the ratio of the 6th and 8th term of an ap is 7:9. find the ratio between the sum of its first 10 terms to sum of its first 20 terms

Answers

Answer 1

Step-by-step explanation:

Tn = a + (n-1)d

where a is the first term, d is the common difference and n is the nth term

For the 6th term: T6 = a + (6-1)d

= a + 5d

For the 8th term: T8 = a + (8-1)d

= a + 7d

From the question (a + 5d)/(a + 7d) = 7/9

From the Equation above, we can say that;

a + 5d = 7......1

a + 7d = 9.....2

Solving equations 1 & 2 simultaneously, we have that a = 2 and d = 1

Sn = n/2[2a + (n-1)d]

where Sn is the sum of nth terms, n is the nth term, a is the first term and d is the common difference.

By substituting the values gotten into this equation. You would be able to find the ration between the sum of the first 10 terms to the sum of the first 20 terms

Answer 2

Answer:

see analysis for detailed explanation

The Ratio Of The 6th And 8th Term Of An Ap Is 7:9. Find The Ratio Between The Sum Of Its First 10 Terms

Related Questions

How many solutions does the inequality x>12 have?

Answers

Answer:

infinte

Step-by-step explanation:

The answer is anything greater than 12 so it would be infinte

What is the square root of –16?
–8i
–4i
4i
8i

Answers

4i
to get the square root of a negative number u just do it as if it wasn’t negative and add the little i at the end to symbolize that it was negative

Each ticket to a school dance is $4. The total amount in ticket sales is $332. Write and solve an equation to find the number of students attending the dance.

Answers

Answer:

a. 4x = 332

b. 83 students

Step-by-step explanation:

Write equation:

4x = 332

Since we know that each ticket per student is $4, we can use "x" as our variable for the number of students

_________________________________________-

Solve

4x = 332

/4       /4

____________

x = 83 students

Hope this helps :)

Please help I will give brainliest.

Answers

Answer:

c = 9

Step-by-step explanation:

You're looking for a number so that when you use that number in place of x, you end up with 20.

f(x) = 3x - 7

f(c) = 3c - 7

20 = 3c - 7

Add 7

27 = 3c

Divide by 3

9 = c

Multiply. Write your answer as a fraction in the simplest form 3 x 7/12

Answers

[tex]3\times \dfrac 7{12} = \dfrac{3 \times 7}{12}=\dfrac{3 \times 7}{3 \times 4} = \dfrac 74[/tex]

How do you divide a number by a fraction?
For example, how would I go about solving this problem?

:

200.96 ÷ 3/4 =

Detailed answers only please.

Answers

There are a couple of different ways we can do this: change the fraction into a decimal or multiply by the reciprocal.

Change the Fraction Into a Decimal

---3/4 = 0.75

So, instead of using the fraction, we can put it into decimal form. We will need to move the decimal point in both numbers though, making our division problem as follows:

20096 / 75 = ?

---The decimal point was moved two places to the right in order to make the former fraction a whole number.

Multiply by the Reciprocal

---To find the reciprocal, switch the numerator and denominator, essentially "flipping" the fraction upside down.

Another way of dividing by fractions is multiplying by the reciprocal. For example, dividing a number by 3 is the same thing as multiplying by 1/3. We can do the same in this problem. Instead of dividing by 3/4, we can multiply by 4/3, making our problem look as follows:

200.96/1 x 4/3 = ?

Answer: 803.84 / 3 = 267.9467

Hope this helps!

help PLEASEE! Might post a lot of these sorry


(For some reason it keeps posting the same question multiples times)

Answers

Answer:

A = 189 sq units

Step-by-step explanation:

You can cut the shape up into pieces. See image. There are two rectangles and a triangle. Some sides are given:

rectangle: 16 × 8

sm rectangle: 3 × 4

Some sides you have to add to find (the height of the whole entire thing: 16+4+4)

Some lengths you have to subtract to find (height of the triangle: 24 - 10).

Area of a rectangle:

length × width OR

base × height

Area of a triangle:

1/2 • b • h

Add up all three areas. See image.

If m greater-than-or-equal-to n, which inequalities must be true? check all that apply. m 2.1 greater-than-or-equal-to n 2.1 m - (-4) greater-than-or-equal-to n -(-4) m - 3 greater-than-or-equal-to n 3 16.5 m greater-than-or-equal-to 16.5 n m greater-than-or-equal-to n one-half 6 m greater-than-or-equal-to 9 n

Answers

The true statements are m + 2.1 > n + 2.1, m - (-4) > n - (-4) and 9 + m > 6 + n

How to determine the true statements?

The inequality is given as:

m > n

When the same constant k is added to both sides of the inequality, we have:

m + k > n + k

This means that the following inequality is true

m + 2.1 > n + 2.1

When the same constant k is subtracted from both sides of the inequality, we have:

m - k > n - k

This means that the following inequality is true

m - (-4) > n - (-4)

Also, if a greater constant is added to m, then the inequality still remains the same.

