25% of a number is 8.
What is the original number?

Answer:

19 units.

Step-by-step explanation:

Consider the below figure attached with this question.

From the below figure it is given that MN=PQ.

It is given that MP = 6x – 5, QR = 3x + 1, and RN = 6.

Since non parallel sides are equal, therefore it is an isosceles trapezoid.

The diagonals of an isosceles trapezoid are equal.

Substitute the given values.

The value of x is 4.

Hence, the measure of QN is 19 units.

Answer:

The coordinates of the cross on the scale drawing which locates where Kim can plant the tree is (3.45 cm, 0.58 cm)

Step-by-step explanation:

The question relates to coordinates geometry and the solution can be obtained graphically by construction as shown in the attached drawing

The given parameters of the scale drawing are;

The scale of the drawing is 1 cm = 2 m

The dimensions of the rectangle representing the garden in the scale drawing is given as follows;

The width of the rectangle = 2.5 cm

The length of the rectangle = 4 cm

The required location where the tree is to be planted = 7 m from A and 4 m from point C

Therefore, the location where Kim can plant the tree on the scale drawing is 3.5 cm from point A and 2 cm from point C

Taking the coordinate of point A as the origin, we have;

The coordinates of point A = (0, 0)

∴ The coordinates of point C = (4, 2.5)

The general equation of a circle is (x - h)² + (y - k)² = r²

Where, (h, k) is the coordinate of the center of the circle

The location of the point is on a radius 3.5 cm from point A and a radius 2 cm from point C

Therefore, for point A, we have;

(x - 0)² + (y - 0)² = 3.5²

x² + y² = 12.25...(1)

For point C, we have;

(x - 4)² + (y - 2.5)² = 2² = 4

Which gives;

x² - 8·x + 16 + y² - 5·y + 6.25 = 4

x² + y² - 8·x - 5·y + 22.25 = 4

We have x² + y² = 12.25 from equation (1), therefore, we have;

12.25 - 8·x - 5·y + 22.25 = 4

- 8·x - 5·y = 4 - 22.25 - 12.25 = -30.5

∴ 8·x + 5·y = 30.5

y = (30.5 - 8·x)/5

Therefore, we have;

x² + y² = 12.25 = x² + ((30.5 - 8·x)/5)² = 12.25

Using a graphing calculator we get;

356·x² - 1952·x + 2496 = 0

Which gives;

x = (1952 ± √((-1952)² - 4×356×2496))/(2 × 356)

x = 3.452197227 or 2.03094884081

To two decimal places, we have the coordinates of the points where the tree can be planted given as follows;

Therefore, y = (30.5 - 8×3.452197227)/5 = 0.5764844368

or y = (30.5 - 8×2.03094884081)/5 = 2.8504818547

y = 0.5764844368 or 2.8504818547

To two decimal places, we have the coordinates of the places where Kim can plant the tree are given as follows;

(3.45, 0.58) or (2.03, 2.85)

We note that the point (2.03, 2.85) is at the outside the drawing the area as 2.85 cm is more than 2.5 cm which is the width (height) of the rectangle as shown in the attached drawing created with Microsoft Word.

Therefore, the coordinates of the cross where Kim can plant the tree is (3.45, 0.58)

Answer:

Step-by-step explanation:

Make sure to use protractor and cross tools to get full marks

Thank you

Answer:

[tex]r=9.0\:\mathrm{cm}[/tex]

Step-by-step explanation:

The volume of a sphere is given as [tex]\frac{4}{3}r^3\pi[/tex]. Therefore we have the following equation:

[tex]\frac{4}{3}r^3\pi=3026,\\r^3=\frac{3}{4}\cdot\frac{3026}{\pi},\\r^3=722.40428,\\r=\sqrt[3]{722.40428},\\r\approx \fbox{$9.0\:\mathrm{cm}$}[/tex].

Rounding this to the nearest tenth of a centimeter, the radius of the sphere is approximately 14.0 cm.

Volume refers to the amount of space occupied by an object or substance. In mathematics, it is usually measured in cubic units (e.g. cubic meters, cubic centimeters).

The volume of an object can be calculated using its dimensions and specific formulas that depend on the shape of the object.

For example, the volume of a cube is calculated by multiplying its length, width, and height, while the volume of a sphere is calculated using the formula [tex](4/3)\pi r^3[/tex], where r is the radius of the sphere.

The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere and π (pi) is a mathematical constant approximately equal to 3.14159.

We can rearrange this formula to solve for r:

r = [tex](3V/4\pi)^{(1/3)[/tex]

Substituting the given volume V = 3026 [tex]cm^3[/tex], we get:

r = [tex](3(3026)/(4\pi))^{(1/3)[/tex] ≈ 14.0 cm

Thus, the radius of the sphere is approximately 14.0 cm, rounded to the nearest tenth of a centimetre.

For more details regarding volume, visit:

https://brainly.com/question/1578538

#SPJ3

Answer:

[tex]\mathrm{D.\:}\sqrt{126}[/tex]

Step-by-step explanation:

All three triangles in the figure are similar. Therefore, we can set up the following proportion:

[tex]\frac{18}{m}=\frac{m}{7}[/tex]

Cross-multiply to solve:

[tex]m^2=18\cdot 7 = 126, \\\\m=\fbox{$\sqrt{126}$}[/tex].

Answer:

x = 24

Step-by-step explanation:

3x - 2y = 18

y = 27

3x - 2(27) = 18

3x - 54 = 18

3x = 72

x = 24

Answer:

x=24

Step-by-step explanation:

3x-2y=18

Put the y value where it belongs...

