The common difference between each term is -5. The nth term of the sequence as follows: aₙ = 18 - 5(n-1)
The given sequence is 18, 13, 8, 3, -2.
To identify the pattern in the sequence, we can observe that each term is decreasing by 5. Starting from 18, we subtract 5 to get the next term, and so on. The common difference between each term is -5.
Using this pattern, we can continue the sequence as follows:
-2 - 5 = -7
-7 - 5 = -12
-12 - 5 = -17
-17 - 5 = -22
The extended sequence would be -2, -7, -12, -17, -22.
In terms of the general formula, we can represent the nth term of the sequence as follows:
aₙ = 18 - 5(n-1)
For more such questions on sequence
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Jacob's job pays him $12.50 per hour. Which equation can be used to find Jacob's salary,
y, if he works for x hours? *
(5 Points)
A. y = x/12.50
B.y = 12.50 + x
.
C.y = 12.50 - x
D.y = 12.50x
Answer:
D
Step-by-step explanation:
Answer:
idek I mean you did it to me so lol
-0.4 divided by 0.25
In New Jersey the highest elevation is 1,803 feet above sea level and the lowest elevation is-2 feet below sea level. What is the difference in elevations?
Answer:
1805 feet
Step-by-step explanation:
1803-(-2)
1805
5.1 x 10
Please help
Answer:
51
Step-by-step explanation:
Because 5.1 times ten equals 51 because if you times ten by 5 u get 50 and then do .1 times ten you get 1
I
- Marissa is trying to lose some weight. So far she has lost 13 pounds. Her goal is
to lose 51 pounds. She is on a calorie counting plan that will allow her to lose
2 pounds a week. What is the minimum number of weeks she must follow her
plan before she hits her goal?
Answer:
6
Step-by-step explanation:
1. Tommy washes the neighbors' windows to earn money.
He earns $63 for 6 hours of washing windows.
a. At what unit rate (dollars/hour) does Tommy get paid?
b. Complete the table to show how much he earns for various numbers of hours of washing
windows
Time (hours)
Earnings ($)
2
6
63
10
Answer:
divide 63 by 6 with is 10.50 so he earns 10.5 dollars the hour then if he works 2 hours just multipley 10.5 by 2
convert 3x- y=7 to slope intercept form
Answer:
y = 3x - 7
Step-by-step explanation:
-y = -3x + 7
divide both sides by -1 to get rid of the negatives
y = 3x - 7
6x + 9 =27 (I need help please )
Answer:
X=3
Step-by-step explanation:
6x=27-9
6x=18/6
x=3
Answer:
x=3
Step-by-step explanation:
Alrighty lets begin.
First, subtract 9 from 9 and from 27. Your equation will look like:
6x=18
Now, divide 6 from 6x and from 18. It would look like:
6x/6 = 18/6
Then cancel out the 6's.
And finally, simplify 18/6 and you get 3.
Your answer is x = 3
<<Please mark Brainliest if possible ;) have a nice day!>>
x - y = 5 in slope intercept form
Step-by-step explanation:
Hey there!
Given;
x-y = 5
Slope intercept form: y = mx+c.
Now try to make it in y= mx+c form.
Take"-y" to right side and and 5 to left side.
x-5= y
Therefore, y = x-5
Hope it helps..
Asap need help um plz help
Answer:
3/5
-----------------
the answer is the first one, 3/3.
An equation is modeled.
What value of x makes the equation true?
1
7
-5
-1
Why would someone choose to use a graphing calculator to solve a system of linear equations instead of graphing by hand? Explain your reasoning
Answer:
A graphing calculator is more accurate than graphing by hand. If the slope and/or y-intercept is a fraction or decimal, it is more difficult to accurately graph by hand.
d)) The ratio of the monthly income and expenditure of Sunayana is 5 : 3. If she
increases her income by Rs 5,000 and decreases the expenditure by Rs 3,000, the
new ratio becomes 5:2. Find her income and expenditure.
Answer:
Sunayana's income is ₹25000 and expenditures are ₹15000.
Step-by-step explanation:
Let i denote the monthly income and e denote the expenditures.
We know that the ratio of the monthly income to expenditure is 5:3. So, we can write the following proportion:
[tex]\displaystyle \frac{i}{e}=\frac{5}{3}[/tex]
Let's multiply both sides by e. This yields:
[tex]\displaystyle i=\frac{5}{3}e[/tex]
We know that when the income is increased by 5000 and the expenditures are decreased by 3000, the new ratio is 5:2. So, we can write the following proportion:
[tex]\displaystyle \frac{i+5000}{e-3000}=\frac{5}{2}[/tex]
Let's multiply both sides by [tex](e-3000)[/tex]:
[tex]\displaystyle i+5000=\frac{5}{2}(e-3000)[/tex]
Since we know that [tex]i=\frac{5}{3}e[/tex], substitute:
[tex]\displaystyle \frac{5}{3}e+5000=\frac{5}{2}(e-3000)[/tex]
So, let's solve for the expenditures. Distribute the right:
[tex]\displaystyle \frac{5}{3}e+5000=\frac{5}{2}e-7500[/tex]
Subtract [tex]\frac{5}{2}e[/tex] from both sides:
[tex]\displaystyle -\frac{5}{6}e+5000=-7500[/tex]
Subtract 5000 from both sides:
[tex]\displaystyle -\frac{5}{6}e=-12500[/tex]
Multiply both sides by -6/5. So, the expenditures are:
[tex]e=\text{Rs }15000[/tex]
We can use the original ratio to find Sunayana's income:
[tex]\displaystyle i=\frac{5}{3}e[/tex]
Substitute 15000 for e. Evaluate:
[tex]\displaystyle i=\frac{5}{3}(15000)=\text{Rs }25000[/tex]
So, Sunayana's income is ₹25000 and expenditures are ₹15000.
