Answers
Answer:
Please check the explanation.
Step-by-step explanation:
1) Writing the equation of the pattern
Figure 1 has 4 circles.
Figure 2 has 7 circles.
Figure 3 has 10 circles.
Thus, the sequence becomes
4, 7, 10,...
Finding the common difference between the adjacent terms
d = 7 - 4 = 3, d = 10 - 7 = 3
As the common difference is the same, so this represents the Arithmetic sequence.
so
d = 3
as
a₁ = 4
Thus, the nth term of the Arithmetic sequnce is
aₙ = a₁ + (n-1)d
aₙ = 4 + (n-1)3
aₙ = 4 + 3n - 3
aₙ = 1 + 3n
2) Determining the circles in the 23rd figure
As the nth term is given by
aₙ = 1 + 3n
putting n = 23
a₂₃ = 1 + 3(23)
a₂₃ = 1 + 69
a₂₃ = 70
3) Determining the figure having 82 circles
As the nth term is given by
aₙ = 1 + 3n
Given
aₙ = 82
To determine
n=?
Thus,
aₙ = 1 + 3n
82 = 1 + 3n
3n = 82-1
3n = 81
Dividing both sides by 3
n = 27
Therefore, 27th figure will have 82 circles.
Related Questions
1) Veronica's new car requires 12 gallons of gas to run for 100 miles. The
gas' price is $2.20 per gallon. How much will Veronica spend on gas on a
trip from Houston to Austin (160 miles). Round your answer to the
nearest cent (HUNDREDTH)
Answers
Jolene buys 5/8 of a yard of fabric for $2.50. What is the price of the fabric per yard?
Answers
Answer:
4
Step-by-step explanation:
2.50/5=0.5
0.5*8=4
What is another way to express 48 + 32?
(a) 6(8+6)
(b) 16(3 + 2)
(c) 3(16 + 11)
(d) 12(4 + 3)
Answers
Answer:d
Step-by-step explanation: tufryvztgv
HELP PLEASEEEE<3!!!!
Answers
Answer:
a = b = 40°
Step-by-step explanation:
∠ a and 140° are adjacent and are supplementary , thus
a = 180° - 140° = 40°
a and b are alternate angles and are congruent, thus
b = a = 40°
Answer:
b=40 okkkkllllllkkkkkkkkkkkkkkkkkkkkkllllllkkkk
Solve in simultaneou linear equation.
The total cost of bag and an umbrella is Rs 2000.If the cost of the bag is Rs 1000 less five times the cost of the umbrella ,find the cost of each of these two items.
Answers
Answer:
The bag costs 1500, while the umbrella cost 500
Step-by-step explanation:
Let the cost of the bag be b and the cost of the umbrella be u
Total cost is;
b + u = 2,000 •••••(i)
From the second part of the question;
b = 5u-1000 ••••••(ii)
Substitute ii into i
5u-1000 + u = 2000
6u = 2000 + 1000
6u = 3000
u = 3000/6
u = 500
To get b, substitute the value of u into equation ii
b = 5(500)-1000
b = 2500-1000
b = 1500
i really need you guy's help. Need this in about 20 minutes max. PLEASE HELP MEEE!
Answers
because the fee is $50, if you subtract that from one hour of work you get 95 that is how much it is per hour. You multiply 95 by 6 to get how much it would cost for the hours of work and then add the $50 back on for the initial fee
PLEASE HELP ME !?!?!?!?
Answers
Please help!! Will mark brainliest
Answers
Answer:
21
Step-by-step explanation:
A school lunch program serves 13,000 students. The program orders 3,250 pounds of chicken for the students. Determine how many pounds of chicken each student can have.
Answers
Answer:
0.25 or 1/4
Step-by-step explanation:
easy - 3250 pounds divided by 13000 students
everyone will get 0.25 or 1/4 of a pound of chicken
hope this helps!!
Have a nice day!
Taylor is checking her bank statement for the month of November. She began the month with $175 in her account. She made two deposits for $100 each and also made two withdrawals was for $55. Write an addition expression to represent this situation.
Answers
Answer:
The addition expression that represents the situation is;
175 + 100 + 100 - 55 -55
Step-by-step explanation:
Here, we want to write an addition expression to represent the situation
While the deposits are considered positive, the withdrawals are considered negative
So the addition expression will be;
175 + 100 + 100 - 55 - 55
if i am on my side i am everything i you chop me in half i am nothing what am i
i know it i am just seeing who can get it
Answers
Answer:
the number 8
Step-by-step explanation:
Find the measure of the indicated angle:
A) 68°
C) 45°
B) 47°
D) 940
Answers
Identify the constant of proportionality.
