Write an equation for the nth term of the arithmetic sequence −15, −33, −51, −69, .... An equation for the nth term of the
Given:
The arithmetic sequence is −15, −33, −51, −69.
To find:
The nth term of the arithmetic sequence.
Solution:
We have,
−15, −33, −51, −69
Here,
First term: a = -15
Common difference is
[tex]d = -33-(-15)[/tex]
[tex]d = -33+15[/tex]
[tex]d = -18[/tex]
Now, nth term of an arithmetic sequence is
[tex]a_n=a+(n-1)d[/tex]
Substitute a=-15 and d=-18.
[tex]a_n=-15+(n-1)(-18)[/tex]
[tex]a_n=-15-18n+18[/tex]
[tex]a_n=-18n+3[/tex]
Therefore, the nth term of the given arithmetic sequence is [tex]a_n=-18n+3[/tex].
Lena told her mother that the jeans that she bought were on sale for 10 percent off and she had saved $8.25 on them.
Answer:
$82.5
Step-by-step explanation:
Step one:
Given that the percent of which is 10% amount to $8.25
We can estimate the of the Jeans as
Step two
Let the cost be x
10 percent of x= 8.25
10/100*x=8.25
0.1x=8.25
Divide both sides by 0.1 to get the value of x
x=8.25/0.1
x=$82.5
The cost of the jeans is
$82.5
Summit provides patrol 6 (grade 6) with $85 to spend on the snacks. Will the amount of money be enough to cover the total cost of all of patrol 6's groceries?
Answer: yes
Step-by-step explanation: smart werewolf.
Evaluate the follow expression. Use x = 3, y = 6
3 (x + y)
Answer:
3(x+y)=27
Step-by-step explanation:
3(x+y)
3(3+6)
3(9)
27
Which of the following is NOT equivalent to
the value - 2/3.
A. -2/3
B. -2/-3
C. 2/-3
D. All values are equivalent.
Answer:
B
Step-by-step explanation:
james rents a photocopier from a company that charges $20 each month plus $0.02 for each copy
Step-by-step explanation:
What is the question exactly?
Jan spends part of her year as a member of a gym. She then finds a better deal at another gym, so she cancels her membership with the first gym after x months and spends the rest of the year, y months, with the second gym. The membership to the first gym costs $85 per month, while the membership for the second gym costs $50 per month. If she ended up spending a total of $705 over the course of the year, how much time did she spend at each gym?
Answer:
Jan spent 3 months at the first gym and 9 months at the second gym.
Step-by-step explanation:
Given that:
1 year = 12 months
x = months at gym one
y = months at other gym
According to given statement;
x+y=12 Eqn 1
85x+50y=705 Eqn 2
Multiplying Eqn 1 by 50
50(x+y=12)
50x+50y=600 Eqn 3
Subtracting Eqn 3 from Eqn 2
(85x+50y)-(50x+50y)=705-600
85x+50y-50x-50y=105
35x=105
Dividing both sides by 35
[tex]\frac{35x}{35}=\frac{105}{35}\\x=3[/tex]
Putting x=3 in Eqn 1
3+y=12
y=12-3
y=9
Hence,
Jan spent 3 months at the first gym and 9 months at the second gym.
Two people are traveling and need to exchange the currency of their native country for the currency of the country they are visiting.
Drag each exchange to match the ratio of currency to currency in each container.
Answer:
The choices?
Step-by-step explanation:
Answer:
What are the options
Step-by-step explanation:
A cyclist travels 5 miles each way on a bike path. Travel in one direction is with a 4 mile per hour wind and travel back is against a 4 mile per hour wind. Part A: Write and simplify an equation for the amount of time t in hours it will take the cyclist to make the trip. Part B: What is the cyclist's total travel time, if she travels an average of 6 miles per hour without the wind?
Answer:
a. 10v/(v² - 16) b. 3 hours
Step-by-step explanation:
a. Write and simplify an equation for the amount of time t in hours it will take the cyclist to make the trip.
