Answer:
The first six terms of this arithmetic sequence are: 30, 32, 34, 36, 38, 40
Step-by-step explanation:
The nth term of an arithmetic sequence is given by:
In which d is the common difference, that is, each term is increased by d.
d = 2, Po= 30
First term is 30, each consecutive is increased by 2. So
30, 32, 34, 36, 38, 40
<u>Answer-</u>
<u>Solution-</u>
As we know that, on the number line, if a number is on the right of another number, then the former number is greater than the later number.
As, the number on the right side are 4, 5, ...so on (4 is dotted so it is included)
So the inequality will be 
As, the number on the left side are -3, -4, -5, ..... so on (-2 is not dotted so it is excluded)
So the inequality will be 
Then the compound inequality will be, 
The volume of 10 ounces of lemonade in litres is 0.295735 litres.
<h3>How to convert from ounces to litres?</h3>
He needs 10 ounces of lemonade.
To know the volume in litres, we have to convert from ounces to litres.
Therefore,
1 ounces = 0.0295735 litres
10 ounces = ?
cross multiply
volume in litres = 0.0295735 × 10
volume in litres = 0.295735
Therefore, the volume of the lemonade in litres is 0.295735 litres.
learn more on litres here: brainly.com/question/15322533
#SPJ1
From the title of your worksheet, you have to convert improper fractions to proper fractions. So, you see those two numbers on the top and the bottom separated by a line? Those are fractions. For example, 12/4 is an improper fraction.(I can't use the exact 'line' that separates it as its not on my keyboard, so I'm just using '/'.) In 12/4, 12 is 'on top'. The number on top is the numerator. And the number on the bottom, 4, is the denominator. 12/4 is an improper fraction as the numerator is bigger than the denominator. So, you can divide 12 by 4, giving you 3. 3 is a whole number as 12 could be divided by 4 without remainder, so that's your answer if you wanted to convert it into a proper fraction. That's just an example, though. Another example for things that have remainder when divided; let's use 13/4 for this example. 13 can't be divided by 4 perfectly, so you use the closest number that can be divided by 4, which is 12. But what happens to the the number left after using 12? 13-12=1. That's where the fraction comes along. The denominator was 4 in 13/4 so the proper fractions that you get is 3(the whole number) and 1/4(the one left after using 12).
So, for that example, your answer's 3 1/4.(note that the whole number should be bigger than the fraction when you write it out.)
Sorry for this really long answer. I didn't want to just give you the answer without you understanding it.
Anyway, for your questions in your worksheet.
I'm starting from question 1 and not the example question in your worksheet.
1) 4 5/8
2) 10 3/10
3) 6 2/4
Or in simplest form if required: 6 1/2
4) 3 1/3
5) 5 3/8
6) 3 6/7
7) 10 9/10
8) 7 1/3
9) 7 4/5
10) 2 4/5
11) 4 1/2
12) 5 1/3
13) 9 2/8
Or in simplest form if required: 9 1/4
14) 5 2/3
15) 8 9/10
16) 8 3/4
17) 10 1/6
18) 1 2/6
19) 7 3/6
20) 10 7/10
( I put some spaces between the whole numbers and fractions so that it's not too complicating.)
I apologize if I made any mistakes ^^;;
Happy learning! :)
