If 200 men can make a road 5 km long in 25 days ,how much overtime per day must 60 men can work to finish an road 2 km in 32 days , 12 hours being a day's work ?​

This question is incomplete, the complete question is;

Find the dimensions of the right circular cylinder of maximum volume that can be placed inside of a sphere of radius R(10cm)

What is the maximum volume?

Answer:

a) Dimensions of the cylinder are; Radius = 8.1650 cm , Height = 11.547 cm

b) the maximum volume is 2418 cm³

Step-by-step explanation:

From the image

radius of the sphere is 10cm

radius of the cylinder is x and its height is 2y

so

The volume of cylinder  is V = πr²h = πx²(2y)

Get V as function of just one variable x² + y² = 100

x² = 100 - y²

Therefore V = π( 100-y² )(2y) = 200πy-2πy³

V will be a maximum when V' = 0

V' = 200π - 6πy² =0

y² = 200π / 6π = 100/3

y = √(100/3) = 5.7735

x² = 100 - y²

x² =100 - (100/3)

x = √(200/3)

x = 8.1650

So The maximum volume will occur when the radius is 8.1650 cm

and the height 2y is 2(5.7735) = 11.547 cm

The maximum volume is

πr²h = π(8.1650)² (11.547 )  

= 2418 cm³

Therefore the maximum volume is 2418 cm³

Answer:

a

Step-by-step explanation:

The solution of the inequality 3x + 8 / (x -4 ) ≥ 0 is x≥ -8/3.

Inequalities are mathematical formulas in which neither side is equal. Unlike equations, we compare two values in inequality. In between, the equal sign is substituted by a less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

We have the inequality,

3x + 8 / (x -4 ) ≥ 0

Now, simplifying the inequality

3x + 8 ≥ 0

3x ≥ 0-8

3x ≥ -8

x ≥ -8/3

Learn more about Inequality here:

https://brainly.com/question/30231190

#SPJ5

Answer:

ITS THE 2ND ONE

Step-by-step explanation:

Answer:

y = 5/4x - 1

Step-by-step explanation:

if you look at the graph you will probably be able to tell

im not trying to be me if you think

Answer:

The required expression is: [tex]y = 5 + 2.50b + 2a[/tex]

Step-by-step explanation:

Given

[tex]Entry = \$5[/tex]

[tex]Blueberry = \$2.50[/tex]

[tex]Apple = \$2[/tex]

Required

Write an expression for this scenario

If 1 pound of blueberry cost $2.50

then b pounds = 2.50 * b

If 1 pound of apple cost $2

then a pounds = 2 * a

The required expression (y) is then calculated as

[tex]y = Entry\ Fee + Blueberry = Apple[/tex]

[tex]y = 5 + 2.50 * b + 2 * a[/tex]

[tex]y = 5 + 2.50b + 2a[/tex]

Hence, the required expression is: [tex]y = 5 + 2.50b + 2a[/tex]

Answer:

1/10

Step-by-step explanation:

Cynthia has a bag of jellybeans.

There are two red jellybeans, one yellow jellybean, and two black jellybeans in her bag.

total no. of red jellybeans = 2

total no. of jellybeans = 20

Now,

2 ÷ 20 = 1/10

Thus, The probability that she gives him two red jellybeans is 1/10

Answer:

D. This is a dependent event because Pedro ate the jellybeans, and they cannot be replaced.

Step-by-step explanation:

Pretty much, dependent means it can’t be replaced and independent means it can be replaced.

Answer:

x=4

y=1

Step-by-step explanation:

Answer:

Step-by-step explanation: The answer is Bread(flour) or b(f)

Answer:

that guys answer is right thx and have a god day :)

Step-by-step explanation:

Answer: The answer is -4. Hope this helps!

Answer:

Sandra had 500 beads in a jar, her sister, Dandra has 300 beads less than Sandra. How many beads does Dandra have?

:)

Answer:

I believe the answers in the blank should be 4

Step-by-step explanation:

Answer:

= (4 x 5) + (4 x 2)

Step-by-step explanation:

remember to multiply first, before doing the addition. in this case, multiply 4 by 5, then 4 by 2 to get your answer using distributive property. i always remember the distributive process because if you take off a few letters, it makes distribute. you basically distribute 4, you give each number (5 and 2) a 4 and multiply them. hope this made sense lol

Answer:

8.25 batches.

(Or, if rounding to the lowest amount of batches, 8 batches)

Step-by-step explanation:

We have in total 5 1/2 cups of sugar.

And the recipe calls for 2/3 cups of sugar.

So, to find out how many batches we can make, we can divide the amount of have by the amount needed. So:

[tex]5\frac{1}{2}\div\frac{2}{3}[/tex]

Let's convert the first fraction to improper form. We have 5 1/2. So, in improper form, it will be (5(2)+1)/2 or 11/2.

