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tekilochka [14]
3 years ago
7

A coffe table is on sale for 20% off the orgingial price of $115. If there is 7.5% sales tax, what is the original price of the

coffee table?
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
3 0

Answer: 98.90

Step-by-step explanation:

115*.2=23

115-23=92

0.075*92=6.9

6.90+92=$98.90

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A solid toy is in the form of a hemisphere surmounted by a right circular cone. The height of the cone is 4 cm and diameter of t
docker41 [41]

Answer:

See below ~

Step-by-step explanation:

<u>Things to Find</u>

  1. Volume of Toy
  2. Difference of Volumes in Cube and Toy
  3. Total Surface of Toy

<u>Volume of Toy</u>

  • Volume of Hemisphere + Volume (Cone)
  • 2/3πr³ + 1/3πr²h
  • 1/3πr² (2r + h)
  • 1/3 x 3.14 x 16 (8 + 4)
  • 1/3 x 50.24 x 12
  • 50.24 x 4
  • <u>200.96 cm³</u>

<u></u>

<u>Volume of Circumscribing Cube</u>

  • Edge length is same as diameter
  • V = (8)³
  • V = 512 cm³

<u>Difference in Volume</u>

  • 512 - 200.96
  • <u>311.04 cm³</u>

<u></u>

<u>Slant height of cone</u>

  • l² = 4² + 4²
  • l² = 32
  • l = 4√2 cm = 5.6 cm

<u />

<u>Surface Area of Toy</u>

  • CSA (hemisphere) + CSA (Cone)
  • 2πr² + πrl
  • πr (2r + l)
  • 3.14 x 4 (8 + 5.6)
  • 12.56 x 13.6
  • <u>170.8 cm²</u>
3 0
1 year ago
Find the constant rate of change for each linear function and interpret its meaning
Marina CMI [18]

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

and to get it, we simply need two points off of the straight line, hmm let's use the ones in the picture below.

(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{6}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}}\implies \cfrac{2}{4}\implies \cfrac{1}{2}

3 0
2 years ago
Fiona is gathering signatures on a petition to save the Orangutans. If she gets 4 times the number of signatures that she has ri
Reika [66]

Answer: 2000

Step-by-step explanation:

Set up equation

The total signatures she needs is 4 times as many as she has. From this we can create the equation (4n = total signatures)

We know that the total number of signatures is 8000, so plug this into the equation to get 4n = 8000

Solve for n

Now that we have an equation, we can solve for n by dividing both sides by 4

4n = 8000

n = 8000 / 4 = 2000

Final Answer

Fiona has collected 2000 signatures so far

3 0
3 years ago
Given the circle below with secants BCD and FED, find the length of BC.
Stells [14]
It is 7.3 please give brainliest
8 0
2 years ago
How to convert whole number as fraction​
Mice21 [21]

To <u>convert an integer to a fraction</u> you must choose an expression that does not alter the numerical value. You can do this with multiples of the number, for example, for 100:

100/1 = 200/2 = 300/3 = 400/4 = 100

  • The numerical value is not altered and the result will always be 100

Another example, for 500:

500 = 500/1 = 1000/2 = 1500/3 = 2000/4

<h2>{ Pisces04 }</h2>
3 0
1 year ago
Read 2 more answers
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