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vodka [1.7K]
2 years ago
11

Part A: Solve the equation 5(x + 2) = 6x + 3x − 14, and show your work. (5 points)

Mathematics
2 answers:
prisoha [69]2 years ago
7 0

Answer:

Part A:

x = 6

Step-by-step explanation:

5(x + 2) = 6x + 3x - 14

use the distributive property for the left side of the equation

(in case you don't know, * means multiply)

5 * x = 5x

5 * + 2 = 10

5x + 10 = (6x + 3x) - 14

combine like terms on the right of the equation.

(6x + 3x) = 9x

5x + 10 = 9x - 14

Move the +10 on the left to the right (change the + to a - )

5x = 9x - 14 - 10

Move the +9x on the right to the left (change the + to a - )

5x - 9x = -14 -10

All the like terms are together so now you can combine them.

5x - 9x = -4x\\-14 - 10 = -24

-4x = -24

divide both sides by -4 so the x is by itself

x = 6

Hope this was helpful :-)

ExtremeBDS [4]2 years ago
5 0

Answer:

x=8

Step-by-step explanation:

5(x+2)=6x+3x-14

5x+10=6x+3x-14. distributive property

10+14=8x-5x. combine like term

24=3x. addition and subtraction property

24/3 = 3x/3. division property

8=x

> x = 8

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Easton is working two summer jobs, making $18 per hour tutoring and $9 per hour clearing tables. Last week Easton worked 4 times
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Andrea has a yard shaped like parallelogram ABCD. The garden area, parallelogram EFGB, has an area of 105 ft2004-05-02-04-00_fil
Lynna [10]

The area of a parallelogram is simply calculated using the formula:

A = b * h

Where,

b = length of the base = 45 ft

h = height which is perpendicular to the base = 21 ft

Using the formula, we calculate the total area of the yard.

A = b* h

A = 45 ft * 21 ft

A = 945 ft^2

Now we don’t want to sod the Garden area for the most obvious reason. The garden has an Area of 105 ft^2, we subtract this to the total area giving us,

Area to sod = 945 ft^2 – 105ft^2

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2 years ago
Put the following equation of a line into slope-intercept form, simplifying all
lilavasa [31]

Answer:

y = x -7

Step-by-step explanation:

2x - 2y = 14

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

Subtract 2x from each side

2x - 2y -2x = -2x+14

-2y = -2x+14

Divide each side by -2

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8 0
2 years ago
Read 2 more answers
Write a expression that shows 3 times the sixth power of 10
user100 [1]
(10 raised to the power of 6)×3     

(10*6) ×3
8 0
2 years ago
If Ana devotes all her time to making fudge, she can make 3 pounds of fudge an hour, and if he devotes all her time to making to
lara [203]

Answer: If Ana produce more furge and Leo produce more toffee.

Step-by-step explanation:

Comparative advantage: A country or a person has a comparative advantage in producing a commodity if the opportunity cost of producing that commodity is lower in that country as compared to the other country.

Here Ana or Leo will gain comparative advantage only when they are selling the good they are specializing in and they would specialize in that good which would have lower opportunity cost for them.

(a) For Ana who devoted all of her time to making either 3 pounds of fudge or 2 pounds of toffee,

the opportunity cost for making 1 pound of furge is = 2/3 = 0.66

the opportunity cost for making 1 pound of toffee is = 3/2 = 1.5

(b) For Leo who devoted all of her time to making either 4 pounds of fudge or 5 pounds of toffee,

the opportunity cost for making 1 pound of furge is = 5/4 = 1.25

the opportunity cost for making 1 pound of toffee is = 4/5 = 0.8

Above calculations clearly shows that Ana has a comparative advantage in producing furge because opportunity cost of making furge is lower than the Leo, so he devotes most of his time to produce furge.

Whereas Leo has a comparative advantage in producing Toffee because opportunity cost of making toffee is lower than the Ana, so he devotes most of his time to produce toffee.

7 0
2 years ago
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