a watch is sold for $130 at a loss of $30. what was the original cost of the watch​

Answer:

Part A

The rational equation that can be used to determine how long it would take Lara to clean the tank alone is; 6/9 + 6/x = 1

Part B

It would take Lara 18 hours to clean the tank if she works by herself

Step-by-step explanation:

Part A

The time it takes Kevin to clean an aquarium tank alone = 9 hours

The time it takes Kevin and Lara to clean the tank together = 6 hours

Let '1/x' represent Lara's cleaning rate, we have;

The time it would take Lara to clean 1 tank alone = 1/(1/x) = x

Kevin's cleaning rate, y = 1/9 tank per hour

The number of tanks, z =  tank

The total time it takes both of them to clean the tank, t = 6 hours

Therefore, we get;

t × y + t × 1/x = z

When t = 6, y = 1/9, and z = 1, we get;

6 × (1/9) + 6·(1/x) = 1

Therefore, the rational equation that can be used to determine how long it would take Lara to clean the tank if she work by herself, '1/x', is given as follows;

6/9 + 6·(1/x) = 1

6/9 + 6/x = 1

Part B

Solving the rational equation gives;

1/x = (1 - 6/9)/6 = 1/18

∴ 1/x = 1/18)

∴ x = 18

The time it would take Lara to clean the tank if she worked by herself, x = 18 hours

Answer:

1)  cos(29) x 13 = 11.4

2) 18/sin(63) = 20.2

3) 14/tan(71) = 4.8

4) tan(18) x 11 = 3.6

5) 21/cos(35) = 25.6

6) tan(43) x 20 = 18.7

7) 9/sin(33) = 16.5

8) 17/tan(67) = 7.2

9) cos(38) x 19 = 14.97 or 15 (rounded to nearest 10th)

10) sin(59) x 26 = 22.3

Update: now all rounded to nearest 10th

Good Luck! x

Answer:

x = 27

Step-by-step explanation:

A circle adds up to 360 degrees. So we make this equation:

2x+21 + 5x+6 + 54 + 90 = 360

Combine like terms:

7x + 171 = 360

Subtract both sides by 171

7x = 189

Divide both sides by 7

x = 27

Answer:

Step-by-step explanation:

this has a bunch of "implied"  things that you're supposed to know.   one is that all the way around a circle is 360°   two is that if you know the angle on the interior.. that is also the arc length.. so knowing those things  we can say

360 = 54 + 2x + 21 + 5x + 6 + 90

put like terms together

360 = 171 + 7x

189 = 7x

27 = x

Answer:

40 cm²

Step-by-step explanation:

Given the ratio of radii = a : b , then

ratio of areas = a² : b²

Here ratio of radii = 1 : 2

ratio of areas = 1² : 2² = 1 : 4

Thus

surface area of large sphere = 4 × 10 = 40 cm²

Answer:

x=8, y=4[tex]\sqrt{3}[/tex]

Look up the 30-60-90 triangle rule

Answer:

x = 8, y = 4√3

Step-by-step explanation:

Use the 30-60-90 triangle.

Plug 4 in for x.

x = 2x = 2(4) = 8

y = x√3 = 4√3

Answer:

x = 16

Step-by-step explanation:

9/12 = 12/x

9x = 144

x = 16

Answer:

tan45=X/12

X= 1×12

X=12

Answer:

2

Step-by-step explanation:

4x=2+3x

4x-3x=2

x=2

Answer:

This is your answer ☺️☺️

Value of x is 19 cm.

The area of a trapezium is defined as the number of unit squares that can fit into it . The area of a trapezium can be calculated using the lengths of two of its parallel sides and the distance (height) between them. The formula to calculate the area (A) of a trapezium using base and height is given as,

A = ½ (a + b) h where,

a and b = bases of trapezium, and,

h = height (the perpendicular distance between a and b)

Given

Area of trapezium = 48 [tex]cm^{2}[/tex]

Area of trapezium = [tex]\frac{(AB+DC).h}{2}[/tex]

48 =  [tex]\frac{(AB+DC).h}{2}[/tex]

⇒ 48 = [tex]\frac{(5+x).(4)}{2}[/tex]

⇒ 96 = (5+x).4

⇒ 5 + x = [tex]\frac{96}{4}[/tex]

⇒ 5 + x = 24

⇒ x = 24 - 5

⇒ x = 19 cm

Hence, Value of x is 19 cm.

