Answer:
a₁ = -1Step-by-step explanation:
[tex]a_n=a_1+d(n-1)\\\\a_8=a_1+d\cdot7\\\\a_{20}=a_1+d\cdot19\\\\a_{20}-a_8=a_1+19d-(a_1+7d)=12d\\\\56-20=2d\\\\12d=36\\\\d=3\\\\\\ a_1+3\cdot7=20\\\\a_1=20-21=-1[/tex]
If the 8th and 20th terms of an arithmetic sequence are 20 and 56 respectively, then the 1st term of the sequence is -1
The nth term of an arithmetic sequence is given by the formula:
[tex]a_n=a+(n-1)d[/tex]
The 8th term of the arithmetic sequence is 20
[tex]a_8 = 20\\\\a_8=a+(8-1)d\\\\a+7d=20.......................(1)[/tex]
The 20th term of the arithmetic sequence is 56
[tex]a_{20} = 56\\\\a_{20}=a+(20-1)56\\\\a+19d=56.......................(2)[/tex]
Subtract equation (1) from equation (2)
12d = 36
d = 36/12
d = 3
Substitute d = 3 into equation (1)
a + 7d = 20
a + 7(3) = 20
a + 21 = 20
a = 20 - 21
a = -1
The first term of the arithmetic sequence is -1
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Find the equation of a line that passes through the points (2,2) and (3,6).
Leave your answer in the form
y
=
m
x
+
c
Answer:
y =4x-6
Step-by-step explanation:
first we have to find the gradient,m
m= y2-y1/x2-x1
= 6-2/3-2
= 4/1
=4
equation : y=mx+c , m=4 , (2,2) [you have only take one point either (2,2) or (3,6) is up to you ;) ]
so , sub the point and gradient into y=mx+c:
2=4(2)+c
2=8+c
2-8=c
-6=c
c=-6
In the end , y =4x-6
hope this help you!! ;)))
See attachment for math work and answer.
parallel to y = 1/2x+3 and through the point (4,5)
Use the distributive property to write an equivalent expression.
4(p - 7q+3)
Answer:
4p - 28q + 12
Claire bought 10 chicken nuggets for $17.00. If Claire spent $5.00, how many chicken nuggets did she buy
Answer
She would have 3.4 chicken nuggets i she spent $5 so she would have 3 chicken nuggets.
Step-by-step explanation:
17.00 divided by 5 = 3.4 or round down to 3.
hope it helps :b
The sales tax on a $12,000 car is 4%. How much money do you spend on taxes to buy the car?
Answer:
With just sales taxes its $480 in taxes
Step-by-step explanation:
$12,000 x .04 = 480
You type 4500 words per hour. How many words do you type
per minute?
Answer:
you type 75 words per minute.
Step-by-step explanation:
since there are 60 minutes in an hour, simply divide 4,500 by 60 to get 75. i hope this helps you! good luck and have a great day. :)
See attachment for math work and answer.
A line passes through the point (8,-2) and has a slope of -5/2. Write an equation in slope intercept form
Answer:
y= -5/2x+18
Step-by-step explanation:
(Refer to picture)
Just like the last one, use the point-slope formula: y-y1=m(x-x1)
Plug in (8, -2) as y1 and x1
Simplify the equation.
SOMEONE PLEASE HELP ME I NEED IT
Answer: m=-5/11
Step-by-step explanation:
To find the slope of two points use the formula m=y2-y1/x2-x1
Answer:
-5/11
Step-by-step explanation:
(21,-4) & (10, 1)
x1, y1 x2,y2
Slope = (y2 - y1)/(x2 - x1)
= (1 - (-4))/(10 - 21)
= -5/11
Gemma has 23 apples and she gives her brother 5 apples what percent did she give to her brother?
Plz help?
Answer:
4.6%
Step-by-step explanation:
I catfished someone and I was being so nice I don’t think I’ve ever been that nice to someone the point is that imma Kermit (meme)
Answer:That’s um tuff
Step-by-step explanation:
Need helps with 45 , picture above
Answer:
Ok:
Step-by-step explanation:
We know Josh buys 3 oranges for $2 and sells 2 oranges for $3. Let's take the LCM (least common multiple) of 2 and 3. It is 6. If he buys 6 oranges, he needs $4. When he sells 6 oranges he makes $9. That is a total profit of $5. In total that means, if we multiple by 10, that means that if he sells 60 oranges, he would make $50. Thus C is the answer
the farm covers an area of 13square miles. The farm is divided into 4 equal sections, as shown in this diagram. What is the area, in square miles, of each section?
Answer:
p[
Step-by-step explanation:
p[
Write a linear function with the values (-1,8) and (5,6)
Let the function be y = ax + c.
For (-1,8), 8 = a(-1) + c → 8 = - a + c
For (5,6), 6 = a(5) + c → 6 = 5a + c
Subtract one from abother,
2 = - 6a => - 1/3 = a
Hence, 8 = - 1/3 + c → 23/3 = c
Relation is:
y = (-1/3)x + (23/3)
3y = - x + 23
3y = 23 - x
PLEASE HELP ME ASAP! I WILL DO AND GET YOU ANYTHING YOU WANT! PLEASE! THANKS!
