Step 1: Add 3 to both sides.
2x-3+3=7+3
2x=10
Step 2: Divide both sides by 2.
2x/2=10/2
x=5
Answer:
Q1:
Share of the daughter (x):
2x + x + x + $1,000 = $9,000
4x = $8,000
x = $2,000
Share of the wife:
= 2($2,000)
= $4,000
Share of the son:
= $2,000 + $1,000
= $3,000
Answer: wife, $4,000; son, $3,000; daughter, $2,000
Q2:
= 1/2x + $1,000
Answer: 1/2x + $1,000: expression for share of the son
Proof (the wife shares $4,000):
Share of wife (x):
x + 1/2x + 1/2x + $1,000 = $9,000
2x = $8,000
x = $4,000
Step-by-step explanation:
hope it helps!
Answer:I’m doing this right now do u know the answer?
Step-by-step explanation:
Note: I am not 100% sure that this is the correct way to solve this problem. It is just my best attempt to help.
Keep in mind that every percentage can be made into a decimal. 12% = 0.12 because 12% is also 12/100 as a fraction.
Since a percentage is the original number multiplied by the percent, you can solve this problem by dividing the number given by the percent. Be sure to turn the percent into a decimal to make it easier. Your work should look like this:
12% = 0.12
1,000 / 0.12 = 8,333.33
That is the first step. How you have to finish the problem and find what 88% is. To do this, you can simply multiply 88%, or 0.88, times the answer you get in the first part. Your work should look like this:
88% = 0.88
0.88 * 8,333.33 = 7,333.33
Now to check your work, you can add 7,333.33 and 1,000 to see if it equal the total of 8,333.33
7,333.33 + 1,000 = 8,333.3
Since it is equal, this is your answer.
The sum of the first 8 terms is 2.51 to the nearest hundredth
Step-by-step explanation:
In the geometric sequence there is a constant ratio between each two consecutive terms
The formula of the sum of n terms of a geometric sequence is:
, where
- a is the first term
- r is the constant ratio between the consecutive terms
∵ The sequence is 6 , -5 , 25/6 , .............
∵ -5 ÷ 6 = 
∵ 
÷ -5 =
- There is a constant ratio between the consecutive terms
∴ The sequence is a geometric sequence
∵ The first term is 6
∴ a = 6
∵ The constant ratio is
∴ r =
∵ We need to find the sum of 8 terms
∴ n = 8
- Substitute the values of a, r and n in the rule above
∴ ![S_{8}=\frac{6[1-(\frac{-5}{6})^{8}]}{1-(\frac{-5}{6})}](https://tex.z-dn.net/?f=S_%7B8%7D%3D%5Cfrac%7B6%5B1-%28%5Cfrac%7B-5%7D%7B6%7D%29%5E%7B8%7D%5D%7D%7B1-%28%5Cfrac%7B-5%7D%7B6%7D%29%7D)
∴ 
- Round it to the nearest hundredth
∴ 
The sum of the first 8 terms is 2.51 to the nearest hundredth
Learn more:
You can learn more about the sequences in brainly.com/question/7221312
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