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Harrizon [31]
3 years ago
9

For what value of the variable is the value of the expression 2(3–5c) is 1 less than the value of the expression 4(1–c)?

Mathematics
1 answer:
amm18123 years ago
4 0

Answer:

c =1/2

Step-by-step explanation:

2(3–5c) = 4(1–c) -1

Distribute

6 - 10c = 4 -4c -1

Combine like terms

6 - 10c =3 -4c

Add 10c to each side

6-10c+10c = 3 -4c+10c

6 = 3+6c

Subtract 3 from each side

6-3 = 3-3+6c

3 = 6c

Divide by 6

3/6 =6c/6

1/2 =c

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A bike shop marks up a hybrid bike from $200 to $330 and discounts a road bike from 330 to 200 by what you percent is the road b
erik [133]

Answer:

39.39%

Step-by-step explanation:

There's a nice little formula that is used to find percentage change which works regardless of if it's an increase or decrease.

Percent~Change = |\frac{New~Value~-~Original~Value}{Original~Value}| * 100

1 - Understanding the equation

The '|'s which are surrounding the fraction are absolute value symbols in mathematics,

Absolute value means the positive value of anything inside

<u>Examples</u>:

| -8 | = 8

| 8 |  = 8

and

| -2 | = 2

| 2 |  = 2

the * 100 means you multiply (the * symbol means multiply) by 100.

We do this to get it into a percent.

3 - Assign numbers to the values from our equation

Original Value (What it changed from): 330

New Value (What it changed to): 200

3 - Plug in our values into our variables from our equationPercent~Change = |\frac{200-330}{330}| * 100 = |\frac{-130}{330}| = = |-0.39...| * 100 = 0.3939... *100 =

<em>Our percent change is 39.39%, and with our percent in which is discounted being the same, we have our answer.</em>

<em />

Hope this helps :)

7 0
3 years ago
2x^2+16x+42=0 what is the answer?
Debora [2.8K]

Answer:

no solution

Step-by-step explanation:

With some linear expressions, like this one, that has an answer of 0 has no solution

3 0
3 years ago
What is the difference between rate and unit rate
dalvyx [7]
Unit rate is in the quantity of one.
2/1 is a unit rate
6/3 is a rate
4/1 is a unit rate
4 0
4 years ago
An airplane flies from City A in a straight line to City B, which is 120 kilometers north and 180 kilometers west of City A. How
Lubov Fominskaja [6]

Answer: 216 kilometers

Step-by-step explanation:

You need the hypotenuse, this is the formula: h = √(a^2 + b^2)    

so...

√(120^2 + 180^2)

√(14400 + 32400)

√46800

216.33

5 0
3 years ago
What is the product in simplest form.
Alex787 [66]

Answer:

a)

-  \frac{9}{22}

7 0
3 years ago
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