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trapecia [35]
3 years ago
15

Solve the equation for x. show each step of the solution. name the justifications for each step of the solutions.

Mathematics
1 answer:
sweet [91]3 years ago
5 0
9/2{8-x}+36=102-5/2{3x+24}
you first use 9/2 to open brackets
9/2*8=36,
9/2*x=9/2x
36-9/2x=102-5/2{3x+24}
5/2*3x=15/2x+60
36-9/2x=-15/2x-60
36+60=15/2x+9/2x
96=12x you then divide and the answer obtained will be 8.
x=8
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? Write 126 as a product of primes. Use index notation when giving your answer.​
Talja [164]

Answer:

2 x 7 x 3²

Step-by-step explanation:

When finding primes, you use the method I attatched as a picture. Start with the large number at the top, slowly dividing it by factors of it.

The picture shows that the primes 126 is a product of is:

2, 7, 3, 3

Or:

2 x 7 x 3 x 3

This can be simplified into:

2 x 7 x 3²

Hope this helps!

7 0
3 years ago
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A recipe called for the ratio of sugar to flour to be 10: 1. If you used 90 ounce of sugar, how
dem82 [27]

Answer:9 ounces of flours

Step-by-step explanation:90:9 ratio or sugar to flour

5 0
3 years ago
Which location is closest to sea level?how do u know?
solmaris [256]

Answer:

C= -55 is the closest location from the sea level, Because its distance from sea level is 55 m which is minimun among given list.

7 0
3 years ago
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Please help:))))))
Veronika [31]

Answer:

1. 6x^2 + 4x - 4y

2. x - 10y.

3. 6x^5

4.  36 a^6 b^8

5. x^2 - 81

6. 9x^2 - 42x + 49

7. 12x^2 +3x - 42


Step-by-step explanation:

1. 3x^2+4x+3x^2-4y

Add the like terms, we get

6x^2 + 4x - 4y


2. (5x-2y)-(4x+8y)

Now distribute the negative sign, we get

5x - 2y -4x -8y

Simplify the like terms, we get

x - 10y.


3. 3x^3(2x)^2

Multiply the numbers and simplify the variables

6x^(3 +2)

6x^5

4. (-6a^3b^4)^2

Now bring the power 2 inside the parenthesis.

-6^2 a^6 b^8

= 36a^6b^8


5. (x+9) (x-9)

x^2 + 9x -9x - 81

x^2 - 81


6. (3x-7)^2

(3x - 7)(3x - 7)

9x^2 - 21x -21x + 49

9x^2 - 42x + 49


7. (3x+6) (4x-7)

12x^2 + 24x -21x - 42

12x^2 +3x - 42

Thank you.

8 0
3 years ago
The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 10
LekaFEV [45]
Step 1
find the coordinates of the factory
the <span>factory is 104 miles due north of the warehouse

the coordinates of the warehouse are (39,-52)
coordinates of the factory------> (39,-52+104)------> (39,52)

step 2

find the distance warehouse to airport
let
A coordinates of warehouse-------> A( 39,-52)
B coordinates of airport---------> B(-39,52)
C coordinates of factory-------> C(39,52)

distance AB=</span>√[(52+52)²+(-39-39)²]------> distance AB=130 miles
<span>
step 3
find the distance airport to factory
B(-39,52)
</span>C(39,52)
distance BC=√[(52-52)²+(39+39)²]-----> distance BC=39 miles

<span>the total number of miles=distance AB+distance BC---> 130+39
</span><span>the total number of miles=169 miles
</span>
the answer is
169 miles
8 0
3 years ago
Read 2 more answers
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