Answers
Answer:
14
Step-by-step explanation:
If you divide -28 and -2, you get 14 which is the constant of proportionality. You can try to multiply -4 and 14 to check which you get -56. The graph shows that and it's the correct answer!
Either Table A or Table B shows a proportional relationship.
Table A
x −2 −1 0 1
y 2 3 0 5
Table B
x −1 0 1 2
y −3 0 3 6
Plot the points from the table that shows a proportional relationship.
Answers
Answer:
the answer is table B
Step-by-step explanation:
Answer:
Table B shows a proportional relationship
Explanation:
In a proportional relationship two quantities vary directly with each other.
So,
y ∝ x
y = kx
Where, k is the constant of variation.
The ordered pairs of table A are (-2,2), (-1,3), (0,0) and (1,5).
From these ordered pairs we can conclude that the value of y-coordinate is not changing according to the x-coordinate because the values of x increased by 1 for each ordered pair but the value of y is not increasing in the same proportion..
The ordered pairs of table B are (-1,-3), (0,0), (1,3) and (2,6). The value of y increasing at a constant rate 3 and the value of y-coordinate is 3 times of x-coordinate.
Choose any two ordered pairs of table B. Let the two points are (0,0) and (1,3).
The proportional relationship is defined as
y = 3x
Therefore, 3 is the constant of variation and rate of change.
So, Table B shows a proportional relationship.
If asked to multiply 18 by 100 quicky, what is the short cut?
Answers
Answer: 18 x 100 = 1,800
Step-by-step explanation:
You take the 100 and you remove the 2 zeros and put them at the back of 18 to get your answer.
-4.8 (6.3x-4.18)=-58.56 what is x?
Answers
Answer:
x = 2.825
Step-by-step explanation:
-4.3(6.3x + -4.18) = -58.56
-4.3(-4.18 + 6.3x) = -58.56
(-4.18 * -4.3 + 6.3x * -4.3) = -58.56
(17.974 + -27.09x) = -58.56
17.974 + -27.09x = -58.56
17.974 + -17.974 + -27.09x = -58.56 + -17.974
0.000 + -27.09x = -58.56 + -17.974
-27.09x = -58.56 + -17.974
-27.09x = -76.534
x = 2.825175341
please help it's the SLOPE
Answers
Answer:
[tex] - \frac{4}{5} [/tex]
Step-by-step explanation:
Please see the attached picture.
[tex]slope \\ = \frac{1 - ( - 3)}{ - 3 - 2} \\ = \frac{1 + 3}{ - 5} \\ = - \frac{4}{5} [/tex]
☆In the gradient formula,
(x1, y1) is the first coordinate and (x2, y2) is the second coordinate.
SOMEONE HELP!!!! ASAP
I’ll give brainliest!! Please and ty !
Last answe choice is 37 !!
Answers
Answer:
65
Step-by-step explanation:
Answer this question and if right ill make branilliest
Answers
Answer:
I think that removing (1, 3) would make the most sense
Answer:
(1,3)
Step-by-step explanation:
Because (1,-2) and (1,3) have the same x value, they do not pass verticle line test, so it is not a function.
Find the slope of (-1,4) and (5, 7)
Answers
Answer:
[tex]m=\frac{1}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-1, 4)
Point (5, 7)
Step 2: Find slope m
Substitute: [tex]m=\frac{7-4}{5+1}[/tex]Subtract/Add: [tex]m=\frac{3}{6}[/tex]Simplify: [tex]m=\frac{1}{2}[/tex]Gayle made a
baby quilt using 24 equal squares. What
are the dimensions of 1 square? Describe
two different ways to find the answer.
Answers
Answer:
[tex]Measurement = 0.75ft[/tex]
Step-by-step explanation:
See attachment for complete question
Method 1:
Considering the width and length of the quilt
Given
[tex]Number\ of\ squares = 24[/tex]
Required
Determine the dimension of 1 square
The width of the quilt is 4.5ft and there are 6 squares in that dimension.
Each measurement is calculated as thus:
[tex]Measurement = \frac{4.5ft}{6}[/tex]
[tex]Measurement = 0.75ft[/tex]
Or
The length of the quilt is 3ft and there are 4 squares in that dimension.
Each measurement is calculated as thus:
[tex]Measurement = \frac{3ft}{4}[/tex]
[tex]Measurement = 0.75ft[/tex]
Method 2:
Calculate the area of the quilt.
