what is the solution 8z - 7 = 3z - 7 + 5z

Answer:

42

Step-by-step explanation:

Mean = Sum of numbers/ Total numbers

Sum of 6 numbers = 32 x 6

= 192

If one number is excluded the mean reduce by 2 . so it becomes 30

Sum of 5 Numbers = 5 x 30

=150

Therefore the excluded number is

= 192 - 150

= 42.

Answer:

Please help me important question in image

Step-by-step explanation:Please help me important question in image

Please help me important quePlease help me important question in image

stion in image

Please help me important question in image

Please help me important question in image

Answer:

The equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940 in the United States. In this equation, a represents the average age and x represents the years since 1940. To estimate the year in which the average age of brides was the youngest, we need to find the minimum value of the quadratic function a=0.003x^2+21.3. This can be done by using the formula x=-b/2a, where b is the coefficient of x and a is the coefficient of x^2. In this case, b=0 and a=0.003, so x=-0/(2*0.003)=0. This means that the average age of brides was the lowest when x=0, which corresponds to the year 1940. The value of a when x=0 is a=0.003*0^2+21.3=21.3, so the average age of brides in 1940 was 21.3 years old. This is consistent with the historical data, which shows that the median age of women at their first wedding in 1940 was 21.5 years old. The average age of brides has been increasing since then, reaching 28.6 years old in 2021.

MARK AS BRAINLIEST!!!

Answer:

Independent

Step-by-step explanation:

From the word independent, which means being able ot stand alone, that is the absence or presence of one has no impact on the outcome of each phenomenon. Two events A and B are said to be independent, if the occurence of one has no bearing on the probability or chance that B will occur. This means that each event occurs without reliance on the occurence of the other. This is different from mutually exclusive event whereby event A has direct bearing in the probability of the occurence of event B.

Based on the description, the total area of the figure would be 45 square meters.

To find the total area of the figure, we need to divide it into two triangles and one rectangle.

The rectangle has a base of 9 meters and a height of 4 meters, so its area is 9 x 4 = 36 square meters.

The two triangles each have a base of 3 meters and a height of 3 meters, so each triangle has an area of 1/2 x 3 x 3 = 4.5 square meters.

Therefore, the total area of the figure is the sum of the area of the rectangle and the two triangles:

36 + 4.5 + 4.5 = 45 square meters

So the answer is 45 m2.

Learn more about area in https://brainly.com/question/27683633

#SPJ1

Answer:

59049 ways

Step-by-step explanation:

Given

\(Colors = 9\)

\(Dogs = 5\)

Required

Determine number of selection (repetition is allowed)

The number of collars is not given.

So, we'll assume that there are enough collars to go round.

If no repetition is allowed, each of the 5 dogs have 9 colours to select from.

i.e.

\(Dog\ 1 = 9\)

\(Dog\ 2 = 9\)

\(Dog\ 3 = 9\)

\(Dog\ 4 = 9\)

\(Dog\ 5 = 9\)

So, the number of selection is:

\(Selection = 9 * 9 * 9 * 9 * 9\)

\(Selection = 59049\)

Answer:

The answer is 24.1 unit²

Step-by-step explanation:

Volume of prisms=cross sectional area×h

cross sectional area=Volume of prisms/height

A=216.9/9

A=24.1 unit²

From the table , the insurance cost for the second year based on the prescription given is : $1329

Using the prescription table, the six cylinder compact , second year car with a mileage of 14000 falls in the mid table category with the 13000 mileage label .

The operating cost in insurance for the second year is therefore $1329.

Learn more on insurance :https://brainly.com/question/30291521

#SPJ1

Answer:  

6  

Step-by-step explanation:

this question is basically asking you to find the HCF of 30 and 36

step 1 : draw prime factor tree diagrams and write the numbers out as the product if their prime factors

step 2: multiply the prime factors they have in common

30 = 2 x 3 x 5

36 = 2 x 2 x 3 x 3

HCF = 2 x 3 = 6

Answer: 6 rows of lemon trees and 6 rows of lime trees.