3x-2(27)=18

3x-54=18        Separate the x

    +54  +54

3x=72         Divide

x=24

Step-by-step explanation:

1. Right

2. Right

3. Right

4. Right

5. Right

6. Right

7. Its not properly visible sorry for this.

8. Its wrong

[tex] (\frac{1}{3} ) {}^{2} = \frac{1}{9} [/tex]

9. Right

10. Its wrong

[tex]0.5 {}^{3} = 0.125[/tex]

11. Right

12. Its wrong.... Bcz square of minus is plus

[tex] - 9 {}^{2} = 81[/tex]

13. Right

14. According to the BODMAS rule..

[tex]15 - 7 \times 2 + {2}^{3} [/tex]

[tex]15 - 14 + 8[/tex]

[tex]1 + 8 = 9[/tex]

15.

[tex](11 - 8) {}^{2} - 2 \times 6[/tex]

[tex]3 {}^{2} - 12[/tex]

[tex]9 - 12 = - 3[/tex]

16.

[tex]12 + \frac{ {9}^{2} }{3} [/tex]

[tex]12 + \frac{81}{3} [/tex]

[tex]12 + 27 = 39[/tex]

... ✌️❤️

Answer:

I can help

Step-by-step explanation:

Answer:

Step-by-step explanation:

the first one- 40

the second one- 2.5

This should be correct if I did my math correctly

Answer:

5n=s

Step-by-step explanation:

5*n notebooks

5n=s

Answer: The independent variable = x which represent the the number of hours taken to complete the job.

Step-by-step explanation:

In the given function: y = 50 + 65x, x = Number of hours, y = Total cost of the job.

Here, total  cost of the job depends on the number of hours.

So the independent variable = x which represent the the number of hours taken to complete the job.

Answer:

the answer would be 5 hours

Step-by-step explanation:

we know he has 3000 miles to travel so if he travels 600 mph than you would have to divide.

3000/600 = 5

another way you could solve it is to take two zeros from each point so that you have 30 and 6, then you divide then.

30/6 = 5

and ta da the question is sloved!!!

Answer:

2<x<7

Step-by-step explanation:

Answer:

2<x<7

Step-by-step explanation:

Answer:

My pretty sure its 5

(don’t count on it too much, this is my first answer)

Step-by-step explanation:

Answer:

$191.69

Step-by-step explanation:

0.065 x 179.99 = 11.70

179.99 +11.70

Answer:

[tex]x = - 1 \\ y = 1[/tex]

Step-by-step explanation:

[tex]x - y = - 2 [/tex]

[tex]x = y - 2[/tex]

[tex]7x + 2y = - 5[/tex]

[tex]7(y - 2) + 2y = - 5 \\ [/tex]

[tex]7y - 14 + 2y = - 5[/tex]

[tex]9y = 14 - 5[/tex]

[tex]9y = 9[/tex]

[tex]y = \frac{9}{9} = 1[/tex]

[tex]x = y - 2 = 1 - 2 = - 1[/tex]

Answer- This is a fairly simple calculation, I got a -1/5,

Step-by-step explanation:

This is the way solved it, just substitute the x value for 1, and just solve.  Hope it helps.

Answer:

C

Step-by-step explanation:

This is basically:

7 x 3.5 x 104 = 24.5 x 104

Answer:

-3

Step-by-step explanation:

divide both side by 6 to find t

Answer:

-20w+15s-5

Step-by-step explanation:

-5*4w= -20w

-5*-3s= 15s

-5*1= -5

Answer:

true

Step-by-step explanation:

Answer:

TRUE

Step-by-step explanation:

THE FIGURE HAS PARALLEL LINES.

Answer:

2

Step-by-step explanation:

Animal Stickers = 15

Flower stickers = 28

15/3= 5 in each row

28/4 = 7 in each row

7-5= 2

Answer:

$110

Step-by-step explanation:

1000-75-75-350-130-130-130=$110 in change

Answer:

4x -12

Step-by-step explanation:

is that what u needed lol

Step-by-step explanation:

-24 ==== ( 2×-6=-12___-12×2= -24)

Answer:

x=6

Step-by-step explanation:

because of vertical angles, 9x-4=12x-22

3x=18

x=6

plz give thx and brainliest!

Answer:

c = 69 and h = 51

Step-by-step explanation:

You will need two different equations here

use variable c as coffee and variable h as hot chocolate

c + h = 120

1.80c + 3.15h = 284.40

By moving variables, you can alter the first equation

h = 120 - c

Now insert this into the second equation

1.80c + 3.15(120 - c) = 284.40

Multiply

1.80c + 378 - 3.15c = 284.40

Subtract the c

-1.35c + 378 = 284.40

Subtract 378 from both sides

-1.35c = -93.6

Divide both sides by -1.35

c = 69

Then plug into the first equation

69 + h = 120

Subtract 69

h = 51

Answer:

I would say (B) 14,55

Step-by-step explanation:

Answer:

2 weeks and 4 days

Step-by-step explanation:

she is 63 pounds and she needs to get to 47 so  63-47=16 then if she loses 6 pounds every week then 6+6=12 which make 2 weeks cause we used two 6's so now we have a remainder which makes days 12-16=4 so their ya go

2 weeks and 4 days

Answer:

8000000000000000000000000000000000

Answer:

5X5=

-X4=

-+25=

-divide by 5=

Step-by-step explanation:

hope thats ok for you please mark me as brainliest

Answer:

2

Step-by-step explanation:

when you combine all the terms (7 - 14 + 8+ 10 - 4+ 5) and divide by the number of terms (6) you get 2

Answer:

43.83...

Step-by-step explanation:

you add up all the numbers then divide by the numbers that are listed... :)