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2 years ago

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The price of an apple is $1.25. If you get 12.5% discount, how much do you have to pay for an apple ?

1 answer:

Inessa05 [86]2 years ago

6 0

Answer:

$1.09

Step-by-step explanation:

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2. It is required to make a closed cylindrical tank of height 1 m and base diameter 140 cm

4vir4ik [10]

Answer:

It's required $7.48\ m^2$ of sheet for the tank

Step-by-step explanation:

<u>Surface Area of a Cylinder</u>

Given a right cylinder of base radius r and height h, the surface area is calculated as follows:

$S=2\pi r^2+2\pi r h$

The cylindrical tank has a height of h=1 m and a base diameter of 140 cm. The radius is half the diameter, thus r=140/2 = 70 cm = 0.7 m. Substituting:

$S=2\pi 0.7^2+2\pi (0.7)(1)$

$S=2\pi 0.49+1.4\pi$

$S=2.38\pi$

$\boxed{S=7.48\ m^2}$

It's required $7.48\ m^2$ of sheet for the tank

7 0

2 years ago

2(5m^4n^-1)^3 simplify show work please

dangina [55]

Answer:

$\large\boxed{2(5m^4n^{-1})^3=250m^{12}n^{-3}=\dfrac{250m^{12}}{n^3}}$

Step-by-step explanation:

$\text{Use}\\\\(ab)^n=a^nb^n\\\\(a^n)^m=a^{nm}\\\\a^{-n}=\dfrac{1}{a^n}\\-------------------\\\\2(5m^4n^{-1})^3=2(5)^3(m^4)^3(n^{-1})^3=2(125)m^{3\cdot4}n^{-1\cdot3}=250m^{12}n^{-3}=\dfrac{250m^{12}}{n^3}$

8 0

3 years ago

Carlo and Anita make mailboxes and toys in their wood shop. Each mailbox requires 1 hour of work from Carlo and 4 hours from Ani

Natali [406]

Answer:

$80

Step-by-step explanation:

Let the number of hours required to make a mailbox = x

Let the number of hours required to make a toy = y

Each mailbox requires 1 hour of work from Carlo and 4 hours from Anita.

Each toy requires 1 hour of work from Carlo and 1 hour from Anita.

The table below summarizes the information for ease of understanding.

$\left|\begin{array}{c|c|c|c}&$Mailbox(x)&$Toy(y)&$Maximum Number of Hours\\--&--&--&------------\\$Carlo&1&1&12\\$Anita&4&1&24\end{array}\right|$

We have the constraints:

$x+y \leq 12\\4x+y \leq 24\\x \geq 0\\y \geq 0$

Each mailbox sells for $10 and each toy sells for $5.

Therefore, Revenue, R(x,y)=10x+5y

The given problem is to:

Maximize, R(x,y)=10x+5y

Subject to the constraints

$x+y \leq 12\\4x+y \leq 24\\x \geq 0\\y \geq 0$

The graph is plotted and attached below.

From the graph, the feasible region are:

(0,0), (6,0), (4,8) and (0,12)

At (6,0), 10x+5y=10(6)+5(0)=60

At (4,8), 10(4)+5(8)=80

At (0,12), 10(0)+5(12)=60

The maximum revenue occurs when they use 4 hours on mailboxes and 8 hours on toys.

The maximum possible revenue is $80.

5 0

3 years ago

Find the approximate side length of a square game board with an area of 157 in^2.

Nesterboy [21]

Answer:

12.52 in.

Step-by-step explanation:

Area of square(A)=157in^2

length of square (l)=?

we know,

A=l^2

or,sqrt 157=l

12.52 in=l

3 0

2 years ago

What is 3(exponent 2) multiplied by 3(exponent 3) ????

rusak2 [61]

$\huge\boxed{243}$

___________________________________________________________

$\boxed{Explanation}$

So, we have the following equation...

$3^2*3^3=(?)$

Remember $3^2$ and $3^3$ is the following...

$3^2=3*3\\3^3=3*3*3$

Therefore, $3*3=9\\3*3*3=27\\9*27=243$

So, your final answer is $\boxed{243}$ .

___________________________________________________________

<em>Glad to help!</em>

$\huge\boxed{Thanks,\;Plip.}$

3 0

2 years ago

Read 2 more answers