Let v be the speed of the cyclist without the wind. The speed of the cyclist with the 4 mile per hour wind in the direction of the wind is v' = v + 4. Since the distance travelled is 5 miles, and time, t = distance/speed, the time it takes to make this trip is t' = 5/(v + 4)
Let v be the speed of the cyclist. The speed of the cyclist with the 4 mile per hour wind against the direction of the wind is v" = v - 4. Since the distance travelled is 5 miles, and time, t = distance/speed, the time it takes to make this trip is t" = 5/(v - 4).
So, the total travel time, T = t' + t"
= 5/(v + 4) + 5/(v - 4)
= [5(v - 4) + 5(v + 4)]/[(v + 4)(v - 4)]
= [5v - 20 + 5v + 20)]/(v² - 4²)
= 10v/(v² - 16)
b. What is the cyclist's total travel time, if she travels an average of 6 miles per hour without the wind?
If v = 6 miles per hour, then
T = 10v/(v² - 16)
= 10(6)/(6² - 16)
= 60/(36 - 16)
= 60/20
= 3 hours
can someone help with this??
Write the answer in simplest form.
1/9÷2/5=
Answer:
yes I can
Step-by-step explanation:
1/9÷2/5
=0.011111111111
=1⁄90
Explain whether each is a linear equation
y = 1 - x
Answer:
In a linear equation in x and y, x is called x is the independent variable and y depends on it. We call y the dependent variable. If the variables have other names, yet do have a dependent relationship, the independent variable is plotted along the horizontal axis
:)
Answer:
This should be considered a linear substitution because you can substitute this equation into y in another linear equation to find the answer or the solution to the linear equation
Step-by-step explanation:
3. help me asap i’ll give brainliest if it’s right
Answer:
B it seems like it's the most suitable answer
How would you write 0.5 Repeating as a fraction
Let x = 0.555…
Then 10x = 5.555…
Subtract one from the other to get
10x - x = 5.555… - 0.555…
Notice how the fractional parts on the right cancel. This leaves you with
9x = 5
and so
x = 5/9
Answer:
59
Step-by-step explanation:
Since this fraction repeats the same number it must have a denominator of 9 and a numerator of the repeating digit the repeating digit is 5 so the fraction is 59
please can you help me it said I am in high school but I am in middle school but please help.
Answer:
C. 58.18 mph
Step-by-step explanation:
Answer:
C. 58.18
Step-by-step explanation:
The average speed means we will do miles per hour (mph). So if there are 640 miles for 11 hours the fraction would look like this:
640/11
We want to find the value for 1 hour so we need the bottom number(denominator) to be 1
Therefore we divide by 11 on the numerator and denominator by 11
58.181818(repeating)/1
This means we travel 58.181818... miles per hour.
If we round to the hundredths place we get 58.18 or option C.
Keep in mind that we can do this in ratio form and still get the same answer:
miles: hours
640:11
58.181818:1
Ten cards numbered 1 through 10 are in a stack.
One card is chosen at random and then placed back in the stack.
After 76 draws, predict how many times an odd number would be drawn.
A 42
B 38
C 40
Answer:
is it 42
Step-by-step explanation:
Colton has 15 muffins. He splits them evenly among b boxes.Write an expression that shows how many muffins are in each box
Answer:
15÷b=m
Step-by-step explanation:
So if you need to find the answer it could be either 3 boxes and 5 muffins in each bow or 5 boxes with 3 muffins in each box.
I know you didn't ask for the but I thought I should say it just in case.
Use substitution to solve the system.
X= ?
Y= ?
5x+4y = -10
x = 3y+17
Answer:
x=3.4
y=-6.75
Step-by-step explanation:
5x+4y=-10 (equation 1 )
-5x+3y=-17 (equation 2)
7y=-27
y=-6.75
substitution (equation 1 ) y=-6.75
5x-27=-10
5x=17
x=3.4
Please I NEED HELP
Multiply the following polynomials. The solution must be in standard form.
