Which is a better buy?

Answer:

[tex]450000 \leqslant 15000 + 4t[/tex]

Part A: The approximate volume of the frustum is [tex]1769cm^3[/tex].

Part B: How the answer was determined was to view the flower pot as a frustum of a cone, and apply the formula in calculating the volume of the flower-pot.

The flower pot has the shape of a conical frustum (See the attached image). The volume of the frustum is given by

[tex]F = \frac{\pi y}{3}(R^2+Rr+r^2)[/tex]

where

[tex]y=\text{height of the frustum}=H-h=10cm\\R=\text{radius of larger cone}=8cm\\r=\text{radius of smaller cone}=7cm[/tex]

substituting the values of [tex]y[/tex], [tex]R[/tex] and [tex]r[/tex] into the frustum formula and using [tex]\pi\approx 3.14[/tex]

[tex]F = \frac{\pi y}{3}(R^2+Rr+r^2)\\\\=\frac{\pi\times 10 }{3}(8^2+8\times 7+7^2)\\\\=\frac{10\pi}{3}(64+56+49)\\\\=\frac{1690\pi}{3}\\\\\approx 1769cm^3[/tex]

the approximate volume of the frustum is [tex]1769cm^3[/tex]

Learn more about the volume of a frustum here: https://brainly.com/question/14177094

Answer:

$200

Step-by-step explanation:

If the tax is 5%, then she pays $5 for every $100. If she paid $10 in tax, her purchase was $200.

Answer:

a and d

Step-by-step explanation:

these simplify to .77 for A and .81 for B

Answer:

2q+7r+8

Step-by-step explanation:

(q+3)+(q+2)+(7r+3)

Brainliest is very apprieciated!

Answer:

N<6

Step-by-step explanation:

Add 11 to both sides then multiply by 2

Hello! :p

    2. Simply again [tex]\sqrt{5} \\\sqrt{2}[/tex]

    3. rationalize the denominator so 5/2 times 2/2  [tex]\sqrt{5} \sqrt{2} \\ ---\\2[/tex]

    4. Simply  [tex]\sqrt{5} \sqrt{2}[/tex] to [tex]\sqrt{10}[/tex]

      answer: [tex]\sqrt{\frac{10}{2} }[/tex]

Hope this helps! Have a wonderful day1 :)

Sorry, I had a hard time finding all the symbols, so I had to get creative!

Answer: R= 7

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf t = 7}[/tex]

Step-by-step explanation:

-8 (4 - t) = 24

-32 + 8t = 24

Add 32 to both sides

8t = 24 + 32

8t = 56

Divide both sides by 8

t = 7

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

x + y = 75

Step-by-step explanation:

2x - 5 and 75 are adjacent angles on a straight line and sum to 180° , that is

2x - 5 + 75 = 180

2x + 70 = 180 ( subtract 70 from both sides )

2x = 110 ( divide both sides by 2 )

x = 55

Then

2x - 5 = 2(55) - 5 = 110 - 5 = 105

2x - 5 and 4y + 25 are vertically opposite angles and are congruent, so

4y + 25 = 105 ( subtract 25 from both sides )

4y = 80 ( divide both sides by 4 )

y = 20

Then x + y = 55 + 20 = 75

Answer:

264 cm³

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

I hope this helps!!

Hello there!

7 is greater than -7, because positive numbers are always greater than negative ones.

a>-a

The > sign means "greater than"

Hope it helps.

~A lonely teen who helps others with a smile

-Grace :-)

Good luck.

Answer:

$4,608.00

Step-by-step explanation:

Subtract 36% from 7,200 and you get 4,608.

Answer:

less

Step-by-step explanation:

Answer:

30x-10

Step by Step Work:

5x(6)-10

Because 5 x 6= 30, it becomes

30x-10

Since 30x and 10 have different terms, you can not simplify any further.

So you get your answer, which is 30x-10.

Answer

30x-10

Step by Step Work:

5x(6)-10

Because 5 x 6= 30, it becomes

30x-10

Since 30x and 10 have different terms, you can not simplify any further.

So you get your answer, which is 30x-10.

Answer:

Step-by-step explanation: I know that 72/80 is greater than 7/8 because when we make 7/8 as the same denominator as of 72/80 it is only 70/80 which is smaller than 72/80.

Answer:

[tex]to \: know \: the \: answer \: [/tex]

[tex]refer \: to \: the \: above \: attatchment[/tex]

Answer:

  a. 3942 kWh

  b. $473.04

  c. 1314 kWh

  d. $157.68

Step-by-step explanation:

There are 1000 W in 1 kW, so 450 W = 0.450 kW. The energy used per day is ...

  (0.45 kW)(24 h) = 10.8 kWh . . . . energy per day

Then in a 365-day year, the energy used is

  (365 da/yr)(10.8 kWh/da) = 3942 kWh/yr

__

At the rate of $0.12/kWh, the cost of running the pump is ...

  ($0.12/kWh)(3942 kWh/yr) = $473.04/yr

__

Switching the pump off for 1/3 of the time will save 1/3 of the energy found in part (a):

  1/3(3942 kWh) = 1314 kWh . . . . energy saved by switching off the pump

__

The savings will be 1/3 of the cost of running the pump full time:

  1/3($473.04/yr) = $157.68/yr

Answer:

3

Step-by-step explanation:

Step-by-step explanation:

x/5 - 74 = 26

x/5 = 26 + 74

x/5 = 100

x = 100 x 5

x = 500

The  IUPAC name for a binary covalent compound lack prefixes such as mono, di, tri tetra etc.

A binary compound is a compound that is composed of only two elements. Many binary compounds could be made up of a metal and a nonmetal or even two nonmetals as the case may be. Examples of binary compounds include; SO2, NaH, K2S etc.

We must note that a binary covalent compound uses Roman numerals to indicate the oxidation state of the central atom in the compound. For instance, SO2 is called Sulfur IV oxide.

Hence, the  IUPAC name for a binary covalent compound lack prefixes such as mono, di, tri tetra etc.

Lear more about IUPAC: https://brainly.com/question/11587934

Answer:3

Step-by-step explanation:

5x3=15

15+4=19

Answer:

These results, 7 and 9, have a product of 63, as stated.

Step-by-step explanation:

Represent the first odd number by x and the first consecutive odd number by x + 2.  Then the product of these two numbers is x(x + 2) and it equals 63.

Solve for x.  Perform the indicated multiplication, obtaining

x^2 + 2x - 63 = 0

Solve this by factoring:  (x + 9)(x - 7) = 0

Then x could be either -9 or +7.  If we let x = 7 then the first consecutive odd number is 7 + 2, or 9.  These results, 7 and 9, have a product of 63, as stated.

Answer:

-9x - 9

Step-by-step explanation:

Combine like terms.

-3 • 2x= -6x.     -3 • 5= -15

-6x - 15 - 3x+ 6

-9x - 9

Answer:

Step-by-step explanation:

If 10 less than 5 times a number is two more than 3 times the number, then the number is ​

10 - 5x = 2 + 3x

10 - 2 - 5x - 3x = 0

8 - 8x = 0

x = 1

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

check

10 - 5 * 1 = 2 + 3 * 1

5 = 5

the answer is good

Answer:

88

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

Answer:

see

Step-by-step explanation:

Answer:

(11/7)x + (3/7)y

Step-by-step explanation:

Perform the indicated multiiplication.  We get:

(6/7)x - (2/5)y + (5/7)y + (5/7)x

Now combine like terms, obtaining:      (11/7)x + (3/7)y

An alternative expression would be (1/7)(11x + 3y)