Vectors! A ship can sail at 30 km/h in still water. The ship heads due north. The water current is flowing at 10 km/h due east.

a) What is the actual velocity of the ship?

b) What direction does the ship sail in?

the number of pastries that she bake in the afternoon is equal to 312 pastries.

We are given that:

Saffron sells 584 pastries in the whole day and 52 pastries are left at the end of the day.

Now, we will use addition to find the total number of pastries that is being made in the day.

Total pastries = 584 + 52

Total pastries = 636

Now, she bake 324 pastries in the morning.

So, the number of pastries baked in the afternoon = 636 - 324

In afternoon = 312.

Therefore, we get that the number of pastries that she bake in the afternoon is equal to 312 pastries.

Learn more about addition here:

https://brainly.com/question/25421984

#SPJ9

Answer:

coefficient=8

constant=-5

variable=x

Step-by-step explanation:

Answer:

-5 constant

8 coefficient

w variable

Step-by-step explanation:

The product or overall change in time for 8 weeks will be 29.33 minutes.

A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.

Given:

After one week, Greg's watch has lost 11/3 minutes. If the watch continues to lose time at the same rate, we can say that the change in time is 11/3 minutes per week.

According to given question we have

(11/3 minutes/week) x (8 weeks) = 29.33 minutes

Therefore, the product or overall change in time for 8 weeks will be 29.33 minutes.

Learn more details about statement here:

https://brainly.com/question/2285414

#SPJ1

Answer:

The correct area is 25 square units.

His mistake was that he found the perimeter instead of the area.

Step-by-step explanation:

Area = Length x Width

Area= 5 x 5= 25

His mistake:

Perimeter = length + length + width + width

Perimeter = 5 + 5+ 5+ 5 = 20

Answer:

12, 48

The pattern is: Divide by 2, then multiply by 4

Answer:

Yes you are correct

Step-by-step explanation:

1/3 / 3/5 = 1/3 / M

3*1/3 / 5*3/5 = 3*1/3 / 5M

3/3 / 15/5 = 3/3 / 5M

1/3=1/(5M)

5M * 1/3 = 1

5M * 3 * 1/3 = 1 * 3

5M=3

M=3/5 √

The function P(x) for the total profit from the production and sale of x toilets is P(x) = 90x - 16600

The given parameters are

Fixed cost = 16600

Variable cost = 67 per toilet

Cost of toilet = 157 per toilet

Let the number of toilets be x

So, the cost function is

C(x) = Fixed cost + Variable cost * Number of toilets

This gives

C(x) = 16600 + 67x

Also, we have the revenue function to be

R(x) = Cost of toilet  * Number of toilets

This gives

R(x) = 157x

The function P(x) for the total profit from the production and sale of x toilets is

P(x) = R(x) - C(x)

So, we have

P(x) = 157x - 16600 - 67x

Evaluate

P(x) = 90x - 16600

Hence, the function P(x) for the total profit from the production and sale of x toilets is P(x) = 90x - 16600

Read more about profit at

https://brainly.com/question/19104371

#SPJ1

The number that is six less than the product of three and the difference of the number and eight is; 15

The verbal expression of the equation in the word problem is presented in mathematical form as follows;

Expanding the left hand side gives;

3•x - 3×8 = x + 6

3•x - 24 = x + 6

3•x - x = 24 + 6 = 30

2•x = 30

x = 30/2 = 15

Learn more about finding the solutions to word problems here:

https://brainly.com/question/13818690

#SPJ1

Answer:

2+2 = 4

Step-by-step explanation:

Let's visualize this using # signs

we have two groups of two # signs, so let's map that out

##

##

If you count the individual # signs, it is 4. You can also use this model to figure out 2 *2 (4)

I hope this helps :)

Answer:

4

Step-by-step explanation:

2+2

2+1+1

3+1

4

By factor decomposition, area of a square and power and root properties, the length of the side is between 72 yards and 76 yards. (Correct choice: B)

