If DE = 5x, EF = x + 8, and DF = 20, what is EF? Simplify your answer and write it as a proper fraction, mixed number, or integer. Please if you could(or not) type the answer step by step.

Answer:

[tex]x=24[/tex]

Step-by-step explanation:

[tex]\frac{x}{3}-15=-7[/tex]

Add 15 to both sides:

[tex]\frac{x}{3}-15+15=-7+15[/tex]

[tex]\frac{x}{3} =8[/tex]

Multiply both sides by 3:

[tex]\frac{3x}{3}=8\times3[/tex]

[tex]x=24[/tex]

Answer:

the answer is three hundred thousand

Answer:

Community Parks

Step-by-step explanation:

Answer:

D

Step-by-step explanation: Because they are trying to reserve the parks and the animal life and plant life in it. Hope this helps :)

Answer:

Step-by-step explanation:

Given the quadratic function  

As per given function:

Then

This time is approximately mid 2012.

Considering this in the function, to get oil import rate for the same time:

Rounded to two significant figures, the greatest oil import rate was:

Answer:   [tex]A^{-1}=\left[\begin{array}{cc}\frac{3}{2}&-\frac{1}{2}\\-2&1\end{array}\right][/tex]

Step-by-step explanation:

                  [tex]\left[\begin{array}{cc}2&1\\4&3\end{array}\right]=\left[\begin{array}{cc}1&0\\0&1\end{array}\right][/tex]

[tex]\dfrac{1}{2}Row\ 1\rightarrow\left[\begin{array}{cc}1&\frac{1}{2}\\4&3\end{array}\right]=\left[\begin{array}{cc}\frac{1}{2}&0\\0&1\end{array}\right][/tex]

[tex]Row\ 2 -4 \ Row\ 1\rightarrow \left[\begin{array}{cc}1&\frac{1}{2}\\0&1\end{array}\right]=\left[\begin{array}{cc}\frac{1}{2}&0\\-2&1\end{array}\right][/tex]

[tex]Row\ 1-\dfrac{1}{2}\ Row\ 2 \rightarrow \left[\begin{array}{cc}1&0\\0&1\end{array}\right]=\left[\begin{array}{cc}\frac{3}{2}&-\frac{1}{2}\\-2&1\end{array}\right][/tex]

Answer: Hence, the proportion of head lands obtained from the total number of tosses is 0.583

Step-by-step explanation:

Given the following :

Total number of coin tosses = 60

Total number of times coin landed on head = 35

Proportion of head landings obtained :

Total number of head landings obtained / total number of coin tosses

Proportion of head landing obtained :

= 35 / 60 = 7 / 12 = 0.5833

Answer:

Step-by-step explanation:

(15 -5)/(8 - 3)= 10/5 = 2

y - 5 = 2(x - 3)

y - 5 = 2x - 6

y = 2x - 1

Answer:

$1500

Step-by-step explanation:

Total interest:

Additional money is $1500

Answer:

The length of a rectangle is 5 centimetres longer than twice its width. If the perimeter of the rectangle is 88 centimetres, what is the width?

width=x

length=2x+5

perimeter=88=2L+2W

so half perimeter=44=L+W

x+2x+5=44

3x=39

x=13 cm width ANSWER

2x+5=31 cm length

The width of the rectangle is Width, W = 13 centimeters.

Given the following data:

Translating the word problem into an algebraic equation, we have;

[tex]L = 2W + 5[/tex]

To find the width of the rectangle;

Mathematically, the perimeter of a rectangle is given by the formula;

[tex]P = 2(L + W)[/tex]

Substituting the values into the formula, we have;

[tex]88 = 2(2W + 5 + W)\\\\88 = 2(3W + 5)\\\\88 = 6W + 10\\\\6W = 88 - 10\\6W = 78\\\\W = \frac{78}{6}[/tex]

Width, W = 13 centimeters.

Therefore, the width of the rectangle is Width, W = 13 centimeters.

Find more information: brainly.com/question/897975

Answer:

149.5 pages excluding the back parts

150.8 pages including the back parts

Step-by-step explanation:

Total pages in Math 123 book = 230 pages

You aim to complete 65% of all the pages, how many should you finish

65 % of 230 pages

= 65 / 100 × 230 pages

= 0.65 × 230 pages

= 149.5 pages excluding the bark parts of the book

If you include the back parts, that is, the beginning and ending page

You have a total of 230 pages + 2 pages

= 232 pages

65 % of 232 pages

= 65 / 100 × 232 pages

= 0.65 × 232 pages

= 150.8 pages including the back parts

Answer:

[See Below]

Step-by-step explanation:

✦ [tex]Formula:[/tex] π[tex]r^{2}[/tex]

✦ Round:

So your answer would be [tex]C[/tex], [tex]113.1 ~cm^{2}[/tex].

~Hope this helps Mate. If you need anything feel free to message me.

Answer:

yes ion think u need my help

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

Tangents drawn from external point to a circle are congruent.

Therefore,

SG = SD

8x - 9 = 5x + 18

8x - 5x = 9 + 18

3x = 27

[tex]x = \frac{27}{3} \\ x = 9 \\ SG = 8x - 9 \\ SG =8 \times 9 - 9\\ SG =72 - 9 \\ \huge \red{ \boxed{SG =63}}[/tex]

Answer: 63

Tangents drawn from external point to a circle are congruent.

SG = SD

8x - 9 = 5x + 18

8x - 5x = 9 + 18

3x = 27

Step-by-step explanation: 63

50 seconds per minute

The rate of entering customers per minute, if 4 customers entered a store over the course of 6 minutes, is 2 / 3.