Steps: All you need to do is to find the highest common factor of 30 and 36, which is 6.

30 divided by 6 is 5 and 36 divided by 6 is 6.  So uncle john can plant 5 lemon trees and 6 lime trees each row. That would make 6 rows of lemon trees and 6 rows of lime trees.

Brainliest pls if it is correct!

Answer:

450 feet square

Step-by-step explanation:

2:15 ratio

60:450

\(4!=4\times3\times2\times1=24\\3!=3\times2\times1=6\\2!=2\times1\\1!=1\\0!=?\)

Notice that when we go from 4! to 3! , we divide by 4.

(Because \(4!\div 4 = 4\times3\times2\times1\div4=3\times2\times1=3!\)  the 4's cancel)

And when we go from 3! to 2! , we divide by 3, and etc.

We can use this pattern to see why 0! = 1.

\(4!=4\times3\times2\times1=24\\3! = 4!\div4=24\div4=6\\2!=3!\div3=6\div3=2\\1!=2!\div2=2\div2=1\\0!=1!\div1=1\div1=1\)

And so by following the pattern, we determine that 0! = 1

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

Note:

There are no factorials of negative numbers, and we can use the pattern to show why:

\(0!=1\\-1!=0!\div0=1\div0=???!!??!?\)

You can't divide a number by 0, therefore -1! doesn't exist, so -2! doesn't exist and so on. So you can't do the factorial of any negative number.

(Or at least there no real solutions to negative factorials)

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

Answer: Recipe 1 and 2 will taste the same because the ratio of the ingredients is the same, while recipe 3 will taste different because the ratio of ingredients used were different.

Explanation:

In this case, the factor that determines whether the mixtures taste the same or different is the ration of ingredients; this is the amount of orange juice added vs the amount of pineapple juice. Here are the ratios for the three recipes:

Recipe 1: 4 to 6 (orange juice to pineapple)

Recipe 2: 6 to 9 (orange juice to pineapple)

Recipe 3: 9 to 12 (orange juice to pineapple)

Now, to compare the ratios these can be written as fractions and then simplified by dividing the numerator into the denominator or reducing the fraction.

Recipe 1:

\(\frac{4}{6} = 0.666\)      or    \(\frac{4}{6} = \frac{2}{3}\) (divide both numbers by 2)

Recipe 2:

\(\frac{6}{9} = 0.666\)       or   \(\frac{6}{9} = \frac{2}{3}\) (divide both numbers by 3)

Recipe 3:

\(\frac{9}{12}\)\(= 0.75\)         or   \(\frac{9}{12} = \frac{3}{4}\)  (divide both numbers by 3)

This shows recipes 1 and 2 use the same ratio of orange vs pineapple juice (2 to 3), which means the same taste, while the ration in the recipe 3 is different.

The results of operations between vectors are, respectively:

Case A: u + w = <- 3, - 1>

Case B: - 6 · v = <6, 6>

Case C: 3 · v - 6 · w = <- 21, - 15>

Case D: 4 · w + 3 · v - 5 · u = <39, 4>

Case E: |w - v| = √(4² + 3²) = 5

In this problem we must determine the operations between vectors, this can be done by following definitions:

Vector addition

v + u = (x, y) + (x', y') = (x + x', y + y')

Scalar multiplication

α · v = α · (x, y) = (α · x, α · y)

Norm of a vector

|u| = √(x² + y²)

Now we proceed to determine the result of each operation:

Case A:

u + w = <- 6, - 3> + <3, 2>

u + w = <- 3, - 1>

Case B:

- 6 · v = - 6 · <- 1, - 1>

- 6 · v = <6, 6>

Case C:

3 · v - 6 · w = 3 · <- 1, - 1> - 6 · <3, 2>

3 · v - 6 · w = <- 3, - 3> + <- 18, - 12>

3 · v - 6 · w = <- 21, - 15>

Case D:

