Answer:
The 21st term is 137.
Step-by-step explanation:
Arithmetic progression:
In an arithmetic progression the difference between consecutive terms is always the same, and its called common difference.
The nth term is given by:

In which
is the first term and d is the common difference.
The first two terms are -3, 4.
This means that 
So


The 21st term is

The 21st term is 137.
Answer:
$46
Step-by-step explanation:
A percent is a portion of 100. If we receive 25% off then we pay 75% of the price. 100%-25%=75%. $34.50 is 75% of the original price. We find the new price through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare percent over percent to an equal ratio of $ to $.

I can now cross-multiply by multiplying numerator and denominator from each ratio.
I now solve for y by dividing by 75.
The original price was $46.
Answer:
0.52
Step-by-step explanation:
The computation of the percentage of the group in which none of the three sports watched is shown below:
= gymnastic percentage + baseball percentage + soccer percentage - gymnastic & baseball percentage - baseball & soccer percentage - gymnastic & soccer percentage + three sports percentage
= 0.28 + 0.29 + 0.19 - 0.14 - 0.12 - 0.18 + 0.08
= 0.48
Now the percentage is
= 1 - 0.48
= 0.52
Answer:
A & C
Step-by-step explanation:
To find the two expressions that are equivalent to 6.5 ÷ 1.3, you need to solve all of them until you get the two expressions that have a quotient of 5.
Let's begin solving!
65 ÷ 13 = 5
So now we know that A is one of our answers
65 ÷ 130 = 0.5
Not one of our answers because the quotient is not 5
650 ÷ 130 = 5
This is our other answer! We don't need to solve D because we only needed to find two expressions which are A and C.
Hope this helps you :)
Answer: 42
Step-by-step explanation:
if the bookstore has 64 copies,
yesterday it was sold 1/4 , so it was sold 64/4=16
today it was sold 1/8 from what remained, which is 6(see below)
64-16=48
48/8=6
the store has left 48-6=42