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3 years ago

Three times the quantity of a number plus 6 is 18 . What is the number?

Mathematics

2 answers:

umka2103 [35]3 years ago

4 0

Answer:

Step-by-step explanation:

let the number x

3x + 6 = 18

3x = 12

x = 4

klio [65]3 years ago

3 0

Answer: maybe 4

Step-by-step explanation:

4×3=12

12+6=18

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Jillian owns 60% of the stock

Amiraneli [1.4K]

Answer:

Jillian has 720 shares

Step-by-step explanation:

Find 60% 1,200 shares

Convert 60% to decimal.

0.6

Multiply to find 60% of 1,200

0.6 x 1,200 = 720

720 shares

8 0

3 years ago

3 regions are defined in the figure find the volume generated by rotating the given region about the specific line

anastassius [24]

The volume generated by rotating the given region $R_{3}$ about OC is $\frac{4}{g} \pi$

<h3>Washer method</h3>

Because the given region ( $R_{3}$ ) has a look like a washer, we will apply the washer method to find the volume generated by rotating the given region about the specific line.

solution

We first find the value of x and y

$y=2(x)^{\frac{1}{4} }$

$x=(\frac{y}{2} )^{4}$

$y=2x$

$x=\frac{y}{2}$

$\int\limits^a_b {\pi } \, (R_{o^{2} } - R_{i^{2} } ) dy$

$R_{o} = x = \frac{y}{2}$

$R_{i} = x= (\frac{y}{2}) ^{4}$

$a=0, b=2$

$v= \int\limits^2_o {\pi } \, [(\frac{y}{2})^{2} - ((\frac{y}{2}) ^{4} )^{2} ) dy$

$v= \pi \int\limits^2_o= [\frac{y^{2} }{4} - \frac{y^{8} }{2^{8} }} ] dy$

$v= \pi [\int\limits^2_o {\frac{y^{2} }{4} } \, dy - \int\limits^2_o {\frac{y}{2^{8} } ^{8} } \, dy ]$

$v=\pi [\frac{1}{4} \frac{y^{3} }{3} \int\limits^2_0 - \frac{1}{2^{8} } \frac{y^{g} }{g} \int\limits^2_o\\v= \pi [\frac{1}{12} (2^{3} -0)-\frac{1}{2^{8}*9 } (2^{g} -0)]\\v= \pi [\frac{2}{3} -\frac{2}{g} ]\\v= \frac{4}{g} \pi$

A similar question about finding the volume generated by a given region is answered here: brainly.com/question/3455095

6 0

2 years ago

0.611111111. .. repeating equals<br> Q. 12/19<br> b. 11/18<br> c. 13/20<br> d. 10/17

-Dominant- [34]

Answer:

B. 11/18

Step-by-step explanation:

Solve using algebra.

x = 0.611111...

10x = 6.111111...

10x - x = 6.111111.. - 0.61111111..

9x = 5.5

x = 5.5/9

x = 11/18

7 0

3 years ago

Sofia made a scale drawing of a house. The scale she used was 1 millimeter : 6 meters. If the actual length of the garage is 12

romanna [79]

Answer:

2 millimeters.

Step-by-step explanation:

1 millimeter : 6 meters

x millimeters : 12 meters

x = (12÷6) × 1

x = 2×1

x = 2 millimeters

6 0

3 years ago

Aaron is using a special beaker in science that is a cylinder with a radius of 2 cm and a height of 3 cm on top of a cylinder th

Vilka [71]

Since in the above case, the beaker has two sections each with different radius and height, we will divide this problem into two parts.

We will calculate the volume of both the beakers separately and then add them up together to get the volume of the beaker.

Given, π = 3.14

Beaker 1:

Radius (r₁) = 2 cm
Height (h₁) = 3 cm

Volume (V₁) = π r₁² h₁ = 3.14 x 2² x 3 = 37.68 cm³

Beaker 2:

Radius (r₂) = 6 cm
Height (h₂) = 4 cm
Volume (V₂) = π r₂² h₂ = 3.14 x 6² x 4 = 452.16 cm³

Volume of beaker = V₁ + V₂ = 37.68 + 452.16 = 489.84 cm³

7 0

3 years ago

Read 2 more answers