4 · w + 3 · v - 5 · u = 4 · <3, - 2> + 3 · <- 1, - 1> - 5 · <- 6, - 3>

4 · w + 3 · v - 5 · u = <12, - 8> + <- 3, - 3> + <30, 15>

4 · w + 3 · v - 5 · u = <39, 4>

Case E:

|w - v| = |<3, 2> - <- 1, - 1>|

|w - v| = |<4, 3>|

|w - v| = √(4² + 3²) = 5

To learn more on vectors: https://brainly.com/question/31900604

#SPJ1

The rate at which the baseball traveled per second was 66 feet per second.

What is speed?

Speed is defined as the distance travelled by an object in a given amount of time. Speed is a scalar quantity, meaning that it has magnitude but no direction.

Mathematically, speed is calculated as follows:

speed = distance/time

Where "distance" is the distance travelled by the object, and "time" is the time it takes for the object to travel that distance.

To find the rate at which the baseball traveled per second, we need to divide the total distance traveled by the total time taken.

Given that the baseball traveled 330 feet in 5 seconds, the rate at which it traveled per second can be calculated as follows:

Rate = Distance / Time

Rate = 330 feet / 5 seconds

Rate = 66 feet per second

Therefore, the rate at which the baseball traveled per second was 66 feet per second.

To know more about speed visit:

brainly.com/question/13263542

#SPJ1

if 40 is the least frequent multiple of two whole numbers. The higher number to lesser number ratio is 4:5. The two digits after that are 8 and 10.

Least Common Multiple is the meaning of the abbreviation LCM.

The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers.

It can also be computed using two or more numbers.

Finding the LCM of a given collection of numbers can be done in a variety of ways.

Utilizing the prime factorization of each number and then calculating the product of the greatest powers of the shared prime factors is one of the quickest techniques to determine the LCM of two numbers.

In mathematics, the least common multiple is sometimes referred to as LCM or the lowest common multiple.

The smallest number among all numbers is called the least common multiple of two or more numbers.

According to our question-

The number LCM is equal to 40.

4 × 5 × x = 40

20 × x = 40

20x=40

x=2

The larger number is equal to 4 x=4(2)=8.

The smaller value is =5x=5(2)=10.

learn more about lcm click here:

https://brainly.com/question/233244

#SPJ4

Complete question-

The least common multiple of two whole numbers is 40. The ratio of the greater number to the lesser number is 4:5. What are the two numbers?

Answer:

To find the probability of selecting a Coke person from this group, we need to divide the number of people who prefer Coke by the total number of people in the group.

The number of people who prefer Coke is 29. The total number of people in the group is 29 + 21 + 37 + 28 + 19 + 16 + 150 + 150 + 2 = 452.

Therefore, the probability of selecting a Coke person from this group is:

P(Coke) = Number of people who prefer Coke / Total number of people in the group = 29 / 452 ≈ 0.064

So the probability of selecting a Coke person from this group is approximately 0.064.

I hope this helps! Let me know if you have any other questions.

Step-by-step explanation:

a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)

b. The increase in cost between 12 noon and 3 pm is $2.

c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.

The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.

We can represent it as (8am, 9am) U (11am, 12pm).

It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).

And stays constant at : (9am, 10am) U (10am, 11am)

We simply deduct the 12pm's cost from 3pm's cost.

So, we have

Cost increase = $3.5 - $1.5

Evaluate the difference

Cost increase = $2

Hence, the cost increase is $2

When you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

Find more exercises on Interval notation;

https://brainly.com/question/17249352

#SPJ1

Answer:

Step-by-step explanation:

\(\frac{2017^4 - 2016^4}{2017^2 + 2016^2}\)

\(= \frac{(2017^2 - 2016^2)(2017^2 + 2016^2)}{2017^2 + 2016^2}\)

\(= (2017^2 - 2016^2)\)

\(= (2017 - 2016)(2017 + 2016)\\= 4033\)

Expanding the product gives

(2 - 3i) (4 + 3i) = 8 - 12i + 6i - 9i² = (8 + 9) + (6 - 12) i = 17 - 6i

so a = 17.