Answer:
18 square units how to solve this is there are four square units and four sides that’s 16 plus the top one and bottom one. That makes 18
Step-by-step explanation:
Help Help Help!!!!!!!!!!!
Answer:
1)B
2)G
3)B
4)F
5)D
help me plz my grade a f
Answer:
100%
Step-by-step explanation:
what is the x intercept for y= 3x - 8
Answer:
The x-intercept would be 8/3.
Answer:
(8/3, 0)
Step-by-step explanation:
The area of this field is about 500,000 m2. What is the field's area to the nearest square meter? Assume that the side lengths of the square are exactly 800m.
Answer:
502,655[tex]m{2}[/tex]
Step-by-step explanation:
field's area to the nearest square is 1,40,000 m².
What is the area of composite shapes?The area of composite shapes is the area that any composite shape covers. A composite shape is one that is made up of a few polygons that are joined together to make the desired shape. These forms or figures can be constructed out of triangles, squares, quadrilaterals, and so on. To calculate the area of a composite shape, divide it into fundamental shapes such as squares, triangles, rectangles, hexagons, and so on.
Given area of the circular field is 500,000 m². and also given the side of a square around it which is 800 m.
Hence, the area of the square is 640,000 m².
Therefore the remaining area of the space is 1,40,000 m².
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Simplify this awnser ty
Answer:
8^3=512,8^2=64,8^1=8,8^0=1
Step-by-step explanation:
NEED HELP FOR THIS QUESTION! PLEASE TAKE A LOOK AT IT!!
Answer:
90g strawberry jelly, 6 sponge fingers, 315ml custard and 45g tinned fruit
Step-by-step explanation:
just divide everything by 4 to see the value for one and then multiply that value by three!
Alright anyone that can help me?
The answer is D, [tex]\sqrt2[/tex]
If you found this answer helpful, I strongly recommend marking me as Brainliest!
rico bought 3.4 pounds of coffee that cost $6.95 per pound how much did he spend on coffee?
estimate: 18-28, 22-38, 36-50, or 8-18
solution: ??
Answer:
$23.63
Step-by-step explanation:
Your just adding decimals if I understood the question. So basically you just multiply 6.95 by 3 which gets you 20.85.
And then you divide 6.95 by 10 which is .695, and then multiply that by 4 which gets you to 2.78.
So now you just add those two up
20.85 + 2.78 = 23.63
Your welcome :)
Yours truly, Madison Estrella
Can y’all help please I’ll mark Brainly for first responders
Answer:
1=$1
2=$2
3=$3
4=$4
Step-by-step explanation:
A taxi cab charges $1.45 for the flat fee and $0.55 for each mile. Write an inequality to determine how many miles Ariel can travel if she has $35 to spend.
PLZ NEED HELP :( WILL GIVE BRAINIEST IF RIGHT
A $1.45 + $0.55x ≥ $35
B $1.45 + $0.55x ≤ $35
C $0.55 + $1.45x ≥ $35
D $0.55 + $1.45x ≤ $35
Answer:
B. $1.45 + $0.55 is less than or equal to $35
Step-by-step explanation: Because Ariel has to pay $1.45 when she gets in the taxi then each mile after (x) is $0.55 and she only has $35 therefore it is less than or equal to.
Перечислите все целые числа, расположенные между числами –6,6 и –1,2.
Answer:
-6, -5, -4,-3,-2
Step-by-step explanation:
Целые числа - это просто целые числа, положительные или отрицательные. Целые числа - это числа без дробных частей. Целые числа от -6,6 до -1,2 следующие:
-6,-5,-4,-3,-2
The parallelogram shown below has an area of 140
2(5x+5) + 9(x-10) + 9-squared
Step-by-step explanation:
We'll use BODMAS to solve this
Open the brackets :
2(5x+5)+9(x-10)+9sq = 10x+10+9x-90+81Then we arrange them accordingly :10x+9x+10-90+81 We then calculate :19x+10-90+81BODMAS :19x+91-90 = 19x+1ANSWER :19x+1A model car is for sale online. The owner discounts the price by 5% each day until it sells. On the third day, the car sells. If the original price of the model car was $40, how much did the car sell for to the nearest cent?
The price at which they will sell the car is $34.30.
What is the selling price?A discount reduces the carrying value of the model car. If the price of the car is discounted by 5% everyday, it means that the car decreases at an exponential rate. When there is an exponential decrease, the value of the car falls faster with the passage of time.
Exponential functions have this form [tex]e^{x}[/tex]
Where:
x = the variable e = constantThe formula that can be used to determine the price at which they will sell the car is:
Selling price = initial value x (1 - discount rate)^number of days
$40 x (1 - 0.05)^3
$40 x 0.95^3 = $34.30
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x - 13 = 22 linear equations
Answer:
x = 35
Step-by-step explanation:
x - 13 = 22
Add 13 to each side
x - 13+13 = 22+13
x = 35
See attachment for math work and answer.
Name an angle supplementary to /EOD