solve the following monomial
(2x³).(5x³)​

Answer:

The capacity of the mug = [tex]1\frac{1}{3}[/tex] cups

Step-by-step explanation:

Given - A mug is 1/8 full. The mug contains 1/6 of a cup of water.

To find - Find the capacity of the mug. Write the answer as a fraction or mixed number

Proof -

Let the capacity of water = x

Given that,

A mug is [tex]\frac{1}{8}[/tex] full of water

⇒Total cups of water in the mug = [tex]\frac{1}{8} x[/tex]

Now,

Given that, The mug contains [tex]\frac{1}{6}[/tex] of a cup of water.

∴ we get

[tex]\frac{1}{8} x[/tex] =  [tex]\frac{1}{6}[/tex]

⇒x = [tex]\frac{1}{6}[/tex] × 8

     = [tex]\frac{8}{6}[/tex]

     = [tex]\frac{4}{3}[/tex] = [tex]1\frac{1}{3}[/tex]

⇒x = [tex]1\frac{1}{3}[/tex]

∴ we get

The capacity of the mug = [tex]1\frac{1}{3}[/tex] cups

Answer:

c

Step-by-step explanation:

Answer:

9x² - 6x - 63

Step-by-step explanation:

Use the FOIL method. FOIL stands for First, Outside, Inside, Last.

Multiply following the FOIL:

3x * 3x = 9x²

3x * -9 = -27x

7 * 3x = 21x

7 * -9 = -63

9x² - 27x + 21x - 63

Combine like terms.

9x² (-27x + 21x) - 63

9x² - 6x - 63

9x² - 6x - 63 is your answer.

~

Answer:

6x² – 10y² + 2xy + 10

Step-by-step explanation:

We'll begin calculating the sum of

x² + 3y² – 6xy and 2x² – y² + 8xy + 8

This can be obtained as follow:

... x² + 3y² – 6xy

+ 2x² – y² + 8xy + 8

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

3x² – 2y² + 2xy + 8

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

Next, we shall determine the sum of:

–3x² + 4y² + 3 and 4y² – 5

This can be obtained as follow:

–3x² + 4y² + 3

+ 4y² – 5

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

–3x² + 8y² – 2

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

Finally, we shall subtract the sum of:

–3x² + 4y² + 3 and 4y² – 5

from the sum of:

x² + 3y² – 6xy and 2x² – y² + 8xy + 8

This can be obtained as follow:

.. 3x² – 2y² + 2xy + 8

– (–3x² + 8y² – 2)

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

6x² – 10y² + 2xy + 10

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

Answer:

70

Step-by-step explanation:

The equation are x = y + 50  and 5x + 2y = 950

Firstly, let x represent the number of adult tickets sold and let y represent the number of student tickets sold.

Since there was 50 more adult tickets sold compared to student tickets, hence this statement can be represented by the equation:

x = y + 50 (1)

Also, they collected a total of $950. Each adult ticket was $5 while female ticket was $2, hence:

5x + 2y = 950     (2)

5(y + 50) + 2y = 950

y = 100

x = 100 + 50

x = 150

Solving equations 1 and 2 simultaneously gives y = 100 and x = 150

Therefore they was 150 adult tickets and 100 student tickets

Find more at: https://brainly.com/question/15165519

Answer:

(u+3)(u-3)

Step-by-step explanation:

u²-9 = u²-3²

a²-b²=(a+b)(a-b)

u²-3²=(u+3)(u-3)

Answer:

u²-9

=u²-3²

=(u+3)(u-3)

Step-by-step explanation:

use formula a²-b²=(a+b)(a-b)

Answer:

8

Step-by-step explanation:

Since they intersect you can just solve for x and y

since y=-4x and y=x^2+2x+8, you can set -4x=x^2+2x+8

add 4x to both sides to make 0=x^2+6x+8

and factor out (x+4)(x+2)

so the solutions for x are -4 and -2

then insert the two values for x into the first equation

so y=-4(-4) and y=-4(-2)

so y=16 and y=8 when x=-4 and x=-2

so the smallest value for y in both equations is 8

Please give brainliest :)

Answer:

15+d

Step-by-step explanation:

Answer:

Step-by-step explanation:

15+d=t

Answer:

y=2x+4

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=2x-4

Answer:

5

youre welcome

3x^2 6x^2 + 4x -8

2x. 9x^3 + 6x^2 -12x

x^2. 18x^2 + 12x - 24

6x^2. 3x^2 + 2x - 4

Answer:

3.6 hours or 3 hours and 36 minutes.

