Is change in math always represented as a positive number even when its negative?

Hello there!

To find the value of n, work to isolate it from all other terms in the equation.

8n+7=31 - Start by subtracting 7 from both sides. 8n + 7 - 7 = 31 - 7

8n = 24 Next, divide both sides by 8 to finish isolating n. 8n÷8 = 24÷8

n = 3

This is your final answer.

I hope this was helpful and have a great rest of your day!

:)

For this case we must solve the following equation of first degree:

[tex]8n + 7 = 31[/tex]

We subtract "7" on both sides of the equation:

[tex]8n + 7-7 = 31-7\\8n = 24[/tex]

We divide between "8" on both sides of the equation:

[tex]\frac {8n} {8} = \frac {24} {8}\\n = 3[/tex]

Thus, the value of the variable n is 3.

Answer:

[tex]n = 3[/tex]

Answer:

h = - 12

Step-by-step explanation:

Isolate the term in h by adding 1 to both sides of the equation

[tex]\frac{h}{6}[/tex] = - 2 ( multiply both sides by 6 )

h = - 12

Answer:

B. She multiplied the dividend by 100 instead of 10.

Step-by-step explanation:

Ella had to divide[tex]1.848[/tex] by [tex]0.6[/tex]. To make it easier to divide, she thought of multiplying both the dividend and the divisor by 10.

Ella multiplied the divisor by 10 but mistakenly she multiplied the dividend by 100 instead of 10.

So her division problem changed totally.

Therefore, the correct answer option is B. She multiplied the dividend by 100 instead of 10.

Answer:

C) Multiply the first equation by 2, and multiply the second equation by 5.

Step-by-step explanation:

Given equations are :

4x − 5y = 4

and

3x+2y = −20

Now we need to select the best possible first step to solving the system by first eliminating the y variable. Where given choices of the possible steps are:

A) Multiply the first equation by −2, and multiply the second equation by 5.

B) Multiply the first equation by 2, and multiply the second equation by −5.

C) Multiply the first equation by 2, and multiply the second equation by 5.

D) None of the above

Since we need to eliminate y, then we must make coefficients of y equal in both equations. Easiest way is to multiply coefficient of first equation into 2nd equation and multiply coefficient of y from 2nd equation into first equation. Make sure that their sign is oppsite.

Hence correct choice is C)Multiply the first equation by 2, and multiply the second equation by 5.

Answer:

5 feet long

Step-by-step explanation:

According to the Pythagorean Theorem, a^2 + b^2 = c^2  where "a" and "b" are the two legs of the right triangle and "c" is the hypotenuse.

We are trying to find the part that is at an angle, which is "c". So if we know "a" is "3 and "b" is 4, we can plug the values into the equation.

3^2 + 4^2 = c^2       plug in the values

9  +  16 = c^2           simply the two squared values

25 = c^2                   add the two values

5 = c                          take the square root of both sides

c = 5                          switch the values

Question 1: Both are solutions.

Question 2: (4, 0)

Here ya go. This highlights the solution for you along with the work. Let me know if you have questions.

Answer: 2 2/3 or 2.6 repeating

Step-by-step explanation:

- Reduce the numbers With the greatest common divisor 2

- Calculate product

- Calculate the difference

- YOUR FINAL ANSWER

Hope I was able to satisfy your needs

First you make the fractions have a common denominator. In this case it would be 6.

Then you have 8 3/6 - 2 4/6.

Because the number you are subtracting is greater than what you are subtracting from, you can turn the fraction into an improper fraction.

8 3/6 = 7 9/6

9/6 - 4/6 = 5/6

Then subtract the whole numbers.

7-2 = 5

Answer: 5 5/6

Answer:

The answer is A

Step-by-step explanation:

The distance is 6 units.

On the x axis, the distance between A and D is 2 -4 or -4 +2 = -6. Mind you, distance is never negative so always use the absolute value, which is 6.

Ans = 6 units

Happy to help. Marking me the brainpower would really be appreciated.

Answer:

If you expand this using pascals triangle you will see that the fifth term is 126a^5b^4

the coefficient is the number 126

Answer:

The coefficient of the fifth term is 126.

Step-by-step explanation:

The question implies that after the expansion of [tex](a+b)^{9}[/tex], what would be the coefficient of the fifth term. This long expansion can be easily done by the application of the Pascal principle of expansion.

