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4 years ago

2(x-3) = (x-1) + 7 Please show your steps!!

Mathematics

2 answers:

melamori03 [73]4 years ago

7 0

2(x-3)=(x-1)+7
2x-6=x+6
x=12. Hope it help!

andre [41]4 years ago

6 0

Simplify the equation.

First, distribute the 2 in the left side of the equation.
Resulting in: 2x-6 = (x-1) + 7

Second, remove the parentheses form the right side of the equation (there is nothing to distribute there).
Resulting in: x - 1 + 7

Now simplify the right side of the equation by subtracting the 1 from the 7.
Resulting in: x + 6

Our goal is to isolate the x to the left side, and the numerals to the right side.
With that in mind, add the 6 (from the right side) to both sides. This cancels out the 6 on the right side.
Resulting in: 2x = 12

Lastly, in order to fully isolate the variable (x), we divide both sides by 2.
Resulting in: x = 6

Hope this helps.

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Find the value<br> any help

aev [14]

So if you put the into fractions it would mean that 6/7 = n/4.2. Then, you would cross multiply in order to get 6(4.2) = 7n. Next, you would simply and get that 25.2 = 7n. To get n by itself, you would then divide each side by 7. When dividing 25.2 by 7, you would get 3.6. 7n divided by 7 is equivalent to n. Therefore; n = 3.6.

8 0

3 years ago

You have$200in a savings account and $100 in a checking account. Each week you add $50 to your saving account and $30 to your ch

enyata [817]

Answer:

The expression is (80w+300)

Step-by-step explanation:

Let

y ----> the total amount of money in both accounts

s ----> the amount of money in saving account

c ----> the amount of money in checking account

w ----> the number of weeks

we know that

saving account

s=50w+200 -----> equation A

checking account

c=30w+100 ----> equation B

To find out the total amount of money in both accounts, sum equation A and equation B

y=s+c

substitute

y=(50w+200)+(30w+100)

y=(50w+30w)+(200+100)

y=80w+300

therefore

The expression is (80w+300)

5 0

3 years ago

Each week Sal runs 1.5 miles more than the week before. this week he ran 12 miles. how many weeks ago did he run 4.5 miles?

Vedmedyk [2.9K]

1.5, 3, 4.5, 6, 7.5, 9, 10.5, 12, he ran 4.5 miles 5 weeks ago

8 0

4 years ago

If a gambler places a bet on the number 7 in roulette, he or she has a 1/38 probability of winning.

SCORPION-xisa [38]

A) The mean would be 1.842 and the standard deviation would be 1.339.
b) It would not be unusually low.

Explanation
a) This can be modeled as a binomial distribution, since there are two outcomes (7 or not 7), the events are independent (getting a 7 on one spin does not influence the chance of a 7 on the next spin) and there are a fixed number of trials (70). In a binomial distribution, the mean is given by n*p, where n is the number of trials and p is the probability.

μ=n*p=70*(1/38) = 1.842.

The standard deviation of a binomial distribution is given by
σ=√(n*p*(1-p))=√(70(1/38)(37/38)=1.339.

b) To determine if this is unusually low, we find the probability:
$_nC_k\times p^n\times (1-p)^{k-n}
\\
\\=_{70}C_0\times (\frac{1}{38})^0\times \frac{37}{38}^{70}
\\
\\=0.15$

Since this is not below 0.05, we do not consider this unusual.

3 0

4 years ago

Two cards are drawn from a deck of 52 playing cards. The first card is replaced into the deck before the 2nd card is drawn. What

Firlakuza [10]

Answer:

1/676

Step-by-step explanation:

There are 52 cards

P(Ace of spades) = Number of aces of spades / total = 1/ 52

The replace the card

There are 52 cards

There are 4 kings

P(king) = number of kings / total = 4/52 = 1/13

P( ace of spades , replace, any king) = 1/52 * 1/13 = 1 /676

5 0

3 years ago