1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vladimir [108]
3 years ago
10

The sum of 4 consecutive integers is 198. What is the fourth number in this sequence.

Mathematics
1 answer:
Georgia [21]3 years ago
7 0
Let x, x+1,x+2, x +3 are the <span>numbers
so
</span>x + x +1 + x +2 +x +3 = 198
4x + 6 = 198
4x =198-6
4x = 192
 x = 192/4
 x = 48
 x + 1 = 48 + 1 = 49
 x + 2 = 48 + 2 = 50
 x + 3 = 48 + 3 = 51

proof
48 + 49 + 50 + 51 = 198

so the numbers are 48, 49, 50, 51

fourth number in this sequence is 51
You might be interested in
A boy scout troop is selling Christmas trees at a local tree lot. In the morning, they sold 20 Douglas Fir trees and 23 Noble Fi
Katarina [22]

Answer:

The cost of 1 Douglas Fir Tree = $30

The cost of 1 Noble Fir Tree = $ 79

Step-by-step explanation:

Let the cost of 1 Douglas Fir tree =  $ x

Let the cost of 1 Noble Fir tree = $ y

Total Amount Earned in morning = $2,417

Total Amount Earned in evening = $2,022

Now, according to the question:

20 x + 23 y = 2417

and 20 x + 18 y = 2022

Subtraction both equation , we get

20 x + 23 y  - (20 x + 23 y)  = 2417 - 2022

or,  20x - 20x + 23 y - 18 y  = 395

or, 5 y = 395

⇒ y = 395 / 5 =  79

Hence, the cost of 1 Noble Fir Tree = $ 79

Now, put the value of y in 20 x + 23 y = 2417 , we get

20x + 23(79) = 2417

or, 20x = 2417 - 1817 = 600

or, x  = 600/20  = 30

Hence, the cost of 1 Douglas Fir Tree = $30

7 0
3 years ago
(-11/2+3)-2(11/4-5/2
Julli [10]

Answer: Hope this helps

-3

3 0
2 years ago
Whats the output when the input is 1234n and the output is 10 12 14 16.
Grace [21]

Answer:

y=2x+8

Step-by-step explanation:

Alright so, to find the equation, we need to find the slope first. We can do that by turning the input and output into coordinates.

(1,10) and (2,12)

To find the slope, we do:

\frac{12 - 10}{2 - 1}

Which equals to 2

So right now we can say that the equation is:

y=2x+b

In order to find b, the constant, we just need to plug in the y values and x value of a coordinate:

10=2(1)+b

10=2+b

8=b

So now we can say that the equation is:

y=2x+8

4 0
3 years ago
Translate please <br><br> The quotient of a number and the sum of the number and 5 is -2
julia-pushkina [17]
X/X+5=-2
please mark brainiest if this helped you out<span />
6 0
3 years ago
Can someone help me in this algebra question please 100% correct
Artist 52 [7]
The answer is the 3rd choice. The beginning temperature is -9 so you add the 7 to the -9 degrees to find the temperature at noon because it increased.
7 0
3 years ago
Other questions:
  • SAT scores are normally distributed, with a mean of 500 points and a standard deviation of 100 points. Suppose you take the SAT.
    11·2 answers
  • If manuel deposits 25% of 130 into a savings how much is the amount of his deposit
    15·1 answer
  • jason has 7 puzzles. quincy has the same number of puzzles as jason. how many puzzles do they have altogether?
    15·2 answers
  • Two cards are drawn at random from a standartd deck of 52 cards. what is the probability that both cards are aces?
    7·1 answer
  • Whats 907 divide by 6?
    10·1 answer
  • Find the slope of the line through the points (4,8) and (5,10).​
    8·1 answer
  • 8.55708 to the nearest cent
    8·2 answers
  • I need someone to solve for x and explain their steps, please!
    5·1 answer
  • Give You Brainiest b^(2)-c^(2)-10(b-c) Factor Completely
    5·1 answer
  • 55.37 was rounded to 2 decimal places.<br> What is the upper bound?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!