Let's say the amount of nickels you have is hmm "n"
and the amount of dimes you have is "d"
there are 5cents in one nickel, so, if "n" is the total amount of nickels you have, that means 5 * n cents or 5n
there are 10cents in one dime, so, if "d" is the total amount of dimes you have, that means 10*d or 10d
whatever 5n and 10d are, we know that their sum is 595
since the total amount the counter said you have is, only 595 cents
thus 5n + 10d = 595
solve for either, "d" or "n", and graph that
what are three likely combinations? well, just pick three points off that graph
Answer:
1/2, 2/7, 5/6, 4/2
Step-by-step explanation:
Answer:
a) The table of values represents the ordered pairs formed by the elements of the sequence (
) (range) and their respective indexes (
) (domain):

1 6
2 11
3 16
4 21
5 26
b) The algebraic expression for the general term of the sequence is
.
c) The 25th term in the sequence is 126.
Step-by-step explanation:
a) Make a table of values for the sequence 6, 11, 16, 21, 26, ...
The table of values represents the ordered pairs formed by the elements of the sequence (
) (range) and their respective indexes (
) (domain):

1 6
2 11
3 16
4 21
5 26
b) Based on the table of values, we notice a constant difference between two consecutive elements of the sequence, a characteristic of arithmetic series, whose form is:
(1)
Where:
- First element of the sequence.
- Arithmetic difference.
- Index.
If we know that
and
, then the algebraic expression for the general term of the sequence is:

c) If we know that
and
, then the 25th term in the sequence is:


The 25th term in the sequence is 126.
One way to compare is to find the price per gallon.
$24 for 4 gallons = 24÷4 = $6 per gallon
8 pack of 1 qt bottle give you 2 gallons (4qts= 1 gallon) So you get 2 gallons for $16
$16 ÷ 2 = $8.00 per gallon. Sweet and Sour has the higher unit price.
Even if we compare the price per quart we will get the same answer as to who is selling it at the higher unit price.
4gal for $24 = 16 quarts for $24 ( 1 gallon = 4 qts)
$24 ÷ 16 = $1.50 each (1

)
vs.
8 quarts for $16 $16 ÷ 8 = $2.00 per qt. Sweet and sour still has the higher unit price
Using a system of equations, it is found that the three consecutive even integers are -8, -6 and -4.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the three consecutive even integers are represented by:
n, n + 2, n + 4
The first integer is two times the third, hence:
n = 2(n + 4)
2n + 8 = n
n = -8
Thus:
n = -8
n + 2 = -8 + 2 = -6
n + 4 = -8 + 4 = -4
The integers are -8, -6 and -4.
To learn more about system of equations, you can take a look at brainly.com/question/26650649