The next number in the series is 30.
<h3>What is series?</h3>
It should be noted that series simply means the operation of adding values together in a data set.
In this case, it can be seen that the numbers are interchangeable between 30 and 31.
In this case, since 31 was the last number, the next number will be 30.
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2) Larger triangle is twice as large as the smaller one so x is 16
3) 16/12.8= 1.25 (This is the scale factor)
for y: 10/1.25=8
for x: 30/1.25=16
4) 8/6.4=1.25 (Scale factor)
for y: 14/1.25=11.2
for x: 15/1.25= 12
5) 22.5/9= 2.5 (scale factor)
for x: 12x2.5=30
for y: 35/2.5= 14
6) No because the scale factor is 2 but 14/8 does not equal to 2
Answer:
it would be 12
Step-by-step explanation:
Applying the knowledge of quotient and fractions, we have:
The number of soda each person will drink is:
glasses.
The fraction of sugar to be used per cupcake is:
<h3>
Quotient of Two Numbers</h3>
- Quotient means the result of dividing two numbers.
- For example, the quotient of a and b is, a ÷ b = a/b.
Problem 1:
The expression that matches the situation is: 7 ÷ 3 (quotient of 7 and 3)
7/3 = 
The number of soda each person will drink is:
glasses.
Problem 2:
The expression that matches the situation is: 8 ÷ 5 (quotient of 8 and 5)
8/5 = 
The fraction of sugar to be used per cupcake is:
Learn more about quotient on:
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Answer:
x=2
Step-by-step explanation:
<u>Question: 4(2-x)+15=3(x+3)</u>
<u />
1) Distribute 4 to 2 and -x:
8-4x+15=3(x+3)
2) Distribute 3 to x and 3:
8-4x+15=3x+9
3) Combine alike terms:
23-4x=3x+9
4) Add 4x to both sides:
23=7x+9
5) Subtract 9 from both sides:
7x=14
6) Divide both sides by 7:
x=2
Footnotes:
- The <em>Distributive</em> property says a(b+c)=ab+ac