The seventh term of an A.P is 15 and the fourth term is 9. Find the first term and common difference

Answers

Answer 1
The first term would be 3. The common difference would be +3

Related Questions

Will mark brainliest please help ASAP Complete the square to find the vertex of this parabola x^2-14x+4y+29=0

Answers

Answer:

(7,5)

Step-by-step explanation:

Plz help me giving brainliest

Answers

Answer:

A. 80

Step-by-step explanation:

Count the first top half and you get 40 and you will know the bottom half is 40

which altogether is 80 or you can count the blocks one by one or count the blocks on the right side count the top blocks by five across.

V= l*w*h

V= 5*4*4

V= 80

Hope this Helps! :)

Have a nice day! :)



y is directly proportional to x.
When y = 30, x = 6
a) Work out an equation connecting y and x.
b) Work out the value of y when x=12

Answers

If y is directly proportional to x then y:x.
When y = 30, x = 6 then 30/6 = 5:1. Therefor for every 1x there is 5y vice versa. When x = 12, then y = 5 * 12 = 60.
Therefore y = 60 hence 60:12

Can someone help with work included!!

Answers

Answer:

Heather

Step-by-step explanation:

If you use pythagorean theorm you can set up the equations for each girl.

For Heather, 12^2+5^2=13^2 and you determine if this is true. Each side equals 169 so therefore the equation is true.

How many 2/5 cup servings are in 9/5 cups of ice cream? (in simplest fraction form)

Answers

Answer:

4 1/2 cups of ice cream

Step-by-step explanation:

since the denominators are the same, we look at the numerator.

2 x 4 = 8 out of 9 cups

Consider the conversion of the speed 156 feet per second to kilometers per hour. Which TWO statements are correct? A) 156 ft/s = 11,232 in/min B) 156 ft/s = 112,320 in/min Eliminate C) 156 ft 1s x 1min 60s x 12in 1ft D) 156 ft 1s x 60s 1min x 1ft 12in E) 156ft 1s x 60s 1min x 12in 1ft
I NEED THE ANSWER ASAP

Answers

Answer:

If your doing it on usa tp and have a through e is b and e

Step-by-step explanation:

The two (2) statements that are correct about this conversion are:

B) 156 ft/s = 112,320 in/min

E) 156ft 1s x 60s 1min x 12in 1 ft.

Given the following data:

Speed = 156 feet per seconds.

To convert the value of speed in feet per seconds to kilometers per hour:

What is speed?

Speed can be defined as the distance covered by an object per unit time. Also, it is usually measured in meter per seconds (m/s).

Conversion:

1 ft/s = 1.09728 km/hr.

156 ft/s = X km/hr.

Cross-multiplying , we have:

[tex]X=156 \times 1.09728[/tex]

X = 171.1757 km/hr.

Note:

1 feet = 12 inches.

156 feet = [tex]156 \times 12[/tex] = 1872 inches.

Next, we would convert this value to inches per minute:

156 ft/s = [tex]1872 \times 60[/tex] = 112,320inches per minute.

Therefore, the two (2) statements that are correct about this conversion are:

B) 156 ft/s = 112,320 in/min

E) 156ft 1s x 60s 1min x 12in 1 ft.

Read more on speed here: https://brainly.com/question/10545161

58 Select the correct answer. An investment banking house conducted a survey to determine how two of its proposed investment plans for three different age categories are used. This table shows the responses they received. Plan l Plan II Neither 19 14 17 Ages 26-35 Ages 36-45 Ages 46-55 14 28 8 00 27 21 2 What percentage of people preferring plan I are from the 36-45 age group, and what percentage of people from the 46-55 age group prefer plan II? Round your answers to the nearest whole number. OA 2396 of people who prefer plan I are from the 36-45 age group, and 42% of people from the 46-55 age group prefer plan II . O B. 28% of people who prefer plan I are from the 36-45 age group, and 42% of people from the 46-55 age group prefer plan II. 2396 of people who prefer plan I are from the 36-45 age group, and 33% of people from the 46-55 age group prefer plan II. 28% of people who prefer plan I are from the 36-45 age group, and 33% of people from the 46-55 age group prefer plan II. OD es reserved​

Answers

Answer:

23% of people who prefer plan I are from the 36–45 age group, and 42% of people from the 46–55 age group prefer plan II.

