Find <img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B8%7D" id="TexFormula1" title="\sqrt[3]{8}" alt="\sqrt[3]{8}" align="absm

Paul, a dentist, determined that the number of cavities that develops in his patient's mouth each year varies inversely to the n

timofeeve [1]

Answer:

Step-by-step explanation:

Inverse variation is written as

$y=\frac{k}{x}$ which, in words, says "y varies inversely with x". If cavities varies inversely with time brushing, then

$c=\frac{k}{t}$

We are given the initial condition for which we need to solve for k:

c = 4 when t = 30:

$4=\frac{k}{30}$ so

k = 120.

Now we will use that value of k to solve the problem of how many cavities, c, would she have if she brushed her teeth 120 seconds, t, each night:

$c=\frac{120}{120}$ (the 120 on top is the k value and the 120 on the bottom is the number of seconds she brushed) to get

c = 1

7 0

3 years ago

Read 2 more answers

The sum of the series shown in the picture

anastassius [24]

-530
I hope this helps! (^_^)

3 0

3 years ago

Solve for 8x+c=k <br> Solve for X

ryzh [129]

Answer:

x=1

Step-by-step explanation: x will always be one unless the value of x is given for example, x wouldnt be one if in the question it says x=10 or x=9 or any number other than one

7 0

2 years ago

A building in the shape of a square pyramid is being built in Las Vegas. The height of the building will be 309 feet, and a size

finlep [7]

Answer: 51.5 cubic feet.

Step-by-step explanation:

Since, The height of the building will be 309 feet, and a size of the base measures 250 feet.

And, we know that the volume of the square pyramid = $(size of the base)^2\times \frac{height}{3}$

Here, size of the base of the square pyramid = 250 feet.

And, height = 309 feet.

Therefore, the volume of the given square pyramid,

$V=(250)^2\times\frac{309}{3}$

⇒ $V=62500 \times\frac{309}{3}$

⇒ $V= \frac{19312500}{3}$ = 6437500 cubic feet.

Again according to the question,

The scale model that is displayed at a convention is one fiftieth the size of the actual building.

Therefore, Volume of the scale model = the volume of the given square pyramid/125000

= 6437500/125000= 51.5 cubic feet.

Thus, the volume of the scale model is 51.5 cubic feet.

6 0

4 years ago

one hundred forty countries participated in the 1984 summer olympics in los angeles. this was 75% more than the number of countr

Cloud [144]

Answer:

80 countries participated in the 1980 olympics in Moscow.

Step-by-step explanation:

Hello, I think I can help you with this

You can solve this by using a simple rule of three

Step 1

define

140 countries participated in 1984,this was 75% more than the last time,this means that 140 is the 175% of a value that we need to know

if

140 ⇔175%

x? ⇔100%

the relation is

$\frac{140}{175}=\frac{x}{100}$

Step 2

solve for x

$\frac{140}{175}=\frac{x}{100}\\x=\frac{100*140}{175}\\x=\frac{14000}{175} \\x=80$

80 countries participated in the 1980 olympics in Moscow.

Have a nice day

6 0

3 years ago