How do you solve 5(N+4)/3 = N-8

Answer:

B

Step-by-step explanation:

put equation in slope-intercept formula (y=mx+b)

8x-2y=24

-8x      -8x

-2y=-8x+24

divide each side by -2

y=4x-12

the "b" in the formula is the y-intercept which is -12, therefore B is correct

The value that each term can be multiplied by to eliminate the decimals in the equation is 4

The equation is given as

0.5x + 1 = 0.75x

Represent the terms as a fraction

So, we have

1/2x + 1 = 3/4x

The denominators in th​e above fractions are

2 and 4

The LCM of 2 and 4 is 4

Hence, the value that each term can be multiplied by to eliminate the decimals in the equation is 4

Read more about equations at

https://brainly.com/question/13763238

#SPJ1

The paycheck of the salesperson at the clothing store for two weeks will amount to c. $890.

The paycheck can be computed by working out the base salary, overtime pay if any, and the sales commission separately and adding up these.

Some deductions (withholding taxes and insurance) are made to the gross pay to arrive at the paycheck, which is known as the net pay.

Base salary = $10.00 per hour

Overtime pay = 1.5 of the base salary per hour

Work week = 40 hours

Commission on total sales = 3%

Sales for a month = $3,000

Commission on $3,000 sales = $900 ($3,000 x 3%)

Base salary for two weeks = $800 ($10 x 40 x 2)

Paycheck = $890 ($800 + $900)

Thus, the paycheck of the salesperson at the clothing store for two weeks will amount to c. $890.

Learn more about calculating paychecks at https://brainly.com/question/14972403

#SPJ1

Answer:

n = 19

Step-by-step explanation:

2n > 36 ( divide both sides by 2 )

n > 18

and

5n < 100 ( divide both sides by 5 )

n < 20

so n > 18 and n < 20

thus n = 19

Answer:

i) Consecutive interior angles

ii) Supplementary angles

iii) The two oars are parallel by consecutive interior angles theorem

Step-by-step explanation:

i) m∠1  and m∠2 lie between two line and on the same side of the line passing through the two lines. Therefore, they are consecutive interior angles

ii)x = 10

m∠1 = 6x + 18

= 6(10) + 18

= 60 + 18

= 78

m∠2 = 9x + 12

= 9(10) + 12

= 90 + 12

= 102

m∠1 + m∠2 = 72 + 108 = 180

Since m∠1 and m∠2 add to 180, they are supplementary angles.

iii) The two oars are parallel

consecutive interior angle theorem:

If  a transversal cuts through two line and the consecutive interior angles are supplimentary, then the two lines are parallel

Answer:

40/100

Step-by-step explanation:

Answer:

hgkgbnnhm,

Step-by-step explanation:

Answer:

it's the same side, so it'll be 15/30

The corresponding areas under the curves for y = 2x-x² in the interval [1, 2] and y = x³-6x²+8x in the interval [0, 4] are 2/3 unit² and 0 unit²

Given:

1. y = 2x-x² in the interval [1, 2]

2. y = x³-6x²+8x in the interval [0, 4]

In order to find  the area under the curve for these functions for the given intervals, we will take the integral of the functions and use the intervals as upper and lower limits: Thus:

y = 2x-x² in the interval [1, 2]  will be:

\(\int\limits^2_1 {2x-x^{2} } \, dx = \left[\frac{ 2x^2}{2}-\frac{ x^3}{3}\right]_1^2\)

                   \(= \left[x^{2} -\frac{ x^3}{3}\right]_1^2\)

Substitute the value of the upper and lower limits into x:

               =  [2²- 2³/3] - [1²- 1³/3]

              =   [4 - 8/3] - [ 1 - 1/3]

              =   [4/3] - [2/3]

              = 2/3 unit²

y = x³-6x²+8x in the interval [0, 4] will be:

 \(\int\limits^4_0 {x^{3} -6x^{2} + 8x } \, dx = \left[\frac{ x^4}{4}-\frac{ 6x^3}{3}+\frac{ 8x^2}{2}\right]_0^4\)

                               \(= \left[\frac{ x^4}{4}- 2x^3+4x^2\right]_0^4\)

                              = [4⁴/4 - 2(4)³ + 4(4)²] - [0⁴/4 - 2(0)³ + 4(0)²]

                              =  [ 64 - 128 + 64] - [0 - 0 -0]

                              = 0 unit²

Therefore, the areas under the curves y = 2x-x² in the interval [1, 2]

and y = x³-6x²+8x in the interval [0, 4] are 2/3 unit² and 0 unit² respectively

Learn more about area under the curve on:

https://brainly.com/question/20733870

#SPJ1

The information given about the hypothesis shows that the null hypothesis is that the H0 equals 1775 and the alternate hypothesis is that it's less than 1175.

It should be noted that the distribution given in the information is normal. The z score based on the information will be:

= (1806 - 1775)/70/✓16

= 1.7714

Also, the test statistic that was used is the z score. The p value is 0.0382. Therefore, the null hypothesis will be rejected.

Learn more about hypothesis on:

brainly.com/question/11555274

#SPJ1

Answer:

y=(-1/4)x -6

Step-by-step explanation:

you have to use the equation y=mx+b where

m is the slope =rise /run and is negative because the line goes down from left to right m= -1/4 (take two points on the graph to see the change in y and x)

b is the y-intercept and from graph we see is -6

so the equation is y=(-1/4)x -6

The benefit in the percentage did he make at the time of purchasing and selling the car is 10%.

Since George bought a car at $5000 and sold it at $5500

So, the profit percentage be like

\(= (5500 - 5000) \div 5000\)

= 10%

hence, The benefit in the percentage did he make at the time of purchasing and selling the car is 10%.

