3. The diameter of a cylindrical column is 60cm and
its height is 4.2m
The cost of making it is £67.50 per cubic metre.
What is the cost of making it?

Answer:

The equation of the line is:

Step-by-step explanation:

Given the table

x             y

0            0

1             3

2            6

3            9

4            12

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Taking the two points from the table

Determining the slope between (1, 3) and (2, 6)

(x₁, y₁) = (1, 3)

(x₂, y₂) = (2, 6)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [6 - 3] / [2 - 1]

               = 3 / 1  

               = 3

Thus, the slope of the line = m = 3

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the table, it is clear

at x = 0, y = 0

Thus, the y-intercept b = 0

now substituting m = 3 and b = 0 in the slope-intercept form of the line equation

y = mx + b

y = 3x + 0

y = 3x

Therefore, the equation of the line is:

The graph of the line equation y = 3x is also attached.

Answer:

7

Step-by-step explanation:

x+5x<12

x+5x=12

12-5x

=7

7 divide by 1

=7

Answer:

x=4

Step-by-step explanation:

20x+5+24x-1=180

44x=176

x=4

Answer:

1 ,2,4,5,10,-1,-2,-4,-5,-10,20

Answer:

factors are 2 and 5.

Step-by-step explanation:

Factors are numbers which you can multiply together to get another number. For Example : The numbers 2 and 3 are factors of 6 because 2 x 3 = 6. A number can have many factors! Example : 2 and 4 are factors of 8, because 4 x 2 = 8. Also 1 and 8 can also be factors of 8, because 1 x 8 = 8.

on prime factorization, we get the factors of 20 as,

2 x 2 x 5 = 20.

Essentially, to factor a negative number, find all of its positive factors, then duplicate them and write a negative sign in front of the duplicates. For instance, the positive factors of −3 are 1 and 3.

-2 x 2 x 5 = -20

2 x 2 x -5 = -20

Answer:

[tex]40 {m}^{2} [/tex]

hope it's helpful ❤❤❤❤❤

THANK YOU.

Answer: For the numerator, we know we have to have a positive number in the expression for ln. Therefore, 0">x−2>0, which means 2">x>2. Combining these, we get the domain of the function is all positive values for x which are greater than 2. In interval notation, this is simply (2,∞).

Step-by-step explanation:

Answer:

9.75h + 80 ≥ 500

Step-by-step explanation:

Hi! If we look at the problem, it says that "Jessie earns 9.75 an hour." If it is asking you to use h as the hour, it results to 9.75h. Next, she gets a bonus of 80 dollars every month. 9.75h + 80. Lastly, it says she "needs to earn at least 500 dollars". at least is a fancy way of saying greater than or equal to '≥'.

Hope this helps!

Answer:

1/64

Step-by-step explanation:

Answer:

mp=cp+40%of cp=140cp/100=1.4cp

discount=20%

cp=6000

mp=1.4cp=1.4×6000=8400

sp=mp-d%of mp=8400-20/100×8400=8400-1680=6720

sp with vat=sp+vat %of sp=6720+13/100×6720=6720+873.6=7593.6

Answer:

Mr Lee gets 9kg

Mrs Scarlett gets 6kg

Step-by-step explanation:

First, we have 15kg of chocolate and a total of 6 + 4 = 10 people.

We want to divide the 15kg of chocolate evenly between these 10 people, then we just need to do the quotient

15kg/10 = 1.5kg

This means that each person gets 1.5 kg of chocolate.

Now, Mr. Lee has a family of 6 people, and each one of these 6 people got 1.5 kg of chocolate, then the total amount of chocolate that Mr. Lee will bring home is 6 times 1.5kg:

6*1.5kg = 9kg

And Mrs Scarlett will get the remaining, that is:

15kg - 9kg = 6kg

Mrs Scarlett will get 6kg of chocolate.

Answer:

x = 4

Step-by-step explanation:

(7 + 2x) / 3 = 5

Cross product

7 + 2x = 5 * 3

7 + 2x = 15

Subtract 7 from both sides

2x = 15 - 7

2x = 8

Divide both sides by 2

x = 8/2

x = 4

Answer:

X intercepts: (21,0)

Y intercepts: (0, -15)

Step-by-step explanation:

To find the x-intercept, substitute 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

Answer: 16pi

Step-by-step explanation:

Answer: i have no clue?

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

100 = 2x + 4y > 100 = 2x+40 > 60 = 2x> x = 30

Answer:

40.9 - 5y

Step-by-step explanation:

25.6 - 5y + 15.3

40.9 - 5y ## ^ combine like-terms

Answer:

51

Step-by-step explanation:

4% as a decimal is 0.04, so you can just do 0.04 * 1275 = 51.

Answer:

-51

Step-by-step explanation:

ree

Answer:

first 2.55 Miles

3.4 times 0.75

Step-by-step explanation:

second answer in the picture

Answer:

C 22

Step-by-step explanation:

equation is 2(pie)r

so yeah solve by using 2(3.14)3.5

:)

Answer:

n equals 4

Step-by-step explanation:

Answer:

32 F

Step-by-step explanation:

Answer:

21 glasses

Step-by-step explanation:

6 glasses in a bottle

3 x 6 = 18

3 glasses in half a bottle

18 + 3 = 21

Answer:

21 glasses

Step-by-step explanation:

let 'g' = glasses of water

create a proportion, glasses over bottles equals glasses over bottles

1 = g

1/6   7/2

cross-multiply:  1/6g = 7/2

cross-multiply:  2g = 42

g = 21

Answer:

3/9

Step-by-step explanation:

3/9 because it goes up 3 right 9

Answer:

B

Step-by-step explanation:

Answer:

Y = 3 - 2x

Step-by-step explanation:

Answer:

Step-by-step explanation:

When you have a negative exponent, you can put a 1 over the entire thing and make the exponent positive:

[tex]\frac{1}{(\frac{1}{4}^2) }=\frac{1}{\frac{1}{16} } =16[/tex]