MATHEMATICS HIGH SCHOOL

Solve the equation for k.
k=5/12
omg please help me

Answers

Answer 1

Answer: 5 divided by 12 is 0.41666667

Answer 2

Answer:

Answer:

k=0.416

Step-by-step explanation:

k= $(5)/(12)$ right?

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There are 5280 feet in a mile how many feet are there in a marathon which is 26.2 miles

Answers

Answer:

138,336 feet

Step-by-step explanation:

To determine the number of feet in a marathon, multiply the number of feet in 1 mile by the number of miles.

If 1 miles has 5,280 feet, then 26.2 miles will have 26.2(5280) = 138,336 feet.

Simplify the expression-3(b-7)

Answers

-3(b - 7)

Multiply -3 into the parenthesis.

= -3b + 21.

Multiply -3 to each term in the parentheses:
-3(b)= -3b
-3(-7)= 21
These are not like terms, so write them as an expression:
-3b + 21 or 21 - 3b

a community hall is in the shape of a cuboid. the hall is 20m long, 15m wide and 4m high. the community hall needs re-decorating with new paint for the walls and ceiling, and new tiles on the floor. a 20l tin of paint covers 40 squared metres and costs £15. 1 squared metre floor tiles cost £3 each. work out the total cost of paint and tiles needed to decorate the community hall.

Answers

Answer:

the total cost of paint and tiles needed to decorate the community hall is £105 + £900 = £1005.

Step-by-step explanation:

Area of the walls:

- The community hall is shaped like a cuboid, so the walls are the four rectangular sides.

- The length and height of each wall are given as 20m and 4m, respectively.

- The total area of the walls is the sum of the areas of all four walls: 2 * (length * height + width * height).

- Substituting the given values, we have: 2 * (20m * 4m + 15m * 4m).

2. Area of the ceiling:

- The ceiling is also a rectangle, with the same length and width as the floor.

- The area of the ceiling is given by length * width: 20m * 15m.

3. Area of the floor:

- The area of the floor is the same as the area of the ceiling: 20m * 15m.

Now, let's calculate the areas:

1. Area of the walls:

- 2 * (20m * 4m + 15m * 4m) = 2 * (80m^2 + 60m^2) = 2 * 140m^2 = 280m^2.

2. Area of the ceiling:

- 20m * 15m = 300m^2.

3. Area of the floor:

- 20m * 15m = 300m^2.

Next, we can calculate the number of tins of paint and tiles needed and their costs:

- Number of tins of paint needed = Area of walls / Coverage per tin = 280m^2 / 40m^2/tin = 7 tins.

- Cost of paint = Number of tins * Cost per tin = 7 tins * £15/tin = £105.

- Number of tiles needed = Area of floor / Area per tile = 300m^2 / 1m^2/tile = 300 tiles.

- Cost of tiles = Number of tiles * Cost per tile = 300 tiles * £3/tile = £900.

Therefore, the total cost of paint and tiles needed to decorate the community hall is £105 + £900 = £1005.

yes, i am a student

Your mother has left you in charge of the annual family yard sale. Before she leaves you to your entrepreneurial abilities, she explains that she has made the job easy for you: everything costs either $1.50 or $3.50. She asks you to keep track of how many of each type of item is sold, and you make a list, but it gets lost sometime throughout the day. Just before she’s supposed to get home, you realize that all you know is that there were 150 items to start with (your mom counted) and you have 41 items left. Also, you know that you made $227.50. Write a system of equations that you could solve to figure out how many of each type of item you sold.A) x + y = 109
(1.5)x + 227.50 = (3.5)y
B) x + y = 109
(3.5)x + 227.50 = (1.5)y
C) x + y = 41
(1.5)x + 227.50 = (3.5)y
D) x + y = 109
(1.5)x + (3.5)y = 227.50
E) x + y = 150
(1.5)x + (3.5)y = 227.50
F) x + y = $3.50
(1.5)x + (3.5)y = 227.50

Answers

Answer:

$D)\ x + y = 109\n(1.5)x + (3.5)y = 227.50$

Step-by-step explanation:

Let the items sold with price $1.5 = $x$

Let the items sold with price $3.5 = $y$

Initially, total number of items = 150

Items left at the end of the day = 41

So, number of items sold throughout the day = Total number of items - Number of items left

Number of Items sold = 150 - 41 = 109

So, the first equation can be written as:

$\bold{x+y = 109} ....... (1)$

Now, let us calculate the sales done by each item.

Sales from item with price $1.5 = Number of items sold $*$ price of each item

= (1.5) $x$

Sales from item with price $3.5 = Number of items sold $*$ price of each item

= (3.5) $y$

Total sales = $\bold{(1.5)x+(3.5)y = 227.50} ....... (2)$

So, the correct answer is:

$D)\ x + y = 109\n(1.5)x + (3.5)y = 227.50$

A manufacturing company with 450 employees begins a new product line and must increase their number of employees by 18%. How many total employees does the company now have?

Answers

Answer:

The total number of employees company have now are 531 .

Step-by-step explanation:

As given

A manufacturing company with 450 employees begins a new product line and must increase their number of employees by 18%.

18% is written in the decimal form .

$= (18)/(100)$

= 0.18

Increase in number of employees = 0.18 × Number of employees in company .

= 0.18 × 450

= 81

Total number of employees company have now = Number of employees + Increase in number of employees

= 450 + 81

= 531

Therefore the total number of employees company have now are 531 .

You just multiply 450 by .18 and it'll give you the 18% you have to add to 450.
So the equation would look like:

450(.18)=81

Which you then add:

450+81= 531

So 531 is your total!

Given h(x) = x24, find h(-8)