We're given
a₄ = 3a₁
a₇ = 2a₃ + 1
Since these numbers form an arithmetic progression, we have for some fixed constant d
a₂ = a₁ + d
a₃ = a₂ + d = a₁ + 2d
a₄ = a₃ + d = a₁ + 3d
and so on, up to
a₇ = a₁ + 6d
Rewrite the given equations in terms of a₁, then solve for a₁ and d :
a₁ + 3d = 3a₁
a₁ + 6d = 2 (a₁ + 2d) + 1
2a₁ - 3d = 0
a₁ - 2d = -1
(2a₁ - 3d) - 2 (a₁ - 2d) = 0 - 2 (-1)
2a₁ - 3d - 2a₁ + 4d = 0 + 2
d = 2
a₁ + 3d = 3a₁
3 (2) = 2a₁
a₁ = 3
distance between the points ( – 13,19) and ( – 13, – 12).
Scott’s Concepts & Designs creates custom t-shirt designs. They charge $8 for a short sleeved t-shirt and a one-time design fee of $20. The total cost of a Yale order was $452. How many t-shirts did Yale order?
Answer:
the answer would be 16 if you round
I neeeed the answer please!!!
Write the equations of the line in slope-intercept form that is perpendicular to 5x-3y=-18 and passes through (-10,-4).
Select all the rational numbers. 3.02859...3 3.14159... 3.7¯ 1.41421...helpppp
Answer:
A rational number is a number that stops and doesnt go on forever and ever. Therefore the sequence of numbers would be no, yes, no, yes, yes
Any number that is a decimal that eventually stops is also rational but decimals that never end are irrational.
Step-by-step explanation:
All the numbers given here are rational numbers.
What is a rational number?"A rational number is a number that can be expressed as the fraction (p/q) of two integers, a numerator 'p' and a non-zero denominator 'q'."
The given numbers are 3.02859, 3, 3.14159, 3.7, 1.41421.
All the numbers here are rational numbers as they can be expressed as the fraction (p/q) of two integers.
Here, p = numerator, q = denominator(q ≠ 0).
Learn more about rational numbers here: https://brainly.com/question/13768738
#SPJ2
I have a go to the store and she’s his clothes and shoes for a new job the purchases total of $200 even has a choice pay with cash or pay with credit card that gives a discount how much will ava save immediately if she uses the credit card and paid the balance during the billing cycle?
Answer:
$10, $30.40
Step-by-step explanation:
The dimensions of a rectangle are 3.61 cm and
2.57 cm, each correct to 3 significant figures.
a) Write down the upper and lower bounds for each dimension
b) Find the upper and lower bounds of the area of the rectangle.
c) Write down the upper and lower bounds of the area correct to 3 significant figures
Answer:
a) 3.605 and 3.615, 2.565 and 2.575
Step-by-step explanation:
What is 2.49 x 10-2 written in standard form?
Answer:
2.29×10^1
Step-by-step explanation:
2.49 multiply with 10 and then minus with 2 and you will get 22.9 if you want it in standard form the answer will be 2.29×10^1
Identify the slope, y-intercept, and x-intercept of the graph of the linear
equation.
19. 5x + 3y = 15
20. y = x - 3
21. x = -4
PLEASE HELP I’M SO LOST
MY TEACHER DOESN’T TEACH AT ALL
Can someone be my math helper please I’m so bad at math lol
Answer:
I'd gladly help! Comment on this, and I'll help. :)
Step-by-step explanation:
Answer:
comment questions i will try my hardest to answer i have a A+ in math so if anyone needs help
Step-by-step explanation:
5. What is the solution to the system of equations,
graphed below?
Answer:
(-2,3)
Step-by-step explanation:
It's the point where the 2 lines meet
Raoul is training hard for a 10k run he takes 42.85 minutes to complete 5laps of the park how much time on an average does he clock to complete a single lap
Answer: He took 8.57 minutes on average to complete one single lap.
Step-by-step explanation:
Given: Time taken to complete 5 laps = 42.85 minutes
Divide both sides by 5, we get
On average, Time taken to complete 1 lap = [tex]\dfrac{42.85}{5}[/tex] minutes
= 8.57 minutes
hence, he took 8.57 minutes on average to complete one single lap.
Ariel earns the same amount each week from tutoring. When she started this job, she had $100 in her savings account. The table shows Ariel's savings account balance for her first month of work.
let x represent the number of weeks Ariel has been working and let y represent Ariel's account balance. Which equation, expressed in Slope-Intercept Form, represents the amount of money in Ariel's bank account over time?
A. y=350x - 100
B. y=350x + 100
C. y=100x - 350
D. y= 100x + 350
Answer:
B
Step-by-step explanation:
The required line is y = 350x + 100 expressed in slope-Intercept form, which represents the amount of money in Ariel's bank account over time.
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
Let x represent the number of weeks Ariel has been working and let y represent Ariel's account balance.
As per the given table, take two points (0, 100) and (4, 1500)
This means that the line passes through points (0, 100) and (4, 1500).
Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
x₁ = 0, y₁ = 100
x₂ = 4, y₂ = 1500
⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
Substitute values in the equation, we get
⇒ y - 100 = (1500 - 100)/(4 -0 )[x -0]
⇒ y - 100 = (1400/ 4)x
⇒ y - 100 = 350x
⇒ y = 350x + 100
Hence, the required line is y = 350x + 100 expressed in slope-Intercept form, which represents the amount of money in Ariel's bank account over time.
