How many solutions exist for the given equation? 3(x – 2) = 22 – x zero one two infinitely many
Answers
An equation can either have a solution, no solution or infinite many solutions
The equation has one solution.
The equation is given as:
Open bracket
Collect like terms
Evaluate like terms
Divide both sided by 4
The above equation is true for x = 7
This means that: the equation has one solution.
Read more about equation solutions at:
Answer:
one solution
Step-by-step explanation:
Given
3(x - 2) = 22 - x ← distribute parenthesis on left side
3x - 6 = 22 - x ( add x to both sides )
4x - 6 = 22 ( add 6 to both sides )
4x = 28 ( divide both sides by 4 )
x = 7
Related Questions
What fraction is equivalent to 0.25
Helpppppppppppp hurryyyy
Use all four operations without parentheses to write an expression that has a value of 1.
If (s-3)^2=0, what is the value of (s+3) (s+5)?
O A. 1.05%
O B. 10.49%
O C. 4.91%
O D. 4%
Answers
Answer:
C. 4.91%
Step-by-step explanation:
The effect of frequent compounding is to increase the nominal interest rate by a small factor. For interest rates in a practical range (<20%/year), the effective increase in rate will be approximately half the original interest rate.
Approximation
For an interest rate of 4.8%, we expect the compounding to increase it by less than 2.4%. The maximum effective rate due to compounding is approximately (4.8%)(1 +2.4%) ≈ 4.91%.
Exact computation
For nominal annual rate r compounded n times per year, the effective annual rate is ...
r' = (1 +r/n)^n -1
For r = 0.048 and n = 12, this becomes ...
r' = (1 +0.048/12)^12 -1 = 1.004^12 -1 ≈ 1.049070208 -1 ≈ 4.91%
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Additional comment
After you have worked with interest compounding for a bit, you realize compounding increases the effective rate by a small amount. That means the value will be more than 4.8% (eliminating choices A and D), but certainly will not be as high as 10% (eliminating choice B). The only reasonable choice is C, which happens to be the correct one.
Hill's average rate is 55mph How long will it take them to meet? Give your wet in bo and sites
Answers
It will take them 3 hours to meet
Step-by-step explanation:
The given is:
- Jack and Jill live 345 miles apart from one another
- They want to meet for lunch and agree to leave the same time, drive toward each other, and meet somewhere along the route
- Jack's average rates 60 mph
- Jill's average rate is 55 mph
We need to find how long it will take them to meet
Distance = Speed × Time
∵ They will drive toward each other at the same time and meet
each other somewhere
- That means they will drive for the same time
∵ Jack's average rates 60 mph for t hours
∴ Jack will drive a distance = 60 × t = 60 t miles
∵ Jill's average rate is 55 mph for t hours
∴ Jill will drive a distance = 55 × t = 55 t miles
∵ The distance between Jack and Jill is 345 miles apart
- Add their distance above and equate the sum by 345
∴ 60 t + 55 t = 345
∴ 115 t = 345
- Divide both sides by 115
∴ t = 3 hours
It will take them 3 hours to meet
Learn more:
You can learn more about the word problems in brainly.com/question/3950386
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Answer:
15 inches by 16 inches
OR
1 foot 3 inches by 1 foot four inches
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10: the answer is 6 to 13
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Answers
If your question is r + 0.12 = 0.20 then do this:
Subtract 0.12 from both sides
r = 0.08
The answer is B.
If your question is r - 0.12 = 0.20 then do this:
Add 0.12 on both sides
r = 0.32
The answer is A
So it depends on your question :P
Then you get 0.20 - 0.12 on the right side of your equation, which equals 0.08.
C. r = -0.08
Hope I Helped!!!