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beks73 [17]
2 years ago
15

Solve each compound inequality 1<4+2x<7

Mathematics
1 answer:
makvit [3.9K]2 years ago
7 0

Answer: - 3/2 < x < 3/2

Step-by-step explanation:

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6 0
3 years ago
Write a real world situation that could be modeles by the equation 8+2x=6x.Then solve the problem
Sveta_85 [38]
8+2x=6x
subtract -2x on both sides
8=4x
Divide by 4 on both sides
2=x

all you need is the story :)
7 0
3 years ago
The mean breaking strength of a ceramic insulator must be at least 10 psi. The process by which this insulator is manufactured m
olga nikolaevna [1]

Answer:

H0: u ≥ 9.5

Ha:  u < 9.5

Step-by-step explanation:

The null hypothesis and the alternate hypothesis are reverse of each other.

The claim is either set as the null or alternate hypothesis

The null hypothesis  is : H0: u ≥ 9.5  the mean breaking strength of a ceramic insulator is at least 9.5 which is considered equivalent to the standard.

The alternate hypothesis is: Ha:  u < 9.5 the mean breaking strength of a ceramic insulator is less than 9.5 which is  not considered equivalent to the standard.

6 0
3 years ago
I dont know how to complete this
ICE Princess25 [194]

Answer:

The mass would be 6x10^6

Step-by-step explanation:

In order to solve this, we simply need to multiply the two numbers together to get the new mass.  

3x10^4 * 2x10^2 = 6x10^6

6 0
3 years ago
Read 2 more answers
Determine the values of x and y in the diagram and use them to determine the measures of the eight angles
AleksAgata [21]

Answer:

Part 1) x=8

Part 2) y=12

Part 3) m\angle a=105^o

Part 4) m\angle b=75^o

Part 5) m\angle c=105^o

Part 6) m\angle d=75^o

Part 7) m\angle e=105^o

Part 8) m\angle f=75^o

Part 9) m\angle g=105^o

Part 10) m\angle h=75^o

Step-by-step explanation:

see the attached figure with letters to better understand the problem

Part 1) Determine the value of x

we know that

m\angle a=m\angle g ----> by alternate exterior angles

substitute the given values

(17x-31)^o=(12x+9)^o

solve for x

17x-12x=9+31\\5x=40\\x=8

Part 2) Determine the value of y

we know that

m\angle c+m\angle d=180^o ----> by supplementary angles (consecutive interior angles)

substitute the given values

(7y+21)^o+(5y+15)^o=180^o

solve for y

(12y+36)^o=180^o

12y=180-36

12y=144

y=12

Part 3) Find the measure of angle a

we have

m\angle a=(17x-31)^o

substitute the value of x

m\angle a=(17(8)-31)=105^o

Part 4) Find the measure of angle b

we know that

m\angle a+m\angle b=180^o ----> by supplementary angles (consecutive interior angles)

we have

m\angle a=105^o

substitute

105^o+m\angle b=180^o

m\angle b=180^o-105^o

m\angle b=75^o

Part 5) Find the measure of angle c

we know that

m\angle c=m\angle a ----> by vertical angles

we have

m\angle a=105^o

therefore

m\angle c=105^o

Part 6) Find the measure of angle d

we know that

m\angle d=m\angle b ----> by vertical angles

we have

m\angle b=75^o

therefore

m\angle d=75^o

Part 7) Find the measure of angle e

we know that

m\angle e=m\angle a ----> by corresponding angles

we have

m\angle a=105^o

therefore

m\angle e=105^o

Part 8) Find the measure of angle f

we know that

m\angle f=m\angle b ----> by corresponding angles

we have

m\angle b=75^o

therefore

m\angle f=75^o

Part 9) Find the measure of angle g

we know that

m\angle g=m\angle c ----> by corresponding angles

we have

m\angle c=105^o

therefore

m\angle g=105^o

Part 10) Find the measure of angle h

we know that

m\angle h=m\angle d ----> by corresponding angles

we have

m\angle d=75^o

therefore

m\angle h=75^o

6 0
3 years ago
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