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shutvik [7]
3 years ago
9

Two less than the product of 9 and a number is 5. translate the sentence into an equation

Mathematics
1 answer:
Leona [35]3 years ago
4 0

Answer:

Step-by-step explanation:

9n - 2 = 5

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A scientist needs 4.8 liters of a 12% alcohol solution. She has available a 22% and a 10% solution. How many liters of the 22% a
yanalaym [24]

Answer:

  • 4.0 L of 10%
  • 0.8 L of 22%

Step-by-step explanation:

For mixture problems, it is convenient to define a variable to represent the amount of the greatest contributor. Let x represent the amount of 22% solution in the mix. Then 4.8-x is the amount of 10% solution.

The amount of alcohol in the mix is ...

  0.22x +0.10(4.8-x) = 0.12(4.8)

Eliminating parentheses, we have ...

  0.22x -0.10x +0.10(4.8) = 0.12(4.8)

Subtracting (0.10)(4.8) and combining x-terms gives ...

  0.12x = 0.02(4.8)

  x = (0.02/0.12)(4.8) = 0.8 . . . . . divide by the x-coefficient

The scientist needs 0.8 L of 22% solution and 4.0 L of 10% solution.

5 0
3 years ago
Choose the TWO factored binominals for the expression: x2+6x – 27 Question 6 options: A) (x - 3) B) (x - 9) C) (x + 6) D) (x + 9
Vera_Pavlovna [14]

Answer:

A) x-3 and D) x+9

Step-by-step explanation:

x^2 + 6x - 27

You need to find two numbers that multiply to -27 and add up to 6

Those two numbers are -3 and 9, because 9 * -3 = -27 and 9+ -3 = 6

So you add those to x and those are your two factored binomials

(x-3) and (x+9)

4 0
3 years ago
Question in the image below:
horrorfan [7]

Answer:

x = 5/33 or 0.151515151

Step-by-step explanation:

7(-6x-2) = 8(3x-4)

step 1: simplify the equation.

-42x - 14 = 24x - 4

step 2: isolate the variable (using the balance method).

-42x - 14 + 14 = 24x - 4 + 14

-42x = 24x + 10

-42x - 24x = 24x - 24x + 10

-66x = 10

step 3: solve for x.

x = 10 ÷ -66

x = 5/33

4 0
2 years ago
How do I do 21? (Will mark brainlest for explaining)
Maslowich
Let's say the number is x
75%of x is 15
75%x=15
0.75x=15
x=15/0.75
x=20

or you can say 3/4x=15
x=15*4/3
x=20
6 0
3 years ago
Solve -3 1/2 = 1/2x + x<br> A) -5 1/2<br> B) -1 3/4<br> C) -1 1/2
givi [52]

im guessing c, but dont answer it becuase im not really sure


3 0
3 years ago
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