To solve this problem, we must set up a system of equations. In this case, let's let Maggie's age be represented by the variable m and her brother's age be represented by the variable b. We are told that the sum of their ages is 24, which gives us our first equation: m + b = 24. We can construct our next equation from the first sentence of given information: b = 2m - 3. This makes our system of equations:
m + b = 24
b = 2m - 3
To solve, we are going to substitute the value for b in terms of m given by the second equation into the first equation for the variable b.
m + b = 24
m + 2m - 3 = 24
To simplify, we must first combine the variable terms on the left side of the equation using addition.
3m - 3 = 24
Next, we should add 3 to both sides of the equation to get the variable term alone on the left side of the equation.
3m = 27
Finally, we should divide both sides by 3 in order to get the variable m alone.
m = 9
Therefore, Maggie is 9 years old (using the first equation and substituting in this value you can find that her brother is 15 years old).
Hope this helps!
Answer:
10 minutes
Step-by-step explanation:
Since you can do 6 flyers each minute, the rate would go at 6x, with x being minutes. You initially did 80, so the equation for you would be y=6x+80.
Your friend's equation would be y=4x+100, because he initially had 100 done and is now getting 4 done per minute.
If you put the 2 equations in your calculator, the intersection will happen at x=10, showing that you and your friend will have an equal number of flyers at 10 minutes.
Let's assume
the price of each train ticket is x
we are given
total number of family members =5
so, total cost of ticket = total number of family members*the price of each ticket
so, total cost of ticket =5*x
so, total cost of ticket =5x
now, we have
each family member buys a boxed lunch for $6.50
so, total cost of lunch box = total number of family members*price of each lunch box
so, total cost of lunch box = 5*6.50
total cost of trip = total cost of ticket+total cost of lunch box
we are given
total cost of trip is $248.50
now, we can plug values
and we get
now, we can solve for x
so,
the price of each train ticket is $43.2..........Answer
Mia tossed a penny,a nickel and a dime all possible outcomes of H is the answer C.
Step-by-step explanation:
- The two possible outcomes for penny,nickel and dime is H & T.
- H is for head T is for tail.
- Let A {HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}
- Tossing a fair coin will give the above result.
- S is the called the n number of outcomes that are available for a set.
- Total outcome of Sample space 8.
- The three diagram is like a game theory it exploits different outcome.
Answer:
6.25liters
Step-by-step explanation:
5/8 × 10
Lcm is 8
5×10/8
50/8
6.25
So 5/8 of 10liters is
6.25liters
