Answer 1:
It is given that the positive 2 digit number is 'x' with tens digit 't' and units digit 'u'.
So the two digit number x is expressed as,
The two digit number 'y' is obtained by reversing the digits of x.
So, 
Now, the value of x-y is expressed as:
So, 
is equivalent to (x-y).
Answer 2:
It is given that the sum of infinite geometric series with first term 'a' and common ratio r<1 = 
Since, the sum of the given infinite geometric series = 200
Therefore,
Since, r=0.15 (given)
a=170
The nth term of geometric series is given by 
.
So, second term of the series = 
= ar
Second term = 
= 25.5
So, the second term of the geometric series is 25.5
Step-by-step explanation:
Answer:
You will get 13 groups.
Step-by-step explanation:
324 / 24 = 13.5 So there are 13 groups with 5 left over. Hope this helps.
Answer:
As Given, x+y=w+z
To Prove: AOB is a line or x+y=180
∘
(linear pair.)
According to the question,
x+y+w+z=360
∘
∣ Angles around a point.
(x+y)+(w+z)=360
∘
(x+y)+(x+y)=360
∘
∣ Given x+y=w+z
2(x+y)=360
∘
(x+y)=180
∘
Hence, x+y makes a linear pair.
Therefore, AOB is a straight line
Answer: She should sell each T-Shirt for at least $4.41
Step-by-step explanation:
First you need to figure out what the total cost of the 200 t shirts was plus shipping. so 200 t shirts for 2.8 would cost $560 + a 5% shipping fee ($28) = 588 if she wants to markup by 150. you would then multiply 588 * 1.5 = $882. This would be the final money she wants to make by the end of her school carnival. Divide 882/200 (amnt of t-shirts) to get $4.41 per shirt
Answer:
45/1 and 180/41. True
2. False
3. False
Step-by-step explanation:
