Answer:
The dimensions of the original rectangle are Length =12cm, Width=8cm
Step-by-step explanation:
Let the length of the rectangle be x
Let the width of the rectangle be y
The perimeter of a rectangle is 40cm.
2(x+y)=40
Divide both sides by 2
x+y=20
If the length were doubled(2x) and the width halved(y/2), the perimeter would be increased by 16cm,i.e.(40+16)cm
Therefore:
Divide both sides by 2
From the first equation, x=20-y.
Substitute x=20-y into
Answer:
5 servers and 3 cooks(since a person doesn't exist in fraction)
Step-by-step explanation:
From the question provided above, the manager(who is obviously organizing some kind of party or get-togethers) is expecting a hindered and fifty guests in total .
And it also says that if a server can handle 30 guests and 150,how many of them are need?
Let X be number of servers needed:
X= 150/30 = 5 servers
AND
If a single cook can prepare meals for 60 guests,the number of cooks required to cover for 150 guest will be:
X= 150/60 = 2.5,but since a fraction of a human doesn't exist, we have to say that the manager needs 3 cooks(2 of them will handle a total of 120 guests and the other cook handles the 30 guests)
Answer:
The amount of white fabric to coloured fabric as a ratio is 20:11
Step-by-step explanation:
We are given that For each 11 mm of colored fabric Nick uses to make his curtains, he also uses 2 cm of white fabric.
Length of colored fabric = 11 mm
Length of White fabric = 2 cm
1 cm = 10 mm
2 cm = 20 mm
So, length of white fabric = 20 mm
So, Ratio of the amount of white fabric to coloured fabric =
Hence the amount of white fabric to coloured fabric as a ratio is 20:11
Answer:
For this case from the info given we have the estimated proportion of people who thinks that Children of illegal inmigrants should be able to attend public school
So then the value reported 45% or in fraction 0.45 represent the sample proportion fo interest.
And this value was calculated with a sample of n =1000 people.
And X for this case is 450, because 0.45*1000=450
The real interest is on the population proportion of people who thinks that Children of illegal inmigrants should be able to attend public school
Step-by-step explanation:
Assuming the following question : "Give the relevant proportion using correct notation. Your answer should be an expression composed of symbols: A recent headline states that 45% Think Children of illegal inmigrants Should Be Able to Attend Public School. The report gives the results of a survey of 1000 randomly selected likely voters in the US."
For this case from the info given we have the estimated proportion of people who thinks that Children of illegal inmigrants should be able to attend public school
So then the value reported 45% or in fraction 0.45 represent the sample proportion fo interest.
And this value was calculated with a sample of n =1000 people.
And X for this case is 450, because 0.45*1000=450
The real interest is on the population proportion of people who thinks that Children of illegal inmigrants should be able to attend public school
Answer:
1
Step-by-step explanation:
(-1) × (-1) × (-1) × (-1)
And - × - = +
+ × + = +
- × + = -
: = 1