you sell 20 boxes you will get 3 badges

we know that

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

in this problem we have

[tex]A(-1,-7)\ B(1,5)[/tex]

substitute the values in the formula

[tex]m=\frac{5+7}{1+1}[/tex]

[tex]m=\frac{12}{2}[/tex]

[tex]m=6[/tex]

therefore

the answer is

the slope of the line is [tex]6[/tex]

To find the greatest number of pens or pencils that Louis can place in each bag, we need to find the greatest common divisor (GCD) of 45 and 75. Using the Euclidean algorithm, the GCD is determined to be 15.

In order to find the greatest number of pens or pencils that Louis can place in each bag, we need to find the greatest common divisor (GCD) of the given numbers, 45 and 75. The GCD represents the largest number that can evenly divide both 45 and 75.

We can find the GCD by using the Euclidean algorithm. Starting with the larger number (75), we divide it by the smaller number (45) and find the remainder (30). Then, we divide the divisor (45) by the remainder (30) and find the new remainder (15). We continue this process until we reach a remainder of 0. The last non-zero remainder (15) is the GCD of 45 and 75.

Therefore, the greatest number of pens or pencils that Louis can place in each bag is 15.