Find the value of cos I rounded to the nearest hundredth, if necessary.
18
K
J
30
24
I

Answer:

$40.50

Step-by-step explanation:

9% of 450 is 40.5

The linear systems of inequalities model this situation will be 2x + 3y ≥ 30 and 6x + 4y ≤ 120. Then the correct option is A.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A woodworking artist makes two types of carvings: type X and type Y.

He spends 2 hours making each type X carving and 3 hours making each type Y carving, and he can spend up to 30 hours each week making carvings.

His materials cost him $6 for each type X carving and $4 for each type Y carving, and he must keep his weekly cost for materials to $120 or less.

If x is the number of type X carvings he makes in a week and y is the number of type Y carvings he makes in a week.

Then the linear systems of inequalities models this situation will be

2x + 3y ≥ 30 and 6x + 4y ≤ 120

Thus, the correct option is A.

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ1

Answer:

334 dozen cookies.

Step-by-step explanation:

1000=3x

Let x = dozen of cookies sold

3x=1000

x=1000/3

x=333.33

Since 333.33 isn't a whole number, we need to round it up to 334 since rounding it down to 333 won't raise 1000 dollars.

Answer:

6

Step-by-step explanation:

Its simple,

first you find the multiplier, to do this you do:

6/4 which is 2.5

then we do 15 / 2.5

which is 6

Answer:

x=8

Step-by-step explanation:

Let's say this mystery number is x.

6 times this x is 16 less than the square of x so we can write this as:

[tex]6x = x^2 - 16[/tex]

We can then re-arrange this into a quadratic and simplify it so:

[tex]x^2 -6x-16 =0[/tex]

[tex](x-8)(x+2)[/tex]

x=8, x=-2

And since the question is asking for the positive solution,
x=8

Answer:

π x³ /12 is the volume of the cone if  A cone has a height of x and a diameter of x

Step-by-step explanation:

The base diameter and the height of a cone are both equal to x units

Diameter of cone = x  units

Radius = Diameter /2

=> Radius of cone = x/2 units

Height of cone =x units

Volume of cone = (1/3) π r²h

r = radius h = height

=> Volume of cone =  (1/3)π (x/2)² * x

= (1/3) π (x²/4) * x

= (1/12)  π x³

= π x³ /12 cubic units

Answer:

$23.12

Step-by-step explanation:

With breakfast included the total would be $142.99. Without breakfast it would be $119.87. So to get the difference it would be:

$142.99 - $119.87 = $23.12

Answer:

The answer is in the picture.

Step-by-step explanation:

[tex]2+\frac{3}{10x}\geq\frac{13}{20} \\\\\frac{3}{10x}\geq\frac{13}{20} -2 \\\\\frac{3}{10x}\geq\frac{13}{20} -\frac{40}{20} \\\\\frac{3}{10x}\geq-\frac{27}{20} \\\\3\geq-\frac{27}{20}*10 x \\\\3\geq-\frac{270}{20} x\\\\3\geq-\frac{27}{2} x \\\\3*-\frac{2}{27} \leq x\\\\-\frac{6}{27} \leq x\\\\-\frac{2}{9} \leq x[/tex]

Also x cannot equal to 0 if you plug in into the original equation the answer is indefinite/not solution.

Answer:

x ≥ -42

Step-by-step explanation:

[tex]\frac{x}{7} > =-6[/tex]

[tex]\frac{x}{7}\cdot 7 > =-6\cdot 7[/tex]

[tex]\frac{1}{7}\cdot 7x > =-6\cdot 7[/tex]

[tex]x > =-6\cdot 7[/tex]

[tex]x > =-42[/tex]

Shortcut

• Multiply positive 7 by negative 6 to find x as a shortcut.

Answer: THE ANSWER ON ACELLUS IS -1

Step-by-step explanation:

I found this answer on a site used to do sin cos and tangent

The y-value corresponding to an x-value of [tex]\( \frac{3\pi}{2} \)[/tex] in the function [tex]\( y = \sin(x) \) is \( y = -1 \).[/tex]

To find the y-value corresponding to an x-value of [tex]\( \frac{3\pi}{2} \)[/tex] in the function [tex]\( y = \sin(x) \),[/tex] simply substitute [tex]\( x = \frac{3\pi}{2} \)[/tex] into the function:

[tex]\( y = \sin\left(\frac{3\pi}{2}\right) \)[/tex]

Now, let's evaluate the sine function at [tex]\( \frac{3\pi}{2} \):[/tex]

[tex]\( y = \sin\left(\frac{3\pi}{2}\right) = -1 \)[/tex]

So, the y-value corresponding to an x-value of [tex]\( \frac{3\pi}{2} \)[/tex] in the function [tex]\( y = \sin(x) \) is \( y = -1 \).[/tex]

To know more about x-value:

https://brainly.com/question/32123119

#SPJ2

Answer:

They bought 6 vanilla wafers and 21 chocolate, they add up to 27.

x = amount of vanilla wafers

y = amount of chocolate wafers.

