Given a1 = 1/4 and a common ratio of 8,find the 9th term in the sequence.​

Answer:

xy represents the diameter

Answer:

We can use a Venn diagram to visualize the information given in the problem.

Let M, B, and C represent the sets of students who pass mathematics, biology, and chemistry, respectively. We are given the following information:

|M| = 10 (the number of students who pass mathematics)

|B| = 30 (the number of students who pass biology)

|C| = 25 (the number of students who pass chemistry)

|M ∩ B| = 11 (the number of students who pass both mathematics and biology)

|B ∩ C| = 10 (the number of students who pass both biology and chemistry)

|M ∩ C| = 7 (the number of students who pass both mathematics and chemistry)

|M ∩ B ∩ C| = ? (the number of students who pass all three subjects)

We know that:

| M ∪ B ∪ C | = |M| + |B| + |C| - |M ∩ B| - |B ∩ C| - |M ∩ C| + |M ∩ B ∩ C|

Substituting the given values:

| M ∪ B ∪ C | = 10 + 30 + 25 - 11 - 10 - 7 + |M ∩ B ∩ C|

Simplifying:

| M ∪ B ∪ C | = 37 + |M ∩ B ∩ C|

We also know that:

| M ∪ B ∪ C | = 70 (the total number of students)

Substituting the value:

70 = 37 + |M ∩ B ∩ C|

Simplifying:

|M ∩ B ∩ C| = 33

Therefore, 33 students pass all three subjects.

Step-by-step explanation:

pls mark branliest i beggggg u

The solution to the system of equations is x = 4 and y = 0. In summary, the correct substitution step for the system is: -4x - 6(x - 4) = -16 .C answer is correct

To solve the given system of equations:

1) y = x - 4

2) -4x - 6y = -16

We can use the substitution method to eliminate one variable and solve for the other.

Step 1: Solve the first equation (1) for y in terms of x.

  y = x - 4

Step 2: Substitute the expression for y from equation (1) into equation (2).

  -4x - 6(x - 4) = -16

Step 3: Simplify and solve for x.

  -4x - 6x + 24 = -16

  -10x + 24 = -16

  -10x = -16 - 24

  -10x = -40

  x = -40 / -10

  x = 4

Step 4: Substitute the value of x back into equation (1) to solve for y.

  y = 4 - 4

  y = 0

Therefore, the solution to the system of equations is x = 4 and y = 0.

In summary, the correct substitution step for the system is:

-4x - 6(x - 4) = -16

By substituting the expression for y from equation (1) into equation (2) and simplifying, we obtain the equation -4x - 6y = -16, which can be further solved to find the values of x and y. C answer is correct

for more such question on substitution visit

https://brainly.com/question/22340165

#SPJ8

The hours when the prices of the two stocks be the same is 2.38 hours.

From the information, the price of Stock A at 9 A.M. was $12.42 and the price has been increasing at the rate of $0.12 each hour. This will be the expressed as 12.42 + 0.12h.

At noon the price of Stock B was $12.92. It begins to decrease at the rate of $0.09 each hour. This will be:

= 12.92 - 0.09h

where h = number of hours

Equate both equations. This will be:

12.42 + 0.12h = 12.92 - 0.09h

Collect like terms

12.92 - 12.42 = 0.12h + 0.09h

0.21h = 0.50

h = 0.50 / 0.21

h = 2.38 hours.

Learn more about time on:

brainly.com/question/26046491

#SPJ1

Given statement solution is :- It  would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.

To find the cost of installing tile in the dining room and carpet in the bedroom, we need to calculate the areas of both rooms first.

Given:

Every 2 centimeters on the floor plan represents 1 meter of the house.

Dining Room:

On the floor plan, the dining room is 8 cm by 10 cm.

Converting this to meters, the dimensions of the dining room are 8 cm / 2 = 4 meters by 10 cm / 2 = 5 meters.

The area of the dining room is 4 meters * 5 meters = 20 square meters.

Bedroom:

On the floor plan, the bedroom is 6 cm by 10 cm.

Converting this to meters, the dimensions of the bedroom are 6 cm / 2 = 3 meters by 10 cm / 2 = 5 meters.

The area of the bedroom is 3 meters * 5 meters = 15 square meters.