Find out more information about trapezium here

https://brainly.com/question/4758162

#SPJ3

Answer:

what the other dude said

Step-by-step explanation:

Answer:

9.1

Step-by-step explanation:

Step-by-step explanation:

you can open the file I gave you now. the answer is there

Answer:

26.75

Step-by-step explanation:

You have to break up the whole shape into smaller ones.

To find the area of a triangle, you multiply the base x height and divide by 2.

The first smaller shape is the right triangle in the bottom left. To find the area you multiply 2(2), which is 4. Then divide by 2, which is 2.

The next shape is the square in the bottom middle. The area is simply 2(2)=4.

The next shape is the triangle in the bottom right. To find the area you multiply 2(5)/2=5.

The last shape is the triangle on top. The base is 3.5. The height though, you have to add the height for all 3 shapes on the bottom. 2+2+5=9. 3.5(9)/2=15.75

Finally, add up all of the areas. 2+4+5+15.75=26.75

Answer: 0

Step-by-step explanation: 18a + 3 = 3

                                                     -3    -3

                                                   --------------

                                              18a   =    0  you can't divide 18 and zero it would be 0

Answer:

So to factorize an expression, you put it into a form where if you expanded the brackets, you'd get the given expression.. if that makes sense. Therefore, you need to multiply the 3 by something to get 18a, and so the first term is 6a. You don't need to multiply 3 by anything to get 3, so the second term is 1. The final result looks like this :

3(6a + 1)

Step-by-step explanation:

*Credit to baabaagreysheep*

have a nice weekend

Answer:

y = -3x -10

Step-by-step explanation:

Answer:

The correct answer is:

Error made: The student multiplied only corresponding terms in each bracket with each other

Correction: Each term in one bracket is to be multiplied with every term in the next bracket

Step-by-step explanation:

The student paired the terms in the brackets into like terms and multiplied the like terms like this:

(2x + 2) × (4x - 1)  

collecting like terms: (2x, 4x) (2, -1)

(2x × 4x) (2 × (-1)) = 8x² - 2.

The above is the wrong way of expanding the bracket. The correct way of doing it is as follows:

(2x + 2) (4x - 1)

Each term in one bracket multiplies each term in the second bracket.

= 2x (4x - 1) + 2(4x -1)

= 8x² - 2x + 8x - 2

= 8x² + 6x - 2

Answer:

it is - 72 are 0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

jordan took 72 dollars and gave 72 dollars back

so -72+72=0

Answer:

(6 , 9)

Step-by-step explanation:

The resulting equivalent expression is (6x^3 - 6x^2 +36)•(5y^2-9)

Given the functions:

d(x) = 2x^3 - 2x^2 +12 c(y) = 5y^2 - 9

We are to find the expression 3d(x) • c(y)

3d(x) = 3(2x^3 - 2x^2 +12)

3d(x) = 6x^3 - 6x^2 +36

c(y) = 5y^2 - 9

Substitute into the expression:

3d(x) • c(y) = 6x^3 - 6x^2 +36(5y^2-9)

Hence the resulting equivalent expression is (6x^3 - 6x^2 +36)•(5y^2-9)

Learn more on polynomials here: com

Answer:

or

Step-by-step explanation:

Area of Circle = π × radius²

Area of Circle = 12π cm

π × radius² = 12π

radius² = 12

radius = √12

radius = 3.46

Circumference = 2 × π × radius

Circumference = 2 × π × 3.46

Answer:

The answer is B

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

3

Answer:

Rotations, reflections, and translations

Step-by-step explanation:

The question requires further information, as the figures representing courts A and B are not given.

However, the general solution is as follows.

There are several types of transformation but rotation, reflection and shifting (i.e. translation) do not change the congruence of objects.

So, when an object is rotates, reflected or translated, the resulting object (i.e. the image) will be congruent to the initial object.

Answer:

166

Step-by-step explanation:

Answer:

I am not the best at math but I know that u can't change the bottom half of the fraction so it would just be four and then multiply the five and the three which would be fifteen. The answer would be 15/4ths. So you want to color in 15 boxes. Hopefully I could be of some kind of help to you!

Answer:

color in 15 boxes

15/32

Step-by-step explanation:

first off, the points are split so I'm only getting 12, just so that you know.

so 1/8x1/4 is 1/32, so each box is 1/32.

5/8x3/4=15/32 (multiply the top of the first with the top of the second and the bottom of the first with the bottom of the second)

so color in 15 boxes and the answer to the multiplication is 15/32

Hope I could help!