[tex]Area = 4.5ft * 3ft[/tex]
[tex]Area = 13.5ft^2[/tex]
The area of 1 of the 24 squares is calculated by dividing the total area by number of squares
[tex]Area = \frac{13.5ft^2}{24}[/tex]
[tex]Area = 0.5625\ ft^2[/tex]
Represent the dimension of individual square with L
Area of a square is:
[tex]Area = L * L[/tex]
This gives:
[tex]L * L = 0.5625[/tex]
[tex]L^2 = 0.5625[/tex]
Take square root of both sides
[tex]L = \sqrt{0.5625[/tex]
[tex]L = 0.75ft[/tex]
Hence, the dimension of each square is 0.75ft
NEED HELP FAST!!!!!
20 points pls
Answers
Answer:
A. because both variables (y and x) cancel each other out because they are equal. The answer to A is 0=6, which is clearly not true. All other choices have a solution that is possible, because at least 1 of the variables doesn't cancel itself out.
Use the graph to write a linear function that relates y to x .
Answers
Answer:
2y = x + 2
Step-by-step explanation:
Looking at the graph, we can see from one point to the next (from right to left), the x-value rises by 2 and the y-value by 1;
From this we can work out the gradient between two points using the formula, i.e. the change/difference in y divided by the change/difference in x:
[tex]m = \frac{dy}{dx} = \frac{1}{2}[/tex]
Joining the points gives a straight line, which means a constant gradient of ¹/₂
Use the line equation formula to get the function:
y - y₁ = m(x - x₁)
m = ¹/₂
x₁ = 0
y₁ = 1
y - 1 = ¹/₂.(x - 0)
y - 1 = ¹/₂.x
2y - 2 = x
2y = x + 2
I NEED THE ANSWER I HAVE 15 MINUTES LEFT!!
On a high school varsity baseball team, 5 players are sophomores, 11 are juniors, and 13 are seniors. The team selects 4 honorary co-captains by drawing names from a hat. What's the probability that all 4 co-captains come from the same class?
Answers
Answer:
4 in 33
Step-by-step explanation:
all you do is add the amount of people and the propability number first
4 in 33
susan has a collection of 40 nickels and dimes. if the number of nickels is three times the number of dimes, how many nickels and how many dimes does she have?
Answers
Amy said 49 of her teammates got hits during a recent softball game. Which decimal represents this same amount?
A.
0.49
B.
0.444
C.
0.444
D.
0.49
Answers
Please solve and thanks!
Answers
Answer:
1/14(the first one)
Step-by-step explanation:
Albert needs $133 to buy a new hard drive. He earns $4.75 for each car he washes. If he spends $19 in supplies, write and solve an equation to find the number of cars he needs to wash to reach his goal.
Answers
Answer:
Albert needs 32 cars to wash to reach his goal.
Step-by-step explanation:
We know that the slope-intercept form of a linear function is
[tex]y = mx+b[/tex]
where m is the slope or rate of change and b is the y-intercept
It is stated that Albert needs $133 to buy a new hard drive.
Let 'y' be the amount Albert needs.As earns $4.75 for each car he washes. Thus, $4.75 the rate of change or slope will be.
As he spends $19 on supplies. Since it is an expense, so -19 is basically the y-intercept 'b'.
Let 'x' be the number of cars he needs to wash to reach his goal.
Thus, substituting the value m = 4.75, y = 133, and b=-19 in the slope-intercept form of a linear function
y = mx+b
133 = 4.75x - 19
133+19 = 4.75x
152 = 4.75x
x = 152 / 4.75
x = 32
Therefore, Albert needs 32 cars to wash to reach his goal.
4x - 2y = 5 and y = 3x - 1
Answers
Answer:
4x_2y=5
4x=5+2y
x=5+2y/5
now, y=3x_1
putting value of x in second question
In this way you can do
Find:11/3 ÷ 2/3
the quotient is 5 and _____
Answers
Answer:
5.5 quotient 5 and rest 1
But I would answer quotient is 5 and half
Step-by-step explanation:
11/3 ÷ 2/3 = 11/3 * 3/2 = 11/2= 5.5
So the quotient is 5 and rest is 1
Hope this helps, have a good day
Answer:
5 1/2
Step-by-step explanation:
11/3÷2/3
Applying the fractions formula for division,
=11/3×3/2
=33/6
Simplifying 33/6, the answer is
=5 1/2
