4(8-6)+2(4+8)


Solve?

Sum of 8th & 4th terms of an AP = 24

Sum of 6th & 10th terms = 44

A.P.

We know that,

nth term of an AP = a + (n - 1)d

Hence,

⟹ a + (8 - 1)d + a + (4 - 1)d = 24

⟹ a + 7d + a + 3d = 24

⟹ 2a + 10d = 24 -- equation (1)

Similarly,

⟹ a + 5d + a + 9d = 44

⟹ 2a + 14d = 44 -- equation (2)

Subtract equation (1) from (2).

⟹ 2a + 14d - (2a + 10d) = 44 - 24

⟹ 2a + 14d - 2a - 10d = 20

⟹ 4d = 20

⟹ d = 20/4

⟹ d = 5

Substitute the value of d in equation (1).

⟹ 2a + 10(5) = 24

⟹ 2a = 24 - 50

⟹ 2a = 24 - 50

⟹ 2a = - 26

⟹ a = - 26/2

⟹ a = - 13

We know,

General form of an AP is a , a + d , a + 2d...

Hence,

⟹ required AP = - 13 , - 13 + 5 , - 13 + 2(5)...

⟹ required AP = - 13 , - 8 , - 3....

I hope it will help you.

Regards.

Answer:

Use semi-log paper for plotting Y = log y instead of y against x.

The graph is the straight line Y = (log 2) x + log 5.

Explanation:

y is function of the form

b

a

x

.

Semi-log graph is good for revealing such relationship for experimental data [(x, y)] through plots in the proximity of a straight line.

Here, taking logarithms,

Y = log y = log 5 + x log 2.= m x + c.

Slope

d

Y

d

x

is log 2 and Y-intercept is 5 on the log scale.

Graduations will show 1 unit Y = log 10. So, log 2 = 0.3019 unit of Y.

Step-by-step explanation:

y is function of the form

b

a

x

.

Semi-log graph is good for revealing such relationship for experimental data [(x, y)] through plots in the proximity of a straight line.

Here, taking logarithms,

Y = log y = log 5 + x log 2.= m x + c.

Slope

d

Y

d

x

is log 2 and Y-intercept is 5 on the log scale.

Graduations will show 1 unit Y = log 10. So, log 2 = 0.3019 unit of Y

Answer:

Opens up with a vertex at (5,-4)

Step-by-step explanation:

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

here's the answer hope this helps :)

Answer:

D. x2 + 6x + 9

Step-by-step explanation:

For anyone who didn't understand the above answer^^

Given :

Money Katie has, M = $30.

She has found a bracelet with a regular price of $45 and a discount of 35%.

The sales tax is 7%.

To Find :

Will she have enough to buy the bracelet.

Solution :

Original price = $45 .

Price after discount = $( 45 - 45×0.35) = $29.25 .

Selling Price = $( 29.25 + 29.25×0.07 ) = $31.2975 .

Since, selling price is greater than $30.

Money needed = $( 31.2975 - 30 ) = $1.2975 .

Therefore, Katie will not buy the bracelet.

Answer:

Step-by-step explanation:

y + 140 = 180       {linear pair}

        y = 180 - 140

        y = 40

If any pair of exterior angles are congruent , then the lines  r and s will be parallel

5x - 5 = 40

     5x = 40 + 5

     5x = 45

       x = 45/5

x = 9

The value of x = 9  will make lines r and s parallel.

Answer:

(3,2)

Step-by-step explanation:

I hope this helps : )

Answer:

Hope this solution helps you. Sorry for the handwriting .

Answer:

w * w+2 = area of the shed

Step-by-step explanation:

Well you just do the width times the width plus two. (please Brainliest)

Answer:

What is the least number of plates and cups she can buy?

The least number of cups of plates and cups she can buy is 24

How many packs of plates?

3 packs of plates

How many packs of cups?

2 packs of cups

Step-by-step explanation:

What is the least number of plates and cups she can buy?

We solve this using the Lowest Common Multiple method

The L.C.M of 8 and 12

Multiples of 8: 8, 16, 24, 32, 40

Multiples of 12: 12, 24, 36, 48

Therefore,

LCM(8, 12) = 24

Hence, the least number of cups and plates she can buy is 24

How many packs of plates?

Plates are sold in packs of eight

Hence: 24 ÷ 8 = 3 packs of plates

How many packs of cups?

Cups are sold in packs of 12

Hence: 24 ÷ 12 = 2 packs of cups

Hi! I believe your answer is 80 newborn babies. To find the number of boys, divide 48 by 3 (since it is for every 3 girls) and you'll get 16. Next, multiply 16 and 2 (for every 2 boys) and you'll get 32. Lastly, add 48 and 32 and you'll get the number of newborn babies in the nursery (80). I hope this helps you! Good luck and have a great day. ❤️✨

Number of total newborn babies = 80

A ratio can be defined as the relationship or comparison between two numbers of the same unit to check how bigger is one number than the other one.