Learn more about percentage here: https://brainly.com/question/24552083

Step-by-step explanation:

Simple, she found the sum of the interior angles not exterior angles.

The exterior angles of any polygon add up to 360 degrees.

What Cindy did was found the total interior angle measure of a hexagon which is 720

Answer:

3/14

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

To write 4/5 as a percent have to remember that 1 equal 100% and that what you need to do is just to multiply the number by 100 and add at the end symbol %. 4/5 * 100 = 0.8 * 100 = 80% And finally we have: 4/5 as a percent equals 80%

Answer:

0.80

Step-by-step explanation:

1/5=0.20

1/5×4=0.80

The degree of a polynomial is the highest power of the polynomial.

The polynomial is \(\mathbf{P(x) = (x + 3)^4}\)

The degree is given as:

\(\mathbf{n = 4}\)

The zero is given as:

\(\mathbf{x = -3}\)

Add 3 to both sides

\(\mathbf{x + 3= 0}\)

From the question, we understand that the polynomial has a single zero.

So, the polynomial is:

\(\mathbf{P(x) = (x + 3)^n}\)

Substitute 4 for n

\(\mathbf{P(x) = (x + 3)^4}\)

Hence, the polynomial is \(\mathbf{P(x) = (x + 3)^4}\)

Read more about polynomials at:

https://brainly.com/question/11536910

Answer:

33 , 39

Step-by-step explanation:

given

9 , 15 , 21 , 27

there is a common difference between consecutive terms, that is

15 - 9 = 21 - 15 = 27 - 21 = 6

to obtain terms in the sequence add 6 to the preceding term

27 + 6 = 33

33 + 6 = 39

the next two terms are 33 and 39

At the given point,

\(f(5,0) = \dfrac1{\sqrt{5^2 + 0^2 - 9}} = \dfrac1{\sqrt{16}} = \dfrac14\)

Then the level curve is

\(\dfrac1{\sqrt{x^2 + y^2 - 9}} = \dfrac14 \\\\ \implies \sqrt{x^2 + y^2 - 9} = 4 \\\\ \implies x^2 + y^2 - 9 = 4^2 \\\\ \implies x^2 + y^2 = 25 = 5^2\)

which is a circle centered at the origin with radius 5 - quite easy to sketch.

Answer:

The answer is

Step-by-step explanation:

f(x) = 2x² + 1

g(x) = 3x - 5

To find f - g(x) subtract g(x) from f(x)

That's

f-g(x) = 2x² + 1 - (3x - 5)

= 2x² + 1 - 3x + 5

= 2x² - 3x + 6

Hope this helps you

The area of an equilateral triangle is given by

where a is the side length of the triangle.

Now, for our case a = 12; therefore, the above formula gives

In decimal form this is

Answer: 2 3/8

I got an A

Answer:

2 + 3/8

Step-by-step explanation:

Therefore we get 19 / 8 = 2 + 3/8 , which is written as 2 3/8 , called a mixed number. To convert 19/8 you do division; 8 into 19 goes 2 times with 3 left over; so 2 3/8.

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Answer:

Solution given:

angle : 80°

hypotenuse:y=?

opposite=21

we have

Sin 80=\(\frac{opposite} {hypotenuse}=\frac{21}{y}\)

doing crisscrossed multiplication

we get

y=\(\frac{21}{Sin 80°}\)

y=21.32

Answer:

LCM stands for Least Common Multiple

To calculate LCM you need to divide the no.s given by smallest divisor going to the greatest until the no.s can be divided no more

Answer:

10.4

Step-by-step explanation:

100%=52

: . 20=?

= 20% x 52

=20/100 x 52

=1040/100

=10.4

Answer:

Hi! The answer to your question is 72 Cupcakes

Step-by-step explanation:

\(60+48 = 108\)

\(180 - 108 = 72\)

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Answer:

Tan J = 3/4

Step-by-step explanation:

Recall, SOH CAH TOA

TOA means:

Tan J = Opp/Adj

Reference angle = <J

Opposite = 15

Adjacent = 20

Plug in the vakues

Tan J = 15/20

Simplify

Tan J = 3/4

1. Find the graph of the parabola attached below

2. Vertex (-4, 2)   Focus (-7/2, 2)  Directrix (x = -9/2)  Endpoints (-7/2, 1) (-7/2, 3)

For the parabola,  x = 1/2(y-2)² - 4 we will use the equation x = 4p(y-k)² + h,

Vertex → (h, k)

In our given equation, (y - 2) → (y - k), so k = 2. The term on the rightmost side of our equation (-4) → h in the form, so we know h = -4. ∴  vertex (-4, 2).

focus → (h, k) = (-4, 2); P = 1/2

Parabola is symmetric around the x axis and so the focus lies a distance P, from the center, along the x axis.

∴  Focus is (-4 + p, 2)

(-4 + 1/2, 2) ⇒ (-7/2, 2)

directrix → x = d

Parabola is symmetric around the x axis and therefore the directrix is a line paralled to the y axis a distance away from the ceter (-4, 2) x coordinate.

∴ x = -4 - p   ⇒ x = -4 - 1/2

x = 9/2

focal chord endpoints →

The focus of the parabola is (-7/2, 2).

The y-coordinate of the focus is 2, so the y-coordinates of the endpoints of the focal chord are 2 + 1 and 2 - 1, → 3 and 1.

Therefore, the endpoints of the focal chord are:

(-7/2, 3) and (-7/2, 1).

Find more exercises on parabola;

https://brainly.com/question/11911877

#SPJ1

The true statement is; II. Option D

From the information given, we have that;

I. The set of all second-degree polynomials with the standard operations is a vector space

II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space

III. The set of second quadrant vectors with the standard operations is a vector space

Note that;

Learn more about polynomials at: https://brainly.com/question/4142886

#SPJ1