The 6th term is 22 and the common difference is 6. what is the 50th term

Answers

Answer 1

Answer: The general formula for an arithmetic sequence is:
a(n) = a + d(n - 1)

a : first term
d : common difference (6)
n : number of the term

In your example, you are told the 6th term is 22.
a(6) = a + 6(6 - 1) = 22
a + 30 = 22
a = 22 - 30
a = -8

So now you have the general formula:
a(n) = -8 + 6(n - 1)

If you like you can simplify it:
a(n) = -8 + 6n - 6
a(n) = 6n - 14

Then you can plug in n = 50:
a(50) = 6(50) - 14
= 300 - 14
= 286

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Billy is organizing his closet he has clothing bins that measures 20 inches high 18 inches wide and 14 inches long how many Bins does he need if its 60 inches long inches 36 inches deep and 72 inches high?

Answers

ok so find volume of box and find how many volumes of box will be at least volume of closet
V=LWH

Vbin=20*18*14
Vbin=5040 in^3

Vcloset=60*36*72
Vcloset=155520 in^3

how many Vbins=1Vcloset?
how many 5040=155520
divide both sides by 5040
how many=30.8
round up
31 bins will hold all stuff
but only 30 can fit in closet, but will not hold al stuf

30 in
is the answere that i had gottent

What are the slopes of line A and line B? Look at the picture

Answers

we can mark points on the graph shown , check the image I have shared with this for the points .

Formula for slope = $(Y2-Y1)/(X2-X1)$

So for Line A points are (1,3) and (0,-1)

So using t he formula slope is = $(-1-3)/(0-1)$

slope of line A =4

For Line B the points are (0,4) and (3,-5)

So using t he formula slope is = $(-5-4)/(3-0)$

slope of line B = -3

A cylinder has a radius of 8 cm and a height of 14 cm.What is the volume of the cylinder?

A.
112π cm3

B.
224π cm3

C.
896πi cm3

D.
3584π cm3

Answers

Looking at all of the answers, the only answer that makes sense and is the CORRECT answer is 896πi cm3

Jane,Andre,and Maria pick apples. Andre picks three times as many pounds Maria. Jane picks two times pounds as Andre. The total weight of apples is 840 pounds. How many pounds of apples does Andre pick?

Answers

Andre picked up almost 253 pounds of apples from a total of 840 pounds.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given are Jane, Andre, and Maria. All of them are picking apples such that Andre picks three times as many pounds as Maria. Jane picks two times pounds as Andre and the total weight of apples is 840 pounds

Assume that Maria took (x) pounds of apples.

Then, Andre will pick (3x) pounds of apples.

Finally, Jane will pick up (6x) pounds of apples.

The total weight of apples is 840 pounds.

Therefore, we can model the situation as follows -

x + 3x + 6x = 840

10x = 840

x = 84

So, Maria took 84 pounds of apples.

Now, the apples picked up by Andre = 3x = 3 x 84 = 252 pounds of apples

Therefore, Andre picked up almost 253 pounds of apples from a total of 840 pounds.

To solve more questions on Equation modelling, visit the link below-

brainly.com/question/708897

#SPJ2

Andre picks 252 pounds of apples.

Further explanation:

Jane, Andre and Maria pick apples such that the apples picked by Jane are denoted by J, the apples picked by Andre are denoted by A and the apples picked by Maria are denoted by M.

The total weight of apples is 840 pounds.

Therefore, this can be written as,

${\text{J + A + M}} = 840$ ...... $(1)\n$

Andre picks three times as many pounds Maria then . ${\text{A=3M}}$ .

Jane picks two times pounds as Andre then . $J = 2A$ .

Substitute 3M for A in the equation $J = 2A$ to obtain relation between J and M as,

$\begin{aligned}{\text{J}}&={\text{2A}}\n&= {\text{2}}\cdot{\text{3M}}\n&={\text{6M}}\end{aligned}$

Now, substitute 3M for A and 6M for J in equation (1) then we get,

$\begin{aligned} {\text{6M + 3M + M} &= 840}\n{\text{10M}& = 840}\n{\text{M}& = 84}\n\end {aligned}$

Therefore, Maria picks 84 pounds of apples.

Substitute the obtained value of $M$ as 84 in equation $J = 2A$ as,

$\begin{gathered}{\text{J}}={\text{6}}\cdot {\text{84}}\n={\text{504}}\n\end{gathered}$

Therefore, Jane picks 504 pounds of apples.

Substitute the obtained value of $M$ as 84 in equation $J = 6M$ as,

$\begin{gathered}{\text{A}}={\text{3}}\cdot {\text{84}}\n={\text{252}}\n\end{gathered}$

Therefore, Andre picks 252 pounds of apples.

Thus, the total quantity that Andre picks is $\boxed{{252}\text{ } \text{pounds}}$ .

Learn more:

1. Learn more about the equation of the circle brainly.com/question/1952668

2. Learn more about the center and radius of circle equation brainly.com/question/9510228

3. Learn more about general form of the equation of the circle brainly.com/question/1506955

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Linear equations

Keywords: Linear equations, function, sets, real numbers, ordinates, abscissa, interval, open interval, closed intervals, semi-closed intervals, semi-open intervals, graph.

Over what interval is the function in this graph constant?

Answers

Answer:b

Step-by-step explanation:

Answer: B) 1 ⩽ x ⩽ 6

Step-by-step explanation: took the quiz.

What is greater than 6200 feet or one mile and 900 feet

Answers

One mile is 5280 feet, so when you add 900 to that, it ends up being 6180 feet, so 6200 feet is greater.

We should convert either of them to have the same unit to compare.

1 mile = 5280 feet

Add 1 mile (in feet) to 900 feet.
5280 + 900 = 6180 feet

6200 feet > 6180 feet

6200 feet is greater

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