(-2y – 4y2 – 8yº) (-1073 + 5y?)
O 40y6 + 20y5 – 10y3 + 20
O 2046 – 10y4 + 40y3 + 40y
O –20y4 – 10y3 + 40y5 + 40y
O 80y6 – 1073
9514 1404 393
Answer:
(d) 80y⁶ -10y³
Step-by-step explanation:
You only need to find the highest-degree term of the product to determine the correct answer choice.
That term is the product of the highest-degree terms of the factors:
(-8y³)(-10y³) = 80y⁶
This matches choice D only.
find the 30th term 152, 149, 146
Answer:
65
Step-by-step explanation:
delta math said it lol
23. Which of the following inequalities is correct?
A q>t>p
B p>t>q
C t>p>
D t>q>p
There are 86 students and 6 teachers attending the school field trip. Each van holds 16 people. How many vans will be needed to transport all students and teachers?
Answer: 6 vans
Step-by-step explanation: one of the vans would only have 6 people
Answer:
6 vans! Hope it helps!
Step-by-step explanation:
Help me pls also the answer must be a mixed number
Answer:
2 wholes and 5/26
Step-by-step explanation:
convert the mixed number to improper fraction
= -19/6 / -13/9
since there is 2 negatives and (-)/ (-) means your answer is positve
to divide by a fraction multiply by the reciprocal of that fraction.
19/6 x 9/13
reduce 6 and 9 to 3 and 2 becuase both have a GCF of 3.
19/2 x 3/13
multiply 19/2 x 3/13
= 57/26
= 2 wholes and 5/26
= 2.1923076
HELPPPPPPPPPPPPPPPPPPPPPPP
The temperature at 7:00 a.m. was –9°F. By 4:00 p.m., the temperature had risen 10 degrees. What was the temperature at 4:00 p.m.?
Group of answer choices
-19
19
-1
1
Answer:
1
Step-by-step explanation:
-9+10=1
Answer:
1
Step-by-step explanation:
How do I figure out X in this equation URGENT!!!
Step-by-step explanation:
p = 2(L+W)
98 < 2(x-2cm + 3x+5cm)
98 < 2x - 4 + 6x + 10
98 < 2x + 6x -4 +10
98 < 8x + 6........the inequality
98 - 6 < 8x
92 < 8x
11.5 < x.......the value of x
Convert the following function to Standard Form by using the Area Model.
f(x) = (x+3)²+8
A. f(x) = x² + 6x + 17
B. f(x) = x² + 6x +9
C. f(x) = (x + 3)(x +8)
D. f(x) = x² +17
Answer:
im just getting points sorry
Step-by-step explanation:
which number is a possible solution to the inequality below?
x£ -3
A -4.75
B -2.25
C 1.25
D 3.75 £ <------ this btw is a less sign but a line under it (please help thanks)!!
Answer:
A -4.75
Step-by-step explanation:
The inequality is given as :
x ≤ -3
A possible solution per the answer choices is -4.75
Hence;
-4.75 ≤ -3
HELP ME I SWEAR IF I GET ANOTHER "ASK YOUR TEACHER" I WILL EXPLODE
Answer:
XDDD
Step-by-step explanation:
please help me please will give brainliest to anyone who is good
Answer:
increase = 59-50
increase = $9.00
Percent = (increase/whole value) x 100
Percent = (9/50) x 100
Percent = 18%
Mark Brainliest
Anime weebs please unite please I’m lonely!
So the mods don’t come What’s 2+2?
Answer:
4 i think
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
So you count to two fingers on one hand and to two on the other one to. Then you put them together. So now you should have counted 4 fingers all together.
XD
Hello!!!!
(Please check that it’s right!)
Answer:
Step-by-step explanation:
Reflection over an x-axis.