Now, let's calculate the costs.

Cost of Tile:

The cost of installing tile is $34 per square meter.

The area of the dining room is 20 square meters.

Therefore, the cost of installing tile in the dining room is 20 square meters * $34/square meter = $680.

Cost of Carpet:

The cost of installing carpet is $21 per square meter.

The area of the bedroom is 15 square meters.

Therefore, the cost of installing carpet in the bedroom is 15 square meters * $21/square meter = $315.

Therefore, it would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.

For such more questions on Cost of tile and carpet.

https://brainly.com/question/29574063

#SPJ8

The mistake katie has made is included an extra length, the correct option is C.

We are given that;

The table of lengths of caterpillars

Now,

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Katie has made the mistake of including an extra length in her diagram. She has included the length 81 twice in the stem-and-leaf diagram, once in the row for 5 and once in the row for 8. However, there is only one caterpillar with a length of 81 mm in the data. Therefore, she should remove one of the 81s from her diagram.

Therefore, by algebra the answer will be included extra length.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ1

Answer:

Chyba 600,90zł

Step-by-step explanation:

If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1

A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.

WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.

X = 7

Y = 10

If there are N packages (N ≥ 2) and the total value of them is $2021

X + Y = One packages

N packages = N(X + Y ) = 10 N

if each of X, Y, and N are positive integers, then;

10 N = 2021

N = 2021/10

N = 202.1

Therefore, X+Y+N = 10 + 202.1 = 212.1

Learn more about solutions to the system of inequalities here:

https://brainly.com/question/16339562

#SPJ1

The value of find f(-2)-g(-2), if f(a) = 3a + 5 and g(a) = a² + 4 is -9.

In the case of a function from one set to the other, each element of X receives exactly one element of Y. The function's domain and co-domain are respectively referred to as the sets X and Y as a whole.

Given function:

f(a) = 3a + 5 and g(a) = a² + 4

Calculate the f(-2) - g(-2) by putting value -2 in both function

f(-2) = 3(-2) + 5 = -6 + 5

f(-2) = -1

g(-2) = (-2)² + 4

g(-2) = 4 + 4

g(-2) = 8

Hence,  f(-2) - g(-2) = -1 - 8 = -9

Therefore, the value of find f(-2)-g(-2), if f(a) = 3a + 5 and g(a) = a² + 4 is -9.

To know more about function:

https://brainly.com/question/5975436

#SPJ1

Answer:

Choose

a

,

b

and

c

the make the equation true.

Step-by-step explanation:

A linear equation can be written in several forms. "Standard Form" is

a

x

+

b

y

=

c

where

a

,

b

and

c

are constants (numbers).

We want to make two equations that

(i) have this form,

(ii) do not have all the same solutions (the equations are not equivalent), and

(iii)

(

4

,

−

3

)

is a solution to both.

a

x

+

b

y

=

c

. We want

a

,

b

and

c

so that

a

(

4

)

+

b

(

−

3

)

=

c

Answer:

b, d

Step-by-step explanation:

finished the exam review and was correct (sorry for the late response)

The gap would be filled in the prism shown below as 12 blocks each measuring One-fourth times 1 x 1. 6 blocks each measuring One-half times 1 x 1.

If the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross-section is the same as its base, then its volume is:

\(V = B \times h\)

where h is the height of that prism and B is the area of the base of that prism.

The block has a volume of 2 x 5/2.

The remaining part of the block is filled by

12 blocks each measuring One-fourth times 1 x 1.

6 blocks each measuring One-half times 1 x 1.

Learn more about the volume of a prism here:

https://brainly.com/question/4113799

#SPJ2

Answer:

8 tablets

Step-by-step explanation:

Answer:

8 tablets

Step-by-step explanation:

240/30

Answer:

d -3

Step-by-step explanation:

Answer:

The price was marked down by 12.58%

Step-by-step explanation:

153.77 is a 12.581011938601% decrease of 175.90.

