Answer:
The density is equal to the weight divided by the volume:
The paperweight weights 300 grams.
Step-by-step explanation:
The density of the paperweight can be calculated knowing the weight and the volume of this paperweight.
The density is equal to the weight divided by the volume:
We know that the density of this paperweight is 1.5 grams per cm3, and its volume is 200 cm3.
We can use the formula of the density to calculate the weight:
The paperweight weights 300 grams.
Answer:
Step-by-step explanation:
Let the price for children and adults package be represented with x and y respectively.
For the first week the sum of the package will be as follows:
3x+8y = 126
For the two weeks after:
6x+4y= 108
So, we will be having two equations
3x+8y = 126..... (1)
6x+4y= 108.......(2)
These are simultaneous equations
From equation 1
3x+8y = 126
3x = 126-8y
X = 126-8y/3 ............. (3)
Put equation 3 into 2
6 ( 126-8y)/3 +4y = 108
756-48y/3 +4y = 108
756-48y+12y/3 = 108
Cross multiplying
756-48y+12y= 108×3
756-48y+ 12y = 324
Collecting like terms
756-324 = 48y-12y
432= 36y
Divide both sides by 36
432/36 = 36y/36
y= 12
Substituting y into equation 1
3x+8= 126
3x+96=126
3x= 126-96
3x= 30
Divide both sides by 3
3x/3 = 30/3
x = 10
Hence for each of the packages for children and adults. It will be 10 and 12 respectively.
Answer: The number of supervisors are 9 times the number of unicorns.
Step-by-step explanation:
Let the number of supervisors be 'n'.
Let the number of unicorns be 'u'.
According to question, a unicorn daycare center requires there to be 2 supervisors for every 18 unicorns.
So, Mathematically, it is expressed as
so, we established the relationship between the number of supervisors and number of unicorns.
Hence, the number of unicorns are 9 times the number of supervisors.
Answer:
f(x)=
Step-by-step explanation:
Answer:
x = 0.2
Step-by-step explanation:
2x^2+x=-1
4x + x = -1
5x = -1
divide by 5
5x/5 = -1/5
x = 0.2
