Answer:
7/9
Step-by-step explanation:
In order to write the fraction without any units (as a pure number), we must have units in the numerator and denominator that are the same. Then the units cancel.
<h3>Convert to gallons</h3>
We are given the conversion ...
4 quarts = 1 gallon
Multiplying by 7, we see ...
28 quarts = 7 gallons
<h3>Ratio</h3>
This lets us write the desired fraction as ...
(28 quarts)/(9 gallons) = (7 gallons)/(9 gallons) = 7/9
The ratio in simplest form is 7/9.
Answer:
3(12+27)
Step-by-step explanation: 3 can go into both of those numbers so u would just divide that by 3 with 36 and 81.
Answer:
a[n] = a[n-1]×(4/3)
a[1] = 1/2
Step-by-step explanation:
The terms of a geometric sequence have an initial term and a common ratio. The common ratio multiplies the previous term to get the next one. That sentence describes the recursive relation.
The general explicit term of a geometric sequence is ...
a[n] = a[1]×r^(n-1) . . . . . where a[1] is the first term and r is the common ratio
Comparing this to the expression you are given, you see that ...
a[1] = 1/2
r = 4/3
(You also see that parenthses are missing around the exponent expression, n-1.)
A recursive rule is defined by two things:
- the starting value(s) for the recursive relation
- the recursive relation relating the next term to previous terms
The definition of a geometric sequence tells you the recursive relation is:
<em>the next term is the previous one multiplied by the common ratio</em>.
In math terms, this looks like
a[n] = a[n-1]×r
Using the value of r from above, this becomes ...
a[n] = a[n-1]×(4/3)
Of course, the starting values are the same for the explicit rule and the recursive rule:
a[1] = 1/2
Answer:
everyone except his smaller siblings will be older than him
Step-by-step explanation:
if you need the correct answer say the full question you
dumb
To find the slope and y intercept, use the y=mx+b formula where m is the slope and b is the y intercept<span>.
</span><span>y=mx+b
</span>Pull the values of m and b using the y=mx+b formula<span>.
</span><span>m=7/2,</span>b=−2 where m is the slope and b is the <span>y-intercept</span>