In an arithmetic sequence, the first term is -8 and the sun of the first 20 term is 790. Find the common difference
Answer:
a=-8,s20=790
Step-by-step explanation:
s20=10[-16+19xd]
790/10=-16+19d
79+16=19d
85=19d
d=85/19=5
The common difference of the given arithmetic sequence is 5.
What is Arithmetic progression?The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).
Natural number = 1,2,3,4,5,6,7,8...
Now it has the same difference between any two consecutive terms d =2-1 = 3-2
Given that,
First term a₁ = -8
Sum of first 20 terms = 790
Sum of the first N term is given by ;
⇒ N/2[2a + (n - 1)d]
So,
20/2[2(-8) + (20 - 1)d] = 790
10[-16 + 19d] = 790
19d - 16 = 79
19d = 95
d = 5
Hence "The common difference of the given arithmetic sequence is 5".
For more about Arithmetic progression
https://brainly.com/question/20385181
#SPJ2
Solve 5x - 6 = 3(x - 1)
Answer:
3/2 or 1.5
Step-by-step explanation:
5x-6 =3(x-1)
= 5x-6= 3x-3
-3x -3x
= 2x-6= -3
+6 +6
2x= 3
divide by 2
x = 3/2
Hope this helps!
please help! i will give brainliest!
Answer:
B represents 9. The opposite would be -9
Step-by-step explanation:
You and three friends went shopping. All of you
bought the same shirt and pants except you did not
buy the pants for $12. The total was $92. Write an
equation to determine how much each of your
friends paid for their outfit.
I have till 2 and I need help
Answer:
(12 * 4) + 4x / 4
Step-by-step explanation:
BRAINLIST AND 40 POINTS PLEASE HELP ASAP NO ONE IS HELPING:(
#1 Which equation represents a direct variation? *
Output = Input x 8 + 2
Output = Input x 5
Output = Input x 3 + 1
Output = Input x 6 + 4
#2 Which equation represents a partial variation? *
Output = Input x 3
Output = Input x 6
Output = Input x 2 + 5
Output = Input x 9
Answer:
for #1 its B : output = input x5
and for #2 its C : output= input x2 +5
A fraction is shown. 6/18 Which expression is equivalent to this fraction?
A. 6 × 18
B. 18 - 6
C. 6 ÷ 18
D. 6 + 18
Answer:
C
Step-by-step explanation:
Find three rational numbers between 1/2 and 2/3
Answer:0.51, 0.52, 0.53
Step-by-step explanation:
Answer:
1/3,1/4 and 2/3
Step-by-step explanation:
A calculator that cost $60 in 1980 now sells for $10. What was the percent of decrease
Answer: 16.6%
Step-by-step explanation:
$60 divided by 6 = $10
so divide 100 by 6 and you get about 16.6
I Hope this Helps!
What is the inverse of the function g(x)=5(x-2)
Answer:
[tex]\frac{x-2}{5}[/tex]
Step-by-step explanation:
The inverse function of the function g(x)=5(x-2) is g(x)⁻¹= [( x/5 )+2 )].
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The inverse function is calculated as:-
y = 5 ( x - 2 )
Replace the variables with each other in the equation.
x = 5 ( y - 2 )
( x/5 ) = y - 2
y = ( x/5 ) + 2
Therefore, the inverse function of the function g(x)=5(x-2) is g(x)⁻¹= [( x/5 )+2 )].
To know more about functions follow
https://brainly.com/question/2833285
#SPJ2
Anne owns a used car lot and in order to get cars to sell, she buys used cars at an
auction place. It costs $200 to attend the auction and she buys used cars at
$2,000 each. Last Tuesday, she purchased 10 cars. Which of the following
functions correctly represents this situation in function notation?
f(x) = 10x + 200
f(x) = 200x + 2,000
f(x) = 2,000x + 10
f(x) = 2,000x + 200
Answer:
It would be 2,000x+200
Step-by-step explanation:
okay it costs $200 to attend so that's a cost you are going to have to pay regardless. The $2,000 depends on how many cars you buy. So it would be 2,000 (times how ever many cars you buy) plus the $200.
1001
90
80
70
60
50
40
30
20
10
х
0
10 20 30 40 50 60
70 80 90 100
Answer:
1001
Step-by-step explanation:
Answer:
1001 (A)
Step-by-step explanation:
how to know the equation and solve it?
Answer:
i added all the values because the total angle of the interior triangle should give 180 °.
Beth takes measurements of her door . The diagonal line is 12 ft and the base is 4 ft . what is the height of her door?
A. 10.1 ft
B. 32 ft
C. 9.5 ft
E. 11.3 ft
Answer:
the answer is E, right?
Step-by-step explanation:
1. 360 miles in 6 hours
Answer:
60mph
Step-by-step explanation:
Consider the sequence 4,3,2,1, ... what is the f (4)
express the following in word form 11.03
Answer:
eleven and three hundredths.
Step-by-step explanation:
Subtracting is the same as blank the blank
Answer:
Subtracting a number is the same as adding its opposite. So, subtracting a positive number is like adding a negative; you move to the left on the number line. Subtracting a negative number is like adding a positive; you move to the right on the number line.
Step-by-step explanation:
3(-4/7) I don’t know how to get the answer
Answer:
Step-by-step explanation:
if its 3 - 4/7 then it = 2 3/7
if its 3*-4/7 then it = -12/7 = - 1 5/7
Point U is on line segment
TV
. Given TV=8 TU=2, determine the length uv
.
Answer:
Step-by-step explanation:
TV = VU + TU
Subsitute.
8 = VU + 2
-2 -2
VU = 6
A line segment is also a line but a line with finite length and fixed endpoints. The length of the line segment UV is 6 units.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
A line segment is also a line but a line with finite length and fixed endpoints.
Given that Point U is on the line segment TV. Therefore, it can be said that point U will lie between TV. Thus, we can write,
TV = TU + UV
As given the length of TV is 8 units, the length of TU is 2 units,
8 units = 2 units + UV
8 units - 2 units = UV
UV = 6 units
Hence, the length of the line segment UV is 6 units.
Learn more about Line here:
https://brainly.com/question/21511618
#SPJ2
Samuel orders four DVDs from an online music store. Each DVD costs $10. He has 20% discount code, and sales tax is 8%. What is the total cost of his order?
Answer: calculator
Step-by-step explanation:
2.16$
HELP ME IF RIGHT MARK BRAINLY
Answer:
A. m+7n+14
Step-by-step explanation:
Add parenthesis to help simplify.
(5m-4m)+(22-8)+7n
Simplify the expression.
m+7n+14
Can someone please help me asap I’ll mark brainlist!!!!!
Answer:
No because the aren’t equalll
Step-by-step explanation:
Is this ggod
Answer:
No
Step-by-step explanation:
32/4 = 8
72/10 = 7.2
Solve for p
-5(p+3/5)=-4
Answer: I think this is right
Step-by-step explanation:
Please Help due in 3 min
Answer:
D y=-4x+1
Step-by-step explanation:
Answer:
C) -4x+1
Step-by-step explanation:
Turn this improper fraction 88/-7 into a mixed number.
Answer:
-12 whole number, 4/7 (Mixed number)
Step-by-step explanation:
88/-7 = Improper fraction
Required to turn into mixed number
= 88 ÷ -7
= (-12 & remainder 4) / 7
= -12 (4/7)
= -12 whole number, 4/7 (Mixed number)
Wes is 4 years older than his sister. Let x be his sister's age. Write an expression that tells how old Wes is.
x+4
if x is Wes' sister's age, then it would be x + 4 since Wes is 4 years older.
Kate is x years old
Latham is 3 times as old as Kate
Mike is 4 yrs older then lethina
Write down an expression in terms of x , for mikes age
Full working out
Answer:
I think is 1x+3x=4 and then solve it if you have to
please help me out!!!
i’m having trouble with these problems #2 and #3
Answer:
Im not 100% sure but the answer is 25x^6+40x^3+16
Step-by-step explanation:
(5^3+4)^2
(5x^{3}+4)^{2}
(5x3+4)2
(5^3+4)(5^3+4)
5(5x^3+4) *x^3+4(5x^3+4)
5(53+4)⋅3+4(53+4)+4(5x^{3}+4)
5(5x3+4)⋅x3+4(5x3+4)256+203+4(53+4)
Overall the answer is 25x^6+40x^3+16
5(x+2)=⅗ (5+10x)
how do i solve
Answer:
7x
Step-by-step explanation:
5(x+2)=⅗ (5+10x) - distribute 5*x= 5x 5*2=10 3/5*5= 3 3/5*10x=6x
5x+10= 3+6x
-5 -5
10=3+1x
10=3+x
-3 -3
7=x
hope this helps!