4x+y = 45

x+y= 27

Step-by-step explanation:

x = amount of vanilla wafers

y = amount of chocolate wafers

Vanilla wafers = 4$ each

Chocolate wafers = 1$ each.

So, 4x+y = 45 and x+y= 27 because they spent 47$ on 27 packs.

With both equations we can substitute.

1. Change one equation so one variable is on one side

x+y = 27 to y = 27-x

2. Substitute the variable from the other equation.

4x+y = 45 to 4x+27-x = 45

3. Solve the equation for x.

4x+27-x = 45

3x+27 = 45

3x = 18

x = 6 (amount of vanilla wafers)

4. substitute with equation.

y = 27-x to y = 27-6

5. Solve the equation for y.

y = 27-6

y = 21 (amount of chocolate wafers)

Answer:

f(x) = (x − 1)2(x + 1)(x − 3)

Step-by-step explanation:

Look at where the red line crosses/ touches the x-axis. This will give you the zeros.

It crosses at -1, touches at 1, and crosses again at 3

This means the zeros are -1, 1 and 3

Now, you need to have (x+1) (x-3) and (x-1) as factors.

Therefore, the answer is f(x) = (x − 1)2(x + 1)(x − 3).

Answer:

x = -3 + √42

Step-by-step explanation:

1) Expand the square

2) Distribute
3) Distribute

4) Distribute

5) Combine like terms

6) Add the numbers

7) Move terms to the left side

8) Subtract the numbers

9) Use the quadratic formula

10) Simplify

11) Separate the equations

12) Solve

Therefore, the solution of this equation is x = -3 + √42

Step-by-step explanation:

(x + 3)² + 4 = 46

(x + 3)² = 42

x + 3 = ±sqrt(42)

x = ±sqrt(42) - 3

x1 = sqrt(42) - 3 = 3.480740698...

x2 = -sqrt(42) - 3 = -9.480740698...

Answer: b

Step-by-step explanation:

The expression represents the surface area of the prism is 2.24+120+160+200. Therefore, option B is the correct answer.

Here a triangular prism has been provided with some measurements.

We have to find Which expression can be used to find the surface area of the following triangular prism.

The formula for the surface area of a triangular prism is formed by adding up the area of all the rectangular and triangular faces of a prism. Observe the following figure of a triangular prism to know the dimensions that are considered to frame the formula.

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 +S2 + S3)L + bh

Here, S1, S2 and S3 are sides of triangles, l=length of the prism, b=base and h=height.

Now, (6+8+10)20+8×6=120+160+200+48

=2.24+120+160+200

The expression represents the surface area of the prism is 2.24+120+160+200. Therefore, option B is the correct answer.

To learn more about the surface area of the prism visit:

https://brainly.com/question/24732133.

#SPJ5

Answer:

20 g/cm³

Step-by-step explanation:

mass = 180g

volume = 9 cm³

density =mass/volume

=180/9= 20 g/cm³

Answer:

0

Step-by-step explanation:

just plug it into a calculator

Step-by-step explanation:

45 and 22 multiplied would be your answer

Given the function, j(x) = 47x, the number of jumps you can do in 15 minutes is: 705.

A function models the relationship between an input value and its corresponding output value.

Given the function, j(x) = 47x, number of jumping jacks you do in 15 minutes, is:

j(15) = 47(15)

j(15) = 705

Number of jumping jack in 15 minutes is: 705.

Learn more about a function on:

https://brainly.com/question/10439235

#SPJ1

The Jocelyn needs to pay $87.5 if Jocelyn order cakes from store B if store A charges $1.50 per serving plus a $25.00 delivery charge. Store B charges $2.25 per serving and no delivery charge.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the total cost is $x if Jocelyn purchase cake from store A:

x = 1.50×150 + 25

x = 225+25 = $250

Let's suppose the total cost is $y if Jocelyn purchase cake from store B:

y = 2.25×150

y = $337.5

Difference between total cost = 337.5 – 250 = $87.5

Thus, the Jocelyn needs to pay $87.5 if Jocelyn order cakes from store B if store A charges $1.50 per serving plus a $25.00 delivery charge. Store B charges $2.25 per serving and no delivery charge.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

Answer:

8/9n - 3

Step-by-step explanation:

Answer:

35%

Step-by-step explanation:

40% + 25% = 65% minus that bye 100 you would get 35% the reason the answer isn't 65 is because add 40+25+65=130 which a whole is equal to 100 but if you do 40+25+35= 100 so thr answer is 35% :)

Answer:

15, C

Step-by-step explanation:

Any number is equally likely to appear. Therefore, we have 3/20 * 100 = 15. This is C.

