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3 years ago

Is 6x-8 equal to 2(3x-5)? Also, btw the x is a variable... not the multiplication sign.

2 answers:

8 0

No, it is not. Using the distributive property, multiply 2 to 3x and -5 to get 6x-10. 6x-8 does not equal 6x-10, they have the same coefficient by not the same constant.

Masja [62]3 years ago

4 0

No because 2(3x-5) is equal to 6x-10 not 6x-8

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3 years ago

A total of $6000 was invested, part of it at 3% interest and the remainder at 8%. If the total yearly interest amounted to $380,

Nastasia [14]

$ 2000 is invested at 3 % interest and $ 4000 is invested at 8 % interest

Solution:

Given that, total of $6000 was invested

Let "x" be the amount invested at 3 % interest

Then, (6000 - x) is the amount invested at 8 % interest

Given that,

The total yearly interest amounted to $380

Then, we can frame a equation as:

$x \times 3 \% + (6000 - x) \times 8 \% = 380$

Solve the above expression for "x"

$x \times \frac{3}{100} + (6000-x) \times \frac{8}{100} = 380\\\\0.03x + (6000-x) \times 0.08 = 380\\\\0.03x + 480 - 0.08x = 380\\\\-0.05x = -100\\\\\text{Divide both sides by -0.05 }\\\\x = 2000$

Thus, $ 2000 is invested at 3 % interest

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$ 4000 is invested at 8 % interest

4 0

4 years ago

What is the solution of the inequality shown below? c+6>-1

Ilia_Sergeevich [38]

Answer:

c > -7

Step-by-step explanation:

Isolate the variable c. What you do to one side, you do to the other. Subtract 6 from both sides:

c + 6 (-6) > -1 (-6)

c > -1 - 6

Simplify.

c > (-1 - 6)

c > - 7

c > -7 is your answer.

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4 years ago

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3 years ago

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The student council is selling cupcakes at the school play. The cost to make the cupcakes is a fixed $75 plus $0.17 per cupcak

dedylja [7]

Answer:

C = 75 + 0.17x and R = 2x

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Step-by-step explanation:

The cost to make the cupcakes is a fixed $75 plus $0.17 per cupcakes made and the selling price of each cupcake is $2.00.

Part A: Now, the equation for the cost, C, for making x cupcakes is

C = 75 + 0.17x ......... (1)

Again the equation for the revenue, R, from selling x cupcakes is

R = 2x ............ (2)

Part B: So, the inequality that could be solved to find the number of cupcakes, x, that must be made and sold to make a profit is

R - C > 0

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Part C: Solving inequality (3) we get

(2 - 0.17)x > 75

⇒ x > 40.98

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4 years ago