Answer:
Explanation:
<u>1. Cost of each liter of yellow paint:</u>
Yellow paint is sold in 5 litre tins and ach tin costs £26, thus the cost of one liter is £26 / 5 liters = £5.2 per liter.
<u>2. Cost of each liter of blue paint:</u>
Blue paint is sold in 10 litre tins and each tin costs £48, thus the cost of one liter of blue paint is £48 / 10 liters = £4.8 per liter
<u>3. Cost of each liter of green paint.</u>
Green paint is made by mixing yellow paint and blue paint in the ratio 2:3
Thus, 5 liters of green paint will cost:
2 liters yellow paint: 2 liter × £5.2 / liter = £10.4
3 liters blue paint: 3 liter × £4.8 / liter = £14.4
========== ========
5 liters green paint: 5 liter £24.8
Cost of one liter of gree paint: £24.8 / 5 liter = £4.96 / liter
<u>4. Profit</u>
Price of each liter of green paint: £66.96 / 10 liters = £6.696 / liter = £6.70 / liter
Profit per liter = price per liter - cost per liter = £6.70/liter - £4.96 / liter = £1.74 / liter
Percentage profit = profit per liter / cost per liter × 100
Percentage profit = (£1.74 / liter) / (£4.96/liter) × 100 = 35.08% = 35%
Answer:
Choice A) 
.
Step-by-step explanation:
What are the changes that would bring 
to 
?
- Translate to the left by
unit, and - Stretch vertically (by a factor greater than .)
. The choices of listed here are related to :
- Choice A)
; - Choice B)
; - Choice C)
; - Choice D)
.
The expression in the braces (for example 
as in ) is the independent variable.
To shift a function on a cartesian plane to the left by 
units, add to its independent variable. Think about how 
, which is to the left of , will yield the same function value.
Conversely, to shift a function on a cartesian plane to the right by units, subtract from its independent variable.
For example, 
is unit to the left of . Conversely, 
is unit to the right of . The new function is to the left of . Meaning that should should add to (rather than subtract from) the independent variable of . That rules out choice B) and D).
- Multiplying a function by a number that is greater than one will stretch its graph vertically.
- Multiplying a function by a number that is between zero and one will compress its graph vertically.
- Multiplying a function by a number that is between
and zero will flip its graph about the -axis. Doing so will also compress the graph vertically. - Multiplying a function by a number that is less than will flip its graph about the -axis. Doing so will also stretch the graph vertically.
The graph of is stretched vertically. However, similarly to the graph of this graph , the graph of increases as increases. In other words, the graph of isn't flipped about the -axis. should have been multiplied by a number that is greater than one. That rules out choice C) and D).
Overall, only choice A) meets the requirements.
Since the plot in the question also came with a couple of gridlines, see if the points 
's that are on the graph of fit into the expression 
.
The key to solving this question is first knowing how many cubic cm are in one cubic m:
The ratio is always 1000000 cubic cm in 1 cubic meter.
Knowing this, we calculate how many cubic cm are in 5 cubic meters!
<u>1000000 cubic cm </u>= <u>1 </u><span><u>cubic m</u>
x </span>cubic cm 5 cubic m
x = 1000000 cubic cm x 5 cubic m ÷ 1 cubic m
x = 5<span>000000 cubic cm
Hope this helps!
Feel free to message me if you have any questions :)</span>
Answer:
Option D is the correct answer - Estimation is best defined as a process of inferring the values of unknown samples statistics from those of known population parameters
Step-by-step explanation:
Estimation involves the usage of the value of a statistic derived from a sample to estimate the value of a corresponding population parameter.
The sample provides information that can be extended, through several formal or informal processes, to determine a range most suitable to describe the missing information.
An estimate that turns out to be incorrect would either be termed as over-estimation or under-estimation. If the estimate exceeds the actual result, it is termed as an over-estimation, and as an under-estimation, if the estimate came short of the actual result.
Thus, option D is correct.
It is 120 because you have to divide 210 by 7 which is 30 then multiply by 4 so 30 x 4 = 120.
