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andrey2020 [161]
3 years ago
11

What is the value of x in the equation 3x - 4 (2x - 5) = 15

Mathematics
2 answers:
Rufina [12.5K]3 years ago
6 0

Answer: x = 1

Step-by-step explanation:

<u>Given</u>

3x - 4 (2x - 5) = 15

<u>Expand parentheses and apply the distributive property</u>

3x - 4 · 2x - 4 · (-5) = 15

3x - 8x + 20 = 15

<u>Combine like terms</u>

(3x - 8x) + 20 = 15

-5x + 20 = 15

<u>Subtract 20 on both sides</u>

-5x + 20 - 20 = 15 - 20

-5x = -5

<u>Divide -5 on both sides</u>

-5x / -5 = -5 / -5

\boxed{x=1}

Hope this helps!! :)

Please let me know if you have any questions

Zepler [3.9K]3 years ago
3 0

Hey there! I'm happy to help!

Here is our equation

3x - 4 (2x - 5) = 15

First, we will sue the distributive property to remove the parentheses. The term outside the parentheses is -4, so that is what we multiply the insides by.

3x-8x+20=15

We combine our like terms (our x-values).

-5x+20=15

We subtract 20 from both sides.

-5x=-5

We divide both sides by -5.

x=1

Have a wonderful day and keep on learning! :D

You might be interested in
What is 3x3-45 divided by (4+1)
Lorico [155]

Answer:

3x3-45÷(4+1) is 0.

Step-by-step explanation:

We have to do order of operations so we follow PEMDAS:

P is for Parentheses so we do what's in parentheses first:

(4+1)=5

E is for Exponents but we don't have exponents.

Next is M and D for Multiplication and Division. We have division before multiplication so we should do division first:

45÷5=9

We now have multiplication:

3x3=9

Now we have A and S for addition and subtraction

We don't have addition so we'll do subtraction:

9-9=0

The final answer is 0.

Hope this helps! :)

<h3>CloutAnswers</h3>
5 0
3 years ago
Read 2 more answers
I WILL GIVE 100 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT.What is the solution to the inequality 3+5/7x&gt;1+x?
harina [27]

Answer:

C: X <= 7

Step-by-step explanation:

Reimagine the inequality as

3 - 1 >= X - 5/7*X

2 >= 2/7*X

1 >= 1/7 * X

7 >= X

8 0
3 years ago
This is really confusing. Thanks for helping.
Mandarinka [93]
Count change of signs to tell positive roots
then replace x with -x and evaluate, then count change in sign for negative roots


initially
+, -, -, +, +, -
3 changes
3 or 1 positive roots


replacing x with -x
-,-,+,+,-,-
2 changes
2 or 0 negative roots



B is answer
5 0
3 years ago
A and B are independent events. If P(A) = 0.50 and P(A and B) = 0.20, find P(B).
rewona [7]

The independent events are illustrations of probability, and the value of P(B) is 0.40

<h3>How to determine the value of P(B)?</h3>

The given parameters are:

P(A) = 0.50

P(A and B) = 0.20

Two events A and B are independent, if

P(A and B) = P(A) * P(B)

So, we have:

0.50 * P(B) = 0.20

Divide both sides by 0.50

P(B) = 0.40

Hence, the value of P(B) is 0.40

Read more about probability at:

brainly.com/question/25638875

#SPJ1

5 0
2 years ago
Can someone please help me with these questions thank you
saul85 [17]

Answer:A) What are the side lengths of the original triangle, ABC?

B) What are the side lengths of the enlarged, A’B’C?

C) Calculate the area and the perimeter of A’B’C.

7 0
3 years ago
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