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IRINA_888 [86]
3 years ago
11

Solve the equation for X and show your work. 3x= 15

Mathematics
2 answers:
dem82 [27]3 years ago
5 0
X=5

divide both sides by 3

3/3
15/3

5
Aleksandr-060686 [28]3 years ago
3 0

Answer:

5

Step-by-step explanation:

15/3=5

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A metal hollow bar whose cross section and dimension are shown below weighs 8x10^3 kg/m^3 and measure 2m in length ..determine t
devlian [24]
1) We calculate the volume of a metal bar (without the hole).

volume=area of hexagon x length
area of hexagon=(3√3 Side²)/2=(3√3(60 cm)²) / 2=9353.07 cm²
9353.07 cm²=9353.07 cm²(1 m² / 10000 cm²)=0.935 m²

Volume=(0.935 m²)(2 m)=1.871 m³

2) we calculate the volume of the parallelepiped

Volume of a parallelepiped= area of the section  x length
area of the section=side²=(40 cm)²=1600 cm²
1600 cm²=(1600 cm²)(1 m² / 10000 cm²=0.16 m²
Volume of a parallelepiped=(0.16 m²)(2 m)=0.32 m³

3) we calculate the volume of a metal hollow bar:
volume of a metal hollow bar=volume of a metal bar -  volume of a parallelepiped

Volume of a metal hollow bar=1.871 m³ - 0.32 m³=1.551 m³

4) we calculate the mass of the metal bar

density=mass/ volume  ⇒ mass=density *volume

Data:
density=8.10³ kg/m³
volume=1.551 m³

mass=(8x10³ Kg/m³ )12. * (1.551 m³)=12.408x10³ Kg

answer: The mas of the metal bar is 12.408x10³ kg  or   12408 kg  


4 0
3 years ago
What are the factors of -20 that have a sum of -1
qaws [65]

Answer:

The factors of -20 are:

1, 2, 4, 5, 10, 20

-1, -2, -4, -5, -10, -20

Step-by-step explanation:

6 0
2 years ago
An oil exploration firm is formed with enough capital to finance ten explorations. The probabil- ity of a particular exploration
tensa zangetsu [6.8K]

Answer:

μ = 1 The firm expects that one oil exploration will be successful.

v(x)= 0.9

Step-by-step explanation:

The first step is to define the random variable x as:

x: number of oil explorations being succesful

Then x can be take this values:

x = 0 , x =1 ... x =10

x is a binomially distributed random variable with parameters.

p = 0.1 and  n=10

And the mean or the expected value of x is:

μ = E(x) = np

Then μ = 10*0.1 = 1

And the variance of x is:

V(x) = np(1-p)

V(x) = 10(0.1)(1-0.1)= 0.9

6 0
2 years ago
What is the equation of a line with a slope of -2 that passes through the point (-2,12)?
slavikrds [6]

Answer:

y=-2x + 8 which is the required equation

Which is option C

Step-by-step explanation:

Given:

Slope = m = -2

Given points are ( -2,12)

Which is

x = -2 and y =12

TO find:

Equation of line passing through these points = ?

Solution:

The point slope form of a line is

y = mx + c

Here we don't know the value of c

To find it

Putting y = 12 , x= -2 and y = -2 in the given equation

y = mx + c

Putting values it becomes

12 = (-2)*(-2) + c

12 = 4 + c

Subtracting 4 from both sides

12-4 = 4 -4 + c

8 = c

Now we have

m = -2 and c= 8

So equation of a line is given by

y = mx + c

Putting value of m and c

y = -2*x + 8

y=-2x + 8 which is the required equation


7 0
2 years ago
Read 2 more answers
(5 Points)<br> all (1 – 3K)<br> -396<br> 0-374<br> 0 -198<br> 0 -187
Triss [41]

Answer:−3K−395,−374,−198,−187

Step-by-step explanation:

Remove parentheses.

1−3K−396,0−374,0−198,0−187

Simplify  1-3K-3961−3K−396  to  -3K-395−3K−395.

−3K−395,0−374,0−198,0−187

Simplify  0-3740−374  to  -374−374.

−3K−395,−374,0−198,0−187

Simplify  0-1980−198  to  -198−198.

−3K−395,−374,−198,0−187

Simplify  0-1870−187  to  -187−187.

−3K−395,−374,−198,−187

6 0
3 years ago
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