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:
w=6
Step-by-step explanation:
P=2(L)+2(w)
48= 2(18)+2w
48=36+2w
12=2w
w=6
checking;
48= 2(18)+2(6)
48= 36+12
48= 48
Answer:
30 oranges
Step-by-step explanation:
Total number of apartment in julissa floor = 6
Number of oranges given to each apartment = 5
how many oranges did Julissa give out in all?
Total number of oranges julissa's gave out = Total number of apartment in julissa floor × Number of oranges given to each apartment
= 6 × 5
= 30 oranges
Therefore, total number of oranges julissa gave out = 30
Answer:
A. {e, h}
Step-by-step explanation:
In a Venn diagram, the set of elements in any intersection can simply be visualised. The elements contained in the region where the circles representing different sets overlap, are the set of elements of intersection.
In the Venn diagram given, the set of elements contained in the region where the circles representing A and B overlap are {e, h}.
{e, h} is common to both set A and set B.
