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ruslelena [56]
3 years ago
12

3x + 1 = 3(x - 1) + 4​

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
7 0

Simplifying

3x + 1 = 3[x + -1] + 4

Reorder the terms:

1 + 3x = 3[x + -1] + 4

Reorder the terms:

1 + 3x = 3[-1 + x] + 4

1 + 3x = [-1 * 3 + x * 3] + 4

1 + 3x = [-3 + 3x] + 4

Reorder the terms:

1 + 3x = -3 + 4 + 3x

Combine like terms: -3 + 4 = 1

1 + 3x = 1 + 3x

Add '-1' to each side of the equation.

1 + -1 + 3x = 1 + -1 + 3x

Combine like terms: 1 + -1 = 0

0 + 3x = 1 + -1 + 3x

3x = 1 + -1 + 3x

Combine like terms: 1 + -1 = 0

3x = 0 + 3x

3x = 3x

Add '-3x' to each side of the equation.

3x + -3x = 3x + -3x

Combine like terms: 3x + -3x = 0

0 = 3x + -3x

Combine like terms: 3x + -3x = 0

0 = 0

This equation is an identity, all real numbers are solutions.

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I cant solve this help –8x + 15 < 71
Ratling [72]

Answer:

x > -7

Step-by-step explanation:

Isolate the variable, x. Treat the < sign like an equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& roots)

Multiplication

Division

Addition

Subtraction

First, subtract 15 from both sides:

-8x + 15 (-15) < 71 (-15)

-8x < 71 - 15

-8x < 56

Next, divide -8 from both sides of the equation. Note that when you divide by a negative number, you must flip the sign:

(-8x)/-8 < (56)/-8

x < (56)/-8

x > -7

x > -7 is your answer.

~

6 0
3 years ago
Read 2 more answers
a gold and diamond bracelet sells for $1800 . find the sales tax and the total price if the sales tax rate is 5.5% .
Sergio [31]

Answer:

Sales Tax In Amount =$99

Total amount of purchase = $1899

Step-by-step explanation:

First, let's find sales tax price in amount(dollars)

(Total Amount)*(percentage of tax)/100=Tax in amount

(1800)*(5.5%)/100 = $99

Therefore, the sales tax in amount would equal to $99, which is the same as 5.5%.

Now, let's find the total price of the purchase.

$1800+$99= $1899

So, the total cost of the purchase would equal to $1899.

7 0
3 years ago
Monica can walk 3.8 kilometers in 40 minutes, and she can jog twice that distance in the same amount of time. How far could Moni
Elanso [62]
We know that
<span>Monica can walk 3.8 kilometers in 40 minutes
and
</span><span>she can jog twice that distance in the same amount of time
that means
in 40 minutes Monica can jog (3.8 km*2)-----> 7.6 km

1 hour=60 minutes
</span>by proportion<span>
7.6 km/40 minutes=x km/60 minutes
x=7.6*60/40----> x=11.4 km

the answer is
11.4 km</span>
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3 years ago
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It’s the sizes I’m pretty sure
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