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3 years ago

Solve the equation 6.8x + 9.3 = -9.4 + 3.4 (2-5x)

Mathematics

2 answers:

STatiana [176]3 years ago

7 0

Answer:

x = -.5

Step-by-step explanation:

6.8x + 9.3 = -9.4 + 3.4 (2-5x)

Distribute the 3.4

6.8x + 9.3 = -9.4 + 6.8 - 17x

Combine like terms

6.8x + 9.3 = -2.6 -17x

Add 17x to each side

6.8x+17x + 9.3 = -2.6-17x+17x

23.8x +9.3 = -2.6

Subtract 9.3 from each side

23.8x +9.3-9.3 = -2.6-9.3

23.8x = -11.9

Divide by 23.8

23.8x/23.8 = -11.9/23.8

x = -.5

neonofarm [45]3 years ago

3 0

Answer:

Step-by-step explanation:

$6.8x + 9.3 = -9.4 + 3.4 (2-5x)\qquad\text{multiply both sides by 10}\\\\68x+93=-94+34(2-5x)\qquad\text{use distributive property}\\\\68x+93=-94+(34)(2)+(34)(-5x)\\\\68x+93=-94+68-170x\\\\68x+93=-26-170x\qquad\text{subtract 93 from both sides}\\\\68x=-119-170x\qquad\text{add 170x to both sides}\\\\238x=-119\qquad\text{divide both sides by 238}\\\\x=-\dfrac{119}{238}\\\\\boxed{x=-\dfrac{1}{2}}$

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Answer: 113, 57, and 66

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3 years ago

Find the difference: 2(x-2) - 3(x-4)

cluponka [151]

Answer:

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Step-by-step explanation:

2(x-2) - 3(x-4)

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2(x-2)-3(x-4)

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Distribute:

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2x-4-3x+12

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4 0

2 years ago

The Martinez family went to the movies and paid $60 for two adult tickets and three children’s tickets. The Wright family consis

Pepsi [2]

Answer:

a = $13.5

Step-by-step explanation:

Let a = adult tickets

Let c = children tickets

Translating the word problem into an algebraic equation;

For the Martinez family;

2a + 3c = $60

For the Wright family;

3a + 5c = $95.5

Thus, the simultaneous equations are;

$2a + 3c = $60$ ..........equation 1

$3a + 5c = $95.5$ .........equation 2

We would use substitution method to solve;

From equation 2, we make a the subject of formula;

3a = 95.5 - 5c

a = (95.5 - 5c)/3

Substituting the value of "a" into equation 1, we have;

2[(95.5-5c)/3] + 3c = 60

Multiplying all through by 3;

2(95.5 - 5c) + 9c = 180

191 - 10c + 9c = 180

191 - c = 180

c = 191-180

c = $11

To find the value of a;

2a +3c = 60

Substituting the value of "c" into the equation, we have;

$2a + 3(11) = 60$

$2a + 33 = 60$

$2a = 60 - 33$

$2a = 27$

$a = \frac{27}{2}$

a = $13.5

Therefore, the cost of an adult movie ticket is $13.5.

5 0

2 years ago

What is the value of k?

AlladinOne [14]

So first, you want to find that top angle Y. You can do this by subracting 115 from 180 giving you 65. Next I started searching for K. After inserting numerous numbers into the equation I found that 10 gave me the answer as shown below.

180 - 115 = 65

4(10) + 5 = 45

6(10) + 10 = 70

70 + 65 + 45 = 180

Add those together and you get 180 degrees, which is always the total number of degrees for a triangle. So your answer is 10.

Hope this helps! <3

4 0

3 years ago