Ask question

Ask question

All categories

Anastaziya [24]

3 years ago

15

The sum of teresa's and Cathy's weight is 118 pounds Teresa weights 26 pounds more than Cathy. If teresa weight is t and Cathy w

eight is c, which of these systems of equations best represents this relationship A:T+C=118 B:T+C=118 T=26. T+36

1 answer:

Ann [662]3 years ago

4 0

Answer:

What dose your work say

Step-by-step explanation:

You might be interested in

Determine formula of the nth term 2, 6, 12 20 30,42

nalin [4]

Check the forward differences of the sequence.

If $\{a_n\} = \{2,6,12,20,30,42,\ldots\}$ , then let $\{b_n\}$ be the sequence of first-order differences of $\{a_n\}$ . That is, for n ≥ 1,

$b_n = a_{n+1} - a_n$

so that $\{b_n\} = \{4, 6, 8, 10, 12, \ldots\}$ .

Let $\{c_n\}$ be the sequence of differences of $\{b_n\}$ ,

$c_n = b_{n+1} - b_n$

and we see that this is a constant sequence, $\{c_n\} = \{2, 2, 2, 2, \ldots\}$ . In other words, $\{b_n\}$ is an arithmetic sequence with common difference between terms of 2. That is,

$2 = b_{n+1} - b_n \implies b_{n+1} = b_n + 2$

and we can solve for $b_n$ in terms of $b_1=4$ :

$b_{n+1} = b_n + 2$

$b_{n+1} = (b_{n-1}+2) + 2 = b_{n-1} + 2\times2$

$b_{n+1} = (b_{n-2}+2) + 2\times2 = b_{n-2} + 3\times2$

and so on down to

$b_{n+1} = b_1 + 2n \implies b_{n+1} = 2n + 4 \implies b_n = 2(n-1)+4 = 2(n + 1)$

We solve for $a_n$ in the same way.

$2(n+1) = a_{n+1} - a_n \implies a_{n+1} = a_n + 2(n + 1)$

Then

$a_{n+1} = (a_{n-1} + 2n) + 2(n+1) \\ ~~~~~~~= a_{n-1} + 2 ((n+1) + n)$

$a_{n+1} = (a_{n-2} + 2(n-1)) + 2((n+1)+n) \\ ~~~~~~~ = a_{n-2} + 2 ((n+1) + n + (n-1))$

$a_{n+1} = (a_{n-3} + 2(n-2)) + 2((n+1)+n+(n-1)) \\ ~~~~~~~= a_{n-3} + 2 ((n+1) + n + (n-1) + (n-2))$

and so on down to

$a_{n+1} = a_1 + 2 \displaystyle \sum_{k=2}^{n+1} k = 2 + 2 \times \frac{n(n+3)}2$

$\implies a_{n+1} = n^2 + 3n + 2 \implies \boxed{a_n = n^2 + n}$

6 0

2 years ago

У = 3х – 1<br>у = 3y= -13<br>

Elina [12.6K]

Answer:

y=1/3x-1/3

Step-by-step explanation:

6 0

3 years ago

What is the difference between normal score and standard score?

Karo-lina-s [1.5K]

Answer:

Difference between standard score and raw score

In statistics, the standard score is the number of standard deviations by which the value of a raw score (i.e., an observed value or data point) is above or below the mean value of what is being observed or measured.

Step-by-step explanation:

normal and rare are same

5 0

3 years ago

If the simple interest on $6,000 for 2 years is $840, then what is the interest rate?

ankoles [38]

Answer:

7 %

Step-by-step explanation:

i do not know if you use this but I use S.I=P×R/100×T
S.I=840
P for principal(the money you borrow or lend) =6000
T for time=2 years.
R for rate=???
In order to find out the rate, you need to substitute all these numbers into their respective places.
840=6000×r/100×2
6000/100=60
840=60×r×2
840=120r
r=7%

5 0

3 years ago

11. Robert photographs a lush forest of sea fans after diving 40 feet in the Reefs of

hichkok12 [17]

Sea level is 0

robert dives 40 ft.....-40
he then rises 23 ft.....-40 + 23 = -17
he then dives 19 ft to meet Sam....-17 - 19 = -36
together they rise 31 ft...-36 + 31 = - 5

they are 5 ft below sea level <==

8 0

3 years ago