It is the basic arithmetic operation, in which you are separating the number into some parts. One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components.

Given:

4 customers entered a store over the course of 6 minutes,

Calculate the rate of entering customers per minute as shown below,

The rate of entering customers per minute = total number of customer / total time

The rate of entering customers per minute = 4 / 6

The rate of entering customers per minute = 2 / 3

Thus, the rate of entering is 2 / 3.

To know more about division:

https://brainly.com/question/27566440

#SPJ5

Answer:

I hope it will help you :)

1. We have all the information we need here to set up our 'least-squares regression equation.'

Given: r = 0.68, x = 260, y = 70, s₁ = 33, s₂ = 6, remember that the general equation for our least-squares line is in the form y = a + bx. The slope of the regression equation is the linear correlation coefficient multiplied by the standard deviation for x:

b = r(s₂ / s₁) = 0.68(6 / 33) = 0.12363...

Remember that the constant of the regression equation is the mean of y decreased by the product of the slope and the mean of x:

a = y - bx = 70 -  0.12363(260) = 37.8562

The equation of the least-squares regression line would then be y = 37.8562 + 0.12363x. We know that the Jane's previous score was 279, so if we plug that into our equation as 'x' we will receive Jane's final score. The set up will be y = 37.8562 + 0.12363(279) = 72.34897. Your solution for the first part is absolutely correct!

2. Actually the values of 'y' could have been much larger. r^2 = 0.4624, thus the proportion of y explained by x is only about 46%. It would negatively affect her final course grade.

Answer:

(2,-8)  (0,-2)

Step-by-step explanation:

Answer:

First arrange the data in an order

3, 3, 3, 7, 7, 10, 10, 12, 12, 13, 14, 17, 17, 18, 21

a.) Q1 = (N + 1)/4th item = (15 + 1)/4 = 4th item = 7

Q2 = 2(16)/4 = 16/2 = 8th item = 12

Q3 = 3(16)/4 = 3(4) = 12th item = 17

IQR = (Q3 - Q1)/2 = (17 - 7)/2 = 10/2 = 5

b.) 82nd percentile = 82(16)/100 = 13th item = 17

c.) 12 is the 8th item which is in the middle of the data set, so the percentile rank is 50%

Step-by-step explanation:

If he has 484 plants and there are as many rows as there are plants in each row, his field is a square.

The area of a square = (side)^2

In this problem,

Area = 484

side = # of rows

Let's plug our values into the formula above

484 plants = (side)^2

Take the sqrt of both sides.

22 rows = side.

Answer:

This is the answer..........

Answer:

4

Step-by-step explanation:

Since we have 2 points, we can find the slope using

m = ( y2-y1)/(x2-x1)

    = ( 7-3)/(9-8)

    = 4/1

   = 4

(8, 3) and (9, 7)

The slope of the line passing through the points (8, 3) and (9, 7).

y2 - y1 / x2 - x1

7 - 3 / 9 - 8

= 4 / 1

= 4

4

Answer:

bc/ef =48/32

divide by 16 you will get

3/2

Step-by-step explanation:

Answer:

The second one is d. 13

Step-by-step explanation:

Add what you know first. 110+57= 167. Then, subtract what the angle is all together with the answer from what you know. 180-167= 13. X= 13. I'm bad at explaining so I hope that was clear.

Answer:

1) ∫ x² e^(x) dx

4) ∫ x cos(x) dx

Step-by-step explanation:

To solve this problem, eliminate the choices that can be solved by substitution.

In the second problem, we can say u = x², and du = 2x dx.

∫ x cos(x²) dx = ∫ ½ cos(u) du

In the third problem, we can say u = x², and du = 2x dx.

∫ x e^(x²) dx = ∫ ½ e^(u) du

Answer:

$4.95

Step-by-step explanation:

If jelly beans cost $2.75 per pound then multiplying the cost per pound by the amount of jelly beans purchased will give the answer of $4.95 per 1.8 pounds of jelly beans.

Answer:

n = 14

Step-by-step explanation:

n+4/-2 = -9

n+4 = 18

n = 14

Answer:

n=14

Step-by-step explanation:

n+4/-2 = -9

n+4 = 18

Hope it helps :3

Answer: 3630

Step-by-step explanation:

Given that:

Volume of container = 98,000 cubic volume

Volume of cabinet = 27 cubic volume

The number of cabinets which the container will. Hold equals:

Volume of container / volume of cabinet

= 98000 cubic volume / 27 cubic volume

= 3629.6296

The container will hold approximately 3630 27 cubic volume of cabinet.

Answer:

(-2,-1)

Step-by-step explanation:

Right now, P is at (3,-4).  After the translation, it would be at

(-2,-1)

Answer:

[tex]k=4[/tex]

Step-by-step explanation:

So we have the equation:

[tex]\sqrt{2k^2+17}-x=0[/tex]

Where:

[tex]k>0\text{ and } x=7[/tex]

And we want to find k.

Firstly, let's substitute 7 for x. So:

[tex]\sqrt{2k^2+17}-7=0[/tex]

Now, we can solve for k. Add 7 to both sides:

[tex]\sqrt{2k^2+17}=7[/tex]

Square both sides:

[tex]2k^2+17=49[/tex]

Subtract 17 from both sides:

[tex]2k^2=32[/tex]

Divide both sides by 2:

[tex]k^2=16[/tex]

Take the square root of both sides:

[tex]k=\pm\sqrt{16}[/tex]

Evaluate:

[tex]k=\pm 4[/tex]

Remember that we are told k>0. In other words, k must be positive. So, we can ignore the negative answer, giving us:

[tex]k=4[/tex]

So, the value of k is 4.

And we're done!