Answer:
x = 4 2/7
Step-by-step explanation:
2/3 x= -1/2x+5
Add 1/2 to each side
2/3 x 1/2 x = -1/2x+1/2x+5
2/3 x +1/2x =5
Get a common denominator
2/3x *2/2 + 1/2 *3/3 = 5
4/6x + 3/6x = 5
7/6x = 5
Multiply each side by 6/7 to isolate x
6/7 *7/6x = 5 *6/7
x = 30/7
Change to a mixed number
x = 28/7 + 2/7
x = 4 2/7
Answer:
a=c
Step-by-step explanation:
This is because of the transitive property; which states that if a=b and b=c, then a=c.
30 3/4 + 12 1/4 + 16 1/4 = 59 1/4
72 - 59 1/4 = 12 3/4
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Answer:
$165.38
Step-by-step explanation:
In the question, we are asked to work with percentages. We know that the person had bought three items of a total of 250 dollars (38 + 189 + 23). We are told that the items have a 30% discount, another 10% discount on that and a 5% tax increase on all of that.
First, let's work with the 30% discount. The official way of working out the problem you would use the unitary method. The unitary method is when we divide the total cost by 100. So 250/100, is 2.5. We multiply this by the remaining percent (100%- 30%=70%) so 2.5*70 is 175.
Then, we work with ten percent. The only difference is that instead of using the original price with are using the 30% discounted price. If we use the unitary method again we find that 175/100 is 1.75 and that multiplied by 90 (because we are only subtracting the 10% not 30%) is 157.50.
Finally, we do the same for the 5% percent only difference being we add it to 157.50. 157.50/100 is 1.575 and multiplied by 105 (because we are adding 5% onto 100% so it becomes 105%).
The final answer is 165.375 and when rounded to the nearest cent it becomes $165.38.
Answer:
Infinite decimals that do not repeat.
Step-by-step explanation:
Repeating decimals can be as fractions where the top and bottom are integers.
Examples: .3333333333333333333333333333333.... can be written as 1/3.
or .19191919191919191919..... can be written as 19/99.
Terminating decimals can also be written as fractions where the top and bottom are integers.
Examples: .11=11/100 or .161=161/1000
Any number that can be written as a fraction where the top and bottom are integers (bottom integer not 0)
is a rational number.
Repeating decimals are infinite. So what I think they mean by infinite here is numbers like
or
. There are not rational. They cannot be written as a fraction where the top and bottom are integers.