Hope this helped!

~clouddragon

[tex]300a {}^{z + 1} bc[/tex]

The length of AB is 4.12 units, length of BC is 8.25 units and Perimeter of rectangle ABCD is 24.74 units.

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Here,

A (-3, 3) and B (1, 4)

then, Length of AB = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

                               = [tex]\sqrt{(1-(-3))^2+(4-3)^2 }[/tex]

                               = [tex]\sqrt{4^2 + 1^2}[/tex]

                               = [tex]\sqrt{17}[/tex] units.

                               = 4.12 units

B (1, 4) and C (3, -4)

then, Length of BC = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
                                = [tex]\sqrt{(3 - 1)^2+(-4 - 4)^2 }[/tex]

                                = [tex]\sqrt{4 + 64}[/tex]

                                = [tex]\sqrt{68}[/tex]

                                = 8.25 units

Perimeter of Rectangle = 2 ( AB + BC )

                                        = 2 ( 4.12 + 8.25 )

                                        = 2 X 12.37

                                        = 24.74 units

Thus, the length of AB is 4.12 units, length of BC is 8.25 units and Perimeter of rectangle ABCD is 24.74 units.

Learn more about Perimeter of Rectangle from:

https://brainly.com/question/15287805

#SPJ1

Answer:

  (D)

Step-by-step explanation:

The box plot is a visual representation of the 5-number summary of the data. It shows the extremes, the quartiles and the median.

__

Each data set has 11 elements, sorted into increasing order.

The first and last elements of the data set correspond to the ends of the whiskers, so you are looking for a set that ranges from 3 to 18. (This eliminates choice B.)

The median will be the middle element, the 6th from either end. The vertical line in the box identifies its value as 10. (This eliminates choice A.)

The first quartile is the middle element of the bottom half of the data set (what remains after the median and above elements are removed). There are 5 elements in the bottom half, so the first quartile is the 3rd one. It is signified by the left end of the box in the box plot. Its value is 7. (This eliminates choice C.)

Similarly, the third quartile is the 3rd element from the right end of the data set. The value 13 in choice D matches the right end of the box in the box plot.

The box plot represents the data set in Choice D.

Let's start with the given arc and its angle.

The angle YWX is going to be half the arc length.

YWX = 1/2 (226) = 113

Angles VWX and YWX form a linear pair (or are supplementary angles), which means that their sum is 180 degrees.

(15x - 8) + 113 = 180

15x + 105 = 180

15x = 75

x = 5

Hope this helps!

Answer:

The scale of the drawing to become the statue is 7, and likewise for the statue to become the drawing it is 1/7.

Drawing * Scale = Statue

Take the first dimension:

9 * scale = 63

63/9 = scale

scale = 7

Answer:

7

Step-by-step explanation:

The scale factor is the ratio between the actual size and the model size.

Here, they are termed as "statue" and "drawing" respectively.

Finding scale factor :

Answer:

A

Step-by-step explanation:

-2+2=5-5

0=0

the correct answer is A

Problem: 2x^2+3x-9

For a polynomial of the form, ax^2+bx+c rewrite the middle term as the sum of two terms whose product a·c=2·-9=-18 and whose sum is b=3.

Factor 3 out of 3x

2x^2+3(x)-9

Rewrite 3 as -3 plus 6.

2x^2+(-3+6)x-9

Apply the distributive property

2x^2(-3x+6x)-9

Remove the parentheses

2x^2-3x+6x-9

Factor out the greatest common factor from each group

Group the first two terms and the last two terms

(2x^2-3x) (6x-9)

Factor out the greatest common factor in each group.

x(2x-3)+3(2x-3)

Factor the polynomial by factoring out the greatest common factor, 2x-3

(x+3) (2x-3). So, the quotient is 2x-3

Thus, the correct answer is Option D 2x-3 with no remainder

answer : 12x²

steps

means put -2x where x is

let f(x) = 3x² what i f(-2x)

3(-2x)²

pemdas

-2x times -2x

4x²

3 times 4x²

12x²