Answer:
1,-1,3,-3
Step-by-step explanation:
your P is the first number or the number with the highest exponent, your Q is the last number or the number with no variables. So you make a list of what multiplies to your P's and what multiplies to your Q's and you divide your P list by Q. So 3 is made by -1,1,-3,3 and -1 is made by -1,1. So dividing that you get your list of -3,-1,1,3
Answer:
N(h) = 2h + 6
Step-by-step explanation:
A model of the number of people that Denis can invite to his party:
N(x) = x/25.............(1)
Where x = amount of money saved
Amount of money saved can be modeled by the equation:
M(h) = 50h + 150...........(2)
In the above model, h = number of overtime hours
M(h) = amount of money saved = x
Therefore equation (1) can be re - written as:
N(x) = M(h)/25.................................(3)
Substituting equation (2) into equation (3)
Find an explicit expression that models the number of people that Denis can invite to his party if he worked h overtime hours this week can be expressed as:
N(h) = 2h + 6
Answer:
x + y = 104
0.05x + 0.25y = 22
x = 20 niquels and y = 84 quarters
Step-by-step explanation:
Each niquel is $0.05, and each quarter is $0.25
So if we have x niquels and y quarters, we can set this system of equations:
x + y = 104 (eq1)
0.05x + 0.25y = 22 (eq2)
If we multiply the second equation by 4, and then subtract it from the first equation, we have:
(eq2)*4: 0.2x + y = 88
(eq1) - 4*(eq2): 0.8x = 16
x = 20
Now finding y with the first equation:
20 + y = 104
y = 84
Answer:
On 5 liters of petroleum he can go 100km.
He needs 37.5 liters of petroleum to go 750km.
Step-by-step explanation:
He goes 20km on 1 liter. Now we must find how far he can go on 5 liters.
1 * 5 = 5
20 * 5 = 100
The reason we multiplied was because we had to multiply 1 by 5 to get the number of liters of petroleum and what you to one side you must do to the other.
To find how many liters are needed to go 750km you must divide:
750/20 = 37.5
He needs 37.5 liters of petroleum to travel 750km.
Hope this helps! :)
Okay, so it says that there are 24 calculators and 72 pencils, and you need to make IDENTICAL packages with both items in it. You have 24 calculators so you have to have 24 packages, and if you take the amount of pencils (72) and divide that by the number of packages (24) you get 3, meaning that each package would get 3 pencils. You would then have 24 idenitcal packages