Thus,

[tex](a+b)^{9}[/tex] = [tex]a^{9}[/tex] + [tex]9a^{8}b[/tex] + [tex]36a^{7} b^{2}[/tex] + [tex]84a^{6}b^{3}[/tex] + [tex]126a^{5}b^{4}[/tex] + [tex]126a^{4} b^{5}[/tex] + [tex]84a^{3} b^{6}[/tex] + [tex]36a^{2} b^{7}[/tex] + [tex]9ab^{8}[/tex] + [tex]b^{9}[/tex]

So, from this expansion, the fifth term is [tex]126a^{5}b^{4}[/tex]. And its coefficient is 126.

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

(x₁, y₁) - point

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (5, 20) and (7, 22). Substitute:

[tex]m=\dfrac{22-20}{7-5}=\dfrac{2}{2}=1[/tex]

[tex]y-20=1(x-5)[/tex]

[tex]y-20=x-5[/tex]         add 20 to both sides

[tex]y=x+15[/tex]

➷ 40 + 25 = 65

75 - 65 = 10

The correct answer would be B. $10

➶ Hope This Helps You!

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Answer:

yes

Step-by-step explanation:

plz give me brainliestttt

I hope this helps.

-8y+7x

Answer:

[tex]7x-8y[/tex]

Step-by-step explanation:

We have been given an expression [tex](-3y-x)-(5y-8x)[/tex]. We are supposed to simplify our given expression.

Using distributive property [tex]a(b+c)=ab+ac[/tex], we will get:

[tex]-3y-x-1*5y-1*-8x[/tex]

[tex]-3y-x-5y+8x[/tex]

Now, let us combine like terms.

[tex]-x+8x-5y-3y[/tex]

[tex]7x-8y[/tex]

Therefore, the simplified form of our given expression would be [tex]7x-8y[/tex].

Answer:                      

Step-by-step explanation:                      

To find the difference between the two given numbers, we will subtract the smaller number from the greater number.                

[tex]30.1-16.35[/tex] = 13.75

So, the difference is 13.75                                  

Answer:

24

Step-by-step explanation:

the school will pay: 180 × (80÷100)

                                  = 144

the remaining amount is: 180 - 144

                                           = 36

if each student is paying 1.50 then no. of students is equal to: 36÷1.5

                                                                                                           = 24

Answer:

86.7

Step-by-step explanation:

2 x 10.2 x 4.25 = 86.7

To find the volume you need to multiply all these 3 values.

After multiplying it all that amount will be the answer.

The volume of the given dimensions is [tex]\(86.7\)[/tex] cubic units.

To find the volume, we multiply the three given dimensions together. The dimensions given are [tex]\(2\)[/tex], [tex]\(10 \frac{1}{5}\)[/tex], and [tex]\(4 \frac{1}{4}\)[/tex].

First, we need to convert the mixed numbers to improper fractions:

1. Convert [tex]\(10 \frac{1}{5}\)[/tex] to an improper fraction:

[tex]\[ 10 \frac{1}{5} = 10 + \frac{1}{5} = \frac{50}{5} + \frac{1}{5} = \frac{51}{5} \][/tex]

2. Convert [tex]\(4 \frac{1}{4}\)[/tex] to an improper fraction:

[tex]\[ 4 \frac{1}{4} = 4 + \frac{1}{4} = \frac{16}{4} + \frac{1}{4} = \frac{17}{4} \][/tex]

Next, multiply the three dimensions together.

First, convert the whole number [tex]\(2\)[/tex] to a fraction:

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

Now, multiply the fractions:

[tex]\[ \frac{2}{1} \times \frac{51}{5} \times \frac{17}{4} \][/tex]

[tex]\[ \frac{2 \times 51}{1 \times 5} = \frac{102}{5} \][/tex]

[tex]\[ \frac{102 \times 17}{5 \times 4} = \frac{1734}{20} \][/tex]

[tex]\[ \frac{1734}{20} = 86.7 \][/tex]

Answer:

Answer:

y=−4x is a direct variation with the constant of variation +(−4)

Any equation in (or modifiable into) the form y = a . x

is a direct variation with constant a

Step-by-step explanation:

Answer:

9m

Step-by-step explanation:

The surface area of a cube is given by

SA = 6s^2  where s is the side length

We know the surface area is 486 and the side length is z

486 = 6z^2

Divide each side by 6

486/6 = 6z^2/6

81 = z^2

Take the square root of each side

sqrt(81) = sqrt(z^2)

9 = z

Each side has a length of 9m

Answer:

y = 4(2^x)

Step-by-step explanation:

To write the exponential values, compare the y values. Notice they are multiples of 8 and they are increasing. This means the base is likely 2 or 4 since each of these numbers has the same multiples. Our options also only include base 2 and 4.

