All categories

3 years ago

PLZ HELP URGENT GET THE BRAINLIEST AND MORE POINTS

Mathematics

1 answer:

lord [1]3 years ago

7 0

Answer:

The 27th term is 22

Step-by-step explanation:

Let the first term is a and common difference is d.

The nth term is:

aₙ = a + (n - 1)d

We have:

a₆ = 15
a₉ = 16

The difference of these terms is:

(a + 8d) - (a + 5d) = 16 - 15
3d = 1
d = 1/3

Then the first term is:

a + 5*1/3 = 15
a = 15 - 5/3 = 13 1/3

The nth term equation is:

aₙ = 13 1/3 + 1/3(n - 1) = 1/3n + 13

If the nth term is 22, find n:

1/3n + 13 = 22
1/3n = 22 - 13
1/3n = 9
n = 9*3
n = 27

You might be interested in

Use the table shown in the image! 1. Which equation expresses “y” in terms of “x”? A. y=17x B. y=25x C. x=51y D. x=85y 2. What i

levacccp [35]

Answer: 1. A. y=17x

2. $59.50

Step-by-step explanation:

1. In the table , it can be seen that as x increases y increases with the proportionality constant k = $\dfrac{y}{x}=\dfrac{51}{3}=\dfrac{85}{5}=\dfrac{119}{7}=17$ ,.

Equation of direct variation between x and y : $y=kx$

Put k= 17 , we get

$y=17x$ , which is the required equation.

So correct option is "A".

2. To find : The charge for renting a machine for 3.5 hours.

Put x= 3.5 in above equation , we get

$y=17(3.5)=59.5$

Hence, the charge for renting a machine for 3.5 hours is $59.50.

So correct option is "B".

3 0

3 years ago

Read 2 more answers

Solve for y, give the slope and y intercept 5y=20, -y + 3=15x, y +1/3x=17

qaws [65]

$5y=20$ Equation

$y=4$ Divide by 5 on both sides

$5(4)=20$ Plug in for y

$20=20$ Simplify

y=4
slope= 0
y-intercept= 4

$^{-}y+3=15x$ Equation

$^{-}y=15x-3$ Subtract 3 from both sides

$y=-15x+3$ Divide both sides by -1

$- (^{-}15x+3) +3=15x$ Plug in for y

$15x-3+3=15x$ Distribute -1 into the parenthesis

$15x=15x$ Further simplified

y= -15x+3
slope= -15
y-intercept= 3

$y+ \frac{1}{3}x=17$ Equation

$y=^{-}\frac{1}{3}x+17$ Subtract 1/3x from both sides

$(^{-}\frac{1}{3}x+17 )+\frac{1}{3}x =17$ plug in for y

$17=17$ Simplify

y= -1/3x+17
slope= -1/3
intercept= 17

8 0

3 years ago

Use the present value formula to determine the amount to be invested now, or the present value needed.

rjkz [21]

Answer:

Present value is $29,086.21.

Step-by-step explanation:

$PV =\frac{40000}{(1+\frac{0.029}{12} )^{11*12} }=29,086.21$

8 0

3 years ago

Sally and Eddy had a total of $580 after spending $80 and eddy had 240 left how much money does Sally have?

levacccp [35]

Answer:

260

Step-by-step explanation:

8 0

3 years ago

Write out each step for converting 3 4/5 into an improper fraction (or a fraction greater than a whole).

d1i1m1o1n [39]

Answer:

19/5

Step-by-step explanation:

1. multiple 3 x 5= 15

2. add 15+4

3. put it over 5: 19/5

8 0

3 years ago