Learn more about the Linear equations here:
brainly.com/question/13738061
#SPJ2
(5x10^7)+(1x10^6)
Answer is Scientific Notation
Answer:
5.1 × 10^7
look up scientific calculator :)
HELP PLSS ASAP TY:Choose all expressions that are equal to 28.3.
A. 27 + 0.91 + 0.39
B. 0.01 + 28.02
C. 9.9 + 9.8 + 9.6
D. 0.02 +28 + 0.28
E. 27.3 + 1
Answer:
A, D, E
Step-by-step explanation:
Divide: (3.75 x 10^6 ) / (2.5 x 10^3 )
Answer:
1500
Step-by-step explanation:
What is the slope-intercept that is parallel to y=1/2x+4 and passes through (-3/-6)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]y = \frac{1}{2} x - \frac{9}{2} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
10/3
Step-by-step explanation:
ASAP!!! Pls help me in this , i don’t want to flunk :(
Answer:
C
Step-by-step explanation:
It has to represent 2 inches and 60 miles which means the number 2 has to hit 60 miles which is why c is the answer.
A teacher buys 4.25 ounces of a compound for an experiment. The compound costs $2.32 per ounce. The teacher pays with a $10 bill. How much change does the teacher receive?
Given:
Compound for an experiment = 4.25 ounces
Compound costs = $2.32 per ounce.
Teacher pays = $10
To find:
The amount of change teacher receive.
Solution:
Cost of 1 ounce of compound = $2.32
Cost of 4.25 ounce of compound = 4.25 × $2.32
= $9.86
It is given that, the teacher pays with a $10 bill.
Amount of change = $10 - $9.86
= $0.14
Therefore, the teacher receive $0.14 change.
Halima wants to cover all of the wall with tiles. The tiles are squares with sides of length 20 cm. The tiles are sold in packs. There are 10 tiles in each pack. Each pack of tiles costs £34.99 Halima only has £1000. How much would it cost Halima to tile the whole wall?
Complete Question
Halima wants to cover all of the wall with tiles. The tiles are squares with sides of length 20 cm. The tiles are sold in packs. There are 10 tiles in each pack. Each pack of tiles costs £34.99 Halima only has £1000. How much would it cost Halima to tile the whole wall?
Length of the wall = 3m
Width of the wall = 4m
Answer:
£1049.70
Step-by-step explanation:
100cm = 1m
1 tile = 20cm
100cm÷ 20cm = 5
1m = 5 tiles
Width = 4m = 4 × 5 = 20 tiles
Length = 3m = 3 × 5 = 15 tiles
Total tiles needed = 20 tiles × 15 tiles = 300 tiles
Remember: 1 pack contains 10 tiles
10 tiles = 1 pack
300 tiles = 300/10= 30 packs
Note: 1pack costs £34.99
30 packs = 30 × £34.99= £1049.70
Halima needs £1049.70 to cover the wall with tiles
Will give brainliest
Answer:
-2x + 8y -3
Step-by-step explanation:
2y - 3 + 6y - 2x
-2x + 8y -3
A bag contains 9 green marbles and 12 white marbles. In simplest form, what are the odds in favor of drawing a white marble?
A) 4:7
B) 4:3
C) 1:7
D) 3:4
Answer:
3 : 4, D
Step-by-step explanation:
Since the ratio is 9 : 12, simply put it in fraction form and simplify.
What equation represents the same value as 15/12
Answer:
15/12 is the same as 15÷12
Step-by-step explanation:
fractions is just division when u see the fraction line the numerator is being divided by the denominator if that makes sense
Please show all of your thinking and work! Use the image below.
Answer:
x = 4.5m∠VGT = 108°Step-by-step explanation:
base on the given diagram
1. solve for - (refer to attached image 1)
3x + 6 = 5x - 36 + 3 = 5x - 3x9 = 2xx = 9/2x = 4.52. solve for m∠VGT (refer to attached image 2)
internal angle of VGT = 180 ∠V/2 + ∠T/2 + ∠G = 18066/2 + 78/2 + ∠G = 18033 + 39 + ∠G = 180∠G = 180 - 33 - 39∠G = 108please help ASAP please
Answer:
ok it is 4 7 9 10
Step-by-step explanation:
because I know that
Please help me, I don't really understand this. It's due today, also please show your work. I'm giving 50 points for this problem.
Answer:
1) 20 % decrease
2)21% decrease
3)8% increase
4)39.9% increase
5)23 % increase
6) 43.3 decrease
Step-by-step explanation:
The graph above shows the amount an electrician charges for a job, depending on how long she works on the job. She charges a fixed amount for beginning the job plus an hourly fee. According to the graph, what is closest to the fixed amount the electrician charges for beginning a job?
Answer:I believe is $75
Step-by-step explanation:
If you see in the graph is between 50 and 100
50 divided by two is 25 which means
50+25=75
I WILL GIVE MAKE YOU BRAINLIEST TO WHOEVER ANSWERS FIRST.
1. 3(5-2h) + 9 = -30
Answer:
ℎ=9
Step-by-step explanation:
Simplify the expression shown. 3.5(10g - 2) + 17 + 20g
Answer:
The answer is 55g+10
Step-by-step explanation:
first you use distributive property then add like terms.
Ramona works in a clothing store where she earns a base salary of $140 per day plus 14% of her daily sales. Write an equation to describe her earnings.
Answer:
hola hi
La verdad no se Inglés y no te podría ayudar
