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Likurg_2 [28]
3 years ago
9

Which inverse operation would you use to solve the equation x/6-4=8

Mathematics
1 answer:
Artist 52 [7]3 years ago
3 0
Hi there!

To find x, you would need to use the inverse of subtraction (addition) and inverse of division (multiplication), since you'd need to isolate x to one side of the equation to set x equal to a number. 

Hope this helps!
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8 times of the eight term of an arithmetic progression is equal to 12 times of the twelfth term. find its first term if the comm
Ilya [14]

Answer:

a₁ = 38

Step-by-step explanation:

Given AP, where:

  • 8a₈ = 12a₁₂
  • d = -2,
  • a₁ = ?

=============

<h3>Solution</h3>

aₙ = a₁ + (n-1)d

  • a₈ = a₁ + 7d = a₁ + 7*(-2) = a₁ - 14
  • a₁₂ = a₁ + 11d = a₁ + 11*(-2) = a₁ - 22

8a₈ = 12a₁₂

  • 8(a₁ - 14) = 12(a₁ - 22)
  • 2(a₁ - 14) = 3(a₁ - 22)
  • 2a₁ - 28 = 3a₁ - 66
  • 3a₁ - 2a₁ = -28 + 66
  • a₁ = 38
6 0
3 years ago
Tan x (degrees) = 0.3<br> what is the value of x?
jenyasd209 [6]
X= shift tan 0.3
x=16.6992≈17
3 0
3 years ago
16 The perimeter of the pentagon is equal to the perimeter of the square.
STatiana [176]

7x+2

Step-by-step explanation:

add all the sides of the pentagon and make it equal to the perimeter of the square which is 4y

sides of the pentagon are

5x+3

2x+3

7x+4

9x-10

5x+8

28x+8=4y

7x+2 = y

7x+2 = answer

gathmath

gathmathier6961

another way :

in a standardized test you may want to use real numbers

make x equal a prime number like 3

so then the sides are

18

9

25

17

23

=

92

then divide by 4

23

then divide by 3

which is 7 remainder of 2

which is

7x+2

8 0
2 years ago
Point P' is the image of P(3,5) under a reflection across the y-axis.
Kryger [21]

Answer:

(-3,5)

Step-by-step explanation:

In reflections the x axis is the opposite only

8 0
3 years ago
An automobile manufacturer sold 30,000 new cars, one to each of 30,000 customers, in a certain year. The manufacturer was intere
snow_lady [41]
A) In order to create a sampling plan, you need to follow the following 5 steps:
    1) Define the sample population: who are the customers you want to contact?
       The costumers who bought a new car on a certain year.
    2) Define the size of population: how many customers are you going to contact?
       Of the 30000 customers who bought a car, you want to contact 1000 customers.
    3) Define the contact options: how are you going to contact the customers?
       You have a list of names and addresses, therefore you can send a questionnaire via mail.
    4) Form a sampling frame: what is the time or contact frame to get in touch with your customers? 
       You will send the questionnaires and you will wait two months for the answer.
    5) Define the analysis method: is yours a qualitative or quantitative research?
     In your case, you want a quantitative research and therefore a probabilistic sampling.

B) The 32.5% probability refers to customers having issues with the power doors locks among the costumers who had problems, it does not consider the customers who did not have any problem or those who had problems after the first 5000 miles.

C) In order to find the probability of a power door lock problem if there have been problems within the first 5000 miles, we need to consider the whole sample:
P = 13 / 1000
   = 0.013

Therefore, 
N = <span>0.013 </span>× 30000
   = 390

Hence, the number of new cars sold that experienced a problem with the power door locks within the first 5000 miles will be 390.
         
4 0
3 years ago
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