Percentage of decrease = |175.90 - 153.77|/175.90 = 22.13/175.90 = 0.12581011938601 = 12.581011938601%

The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

​for such more question on simplified form

https://brainly.com/question/11680269

#SPJ8

Step-by-step explanation:

31 + 6x + x + 16 = 180

7x + 47 = 180

7x = 180 - 47

x = 133/7

x = 19

a) The smallest number of tiles needed to make a square is 3.

b) The smallest number of tiles needed to make a square is 11.

a) To make a square using rectangular tiles that are 12 cm long and 4 cm wide, we need to find the side length of the square that is divisible by both 12 and 4. The smallest common multiple of 12 and 4 is 12, so a square with a side length of 12 cm can be made.

To calculate the number of tiles needed, we divide the side length of the square by the length of each tile. In this case, 12 cm ÷ 4 cm = 3.

Therefore, the smallest number of tiles needed to make a square is 3.

b) To make a square using rectangular tiles that are 11 cm long and 3 cm wide, we need to find the side length of the square that is divisible by both 11 and 3. The smallest common multiple of 11 and 3 is 33, so a square with a side length of 33 cm can be made.

To calculate the number of tiles needed, we divide the side length of the square by the length of each tile. In this case, 33 cm ÷ 3 cm = 11.

Therefore, the smallest number of tiles needed to make a square is 11.

for such more question on rectangular

https://brainly.com/question/17297081

#SPJ8

Answer:

0.48 is the correct answer

Answer:

1/4

Step-by-step explanation:

the distance between the point is 8 in the x axis and 2 on the y axis. with fractions as a slope, you write it as y/x, not x/y. so 2/8 simplified is 1/4.

Answer:

0.066

Step-by-step explanation:

462/7000= 0.066

Answer:

0.66

Step-by-step explanation:

Answer:

1. No sol.

2. One Sol. x=4

3. One Sol. w=22 1/2

Step-by-step explanation:

1.

Group like terms:

4+3p=6p-3p+5

Add similar elements (6p-3p=3p):

4+3p=3p+5

Subract 4 from both sides:

4+3p-4=3p+5-4

Simplify:

3p=3p+1

Subtract 3p from both sides:

3p-3p=3p+1-3p

Simplify:

0=1

There is no solution.

2.

One Sol. x=4

Switch sides:

3x-2=10

Add 2 to both sides:

3x-2+2=10+2

Simplify:

3x=12

Divide both sides by 3:

3x/3=12/3

Simplify:

x=4

There is a solution.

3.

One Sol. w=22 1/2

Subtract 7 from both sides:

2/3w+7-7=22-7

Simplify:

2/3w=15

Multiply both sides by 3:

3*2/3w=15*3

Simplify:

2w=45

Divide both sides by 2:

2w/2=45/2

Simplify:

w=22 1/2

There is one sol.

Answer:

C) -2/9

Step-by-step explanation:

\(\displaystyle -\frac{1}{6}\biggr[3-15\biggr(\frac{1}{3}\biggr)^2\biggr]\\\\=-\frac{1}{6}\biggr[3-15\biggr(\frac{1}{9}\biggr)\biggr]\\\\=-\frac{1}{6}\biggr[3-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{27}{9}-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{12}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{4}{3}\biggr]\\\\=-\frac{4}{18}\\\\=-\frac{2}{9}\)

Answer:

Hence, Option (C) - 2/9 is the Answer:

Step-by-step explanation:

-1/6 [3 -15(1/3)^2]

-1/6(3 -15)(1/9))

-1/6(3 - 5/3)

-1/6 (4/3)

Hence, Option (C) - 2/9 is the Answer:

I hope it helps!

The total amount the man had = 52,200 rupees. Out of this, he gave 21,750 rupees to his son, 13,050 rupees to his daughter, and 17,400 rupees to his wife , the total amount given away by the man = 21,750 + 13,050 + 17,400 = 52,200 rupees.

A man gave 5/12 of his money to his son, 3/7 of the remainder to his daughter, and the remaining to his wife. If his wife gets Rs. 8,700, what is the total amount?

The given problem can be solved using the concept of ratios and fractions. Let us solve the problem step-by-step.Assume the man had x rupees with him.The man gave 5/12 of his money to his son.

The remaining amount left with the man = x - 5x/12= (12x/12) - (5x/12) = (7x/12)The man gave 3/7 of the remainder to his daughter.'

Amount left with the man after giving it to his son = (7x/12)The amount given to the daughter = (3/7) x (7x/12)= (3x/4)The remaining amount left with the man = (7x/12) - (3x/4)= (7x/12) - (9x/12) = - (2x/12) = - (x/6) (As the man has given more money than what he had with him).