And we're done!
Answer: Income = 25000, Expenditures = 15000
Step-by-step explanation:
A ratio of 5:3 can also be written in fraction form as [tex]\dfrac{5}{3}[/tex] (which is in simplified format from [tex]\dfrac{5x}{3x}[/tex]).
Adding 5000 to 5x results in 5x + 5000
Subtracting 3000 from 3x results in 3x - 3000
--> [tex]\dfrac{5x+5000}{3x-3000}[/tex]
The new ratio of 5:2 can be written in simplified fraction form of [tex]\dfrac{5}{2}[/tex].
Set the fractions equal to each. Then cross multiply and solve for x.
[tex]\dfrac{5x+5000}{3x-3000}=\dfrac{5}{2}[/tex]
5(3x - 3000) = 2(5x + 5000) Cross multiplied
15x - 15000 = 10x + 10000 Distributed
5x - 15000 = 10000 Subtracted 0x from both sides
5x = 25000 Added 15000 to both sides
x = 5000 Divided 5 from both sides
The original ratio of 5 : 3 --> 5x:3x
where 5x is the income and 3x is the expenditures results in:
income = 5x expenditures = 3x
= 5(5000) = 3(5000)
= 25000 = 15000
Convert 8 centimeters to millimeters.
Answer:
80mm
Step-by-step explanation:
As 1 cm = 10 mm
8 cm=80 mm
Answer:
80 millimeters
Step-by-step explanation:
Well you convert it
is the ecosystem going down bc of pollution
Answer: yes. but luckily we have vsvo girls who are going to save the world. still waiting for them tho.. where did they go? are they hibernating or sum?
Step-by-step explanation:
Gabriella had some candy to give to her four children. she first took seven pieces for herself and then evenly divided the rest among her children. each child received two pieces. with how many did she start with
A) 15
B)13
C)16
D)30
Answer:
The answer is 15
Step-by-step explanation:
because it is 2 two each child and there are four and the mom has 7
Jim is investing in the stock market. Jim is hoping to earn $2,000 in interest in order to take a trip to Mexico. Stock A earns 4% interest and Stock B earns 7% interest, and Jim has a total of $32,000 to invest. How much should he invest in each in order to earn $2,000 interest?
Given:
Total amount for investment = $32000
Rate of interest for Stock A = 4%
Rate of interest for Stock B = 7%
Jim is hoping to earn $2,000 in interest.
To find:
The amount of investments in Stock A and Stock B.
Step-by-step explanation:
Let amount of investments in Stock A = $x
Amount of investments in Stock B = $y
Total amount for investment = $32000
[tex]x+y=32000[/tex] ...(i)
Rate of interests in Stock A and Stock B are 4% and 7%. Total interests is $2000.
[tex]0.04x+0.07y=2000[/tex] ...(ii)
From (i) and (ii), we get
[tex]0.04x+0.07(32000-x)=2000[/tex]
[tex]0.04x+2240-0.07x=2000[/tex]
[tex]-0.03x=2000-2240[/tex]
[tex]-0.03x=-240[/tex]
Divide both sides by -0.03.
[tex]x=\dfrac{-240}{-0.03}[/tex]
[tex]x=8000[/tex]
Put x=8000 in (i).
[tex]8000+y=32000[/tex]
[tex]y=32000-8000[/tex]
[tex]y=24000[/tex]
Therefore, the amount of investments in Stock A and Stock B are $8000 and $24000 respectively.
It was -8°F in the morning. The temperature increased throughout the day, and in the afternoon, it was 11°F. How much did the temperature change?
Answer:
19
Step-by-step explanation
This is simple
I will teach you a simple technique
Count them, don't count the -8
-8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11
You are just subtracting, but instead counting.
I said not to count -8, because normally in subtraction, we normally don't count the number we are subracting.
for example
8 - 7 = 1
so counting technique
8 - 7, 6, 5, 4, 3, 2, 1
there are 7 numbers, if i didn't count the 8
so it is right.
hope you understand :-)
Point Ris on line segment QS. Given QR = 3x – 8, QS = 3x, and
RS = 2x, determine the numerical length of RS.
