A set of pens sells for $3. 75 and costs $1. 50 to make. Thirty percent of the profit (the difference between the purchase price and the amount it costs to make) from each set of pencils goes to a school. If 600 sets are sold, what is the amount of money that will go to the school?

Answer:

a. x = [tex]\frac{1}{12}[/tex]

b. [tex]\frac{1}{4}[/tex] = 1x

c. 3x = [tex]\frac{3}{3}[/tex]

d. x = [tex]\frac{1}{20}[/tex]

e. x = [tex]\frac{10}{3}[/tex]

Answer:

that looks hard

Step-by-step explanation:

thx for the points

Answers: 0.125, 1, 8, 64, 512

Step-by-step explanation: Hope this helps! :)

[tex]8^{-1} = 0.125[/tex]

[tex]8^{0} = 1[/tex]

[tex]8^{1} = 8[/tex]

[tex]8^{2} = 64[/tex]

[tex]8^{3} = 512[/tex]

Answer:

Step-by-step explanation:

The sides of a triangle measure 6, 8 and 10 cm. What is the area of the triangle?

from the data it is a right triangle, 10 cm is the hypotenuse

so

1/2 (6 * 8) =

1/2 * 48 =

24 units²

Answer:

Answer:

(x+12) (x+2)

Step-by-step explanation:

x^2+14x+24

24x^2. factors= +12, +2

(x+12) (x+2)

Answer:

Vertical Asymptote at: x = - 1.5

Slanted Asymptote at: y = -x  9/2

Step-by-step explanation:

See image (I HAVE NO IDEA IF YOUR SUPPOSED TO GIVE THE SLANTED ASYMPTOTE. THE PROBLEM ONLY SAYS VERTICAL AND HORIZONTAL ONLY, SO I GUESS ONLY DRAW THE GREEN LINE, NOT THE PURPLE ONE!)

So only draw the x = - 1.5 line that is green!

If the angles are equal, then, x = 9.

Simplification of expressions means rewriting the same algebraic expression with no like terms and in a compact manner.

Given are two angles, 3x -8° and 2x + 1°, simplifying by equating them,

3x -8° = 2x + 1°

x = 9

Hence, If the angles are equal, then, x = 9.

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Answer:

○ [tex]\displaystyle x^2 + 4x + 13[/tex]

Step-by-step explanation:

Sinse this expression is unfactourable with rational quantities, use the Quadratic Formula:

[tex]\displaystyle -B ± \frac{\sqrt{B^2 - 4AC}}{2A} = x\\ \\ -4 ± \frac{\sqrt{[-4]^2 - 4[1][13]}}{2[1]} = x \hookrightarrow -4 ± \frac{\sqrt{16 - 52}}{2} = x \hookrightarrow -4 ± \frac{\sqrt{-36}}{2} = x \hookrightarrow \frac{-4 ± 6i}{2} = x \\ \\ \boxed{-2 - 3i, -2 + 3i = x}[/tex]

I am joyous to assist you at any time.

Answer:

  y = √(5x+34)

Step-by-step explanation:

The regression formula that matches a square root function to these points can be worked out by a suitable calculator. The attachments shows the points are matched exactly by the function ...

  y = √(5x+34)

__

If you would like to work this by hand, you can put the (x, y) point values into the proposed equation and see what the coefficients need to be:

  y = √(ax +b)

  7 = √(3a +b)   ⇒   49 = 3a +b

  8 = √(6a +b)   ⇒   64 = 6a +b

Subtracting the first equation from the second, gives ...

  (64) -(49) = (6a +b) -(3a +b)

  15 = 3a   ⇒   a = 5

  49 = 3(5) +b   ⇒   b = 34

Answer:

(1, 3) depending if it counts as 1 2 3 4 5... not 1...5...10

Step-by-step explanation:

so i think the solution was where the two lines cross?

Answer:

(-1,3)

Step-by-step explanation:

The solution to the system of equations is where the two graphs intersect.