This means that the following inequality is true

9 + m > 6 + n

Hence, the true statements are m + 2.1 > n + 2.1, m - (-4) > n - (-4) and 9 + m > 6 + n

Read more about inequalities at:

https://brainly.com/question/25275758

#SPJ4

Answer:

It´s actually A, B, D

Step-by-step explanation:

Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are exactly that.
See picture for full problem. Please and thank you so very much.

Answers

Answer:

50 degrees

Step-by-step explanation:

the attached photo might help

Which is the best buy?
Pack of 8 apples for £1.65
Pack of 6 apples for £1.25

Answers

Answer:

Pack of 6 apples for £1.65 is better because the price of 1 apple is less in this answer.

NEED HELP: There are approximately 3.1 miles in 5 kilometers. Thaddeus is supposed to ride his bike for 20 kilometers for a charity ride.


Part A: How many meters are in this ride?


Part B: How many miles are in this ride?

Answers

Part A: 1 kilometer = 1000 meters
20 kilometers = 20 * 1000
= 20000m
Part B: 5 kilometer = 3.1 miles

20 kilometer = 4 * 3.1
= 12.4 miles

Find the value of x. (4x + 12)° 64°​

Answers

Answer:

C. 13

Step-by-step explanation:

the angle of measure 4x + 12 and the angle of measure 64 are Vertically opposite angles then they are equal in measure

therefore

4x + 12 = 64

⇔ 4x = 64 - 12

⇔ 4x = 52

⇔ x = 52/4

⇔ x = 13

Jerry has a new job and earns a
salary of $45,000. Victoria has a new
job and earns a salary of $54,000.
Jerry will receive a salary increase of
$2,500 per year, and Victoria will
receive a salary increase of $1,500
per year.
45.0
54.0
45.0
540
Which equation can be used to find x
the number of years it will take
Jerry to earn the same salarv as
Victoria?

Answers

Jerry has a new job earns a
salary om as
Victoria 2500

1500x54 =

Lydia is planning an event for 275 people. She wants to find out the food preferences for the guests, so she surveys 60 guests and discovers that 45 of those guests prefer chicken and 15 prefer fish. What is the sample for the survey?

Answers

Answer:

sample size is the number of individuals in the sample and the sample is 60 guests.

Step-by-step explanation:

She wants to find out the food preferences for the guests, so she surveys 60 guests and discover 45 of those guests prefer chicken and 15 prefer fish.

The sample is 60 guests.

Factor −4x^2 +6x. Is this a special product?

Answers

The special product is -2(2x - 3)x

4 1/2 - 1 8/10 please

Answers

Answer:

Down below!!

Step-by-step explanation:

Exact Form:

27/10

Decimal Form:

2.7

Mixed Number Form:

2 7/10

Answer:

4 1/2 - 1 8/10 =  2 7/10

Step-by-step explanation:

Step 1 : Start by making the mixed fraction into improper fractions

4 1/2 = 9/2

(For the fraction 1 8/10,  make sure to simplify 8/10!)

9/2 - 1 4/5 = 9/2 - 9/5

Step 2: Next find a common denominator for both the improper fractions.

9/2 x 5/5 = 45/10

9/5 x 2/2 = 18/10

45/10 - 18/10 = 27/10

Step 3: Now, make the improper fraction into a mixed number

27/10 = 2 7/10

So this shows us that 4 1/2 - 1 8/10 =  2 7/10! Hope this helps! :D

Work out
(
1.8
×
10

3
)
÷
(
2
×
10

7
)
Give your answer in standard form

Answers

Answer:

1.15

Step-by-step explanation:

(1.8*10-3)/(2*10-7)

(18-3)/(20-7)

15/13

1.15

..................

Given:
f(x)=x^2
g(x)=x-1
Find f(g(2))+g(f(-1))

Answers

Answer:

1

Step by step explanation:

[tex]\text{Given that,} ~ f(x) = x^2~ \text{and}~ g(x) = x-1\\\\g(2) = 2-1 = 1\\\\g(f(-1)) = g(1) = 1-1 = 0\\\\f(g(2) + g(f(-1)))= f(1+0) = f(1) = 1^2 =1[/tex]

Answer:

g(2) = 2 - 1 = 1 \\ f( -1 ) = { - 1}^{2} = 1 \\ f(1) + g(1) = \\ f(1) = {1}^{2} = 1 \\ g(1) = 1 - 1 = 0 \\

[tex]g(2) = 2 - 1 = 1 \\ f( -1 ) = { - 1}^{2} = 1 \\ f(1) + g(1) = \\ f(1) = {1}^{2} = 1 \\ g(1) = 1 - 1 = 0 \\ 1 + 0 = 1 \\ [/tex]

Please help me I’m really bad at geometry

Answers

Answer:

x+15=180(being co-interior angle)

x=180-15

x=165

If the scores from an intelligence test are normally distributed, then you would predict that the largest number of people would receive an IQ score of _____ on that test.

Answers

Using the normal distribution, it is found that the prediction is that the largest number of people would receive an IQ score of 100 on that test.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

IQ scores have mean of 100, and since in the normal distribution most measures are around the mean, an IQ score of 100 is the prediction.