Given,

Total number of girls = 48

For every 3 girls, there are 2 boys.

Ratio of girls to boy = 3/2

Let there are x boys,

then,

48/x = 3/2

3x = 96

x = 32

Number of boys = 32

Total newborn babies = Number of girls + number of boys

                                     = 48 + 32 = 80

Hence, 80 newborn babies are in nursery.

Learn more about ratio here:

https://brainly.com/question/1504221

#SPJ2

Answer:

20/3 or 6 2/3

Step-by-step explanation: 4/1 times 5/3           multiply and you get 20/3

Answer:

6 2/3

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

The 2 angles shown are corresponding angles and congruent, thus

8x - 17 = 5x + 19 ( subtract 5x from both sides )

3x - 17 = 19 ( add 17 to both sides )

3x = 36 ( divide both sides by 3 )

x = 12

Answer:

yes. y-=25x

Step-by-step explanation:

Answer:

its 40

Step-by-step explanation:

Answer:

Step 1

Step-by-step explanation:

Answer:

the best way I can explain this is that you have to simplify and you get the other ratio. think of them as fractions.

Answer:

so, look at the percentage, since -20 is lower, it is least likely, next is  10%, next s the 30% and last, the 4/5th. 4/5 simplified is 80% or 80 out of 100

Step-by-step explanation:

Answer:Greatest to least.

4/5

30%

10%

-20

Step-by-step explanation:

Answer:

c.  A line of credit with a fixed total amount.

Step-by-step explanation:

EDGE 2020

Answer:

C. A line of credit with a fixed total amount.

Step-by-step explanation:

Answer:

0.22222222

Step-by-step explanation:

Hope this helps!!!

Answer:

0.22222222

Step-by-step explanation:

you have to divide 2 by 9.

Answer:

3:4 and 15:20

Step-by-step explanation:

The answer is the fourth one because 3:4 and 15:20 are equivalent, so there's your answer. Hope it helps!

Answer:

The slope of the line is 1. The equation of the line is 1x + 5.

Step-by-step explanation:

The process is simple. It is y2 - y1 over x2 - x1. Plug in the value of the coordinates to get 12 - 10 over 7 - 5. That leaves you with 2 over 2, which is 1. If you need the equation, it is 1x + 5. Plug in the value of the coordinates to check your work.

Answer:

see below

Step-by-step explanation:

h(t)=-16t^2+48t+64

Find when h(t) = 64

64 = -16t^2+48t+64

Subtract 64 from each side

0 =  -16t^2+48t

Factor

0 = -16t( t-3)

Using the zero product property

-16t =0    t-3 =0

t=0 and t=3

Other than at t=0,  so at t=3 seconds

How long will it take for f ball to reach its maximum height?

Find the vertex

t = -b/2a = -48 / ( 2 * -16) = -48/ -32 = 1.5 seconds

It will reach the maximum height at 1.5 seconds

What is the maximum height reached by the ball?

The height will be

h(1.5) = -16*(1.5)^2+48(1.5)+64

       = -36+72+64

       = 100

The maximum height is 100 ft

How long will it take for the ball to hit the ground?

h(t) =0

0=-16t^2+48t+64

Factor

0 = -16( t^2 - 3t -4)

0=- 16( t-4) (t+1)

Using the zero product property

t-4=0     t+1=0

t =4     t = -1

Since time cannot be negative

t=4 seconds

Answer:

x = 3

Step-by-step explanation:

The steps I show will be listed from first-to-last.

-1/3x + 5 = -4 (Distribute)

-1/3x = -9 (Subtract 5 from both sides)

x = 3 (Multiply both sides by -3)

Answer:

D

Step-by-step explanation:

Answer:

HJ

Step-by-step explanation:

Answer:

(x-2)^2 x (x+2)^2

Step-by-step explanation:

Answer:

????????????????????

Answer:

I think 11037 is a clue to tell what the murder is

Step-by-step explanation:

Answer:

15.87%

Step-by-step explanation:

Given that :

Mean (m) = 2.51

Standard deviation (σ) = 0.44

Percentage of students with grade point average no more than 2.07

Using the relation :

Zscore = (X - mean) / standard deviation

X = 2.07

Zscore = (2.07 - 2.51) / 0.44

Zscore = - 0.44 / 0.44

Zscore =. - 1

P(Z < - 1) : using the z table

P(Z < 1) = 0.1587

Hence, Percentage of students with grade point average no more than 2.07 is (0.1587 * 100%) = 15.87%

Answer:

40k per hour is faster

mark me as branliest plz