The two lines intersect at x=-1  and y = 3

(-1,3)

Given :

⠀

To Find :

⠀

Solution :

Perimeter of the plank :

[tex]\: {\qquad \dashrightarrow \sf 2 \times (Length + Breadth) }[/tex]

[tex]\: {\qquad \dashrightarrow \sf{{ 2 \times (300 + 30) \: cm }}}[/tex]

[tex]\: {\qquad \dashrightarrow \sf{{ 2 \times (330) \: cm }}}[/tex]

[tex]\: {\qquad \dashrightarrow \sf{{ 600 \: cm }}}[/tex]

⠀

Area of the plank :

[tex]\: {\qquad \dashrightarrow \sf (Length \times Breadth) }[/tex]

[tex]\: {\qquad \dashrightarrow \sf (330 \times 30) \: {cm}^{2} }[/tex]

[tex]\: {\qquad \dashrightarrow \sf 9 000 \: {cm}^{2} }[/tex]

⠀

Step-by-step explanation:

Given :-

To find :-

Solution :-

Perimeter of rectangular plank = 2(L+W)

putting the values,

perimeter = 2(300+30)cm

⇝660 cm

Area of rectangular plank = L × W

putting the known values ,

Area = 300 × 30 cm²

⇝ 9000cm²

Answer:

M = 20

Step-by-step explanation:

given M is directly proportional to r³ then the equation relating them is

M = kr³ ← k is the constant of proportion

to find k use the condition when r = 4, M = 160 , then

160 = k × 4³ = 64k ( divide both sides by 64 )

[tex]\frac{160}{64}[/tex] = k , then

k = 2.5

M = 2.5r³ ← equation of proportion

when r = 2 , then

M = 2.5 × 2³ = 2.5 × 8 = 20

Answer:

A

Step-by-step explanation:

the sides s of a cube are congruent

the volume (V) of a cube is calculated as

V = s³ = 2³ = 8 ft³

Answer:

384sqrt3

Step-by-step explanation:

The formula for the area of a hexagon is A = 3sqrt3 times s^2 /2

Plug in s = 16 to get A = 3sqrt3 times 16^2 (256) / 2

3sqrt3 times 256 is 768sqrt3

You divide that by 2 to get 384sqrt3

Answer:

Step-by-step explanation:

Initial function is

Changed function is

This is best explained when graphed. See below to confirm the correct option

f(x+8)

So

x² is changed to (x+8)²

Change in x

It will shift 8 units left

Option B

Answer:

The method used in solving the example above is called the elimination method, because we eliminate one variable first, to get a linear equation in one variable. In the example above, we eliminated y. We could also have eliminated x. Try doing it that way. 2. You could also have used the substitution, or graphical method, to solve this problem. Try doing so, and see which method is more convenient.

First multiply both the equations by some suitable non-zero constants to make the coefficients of one variable (either x or y) numerically equal. Step 2: Then add or subtract one equation from the other so that one variable gets eliminated. If you get an equation in one variable, go to Step 3. If in

we obtain a true statement involving no variable, then the original equations has infinitely many solutions. If in Step 2, we obtain a false statement involving no variable, then the original pair of equations has no solution, i.e., it is inconsistent.

Solve the equation in one variable (x or y) so obtained to get its value.

Substitute this value of x (or y) either of the original equations to get the value of the other variable.

Step-by-step explanation:

Answer:

I'm not 100% sure but i think its a  

Step-by-step explanation:

Both have 2 heads and 2 tails so that's 4 and it's a fair game and b is wrong and you will eliminate c.

The game is fair because there is an equal chance of winning an losing the game.

Probability is simply how likely something is to happen.

[tex]P(E )=\frac{Number\ of \ favorable\ outcomes }{Total\ number \ of outcomes}[/tex]

Where,

P(E) is the probability of an event.

A fair game is the game in which there is an equal chance of wining or losing.

According to the given question.

Two coins are tossed.