The area of a triangle is equal to the square of its side length and the area of land is a composite number, that is, a product of prime numbers. By factor decomposition, the equivalent form of 5,280 square yards is:

5,280 = 2⁵ × 3 × 5 × 11

Then, the equivalent side is equal to the square product of the product:

x = √(2⁵ × 3 × 5 × 11)

x = √(2⁴) × √(2 × 3 × 5 × 11)

x = 2² × √(2 × 3 × 5 × 11)

x = 4√330

As for √330 is between √324 = 18 and √361 = 19, then the length of the side is between 72 yards and 76 yards.

To learn more on factor decomposition: https://brainly.com/question/13175237

#SPJ1

Answer:

This is not proportional.

Step-by-step explanation:

If there was no meal delivery cost than it would be proportional.

Answer: -40

Step-by-step explanation:

Answer:

-1/40

Step-by-step explanation:

-3/8x -11+11=4+11

-3/8x=15

-3/8x x=15x

-3/8=15x

15x/15= -3/8/15

x=-1/40

Hope this helps!^^

Using translation concepts, the coordinates of the vertices after a rotation 180º clockwise around the origin is:

S': (-4,-10), R'(-4,-3), U'(-8,-3) and T'(-8,-10).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, the coordinates (x,y) of the vertices are given as follows:

S(4,10), R(4,3), U(8,3), T(8,10).

The rule for a rotation 180º clockwise around the origin is:

(x,y) -> (-x,-y).

Hence the vertices of the rotated image will be given as follows, applying the above rule:

S': (-4,-10), R'(-4,-3), U'(-8,-3) and T'(-8,-10).

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ1

Answer:

x = 4 - 2y

Step-by-step explanation:

4x + 8y = 16

or, x + 2y = 4

or, x = 4 - 2y

Answer:4-2y

Step-by-step explanation:

The greatest common factor of 38 and 30 is 2.

It should be noted that thw first step to this method of finding the Greatest Common Factor of 30 and 38 is to find and list all the factors of each number.

Let’s take a look at the factors for each of these numbers, 30 and 38:

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

Factors of 38: 1, 2, 19, 38

When you compare the two lists of factors, you can see that the common factor(s) are 1, 2. Since 2 is the largest of these common factors, the GCF of 30 and 38 would be 2.

Learn more about factor on:

https://brainly.com/question/25829061

#SPJ1

Answer:

B.

Step-by-step explanation:

233% = 2.33

2 2/3 = 2.6

All work and the answer is provided in the screenshot that is attached! :)

Have a great day!

Answer:

6

Step-by-step explanation:

1605 - 75

1530 / 255 = 6

Answer:

  14

Step-by-step explanation:

You want the number of my cats when that number is "one-half of my cats plus seven".

Let the number of cats be represented by c. Then the description of the number of cats is ...

  c = c/2 +7

Multiplying by 2 gives ...

  2c = c +14

  c = 14 . . . . . . . subtract c

The nemesis has 14 cats.

Answer:

less than

Step-by-step explanation:

The Area of  the circle is 36π mm²

Radius of a circle = 6 mm

A circle's area is expressed as as A = πr²,

Where,

Radius (r) = 6 mm

Area = π(6)²

= 36π mm²

Hence the Area of the circle is 36π mm².

Learn more about circle here

https://brainly.com/question/24375372

#SPJ9

The algebraic expressions of the statements are x = 6y - 4 and r = 3 + 2b

Statement 1

The statement is given as

Ramona has 4 less than 6 times as many one dollar bills as Rita has

Let the number of one dollar bills owned by Ramona  be x and the number of one dollar bills made by Rita be y

So, the interpretation of the statement is

x = 6y - 4

Hence, the algebraic expression of the statement is x = 6y - 4

Statement 2

The statement is given as

Robert made 3 more than twice as many baskets as Billy did in the basketball game.