Therefore, the daughter's amount is (3x/4) and the remaining amount left with the man is (x/6).The man gave all the remaining amount to his wife.

Therefore, the amount given to the wife is (x/6) = 8700Let us find the value of x.x/6 = 8700 x = 6 x 8700 = 52,200

Therefore, the man had 52,200 rupees with him.He gave 5/12 of his money to his son. Therefore, the amount given to his son is (5/12) x 52,200 = 21,750 rupees.

The remaining amount left with the man = (7/12) x 52,200 = 30,450 rupees.He gave 3/7 of the remainder to his daughter. Therefore, the amount given to his daughter is (3/7) x 30,450 = 13,050 rupees.

The amount left with the man = (4/7) x 30,450 = 17,400 rupees.The man gave 17,400 rupees to his wife.
for more such questions on total amount

https://brainly.com/question/9879870

#SPJ8

Answer:

Yes, because if you divide the two numbers, you get a whole number which means it is. Also, since the last numbers are 56, 8 can go into 56 so yes.

Step-by-step explanation:

Designing an easy do-it-yourself compost bin:

Drawing and Description:

The compost bin can be a simple structure made of wood or wire mesh. It consists of four sides, a bottom, and a removable lid. The sides and bottom are connected securely to form a rectangular shape, while the lid allows for easy access to the contents inside.

The bin can be placed directly on the ground or on a solid surface, depending on personal preference.

Materials Used:

Wood or wire mesh (depending on preference)

Nails or screws to assemble the structure

Size of the Bin:

The size of the bin can vary based on the available space and the amount of compostable materials you generate. A suitable size for a home compost bin could be approximately 3 feet wide, 3 feet deep, and 3 feet tall.

Substances Used to Fill It:

To fill the compost bin, you would need a mix of "green" and "brown" materials. "Green" materials include fruit and vegetable scraps, coffee grounds, tea leaves, grass clippings, and plant trimmings. "Brown" materials consist of dry leaves, shredded newspaper, cardboard, and small twigs.

Household Items That Can Go in It:

You can add a variety of household items to the compost bin, such as fruit and vegetable peels, eggshells, coffee grounds, tea bags, yard waste (leaves, grass clippings, plant trimmings), shredded paper, cardboard, and natural fibers (like cotton or wool scraps).

Time for Compost to Be Ready:

The time it takes for the compost to be ready varies depending on factors like temperature, moisture, and the type of materials used. Generally, it takes about 2 to 6 months for compost to fully decompose and become ready to use.

Using the Compost:

Once the compost has broken down into a dark, crumbly, and earthy material, it is ready to use. You can spread it in your garden beds or pots as a nutrient-rich soil amendment. It improves soil structure, retains moisture, and provides essential nutrients for plants' growth.

for similar questions on compost bin:

https://brainly.com/question/30423152

#SPJ11

Answer:

  144 ft³

Step-by-step explanation:

This "irregular shape" is a composite shape that can be considered to be any of these compositions:

The volume of any one of these blocks is the product of height, width, and depth. The above decompositions are evaluated here.

  V = HWD

  V = (2 ft)(3 ft)(6 ft) +(2 ft)(9 ft)(6 ft) = 36 ft³ + 108 ft³ = 144 ft³

__

  V = (4 ft)(3 ft)(6 ft) +(2 ft)(6 ft)(6 ft) = 72 ft³ +72 ft³ = 144 ft³

__

  V = (4 ft)(9 ft)(6 ft) -(2 ft)(6 ft)(6 ft) = 216 ft³ -72 ft³ = 144 ft³

Travis must use 144 ft³ of concrete to make the block.

Answer:

\( \frac{1}{2} \times 6 = 3 \\ \)

Yep

Answer:

(10)(3/5)=6

The parentheses is multiplication

Step-by-step explanation:

Answer:

165inch^3

Step-by-step explanation:

4×7×3=84inch^3

9×3×3=81inch^3

84+81=165inch^3

Answer:

D

Step-by-step explanation:

It isn't linear

Answer:

D)

Step-by-step explanation:

Linear graphs are straight they can be positive or negative but they do not have bending points in them.

I added a picture to help you