More can be learned about the normal distribution at https://brainly.com/question/24663213

The Build-Your-Own-Sailboat booth that Althea visited gave her and hers friend the chance to make a sailboat model. Each boy chose a different quadrilateral for a sail. Althea chose a trapezoid, and her friend chose a parallelogram.

(a) Compose each shape into a rectangle to determine the area. The formula for area of a rectangle is A = lw . What is the area of each quadrilateral?

(b) Althea said that all quadrilaterals can be decomposed into triangles to find the area of the quadrilateral. Is this statement always true, sometimes true, or always false? Give two examples to support your answer.

Answers

A quadrilateral is a four sided figure. It is possible to decompose the quadrilaterals to give two triangles by taking apart the diagonal that runs across the figure

What is a quadrilateral?

A quadrilateral is a four sided figure. The images are not shown here so we don't know what the dimensionof each figure is.

It is possible to decompose the quadrilaterals to give two triangles by taking apart the diagonal that runs across the figure and find the area of the two triangles in order to obtain the area of the orginal figure.

Learn more about  quadrilateral: https://brainly.com/question/13805601

In the figure below

Answers

if the question is to solve for x then x=51 degrees
I think it might be 39?

What is the surface area?

Answers

Answer:

24 ft^2

Step-by-step explanation:

The srface area consisists of 2 triangles and 3 rectangles.

Surface area = 2 * 1/2 *4 * 3 + 1*4 + 1*5 + 1*3

= 12 + 4 + 5 + 3

=  24 ft^2.

Describe the characteristics of this scatterplot.

Answers

The characteristics of this scatter plot

D⇢positive O⇢No outliersF⇢LinearS⇢Moderate

Hence ,this scatter plot has Moderately postive linear relationship without any outliner


Is there any bias in the following survey question? Explain.
Do you prefer delicious chocolate ice cream or boring vanilla ice cream?

Answers

Answer:

yes this contains bias.

Step-by-step explanation:

the person who wrote the question included their own opinion which makes the question bias

Yes, the survey question that is delicious chocolate ice cream or boring vanilla ice cream bias.

What is bias?

Bias in statistics, is a term defines "the tendency of measurement process".

According to the question,

The survey is about, you prefer delicious chocolate ice cream or boring vanilla ice cream.

In order to find is this survey is biased.  Yes, the survey is biased .

Because the surveyor insists his/her own opinion in the survey by using the word 'boring' vanilla.

Hence, survey question is bias.

Learn more about bias here

https://brainly.com/question/17514887

#SPJ2

Pleas help. 5 Divided by 1/8

Answers

[tex]\dfrac{5}{\tfrac 18} = 5 \times \left(\dfrac 18 \right)^{-1}= 5\times 8 = 40[/tex]

Answer:

40

Step-by-step explanation:

[tex] \frac{5}{1} \div \frac{1}{8} [/tex]

[tex] \frac{5}{1} \times \frac{8}{1} [/tex]

[tex]40[/tex]

In the figure below, all lines intersect at point W. What is the value of angle VWX?*

Answers

Answer: 55

Step-by-step explanation:

Angle VWX and the 55 degree angle are vertical angles.

hard question help!!!!

Answers

Answer:

B

Step-by-step explanation:

How do I solve this I have no idea 9(x-3)*2= 36

Answers

Answer:

Your answer is 5  

Step-by-step explanation:

Tell me if im wrong

Answer:

0

Step-by-step explanation:  

Times -1=0                                                                                  

5. During a game of golf, Kayley hits her ball out of a sand trap. The height of the golf ball is modeled by the
equation h=-16r² + 20 - 4, where h is the height in feet and is the time in seconds since the ball was hit.
Find how long it takes Kayley's golf ball to hit the ground.
a. Write the equation that you are trying to solve.
b. Solve the equation by factoring.

Answers

Answer:

(a) [tex]\sf -16r^2+20r-4=0[/tex]

(b)  r = 1,  r = 1/4

Step-by-step explanation:

Given equation:   [tex]\sf h=-16r^2+20r-4[/tex]

where:

h = height (in feet)t = time (in seconds)

Question (a)

The ball will hit the ground when h = 0

[tex]\sf \implies-16r^2+20r-4=0[/tex]

Question (b)

To factor [tex]\sf -16r^2+20r-4=0[/tex]

Divide both sides by 4:

[tex]\sf \implies-4r^2+5r-1=0[/tex]

Swap signs:

[tex]\sf \implies 4r^2-5r+1=0[/tex]

Split middle term:

[tex]\sf \implies 4r^2-4r-r+1=0[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\sf \implies 4r(r-1)-(r-1)=0[/tex]

Factor out common term (r - 1):

[tex]\sf \implies (4r-1)(r-1)=0[/tex]

Therefore:

[tex]\sf \implies (4r-1)=0 \implies r=\dfrac14[/tex]

[tex]\sf \implies (r-1)=0 \implies r=1[/tex]

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