[tex]\implies sample\ space= \{ HH, HT, TH, TT\}[/tex]

[tex]\implies total\ number \ of outcomes = 4[/tex]

Therefore,

The probability that you win is given by

[tex]P(E_{1} )=\frac{Number\ of \ favorable\ outcomes }{Total\ number \ of outcomes}[/tex]

[tex]\implies P(E_{1} )= \frac{1}{4}[/tex]                            (getting HH is a favorable outcome)

[tex]\implies probability\ of\ losing\ the\ game = 1-\frac{1}{4} =\frac{3}{4}[/tex]

And, the probability that your friend wins the game is given by

[tex]P(E_{2}) = \frac{Total\ number\ of\ favorable\ outcomes\ }{Total\ number\ of\ outcomes}[/tex]

[tex]\implies P(E_{2} )=\frac{1}{4}[/tex]                    (getting TT is the favorable outcome)

[tex]\implies probability\ of\ losing\ the\ game = 1-\frac{1}{4} =\frac{3}{4}[/tex]

Hence, the game is fair because there is an equal chance of winning an losing the game.

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Answer:

It would be 8 cups of flour.

Answer:

8 cups

Step-by-step explanation:

Step-by-step explanation:

Speed is independent and distance is dependent

Distance depends on the speed

Speed influences the distance

Answer:

The sine of an angle is equal to the cosine of its complementary angle, and the cosine of an angle is equal to the sine of its complementary angle.

Step-by-step explanation:

so the answer is D.

Answer:

24, 12, 6, 3, 1.5, 0.75,0.375, 0.1875, 0.09375

The BOLD number is your answer, and the other ones are the sequence. oof, that was a lot of calculating!

Thanks!

Answer:

0.046875

Step-by-step explanation:

Each number is being divided in half each time.

24 / 2 = 12

12 / 2 = 6

6 / 2 = 3

3 / 2 = 1.5

1/5 / 2 = 0.75

0.75 / 2 = 0.375

0.375 / 2 = 0.1875

0.1875 / 2 = 0.09375

0.09375 / 2 = 0.046875 <--- This is the ninth term of the sequence.

Answer:

The next 3 steps are:
#1: [tex]\sqrt{ (x+2)^{2}} =\sqrt{10}[/tex] -- Using the square root method, we're going to find the square root of both sides.

#2: [tex]x+2 = \frac{+}{} \sqrt{ 10 }[/tex] -- When finding the square root of 10 it has to be + and minus.

#3: [tex]x + 2 = \frac{+}{}\sqrt{10} \\ -2 \ \ \ \ \ \ \ -2\\[/tex] -- Subtract 2 on both sides

#4 (solution): [tex]x = -2 \frac{+}{} \sqrt{10}[/tex]

Answer:

9/4 seconds

Step-by-step explanation:

Plug 13 into the equation

13=94-16t^2

subtract 94

-81=-16t^2

divide by -1

81=16t^2

take the square root of both sides

9=4t

divide by 4

t=9/4

Answer:

Step-by-step explanation:She can bowl 8 games and what I did was subtract the $4.25 from the $25and thethen divide the rest by the 2.52.50

Answer:

100

Step-by-step explanation:

Angle x and the angle equaling 100 are vertical angles.

the 45 degree angle is just there to confuse you

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{40\% of 59}}{\left( \cfrac{40}{100} \right)59}\implies 23.6~\hfill \underset{sale~price}{\stackrel{59~~ - ~~23.6}{35.4}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{8\% of 35.4}}{\left( \cfrac{8}{100} \right)35.4}\implies 2.832~\hspace{10em}\underset{\textit{sale price plus tax}}{\stackrel{35.4~~ + ~~2.832}{\approx 38.23}}[/tex]

Answer:

Step-by-step explanation:

maggie should get 37 candles in order for the 37 birthday

Answer:

116.663333333 repeating

Step-by-step explanation:

do 349.99 divided by 3

Answer: 86 + 7.5 = 93.5

Step-by-step explanation:

Answer:

The discount is $18.20 which changes the price of the jeans to $27.30.