Try 4^1 = 4 and 4^4 = 256.

Try 2^1 = 2 and 2^4 = 16.

None of these give the exact values in the points. This means there is an initial value multiplied to them as well.

When x = 1 and the base is 4, the value is too small. But when x = 4, the value is too large. This cannot be reconciled.

When x = 1 and x = 4 for the base 2, both values are too small and could be multiplied by the same number to get the right values.

2*4 = 8

16*4 = 64

The initial value is 4 so the function is [tex]y = 4(2^x)[/tex]

Answer:

the answer is 715

Step-by-step explanation:

Answer:

715

Step-by-step explanation:

5*100

5*40

5*3

then add all together

Make sure to use order of operations

[tex]7x - (2x)2 + {x}^{3} [/tex]

[tex]7x - 4x + {x}^{3} [/tex]

[tex]3x + {x}^{3} [/tex]

[tex]3( - 2) + { (- 2)}^{3} [/tex]

[tex] - 6 + - 8[/tex]

[tex] - 14[/tex]

[tex]f(x)=\sqrt{x}[/tex] is the Square Root Function. These are the characteristics of the graph of the square root function:

Since the function [tex]g(x)=\sqrt{x}-2[/tex], then this stands for the form:

[tex]g(x)=f(x)-c[/tex]. This form tells us that the graph of f has been shifted c units downward where the value c = 2 in this problem. The graphs of both functions are shown below. The red one is [tex]f(x)[/tex] while the blue one is [tex]g(x)[/tex]

Answer:

Step-by-step explanation:

The parent function is

[tex]f(x)=\sqrt{x}[/tex]

Remember that a parent function is the simplest function of its type, like this case the function [tex]f(x)[/tex] is the simplest form of radical functions.

The transformed function is

[tex]g(x)=\sqrt{x}-2[/tex]

Notice that the difference between these two functions is that [tex]g(x)[/tex] has 2 units less on the vertical or dependent variable, such transformation indicates a vertical translation downwards.

Therefore, the transfomation made is a vertical translation 2 units downwards.

[tex]\huge\boxed{\text{$17$ miles}}[/tex]

This is a fairly simple problem. Just add all of the miles together:

[tex]\begin{array}{c}4+5+3+5\\9+8\\\boxed{17}\end{array}[/tex]

Answer:

17 miles in all.

Step-by-step explanation:

4+5+3+5=17

C) A resident in the group who supports the tax is likely to be male

The correct choice is:

 A resident in the group who supports the tax is likely to be male.

The table is given by:

                   Support              Against           Total

Female            20%                    74%              54%

Male                 80%                    27%              44%

Total                 100%                  100%             100%

Based on the table we observe that the of the people who supported the tax most of them are males.

Since the percent of males who supported tax are 80% which is more than the females who supported tax i.e. 20%.

Hence, the answer is: last option.

Julie would earn $12/h×16h=$192

This rate means that for each hour she works, she gets $12.

The general formula for calculating these types of problems is:

m = r × t,

where m marks the total amount of money, r marks the rate and t marks the time.

To find the time when

m = $228

r = $12/h,

t = m ÷ t = 228 ÷ 12 = 19 hours.

Julie's income for 16 hours is $192. Julie takes only 24 hours to earn $288. The rate is $12 for each hour.

A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Given

Loren and Julie have different part-time jobs after school.

They are both paid at a constant rate of dollars per hour.

The income of Julie is $36 in 3 hours.

For 1 hour, Julie earns $12.

Thus the rate of Julie is $12 per hour.

For the 16 hours, Julie's income will be.

Julie's income for 16 hours = 12 x 16

Julie's income for 16 hours = $192

Julie's income for 16 hours is $192.

Julie takes time to earn $228 will be

[tex]\rm Time = \dfrac{288}{12}\\\\Time = 24[/tex]

Thus, Julie takes only 24 hours to earn $288.

More about the ratio and the proportion link is given below.

https://brainly.com/question/1025229

Answer:

The standard form of the equation is y = 2x^2 + 16x + 25

Step-by-step explanation:

To find the standard form, first square the parenthesis.

y = 2(x + 4)^2 - 7

y = 2(x^2 + -8x + 16) - 7

Now distribute the 2

y = 2(x^2 + 8x + 16) - 7

y = 2x^2 + 16x + 32 - 7

Now combine like terms

y = 2x^2 + 16x + 32 - 7

y = 2x^2 + 16x + 25

Answer:

y = 2x^2 + 16x + 25