Step-by-step explanation:

___________Plan I___ Plan II ___Neither

Ages 26–35__ 19_____ 14_______ 17

Ages 36–45__ 14 _____28_______ 8

Ages 46–55__ 27 _____21_______ 2

Total Number who prefer plan 1 = (19 + 14 + 27) = 60

Number in the 36 - 45 age group = 14

Percentage = 14 / 60 = 0.2333 = 23%

Number of people in the 46-55 age group = (27 + 21 + 2) = 50

Number on the age group who prefer plan II = 21

Percentage = 21 / 50 = 0.42 = 0.42 * 100 = 42%

Circle has a circumference of 38 cm
What is the length of the radius,
6 cm
18 om
36 cm
72 cm

Answers

[tex]circumference \: of \: circle \: = 2 \: \pi \: r[/tex]

38 = 2πr

r = 38/2π

r = 38÷6.28

r = 6 cm

Suppose that the length of a certain rectangle is two centimeters more than three times its width. If the area of the rectangle is 85 square centimeters, find its length and width

Answers

Answer:

width = 5 in

length = 17 in

Step-by-step explanation:

Area of a rectangle = length x width

width = w

length = 2 + 3w

85 = (w) x (2 + 3w)

85 = 2w + 3w³

this can be solved using quadratic equation

3w³ + 2w - 85 = 0

factors of 3w³ x -85 that add up to 2w are : +17 w and -15w

(3w³ - 15w) (17w - 85) = 0

3w(w - 5) 17(w - 5) 0

w = 5

or w = - 17/3

the width cannot be a negative number. the correct width is 5 in

Length = 2 x 3(5) = 17 inches

At the beginning of 2007, the population of a certain state was 55.4% rural and 44.6% urban. Based on past trends, it is expected that 15% of the population currently residing in the rural areas will move into the urban areas, while 21% of the population currently residing in the urban areas will move into the rural areas in the next decade. What was the population distribution in that state at the beginning of 2017

Answers

Answer:

New Rural Urban distribution = 56.4 , 43.4

Step-by-step explanation:

Let the total population be = 100

The rural urban distribution = 55.4% & 44.6% of 100 = 55.4 & 44.6 respectively

Given , 15% of rural population shifts to urban. So, 15% of 55.4 ie = 8.31 shift from rural to urban.

Also, 21% of urban population shifts to rural. So, 21% of 44.6 , ie = 9.36 shift from urban to rural.

So, New rural population = old rural - rural to urban shift + urban to rural shift  = 55.4 - 8.31 + 9.36 = 56.39 ≈ 56.4

New urban population = old urban - urban to rural shift + rural to urban shift = 44.6 - 9.36 + 8.31 = 43.55 ≈ 43.4

So, the new distribution is =  56.4 , 43.4

Use a formula to find the amount of wrapping paper you need to wrap a gift in the


cylindrical box shown. You need to cover the top, bottom, and all the way around


the box. Use 3.14 for it.


7 in. height to 9 in. radius

Answers

Answer:

100.48 square inches

Step-by-step explanation:

Surface area of a cylinder = 2πr(r+h)

r is the radius

h is the height

Given

radius = 9in

height = 7in

π = 3.14

Substitute into the formula

Surface area of the cylinder = 2(3.14)(9+7)

Surface area of a cylinder = 2*3.14*16

Surface area of a cylinder = 100.48 square inches

Hence the  amount of wrapping paper you need to wrap a gift in the

cylindrical box is 100.48 square inches

9z - 6+ 7z = 16z - 6

Answers

Answer:

z = z

Step-by-step explanation:

first you should combine like terms on the left side of the equation

9z + 7z = 16z

now rewrite

16z-6 = 16z-6

add 6 to both sides

16z = 16z

divide both sides by 16

z = z

Answer:

Both sides are equal. z has no solution. The input is an identity. It is true for all values.

Step-by-step explanation:

9z - 6 + 7z = 16z - 6

16z - 6 = 16z - 6

Both sides are equal. z has no solution. The input is an identity. It is true for all values.

Simi bought a study table for $ 9000. She sold it at a profit of 20%. How much profit did she make? What is the selling price?