Therefore:

[tex]=\frac{11}{2}\div\frac{2}{3}[/tex]

To divide fractions, we keep, change, and flip. Therefore:

[tex]=\frac{11}{2}\times\frac{3}{2}[/tex]

Multiply straight across:

[tex]=\frac{33}{4}=8.25[/tex]

So, we can make 8.25 batches.

Or, we can make 8 full batches.

Answer:

792 ways

Step-by-step explanation:

We can solve this using the combination formular

[tex]nCr= \frac{n!}{r!(n-r)!}[/tex] where n represents the total number of objects/items, and r represents the number of items being chosen at a time.

Hence, in this case, n =  12, r = 5, which is = [tex]nCr= \frac{12!}{5!(12-5)!}[/tex] = 792.

Therefore, there are 792 ways to choose five books so that no two adjacent books are chosen.

Answer:

transformations of function 3(-7(x+2))-4

Answer:

x=-5. -5x+10 replace the x with -5, multiply, add ten, and you'll get f(x)= 35

Answer:

-5

Step-by-step explanation:

f(x) =35

f(x) = -5x +10

equate the two equations:

-5x +10 =35

-5x =35-10

-5x =25

x = 25/-5

x = -5

how to do it and the answers are above

i hope this help you

if you don't understand, please comment ✔️✔️✔️

Answer:

1h 54 mins

Step-by-step explanation:

What is asked? : time did they spend in BOTH ways

What are given? : time they go and back

Write the mathematical sentece :

[tex]( \frac{2}{5} \times 60) + (1 \frac{1}{2} \times 60) = [/tex]

Solution and answer : (24) + (90) = 114 mins

= 114 mins - 60 mins

= 1h 54 mins

Answer:

-36

Step-by-step explanation:

Answer:

169

Step-by-step explanation:

Answer:

y=-3(-4)+5,,,, you get y=12+5  y=17

y=-3(-2)+5,,,, you get y=6+5  y=11

y=-3(0)+5,,,, you get y=0+5  y=5

y=-3(2)+5,,,, you get y=-6+5 y=-1

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

We have the two functions:

[tex]f(x)=-4x+3\text{ and } g(x)=3x^2+2x-4[/tex]

And we want to find (f+g)(x).

Note that this is the same thing to f(x)+g(x). Therefore:

[tex]\begin{aligned} (f+g)(x)&=f(x)+g(x) \\ &=(-4x+3)+(3x^2+2x-4) \end{aligned}[/tex]

We simply substituted them for their equations.

Simplify. Combine like terms:

[tex]=(3x^2)+(-4x+2x)+(3-4)[/tex]

Add:

[tex]=3x^2-2x-1[/tex]

Hence, our answer is A.

Answer:

[tex]Total = \$5.94[/tex] ---- in dollars

[tex]Total = 594\ cents[/tex] ---- in cents

5 dollars 94 cents

Step-by-step explanation:

Given

Pears

[tex]Weight = 2\frac{3}{4}\ lb[/tex]

[tex]Amount = \$0.76[/tex] per pound

Grapes

[tex]Weight = 2\frac{3}{4}\ lb[/tex]

[tex]Amount = \$1.40[/tex] per pound

Required

Determine the amount paid for the fruit in dollar and cents

First, we need to calculate the amount paid for each fruit.

This is calculated by multiplying the amount per pound by the number of pounds bought.

For Pears:

[tex]Total_{Pears} = 2\frac{3}{4} * \$0.76[/tex]

Convert fraction to decimal

[tex]Total_{Pears} = 2.75 * \$0.76[/tex]

[tex]Total_{Pears} = \$2.09[/tex]

For Grapes

[tex]Total_{Grapes} = 2\frac{3}{4} * \$1.40[/tex]

Convert fraction to decimal

[tex]Total_{Grapes} = 2.75 * \$1.40[/tex]

[tex]Total_{Grapes} = \$3.85[/tex]

Next, we add both amounts together to get the total amount spent in dollars.

[tex]Total = Total_{Pears} + Total_{Grapes}[/tex]

[tex]Total = \$2.09 + \$3.85[/tex]

[tex]Total = \$5.94[/tex]

Multiply by 100 to convert this amount to cents

[tex]Total = 5.94 * 100\ cents[/tex]

[tex]Total = 594\ cents[/tex]

And it can be represented as dollars and cents as:

5 dollars 94 cents

Answer:

It does!

Step-by-step explanation:

A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.

Source: Columbia.edu

(I'm greedy and want points )

Answer:

Um... Ok..

Step-by-step explanation:

...

Answer:

Check Explanation

Step-by-step explanation:

5b = 25 (equation)

5b (neither)

5(3+4) (expression)

Answer:  inequality form x < 3    interval form: ( -∞, 3)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.