Option B
48th term of arithmetic sequence is -152
<h3><u>
Solution:</u></h3>
Given that a arithmetic sequence has explict formula,

To find: 48th term of the arithmetic sequence
The nth term of arithmetic sequence can be found by substituting the required value of n in the explict formula
So 48th term of the arithmetic sequence can be found by substituting n = 48 in explict formula

Plug in n = 48

On solving we get,

Thus 48th term of arithmetic sequence is -152
Answer
Find out the how many comic books does Jim have.
To proof
Let us assume that comic books Jim have be u.
Let us assume that comic books Charlie have be v .
Let us assume that comic books bob have be w .
As given
jim has three times as many comic books as Charlie
thus
u = 3v
Charlie has two thirds as many books bob.
Thus

bob has 27 books .
i.e w = 27
Put this in the equation


Solving
v = 18
thus
comic books Charlie has be 18 .
Put v = 18 in the u = 3v
u = 3 × 18
= 54
comic books Jim has be 54 .
Hence proved
The price of the burritos and tacos, using the system of linear equations, is equal to $32 and $26, respectively.
It is given that for a recent company party, Carmen spent $58 on one plate of burritos and one plate of tacos. For a company meeting, she spent $90 on two plates of burritos and one plate of tacos. We need to find the cost of each dish.
Let the costs of burritos and tacos be represented by the variables "x" and "y", respectively. We can write two equations, as given below.
x + y = 58
2x + y = 90
We will substitute the value of "y" from the first equation into the second equation.
y = 58 - x
2x + y = 90
2x + 58 - x = 90
x = 90 - 58
x = 32
Hence, the price of the burritos is $32. Now, we will substitute this value into the first equation.
y = 58 - x
y = 58 - 32
y = 26
Hence, the price of the tacos is $26.
The complete question is given below.
Carmen often orders fiesta trays from her favorite Mexican restaurant for company events. For a recent company party, she spent $58 on 1 plate of burritos and 1 plate of tacos. For a company meeting, she spent $90 on 2 plates of burritos and 1 plate of tacos. How much does each type of dish cost?
To learn more about equations, visit :
brainly.com/question/10413253
#SPJ9
Hi,thank you for posting your question here at Brainly.
Probability is a numerical value that represents a fraction of a whole. Since there are 4 samples indicated in row X, then there must be 4 probabilities corresponding to each. The sum of all those probabilities must equal to 1. With this information, we could already find the missing probability.
Summation of P = 1 = 0.40 + 0.20 + 0.20 + x
x = 1 - 0.4 - 0.2 - 0.2
x = 0.2 <-- missing probability
Answer:
it has to be 37.4 degrees or higher. An inequality would be X≥37.4
step-by-step explanation: