Mathematics College

In an arithmetic sequence, a3=15 and a8=0. What is the value of a5?

Answers

Answer 1

Answer:

a3=15 , n=3

a8=0, n=8

a5 = ?

an = a1+ (n-1)d

a3 = a1 + (3-1) d

a3=a1+2d

and a8 = a1 + (8-1 )d

a8= a1+ 7d

15 = a1 + 2 d-------1

0= a1 +7 d----------2

substacting eq 2 from eq 1

15= - 5d

- 5d = 15

divide by - 5

d = -3

putting the value of d in eq 1

15 = a1 + 7 (-3)

15 = a1 -21

adding 21 on both sides

a1-21+21= 15+21

a1 = 36

a5 = ?, n=5, d= -3, a1=36

a5 = 36 + (5-1) (-3)

= 36+(4)(-3)

= 36-12

= 24

Related Questions

What is the solution set for this inequality 55 > 7cm + 6

Answers

Answer:

First, we will substitute x for cm, and then graph the equation to find the solution

Step-by-step explanation:

Therefore, the answer is (7,0)

Quadrilateral E F G H is shown. Angle E is (15 x minus 10) degrees, angle F is (15 x + 14) degrees, angle G is (9 x minus 4) degrees, and angle H is (11 x + 10) degrees.
What is the greatest angle measure in the diagram?

95o
105o
119o
180o

Answers

Answer:

119

Step-by-step explanation:

Answer:

C. 119 degrees

I GIVEEE BRAINLI8LSTT C

Answers

Answer:

3,-2.

Step-by-step explanation:

hope this helps. :-)

nehhjjjjkkkkllllliiuuujjjjjjjjk

please help do not understand at all well I well mark brainiest please use a real answer

Answers

the answer is Y

Step-by-step explanation:

Translate this phrase into an algebraic expression.
Seven more than the product of 22 and Vanessa's savings
Use the variable v to represent Vanessa's savings.

Answers

Answer:

Step-by-step explanation:

The algebraic expression is 22v + 7.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Vanessa's savings = v

The expression that represents the phrase.

"Seven more than the product of 22 and Vanessa's savings."

= 22v + 7

Thus,

The algebraic expression is 22v + 7.

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Select the expression that is equivalent to 18 : 12 A) 6 (8+6) B 12 (4+1) C 4 (443) D 8(6+4)

Answers

Answer:

Step-by-step explanation:

D 8(6+4)

Gary sold 8 more tickets than Peter. Tracy sold 12 less than Peter. They sold 50
tickets in total. How many tickets did Gary sell?

Answers

Answer:

96 tickets

Step-by-step explanation:

how do I work this out

Answers

Do 4x4 which equals 16 and that’s your answer hope this helps

Answer:

Step-by-step explanation:

4 x 4

factor the expression
6x + 24 =

Answers

6(x+4) i think. it should be

Please help ASAP!
The perimeter of a rectangle is 48 inches. The length of the rectangle is three times the width of the rectangle. What is the area of the rectangle?
A. 24
B. 54
C. 108
D. 432

Answers

Answer:

108

Step-by-step explanation:

108!!!! hope this is correct :)

Find the equation of the line with m = 2 and goes through (-4,5).PLEASE HELP

Answers

The Equation is y=+5
Why:

You want to find the equation for a line that passes through the point (-4,5) and has a slope of .
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was . So you can right away fill in the equation for a line somewhat to read:
y=x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(-4,5). When x of the line is -4, y of the line must be 5.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: . b is what we want, the 0 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-4,5).
So, why not plug in for x the number -4 and for y the number 5? This will allow us to solve for b for the particular line that passes through the point you gave!.
(-4,5). y=mx+b or 5=0 × -4+b, or solving for b: b=5-(0)(-4). b=5.

Beth is making fruit salad. She adds 4 grapes for every 2 strawberries. If she uses 20 strawberries, how many grapes will she use?

Answers

Answer:40

Step-by-step explanation:2x+4x where the 4 represents every clump of 4 grapes and the 2 is strawberries

What is 151% of 70.Please explain how u did it.

Answers

Answer:105.7

Step-by-step explanation: 1.51 times 70

Answer:

[tex]151\% \: of \: 70 \\ \frac{151}{100} \times 70 \\ \boxed{105.7}[/tex]

105.7 is the right answer.

(please will someone help me please). write the equation of the line in the graph the two points on the line are located at (0, 3) and (6,-1) multiple choice answers are . Y=3x. Y=1/3x+3. Y=2/3x+3. Y=-6x

Answers

Answer:

c) y=2/3x+3

Step-by-step explanation:

im pretty sure this is right :)

You're given two side lengths of 10 centimeters and 8 centimeters. The angle between the sides measures 40°. How many triangles can you
construct using these measurements?
A. 0
B. 1
C. 2
D. Infinitely many

Answers

Answer:

B. 1 triangle only!

Step-by-step explanation:

Since the angle and the sides are fixed!

What is 12 divided by 2/5?
Show your work

Answers

12 • 5/2
Reduce numbers with GCF (2)
6 • 5
Multiply numbers
30

keep change flip.
12 x 5/2
60/2
=30

10=2x-20 solve for x

Answers

Answer:

[tex]10 = 2x - 20 \\ 10 + 20 = 2x \\ \frac{30}{2} = \frac{2x}{2} \\ 15 = x[/tex]

If Aaron tunes into his favorite radio station at a randomly selected time, there is a 0.20 probability that a commercial will be playing.

b. If Aaron tunes into this station at 5 randomly selected times, will there be exactly one time when a commercial is playing?

Answers

Answer:

Yes, there will be with a probability of 0.4096

Step-by-step explanation:

Given,

p = 0.2

1 - p = 0.8

Number of trials, n = 5

P(x = 1)

Using the binomial probability formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x = 1) = 5C1 * 0.2^1 * 0.8^4

P(x = 1) = 5 * 0.2^1 * 0.8^4

P(x = 1) = 0.4096

Yes, there will be with a probability of 0.4096

Answer:

No. If Aaron tunes into this station at 5 randomly selected times, there will not necessarily be exactly one time when a commercial is playing.

Step-by-step explanation:

trust

Question
7(-3)=
Plz need help

Answers

Answer:

its -21

Step-by-step explanation:

its -21 because 7 x 3 is 21 but it's a -3 so -21

The answer is -21 you just multiply regular an if one number has a negative then the result would be a negative number but if two have it then it would be positive

pls help, it would mean the most!!!

Answers

Answer:

c. it show it to be portioned

Which three side lengths best describe the triangle in the diagram?
O NG
1
2
3
0 1 2
3 4
5 6 7 8 9 10 11 12 13
LLLLLLL
12 13
5
8 9 10 11
4
O NCS 2 3
2
O NOS
O A. 5 cm, 12 cm, and 13 cm
OB. 5 cm, 10 cm, and 13 cm
O C. 4 cm, 8 cm, and 12 cm
OD. 7 cm, 12 cm, and 13 cm

Answers

Step-by-step explanation:

Option A best describes the diagram given above.

PLEASE ANSWER ASAP FOR BRANLEST!!!!!!!!!!!!!!!
Solve the equation
9(k - 2) = -6
what is k?

Answers

Answer:

k= 4/3

Step-by-step explanation:

distribute 9 9k- 18=-6

add 18 to both sides 9k= 12

divide by 9

The value of k is 4/3 or 1.334.

What is Equation?

A statement that supports the equality of two expressions that are connected by the equals sign "=" is an equation.

An equation is a condition on a variable in algebra. It only holds true for a specific value of the variable.

Polynomial equations and linear equations are two prominent families of equations that algebra takes into account.

Given equation

9(k - 2) = -6

9k - 18 = -6

add 18 both sides

9k - 18 + 18 = -6 + 18

9k = 12

k = 12/9 =4/3 = 1.334

Hence the value of k is 4/3 or 1.334.

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The soccer team played 30 games and lost 12 of those games. Samantha was the goalie in ⅚ of the games that the team won and ⅓ of the games that the team lost. In how many games did she play in?

Answers

Answer:

20 games

Step-by-step explanation:

5/6 of 12 = 10

1/3 of 30 = 10

10 + 10 = 20

Could you describe the expression 2(3+4) as a product of two factors?

Answers

the answer will be 10 just multiply the numbers

i will mark brainlyest plss helpp
Which table has a constant of proportionality between yyy and xxx of 0.30.30, point, 3?

Choose 1 answer:

Choose 1 answer:

(Choice A)

A

xxx yyy

666 222

121212 444

303030 101010

(Choice B)

B

xxx yyy

333 1.81.81, point, 8

777 4.24.24, point, 2

999 5.45.45, point, 4

(Choice C, Checked)

C

xxx yyy

444 1.21.21, point, 2

888 2.42.42, point, 4

131313 3.93.9

Answers

Answer:

The answer is C

Step-by-step explanation:

i also use khan

Answer:

table C

Step-by-step explanation:

each one is multiplied by .30

Suppose that your boss must choose four employees in your office to attend a conference in Jamaica. Because all 19 of you want to go, he decides that the only fair way is to draw names out of a hat. What is the probability that you, Samuel, Lisa, and Andrew are chosen

Answers

Answer: the probability that I, Samuel Lisa and Andrew are chosen is 0.0003

Step-by-step explanation:

Given that;

Number of 4 employees are to be chosen from 19 of them;

so Number of ways to choose 4 employees from 19 employees = ?

we know that;

c(n,r) = [tex]\left[\begin{array}{ccc}n\\r\end{array}\right][/tex] = n! / ( r!(n-r)!)

so we substitute

c(19,4) = [tex]\left[\begin{array}{ccc}19\\4\end{array}\right][/tex] = 19! / ( 4!( 19-4 )!) = 3876

so the probability that I, Samuel Lisa and Andrew are chosen will be;

⇒ 1 / 3876 = 0.0002579 ≈ 0.0003

the probability that I, Samuel Lisa and Andrew are chosen is 0.0003

Which of these rational numbers is also an integer?
A - 2/4
B - 0.24
C - 4/2
D - 2.4

Answers

D because its a whole number thats not a fraction

The diameter of a circle is 32 inches. What is the circle's circumference?

Answers

Answer:

32[tex]\pi[/tex]

Step-by-step explanation:

if diameter 32 then radius 16

circumference formula 2*[tex]\pi[/tex]*radius

32[tex]\pi[/tex]

if 50% is 7 what is 25%, 75%, and 100%

Answers

Answer:

100% = 14

75% = 10.5

25% = 3.5

Answer:

100% = 1475% = 10 1/250% = 725% = 3 1/2

Step-by-step explanation:

50% if a number is also 1/2 of that number. So, we multiply 7 by 2 to get 14.

Now we know that we need to solve for 25%, 75%, and 100% of 14.

100% of a number is just that number, so 100% of 14 is 14.

To solve for 75% of 14, we multiply 3/4 by 14.

3/4 x 14/1 = 42/4 = 10 1/2

The final number to solve for is 25% of 14.

1/4 x 14/1 = 14/4 = 3 1/2

What do you do if the divisor (the number you're dividing
by) is greater than the dividend (the number that is
being divided)?

Answers

Answer:

you can use decimals

Step-by-step explanation:

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