Answer:
The function that describes the arithmetic sequence is A(n) = 4n + 6
Step-by-step explanation:
The formula of the arithmetic sequence is a[tex]_{n}[/tex] = a + (n - 1)d, where
a is the first term of the sequenced is the common difference between each 2 consecutive termsn is the position of the number∵ The terms of the sequence area 10, 14, 18, 22
∵ The first term is 10
∴ a = 10
∵ 14 - 10 = 4
∵ 18 - 14 = 4
∵ 22 - 18 = 4
∴ The common difference is 4
∴ d = 4
→ Substitute them in the formula above
∵ a[tex]_{n}[/tex] = 10 + (n - 1)4
∴ a[tex]_{n}[/tex] = 10 + n(4) - 1(4)
∴ a[tex]_{n}[/tex] = 10 + 4n - 4
→ Add the like terms
∵ a[tex]_{n}[/tex] = 4n + (10 - 4)
∴ a[tex]_{n}[/tex] = 4n + 6
→ Write it in the form of the function A(n)
∴ A(n) = 4n + 6
∴ The function that describes the arithmetic sequence is A(n) = 4n + 6
Which equation is written in slope-intercept form?
O y = 3x-2
O X= ży+ 8
- 2x + 5y = 12
O 3y = 8x-5
Answer:
The first one
y= 3x-2
Step-by-step explanation:
Solve correctly and I’ll give brainliest
The senior class has 412 students. They are assigned to different homerooms. There are 28 students in the smallest homeroom and the remaining 12 homerooms have the same number of students. How many students are in each of remaining 12 homerooms?
Just give me the equation.
Answer:
There are 32 students in the other 12 homerooms.
Step-by-step explanation:
32x12=384
384+28=412
Full equation: 32x12=384 28=412
Review the following information about vectors q and r.
What is the value of a?
q=(-4,1)
31
r = (a, 3)
7(q + r) = (-35, 28)
-5
==========================================
Work Shown:
q = (-4, 1) is one vector
r = (a,3) is another vector
The resultant vector is
q+r = (-4,1)+(a,3)
q+r = (-4+a,1+3)
q+r = (-4+a,4)
Multiply both sides by 7
7(q+r) = 7*(-4+a,4)
7(q+r) = (7*(-4+a),7*4)
7(q+r) = (-28+7a, 28)
---------------
Since 7(q+r) = (-35, 28), we know that,
(-28+7a, 28) = (-35, 28)
which leads to
-28 + 7a = -35
when we equate the x components of each vector. Let's solve for 'a'
-28 + 7a = -35
7a = -35+28
7a = -7
a = -7/7
a = -1
--------------
Check:
q = (-4,1)
r = (a,3) = (-1,3)
q+r = (-4,1)+(-1,3)
q+r = (-4+(-1), 1+3)
q+r = (-5, 4)
7*(q+r) = 7*(-5, 4)
7*(q+r) = (7*(-5), 7*4)
7*(q+r) = (-35, 28)
The answer is confirmed.
Answer:
D. -1
Step-by-step explanation:
edge test
Ethan works at an electronics store as a salesperson. Ethan earns a 5% commission on the total dollar amount of all phone sales he makes, and earns a 4% commission on all computer sales. Ethan had twice as much in computer sales as he had in phone sales and earned a total of $117 in commission. Write a system of equations that could be used to determine the dollar amount of phone sales Ethan made and the dollar amount of computer sales he made. Define the variables that you use to write the system.
Answer:
0.05x+0.04y=117
y=2x
where:
x is the amount of all phone sales
y is the amount of all computer sales
Step-by-step explanation:
From the information given, the first equation would indicate that the comission of all phone sales plus the comission from all computer sales would be equal to 117, which is:
0.05x+0.04y=117, where:
x is the amount of all phone sales
y is the amount of all computer sales
Also, the statement indicates that Ethan had twice as much in computer sales as he had in phone sales, which would be:
y=2x
Now, you can replace y=2x in the first equation and solve for x:
0.05x+0.04(2x)=117
0.05x+0.08x=117
0.13x=117
x=117/0.13
x=900
Finally, you can replace the value of x in y=2x to find the value of y:
y=2(900)
y=1800
5 divided by 9/10 as a fraction
Answer:
5/1. 9/10 ÷ 5 = 9/50
Step-by-step explanation:
a whole number 5 can be written as 5/1. 9/10 ÷ 5 = 9/50 in fraction form.
hope this helped. Let me know if i was right. Im sorry if I was wrong Im not so good at math.
Which expression is equivalent to 5x2 – 8 ?
explain
Answer:
10x+−8
Step-by-step explanation:
multiply 5 x 2 = 10
turn 8 to -8
now your answer is 10x+-8
50 % of blank = 21 plz I need help with that question
Answer:
42
Step-by-step explanation:
50% of ? = 21 is saying that you need to do 21 x 2, which is 42.Answer:42
21 x2 = 42. Therefore 1/2 or 50% of 42 is 21
Step-by-step explanation:
5(x+3)-3x^2 when x is -1.4
Answer:
The answer would be C.) 2.12
1
6
the fourths and sixths are
1
7
In this picture of
4
subdivided further.
What do you notice, with these new subdivisions?
What is the common differenec in 7, 6, 5, 4,...
Answer:
d = - 1
Step-by-step explanation:
The common difference d between consecutive terms is
6 - 7 = 5 - 6 = 4 - 5 = - 1
Answer:
Step-by-step explanation:
On a trip, Miguel drives at an average speed of 55 miles per hour. After 2 hours, the odometer on his car reads 4583. Write an equation to represent the reading on the odometer m after h hours.