Answers

Answer:

cost price of a table=$9000

profit%=20%

Let profit be x

to find profit use formula,

profit%=profit/cost price*100

20%=x/$9000*100

20*$9000=100x

$180000/100=x

$1800=x

Now to find selling prie os a table use formula,

cost price +profit

$9000+$1800

$91800

therefore selling price of a table is $91800

Step-by-step explanation:

Hope this helps u!!

what is the lcm of 5,3 and 5​

Answers

Answer:

the LCM of those would be 15.

The statement below is a different way to say that the sides of these similar parallelograms are proportional.

Complete the equations that go with the statement.

Answers

The correct statement is [tex]\frac{a}{b}[/tex] = [tex]\frac{t}{s}[/tex] ,  [tex]\frac{b}{c}[/tex] = [tex]\frac{s}{r}[/tex] ,  [tex]\frac{c}{d}[/tex] = [tex]\frac{r}{q}[/tex].

What is Parallelogram?

Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.

Opposite sides are parallel, and the opposite sides and opposite angles are equal.

Similar figures are those figures whose ratio of the length of sides are proportional.

Similar figures only differ in size, their shape is equal.

The sides a, b, c and d in the larger parallelogram is similar to the sides t, s, r and q respectively in the smaller parallelogram.

So we get the ratio b / c equal to the ratio s / r and the ratio c / d equal to the ratio r / q.

Hence the equation that go with the statement two sides of a parallelogram have the same ratio as the corresponding two sides of a parallelogram is  [tex]\frac{a}{b}[/tex] = [tex]\frac{t}{s}[/tex] ,  [tex]\frac{b}{c}[/tex] = [tex]\frac{s}{r}[/tex] ,  [tex]\frac{c}{d}[/tex] = [tex]\frac{r}{q}[/tex].

Learn more about Parallelogram here :

https://brainly.com/question/29147156

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Answer:The first one is 16 and the second one is 18

Step-by-step explanation:

What two number add up to 10 multiply by 24

Answers

Answer:

the two numbers are six and four

Step-by-step explanation: 6+4=10    6x4=24

Ok here is the question I need it answered fast I'll give brainliest!

Answers

Answer:

It’s C!!!

Explanation: have an amazing day!

Which quadrant is each ordered pair in?

1. (-3,1)

2. (-9,-4)

3. (10,5)

4. (6, -7)

Answers

1. II
2. III
3. I
4. IV

Answer:

(-3‚1) lies in second quadrant.

Help please :)))))))))))))))))

Answers

Answer:

Using Sine Rule

w= 19.8

A marble will be drawn from the ba and replaced 100 times

Answers

Answer:

What

Step-by-step explanation:

Frederick and Fabricio enjoy catching Pokémon every day. They have developed different techniques of catching as many Pokémon as possible in an hour. Frederick represented the results of his catching techniques in the graph below, where the x-axis represents the time in hours and the y-axis represents the number of Pokémon in his pokeballs, while Fabricio decided to represent his results as the function f(t)=15t. After how many hours would Frederick have more Pokémon than Fabricio?

Answers

Answer:

sorry don't know what the answer is

can someone average this out for me and for the term test I made a 36​

Answers

Answer: 70.77 or 71 if rounded up

Step-by-step explanation:

Add all the scores then divide to 18.

This should be the answer 72.8%

Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.

Answers

Question 1

Answer: C) First and last term

----------------

Explanation:

Recall that (a+b)^2 = a^2+2ab+b^2 when using the FOIL rule. To go in reverse, to factor, we would apply the square root to the a^2 to get 'a', and also apply the square root to b^2 to get b. This then helps form the a+b shown on the left side.

The next question will go over a specific example of what is going on. Note that in question 2, the use of the phrasing "root of the first term" and "root of the last term" which helps reinforce we have the correct answer for problem 1.

=========================================================

Question 2

Answers:

Root of the first term = 9vRoot of the last term = 10

----------------

Explanation:

Apply the square root to the first term to get

sqrt(81v^2) = sqrt( (9v)^2 ) = 9v

Or you could note that (9v)^2 = (9v)*(9v) = 81v^2, from which we work in reverse when applying the square root.

Similarly, the square root of the last term is

sqrt(100) = sqrt(10^2) = 10

So that's why the answers are 9v and 10 for the blanks.