The amount entered into Ryan's capital account would be $28,965.52.

We have,

First, let's calculate the total amount of capital before Sullivan's withdrawal:

Total Capital = Ryan's Capital + O'Malley's Capital + Sullivan's Capital

Total Capital = $40,000 + $60,000 + $45,000

Total Capital = $145,000

Next, we need to calculate the share of profits for each partner:

Ryan's Share = 20% of Net Income

O'Malley's Share = 30% of Net Income

Sullivan's Share = 50% of Net Income

Since we don't have the Net Income, we cannot calculate the shares of profits.

Now, we can calculate the remaining capital after Sullivan's withdrawal:

Remaining Capital = Total Capital - Sullivan's Withdrawal

Remaining Capital = $145,000 - $40,000

Remaining Capital = $105,000

Finally, we can allocate the remaining capital according to the capital interests:

Ryan's Share = Ryan's Capital / Total Capital * Remaining Capital

Ryan's Share = $40,000 / $145,000 * $105,000

Ryan's Share = $28,965.52

Therefore,

The amount entered into Ryan's capital account would be $28,965.52.

Learn more about capital accounts here:

https://brainly.com/question/13275642

#SPJ1

Answer:

106°

Step-by-step explanation:

180-74=106°

Answer:

106

Step-by-step explanation:

supplementary means 2 angles = 180

so..

180-74=106

Answer:

\(4 \times 4 + 4 \times 5 = 16 + 20 = 36\)

Answer:

10 and 4

Step-by-step explanation:

28 - 14 can be combined into into 28 - 10 - 4

28 - 10 = 18

18 - 4 = 14

I don't do much of these... but here are the clues that will really help you.

We know that...

You have to find the ratio... How? well....

To find an equal ratio, you can either multiply or divide each term in the ratio by the same number (but not zero). For example, if we divide both terms in the ratio 3:6 by the number three, then we get the equal ratio, 1:2.

The next three terms in the sequence are  -1/16, 1/32, -1/64

The correct option is option C)

What is a sequence?

A sequence is an set of values separated by commas Referring to a generalized rule. They have a relation among them. One of the common sequences are arithmetic progression

We are given a sequence of -1, 1/2, -1/4, 1/8,

We have to describe the next three terms of the sequence

If we notice closely the given sequence is an geometric sequence

Hence they have a common factor known as common ratio

in it we divide a term by its previous term

Hence

Ratio= (1/2)/-1

Ratio = -1/2

Now to find the next terms we multiply this with the last term we get

1/8*-1/2= -1/16

Now Hence the next three terms are -1/16, 1/32, -1/64

The correct option is option c)

To learn more about sequences please refer the following link

https://brainly.com/question/6561461

#SPJ1

Answer:179

Step-by-step explanation:

Answer:

179

Step-by-step explanation:

\(( {3}^{2} - {2}^{2} )^3 + 42 \div 6 \times {3}^{2} - 9 \\ \\ = (9 - 4)^3 + 42 \times \frac{1}{6} \times 9 - 9 \\ \\ = 5^3 + 7 \times 9 - 9 \\ \\ = 125 + 63 - 9 \\ \\ = 125 + 54 \\ \\ = 179\)

Answer: 650

Step-by-step explanation:

1300 divided by 2 is 650

If you are psting your questions from an assignment i hope that its not against tos

Answer:

650

Step-by-step explanation:

this is the answer have a great day now!

Answer:

The percent change is 9%

Step-by-step explanation:

When you add 40 + 6 you get 46. 46 + 3 you get 49.

49/100 is the usual of a percentage. She already has 40 shells. So there is a 9% different change in her collection. If they ask for a positive or a negative change, it is a positive change since you are adding by 9% to the collection.

Thanks. PLS give me brainiest.