Answer:
[tex]m=4473-55h[/tex]
Step-by-step explanation:
Step one
Given data
speed= 55 miles per hour
time taken = 2 hours
Hence the distance covered is
from v=d/t
distance= velocity * time
distance= 55*2
distance= 110 miles
this means that the initial reading of the odometer is
=4583-110
=4473 miles
after h hours the distance covered will be
distance = 55*h
distance= 55h
the reading of the odometer m is
m= initial reading-distance
Hence the reading of the odometer m is expressed as
[tex]m=4473-55h[/tex]
Answer:
Correct
m=55h+4473
Step-by-step explanation:
i got it right :-)
“Mr and mrs brown went to two movies. The first one Lasted 3 1/2 hours and the second one lasted 1 1/3 hours. How much longer was the first than the second movie” please help me I need serious help rn
Answer:
8/15=32
Step-by-step explanation:
On Saturday, 150 guests at a hotel called for room service, and 225 guests did not call for room service. What percentage of the guests at this hotel called for room service on Saturday?
Answer:
40% I believe Hope's it help
Find the area. Simplify your answer.
At a trampoline park jumpers pay a jumping price p per hour and a one time sock fee 8 which expression represent the cost for 5 friends to jump at the trampoline park for 1 hour
(I NEED HELP THIS IS A TEST)
Use the known lengths of the squares that form the right triangle
to find the length x of the third square.
A 15ft
B 5ft
C 1.5ft
D 5.5ft
Answer:
b 5ft
Step-by-step explanation:
7. Simplify the expression.
3[(15 – 3)2 + 4
Answer:
84
Step-by-step explanation:
Answer:
If you meant 3 [ ( 15-3 ) 2 ] + 4, the answer should be 73.
Step-by-step explanation:
3 [ ( 15-3 ) 2 ] + 4
= 3 [ ( 12 ) 2 ] + 4
= 3 [ 24 ] + 4
= 69 + 4
= 73
23.82600 in standard form
Answer:
23.826
Step-by-step explanation:
To write a linear expression in standard form, rearrange the terms in alphabetical order.
will mark brainliest pls answer
Answer:
= 18 square units
Step-by-step explanation:
area = full square units + 1/2 x half-full square units
2
remember that if a square is not full it is NOT full: hence it will be considered as half full.
full square units =12
1/2 full square units =12
12 + 12/2
12 + 6
= 18 square units
Point B is at (-1.5 , 6.3). Point B is reflected across the x-axis to become point C.
The coordinates of point C are___________ .
Point C is located in quadrant _________ .
PLS HELP
BRAINLIST
Answer:
Located in quadrant 2. And coordinates of point c are (1.5, 6.3)
Step-by-step explanation:
Hope this helped you!! Give brainliest..
Answer: 2 and 3
Step-by-step explanation:
In Riverview Middle School, 20% of the students participate in after-school clubs. For every 100 students, how many are in an after-school club?
2
5
20
80
Answer:
20
Step-by-step explanation:
I hope this helps :))))
Solve (v +3) - 44 = 0, where v is a real number.
Answer: V = 41
Explanation in the photo below
26-(6y-10)=27y-18-37 First will get brainliest!
Answer:
y = 91/33
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
26 - (6y - 10) = 27y - 18 - 37
Step 2: Solve for y
Distribute negative: 26 - 6y + 10 = 27y - 18 - 37Combine like terms: -6y + 36 = 27y - 55Add 6y to both sides: 36 = 33y - 55Add 55 to both sides: 91 = 33yDivide 33 on both sides: 91/33 = yRewrite: y = 91/33
It takes 8 minutes to fill an empty aquarium to a depth of
2/5
meters.
What is the unit rate in minutes per meter?
Write your answer in simplest form.
Answer:
Step-by-step explanation:
Answer
0
andrew8253
Virtuoso
237 answers
42.1K people helped
Answer:
The rate is 15 minutes per meter.
Step-by-step explanation:
It takes 9 minutes to fill a depth of meters.
Filling meters take 9 minutes time.
Filling 3 meters of the aquarium takes = 45 minutes time (Multiplying by 5 both the numbers).
In order to fill 1 meter of the aquarium it will take minutes (Dividing by 3 both the numerical values).
===================================================
Work Shown:
8 minutes = (2/5) meters
5*(8 minutes) = 5*( (2/5) meters )
40 minutes = 2 meters
40/2 minutes = 2/2 meters
20 minutes = 1 meter
The unit rate in minutes per meter is 20 minutes per meter.
In other words, it takes 20 minutes to raise the level 1 meter.
Which expression is equivalent to 4(7 + 8)?
Answer:
28+32
Step-by-step explanation:
4(7+8)
= (4*7)+(4*8)
= 28+32
I need help with this plz percent equations the question is blank % of 35 = 21
Answer:
60%
Step-by-step explanation:
(-1,5) (2,-5) what is the slope can anyone please help
4. -64
Multiplicative inverse
Answer:
the answer I got is -23, please let me know if I am wrong.
- A fish tank filter cleans 3 gallons of water every 1/4 hour. Set up and solve a proportion to determine how many gallons of water are cleaned in 4 hours.
Answer: 48 gallons in 4 hours
Step-by-step explanation:
3 gallons every .4 hours > 12 gallons every 1 hour > 48 gallons every 4 hours