I posted this yesterday but no one told me if my answers were correct.
Can someone please check my answers.
1. Solve. –7x + 1 + 8x = x + 1
A) Identity B) No solution C) 1 D) 0
My answer: A) Identity
2.The length of one of the equal legs of an isosceles triangle is 8 cm less than 4 times the length of the base. If the perimeter is 29 cm, find the length of one of the equal legs.
A) 11 cm B) 12 cm C) 5 cm D) 4 cm
My answer: B) 12cm
3. A home purchased for $300,000 depreciated 8% over a 1-year period. What was the value of the home after at the end of the year?
A) $274,000 B) $278,000 C) $272,000 D) $276,000
My answer: D) $276,000
4. Solve. 8x - 1 - x = 7x + 1
A) No solution B) 0 C) 1 D) Identity
My answer: A) No solution
5.Elaine was charged $195 interest for 1 month on a $1000 credit card balance. What was the monthly interest rate?
A) 20.5% B) 20% C) 19% D) 19.5%
My answer: D) 19.5%
Looks OK!
Thanks
you can get the breakdown and the answer on webmath and it explains how to work the proble out go under algebra and then inequalities
To check your answers, let's go through each question one by one:
1. Solve. –7x + 1 + 8x = x + 1
To solve this equation, we need to simplify and combine like terms.
-7x + 1 + 8x = x + 1
(8x - 7x) + 1 = x + 1
x + 1 = x + 1
Since the x term cancels out on both sides, we are left with the statement "1 = 1", which is always true. This means that the equation is an identity.
Your answer for this question is correct: A) Identity.
2. The length of one of the equal legs of an isosceles triangle is 8 cm less than 4 times the length of the base. If the perimeter is 29 cm, find the length of one of the equal legs.
Let's denote the length of the base as b and the length of one of the equal legs as l.
According to the given information, we can form the equation:
2l + b = 29
We also know that l = 4b - 8. Substituting this into the equation, we have:
2(4b - 8) + b = 29
8b - 16 + b = 29
9b - 16 = 29
9b = 45
b = 5
Now we can find the length of one of the equal legs:
l = 4b - 8
l = 4(5) - 8
l = 20 - 8
l = 12
Your answer for this question is correct: B) 12 cm.
3. A home purchased for $300,000 depreciated 8% over a 1-year period. What was the value of the home at the end of the year?
To calculate the value of the home after depreciation, we can multiply the original value by (1 - depreciation rate):
Value after depreciation = $300,000 * (1 - 0.08)
Value after depreciation = $300,000 * 0.92
Value after depreciation = $276,000
Your answer for this question is correct: D) $276,000.
4. Solve. 8x - 1 - x = 7x + 1
To solve this equation, let's simplify and combine like terms:
8x - 1 - x = 7x + 1
(8x - x) - 1 = 7x + 1
7x - 1 = 7x + 1
By subtracting 7x from both sides, we get -1 = 1. This is a contradiction, which means there is no solution to the equation.
Your answer for this question is correct: A) No solution.
5. Elaine was charged $195 interest for 1 month on a $1000 credit card balance. What was the monthly interest rate?
To find the monthly interest rate, we can divide the interest charged by the balance:
Monthly interest rate = (Interest charged / Balance) * 100
Monthly interest rate = (195 / 1000) * 100
Monthly interest rate = 19.5%
Your answer for this question is correct: D) 19.5%.
Overall, your answers are correct! Well done!