We can say:

(a+b)^2 = a^2 + 2ab + b^2

(9v+10)^2 = (9v)^2 + 2(9v)(10) + (10)^2

(9v+10)^2 = 81v^2 + 180v + 100

Calculate (1.6) · (0.215). Show your reasoning.​

Answers

Answer:

0.344

Step-by-step explanation:

i cant show reasoning its just 1.6 times 0.215

A map is created on a coordinated plane . Ty’s house is located( 7,8) and the library is located( 7,-6)How many blocks is it from Ty’s house to the library each unit on the coordinate plane represents 1 block

Answers

Given:

Ty’s house is located ( 7,8) and the library is located ( 7,-6).

Each unit on the coordinate plane represents 1 block.

To find:

The number of blocks from Ty’s house to the library.

Solution:

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We need to find the distance between the two points ( 7,8) and ( 7,-6).

Using the distance formula, we get

[tex]D=\sqrt{(7-7)^2+(-6-8)^2}[/tex]

[tex]D=\sqrt{(0)^2+(-14)^2}[/tex]

[tex]D=\sqrt{196}[/tex]

[tex]D=14[/tex]

The distance between the two points ( 7,8) and ( 7,-6) is 14 units.

We know that, each unit on the coordinate plane represents 1 block.

Therefore, there are 14 blocks from Ty’s house to the library.

Which statement is true about this data set?


{70, 67, 66, 65, 66, 78, 68, 71, 80, 78, 72}




80 is an outlier because it is greater than the upper fence.

This data set has no outliers.

65 and 80 are both outliers because 65 is less than the lower fence and 80 is greater than the upper fence.

65 is an outlier because it is less than the lower fence.



PLS HELP I WILL GIVE Brainliest

Answers

Answer:

Option 3 - This data set has no outliers.

Step-by-step explanation:

Given : The data {70, 67, 66, 65, 66, 78, 68, 71, 80, 78, 72}  

To find : Which statement is true about this data set?

Solution :

The statements is all about outlier.

So, we find the outlier of the data.

Step 1- Arranging the data from lowest to highest,

{65,66,66,67,68,70,71,72,78,78,80}  

Step 2 - Find the median of the data  

As the data is odd numbers so the median is  th term.

term.

6th term is 70 ⇒ Median =70

Step 3 - To find Upper quartile and lower quartile  

Lower quartile data set is the median of the upper terms from median

{65,66,66,67,68}

Median of the set is 66

∴    

Upper quartile data set is the median of the lower terms from median

{71,72,78,78,80}

Median of the set is 78  

∴    

Step 4 - To find the interquartile range.

Step 5 - To find the fences for the data set.  

The formula to find range is  

Substitute the values, we get

 

 

The range in which data lies is [48,96]

We have seen that all the data lie inside the range.

Therefore, This data set has no outliers.

Hence, Option 3 is correct.

pls give me brainlist

find the slope of the line going through the points (2,-3) and (-1,15) in the simplest form

Answers

Answer:

y=-2x

Step-by-step explanation:  

You could find the slope of line going through the points (2,-4) and (-1,2). It is

slope is -6/3 or -2

So the line is

Now plug in one of the points and the slope into point slope form and find the line

y+4=-2(x-2) or

y+4=-2x+4 so

y=-2x

Check it by making sure BOTH points are on the line. Plug the values into the equation you found for the line.

-4=-2(2)

2=-2(-1)

Charlie combined 4quarts of sparkling water with 2 gallons 1 quart of apple juice.Which tells the amount of drink he made?

Answers

Answer: 13 quarts



Explanation: hope this helps u I’m in 9th grade

What is the overlap of Data Set 1 and Data Set 2?


high

moderate

low

none

Answers

Answer: Low

The overlap of data set 1 and data set 2

pls help and show work! giving brainliest and thanks :)

Answers

Answer:

Step-by-step explanation:

mean : added up the values and divide the result by the number of the values

Mr Jones = (5 + 6.25 + 5.75 + 6.50 + 8)/5 = $6.30

Mrs Jones = (5.50 + 7 + 6.25 + 5.75 + 7.75)/5 = $6.45

The difference between the two mean is 15 cents or $0.15

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