Let the number of baskets made by Robert be r and the number of baskets made by billy be b

So, the interpretation of the statement is

r = 3 + 2b

Hence, the algebraic expression of the statement is r = 3 + 2b

Read more about expressions at

https://brainly.com/question/723406

#SPJ1

Answer:

x² - 6x + 4

Step-by-step explanation:

Hello!

Factor each term completely:

Common factors that are shown in all 3 terms are x and 3.

Divide each term by 3x:

Combine the terms: x² - 6x + 4

Greater because a meter is greater than a millimeter.

Also can I get the brainliest pls?

Two collinear points on a line are given in the table below:

x, y

0 0 (0,0)

2 1 (2,1)

Select the points that lie on the line. and the relationship between the coordinates x and y.

(4,2)

(4, 3)

(7,2)

4/8, 2/8

Answer:

Given that

To find

So, according to the question

We have,

For finding any point that lie on line, first we have to find the slope of given line,

So, we know that

                        slope (m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Where,

         x₁ = 0   and x₂ = 2

         y₁ = 0   and y₂ = 1

Now, putting the values, we will get

                         (m) = [tex]\frac{1-0}{2-0}[/tex] = [tex]\frac{1}{2}[/tex]

                           m =  [tex]\frac{1}{2}[/tex]

We know that, the equation of line

     y-y₁ = m(x- x₁ )

     y-0 =  [tex]\frac{1}{2}[/tex] (x- 0)

       y =  [tex]\frac{1}{2}[/tex] x -------------(1)

{ this equation (1) is showing a relationship the coordinates x and y }

For finding which point is lie in that line, this point must be prove that equation (1).

Now, let's check the points

For point (4,2)

y =  [tex]\frac{1}{2}[/tex] x -------------(1)

2 =  [tex]\frac{1}{2}[/tex] × 4

2 = 2

So, point (4,2) lie in this line.

For point (4,3)

y =  [tex]\frac{1}{2}[/tex] x -------------(1)

3 =  [tex]\frac{1}{2}[/tex] × 4

3 ≠ 2

So, point (4,3) not lie in this line.

For point (7,2)

y =  [tex]\frac{1}{2}[/tex] x -------------(1)

2 =  [tex]\frac{1}{2}[/tex] × 7

2 ≠ [tex]\frac{7}{2}[/tex]

So, point (7,2) not lie in this line.

For point ([tex]\frac{4}{8}[/tex],[tex]\frac{2}{8}[/tex])

y =  [tex]\frac{1}{2}[/tex] x -------------(1)

[tex]\frac{2}{8}[/tex] =  [tex]\frac{1}{2}[/tex] × [tex]\frac{4}{8}[/tex]

[tex]\frac{2}{8}[/tex]  = [tex]\frac{2}{8}[/tex]

So, point ([tex]\frac{4}{8}[/tex],[tex]\frac{2}{8}[/tex]) lie in this line.

To learn more about line, please click on the link:

https://brainly.com/question/7100287

#SPJ9

Answer:

the answer is A-x=

Step-by-step explanation:

because if you multiply 3 by 6 you get 27

0.166 is the standard form of that

Answer: 58 sq ft

Step-by-step explanation:

2 * 2 = 4

9 * 6 = 54

54+4=58

The First step Linear Expression shows is 5+3/x

An algebraic expression known as a linear expression has terms that are either constants or variables raised to the first power. Alternatively put, none of the exponents can be greater than 1. As an illustration, while x is a variable raised to the first power, x2 is a variable raised to the second power. An illustration of a constant is 5.

so when this linear expression 5x + 3 is divided by  x then the first step will be

5 + 3/x

Read more about linear expression here:

https://brainly.com/question/819568

#SPJ4

Answer:

-3

Step-by-step explanation:

Answer:

x-intercepts: (6,0)

y-intercepts: (0,3)