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GarryVolchara [31]
3 years ago
8

3x(5+x) - 2x (3x - 7) Algebra questions

Mathematics
2 answers:
Harman [31]3 years ago
5 0

explanation

3x(5+x) - 2x(3x-7)

open the brackets, we have

15x + 3x^2 - 6x^2 + 14x

collect like terms

3x^2 - 6x^2 +15x + 14x

-3x^2 + 29x

answer= -3x^2 + 29x

Licemer1 [7]3 years ago
5 0
The answer is -3x^2+29x
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A store sells Brazilian coffee for $10 per lb. and Columbian coffee for $14 per lb. If the store decides to make a 150-lb. blend
Artemon [7]

Answer:

The store should use 112.5 pounds of Brazilian coffee and 37.5 pounds of Colombian cofee.

Step-by-step explanation:

Let "b" be the amount of Brazilian coffee, in pounds, required for the blend and "c" the amount of Colombian coffee required, in pounds.

Since there are two unknown variables a two-equation system is needed to solve the problem, we can set up one equation for weight and another for price as follows:

b+c=150\\10*b+14*c=11*150

Solve for "c" by multiplying the first equation by -10 and adding it to the second one:

b+c=150\\10b+14c -10b-10c=11*150 -(10*150)\\4c=150\\c = 37.5

Now, solve for b by replacing the value obtained into the first equation

b+c=150\\b= 150 - 37.5\\b=112.5

The store should use 112.5 pounds of Brazilian coffee and 37.5 pounds of Colombian cofee.

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3 years ago
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Ahat [919]

Answer:

Step-by-step explanation:

7x-14-2x+6 = 5x - 8

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3 years ago
Kallisto built a rectangular sign that measured 2 and 3/4. The width is 1 and 1/4 shorter than the length. To find the area, mul
prisoha [69]

Answer:

<em>l</em> = 1 5/16

w = 1/16

A = 21/16 x 1/16 = 21/256

Step-by-step explanation:

Perimeter = 11/4

<em>l</em> = length

w = <em>l</em> - 5/4

2<em>l</em> + 2(<em>l</em> - 5/4) = 11/4

2<em>l</em> + 2<em>l</em> - -5/2 = 1/4

multiply each side by 4

8<em>l</em> + 8<em>l </em>- 10 = 11<em> </em>

16<em>l</em> = 21

<em>l</em> = 21/16 or 1 5/16

width = 21/16 - 20/16 = 1/16

8 0
3 years ago
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