Step-by-step explanation:

If the first pipe can fill the pool in 9 hours that means that in 1 hour it fills [tex]\frac{1}{9}[/tex] of the pool, we use the same logic for the second pipe and conclude that in 1 hour it feels up [tex]\frac{1}{6}[/tex] of the pool. If both were to fill the pool together that means that in 1 hour they would fill...

[tex]\frac{1}{9} +\frac{1}{6} = \frac{5}{18}[/tex] of the pool in 1 hour.

Now to find how many hours it will take divide the pool by the speed with which it is getting filled.

[tex]1 / \frac{5}{18} = 3.6[/tex] hours

3.6 hours in other words is 3 hours and 36 minutes.

Answer:

its i, ii, and iii

Step-by-step explanation:

they already had their maximum and minimum so that couldnt change, but getting those 3 20s would make q1, q2, and q3 change. i just took it and got a 100.

Answer:

Hi, have you seen empress

Step-by-step explanation:

Answer:

Option A

The Area of the given figure is 5x²/2 + 3x/2 - 4

Step-by-step explanation:

For a given Trapezoid

side a = x + 7

side b = 4x + 1

height (h) = x - 1

Now, Area of Trapezoid

A = ½ (a + b) × h

A = ½ (x + 7 + 4x + 1) × (x - 1)

A = ½ (5x + 8) × (x - 1)

A = ½ (5x² - 5x + 8x - 8)

A = ½ (5x² + 3x - 8)

A = 5x²/2 + 3x/2 - 8/2

A = 5x²/2 + 3x/2 - 4

Thus, The Area of the given figure is

5x²/2 + 3x/2 - 4

-TheUnknownScientist

Answer: the answer is a: 5/2x squared + 3/2x -4

Answer:

i think its 4

Step-by-step explanation:

there are 12 face cards in a deck and the rest are no faced. Since there is 3 face cards in each 5 card thing, 12/3 = 4. then you could just fit in any 2 no faced cards in since there are many. hope that helps

Answer:

(7,[tex]\frac{7}{2}[/tex])

Step-by-step explanation:

Answer:

(7, 3.5)

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

(I go to a french school, so excuse my terminology, which might not always be correct)

The angle we can see, in GHI, is equal to 121°. JKL has an identical angle, meaning JKL is an enlargement (probably the wrong term, I apologise) of GHI. This means we can use the length of it's sides to find KL.

GH and GI are both multiplied by two (GH = 4 becomes JK = 8, GI = 5 becomes JL = 10) meaning you must multiply HI by 2 to find KL.

2*7 = 14

KL = 14  

Answer:

0,00003

Step-by-step explanation:

3×10-5

3/100000

=0,00003

Answer:

74 is the correct answer to the question

Answer: 74

Step-by-step explanation:

Answer:

x = 22

Step-by-step explanation:

19+23=2X-2

42 = 2x - 2

-2x = -2 - 42

-2x = -44

x = 22

hope this helps

Answer:

The surface area of a rectangular prism with length of

15, a width of 9 and a height of 13 is:

894.0000 square units.

not sure

Step-by-step explanation:

To find the surface area, use this rectangular prism surface area

formula:

Surface Area =

[(Length x Width) + (Length x Height) + (Width x Height)] x 2

Example: The surface area of a rectangular prism with length of

3 inches, width of 4 inches, and height of 5 inches:

Surface Area = [(3 x 4) + (3 x 5) + (4 x 5)] x 2

Calculated out this gives a surface area of 94 Square Inches.

(not the answer example)

wait plsss- i messed up.

Answer:

10=480 cupcakes 864=18 boxes 24=1152 cupcakes 1536=32 boxes

Step-by-step explanation:

Step-by-step explanation:

here's your solution

=> total money received by them = $1600

=> the given ratio are 7:5:4

=> let the ratio be X ,now

=> Maria = 7X

=> Carolina = 5X

=> Pedro = 4X

=> we know whole money = $1600

=> so, adding all

=>. 7x + 5x + 4x = $1600

=> 16x = $1600

=> x= $1600/16

=>. x = $100

now Maria = 7*100 = $700

Carolina = 5*100 = $500

Pedro = 4*100 = $400

hope it helps

Answer:

Step-by-step explanation:

Answer:

. X^2+6x-3=0

x²+6x+9-9-3=0

(x+3)²=12

x+3=√12

x=√12-3=0.46410161513

Answer:

Step-by-step explanation:

36n³ = 2 * 2 * 3 * 3 * n * n *n

6n²   = 2*3 * n * n

GCF = 2 * 3 * n * n = 6n²

-36n³ = 6n² * (-6n)

-36n³ + 6n² = 6n²*(-6n)   + 6n²

                    = 6n² ( -6n + 1)