Answer: RS
Submit Answer
attempt 1 out of 2
Answer:
RS = 8
Step-by-step explanation:
Given that R is on QS , then
QR + RS = QS , substitute values
3x - 8 + 2x = 3x , that is
5x - 8 = 3x ( subtract 3x from both sides )
2x - 8 = 0 ( add 8 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
Thus
RS = 2x = 2 × 4 = 8
Maria makes $6.00 an hour plus 5% commission for telephone sales. Yesterday, Maria worked 8 hours and had sales of $600.00. How much did Maria make yesterday? Explain your answer.
Answer:
21
Step-by-step explanation:it's 22222222211111211111112211
Which equation shows a proportional relationship between x and y a) y=2×+1 b) y+4×=8 c) y=5×
Nick is making a fruit salad. He buys apples for $1.29 per pound and oranges for $1.35 per pound. He spends no more than $12. Let x represent the number of pounds of apples that Nick buys. Let y represent the number of pounds of oranges that Nick buys. Which inequality represents this situation? 1.29x+1.35y<12 1.29x+1.35y≥12 1.29x+1.35y>12 1.29x+1.35y≤12
Answer:$15.95
Step-by-step explanation:
You have to Add to get your answer I'll show you how I got $15.93:
1.29+1.29=$2.58
2.58+1.35=$3.93
3.93+12=$15.93
Your answer is:$15.93
hope this was helpful:)
3-8
18
Which expressions equivalent to
Select all that apply.
1
A
34
1
B
312
C 3-4
D 32
E
1
32
F 3-12
Answer:
A and C
Step-by-step explanation:
When you are dividing exponents you subtract. So for this problem -8 - -4 = -8 + 4 = -4. This means that the new exponent would be -4.
When you have a negative exponent, the equation is a fraction. As an example x^-5 would be equal to 1/x^5. For this equation, since you know that the new exponent is -4, an equivalent equation would be 1/3^4.
Hope this helps
At the movies, children's tickets are $6 each and adults' tickets are $10 each. Shandra buys 14 tickets. Let a be the number of adults going to the movies. Enter an algebraic expression in the box to represent the total price Shandra pays. Do not include the dollar sign in your answer.
Answer:
y=6x+10aStep-by-step explanation:
let the number of children be x
and the number of adults be a
let the total price be y
given that children tickets are $6 each
also, an adult ticket is $10
x+a=14-------1
y=6x+10a----2
Therefore the expression for the total price can be expressed as
y=6x+10aAnswer:
10a + 6(14-a)
Step-by-step explanation:
Can't offer an explanation right now, Ill come back later and add it.
I had this same problem, this is the correct answer.
A lion runs 50 mph and a cheetah runs 74 mph. How far does the cheetah run in the time it takes the lion to run 75 miles? heLp plEaz
Answer:
I belive it is 99 but am not sure
Step-by-step explanation:
The cheetah runs 24 mph faster than the lion
Answer: 111 miles
Step-by-step explanation: I’m bad with explanations...
The work W required to move a particle from a far distance to within radius r of another particle varies jointly as the product of the two particles' charges q1 and q2 and inversely as the radius r. Write a formula that models this proportion. (Use k as the constant of variation.)
Answer:
W = kq1q2 / r
Step-by-step explanation:
W varies jointly as the product of q1 and q2 and inversely as radius r
Product of q1 and q2 = q1q2
W = (k*q1"q2) / r
W = kq1q2 / r
Where,
W = work
q1 = particle 1
q2 = particle 2
r = radius
k = constant of proportionality
The answer is W = kq1q2 / r
Using proportions, it is found that the formula is:
[tex]W = k\frac{q_1q_2}{r}[/tex]
Work varies jointly as the charges, thus, the charges are in the numerator.Inversely as the radius, thus, the radius is in the denominator.There is a constant of proportionality k, which multiplies the fraction;Then, the formula is:
[tex]W = k\frac{q_1q_2}{r}[/tex]
A similar problem is given at https://brainly.com/question/18131403
what is the answer for x/1.2=-7
Answer:
x = -8.4
Step-by-step explanation:
You do the inverse operations:
The inverse of division is multiplication, so:
x/1.2 = -7 (x 1.2) - multiply by 1.2
x = -8.4
ASAP!Hey I’m confuse help!! 10 points
Answer:
i think you got them right
Step-by-step explanation:
The monthly mean salaries and standard deviations of four college students are given below.
Student
Clarissa
Abi
Kaila
Shenika
Mean
$345
$598
$812
$208
Standard Deviation
12.53
8.99
15.29
7.67
Which statement must be true?
O The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.
O The monthly salary of Kaila is less spread out than the monthly salary of Abi.
O The monthly salary of Abi is less spread out than the monthly salary of Shenika.
The monthly salary of Clarissa is less spread out than the monthly salary of Abi.
Answer:
The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.
Answer:
A) The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.
Step-by-step explanation:
I took the test on edge
The world’s two highest dams are both in Tajikistan. The Rogun dam is
35 meters taller than the Nurek dam. Together they are 635 meters tall. Find the
height of the Nurek dam.
Answer:
300 meters
Step-by-step explanation:
635-35
=600
600/2
300