Kira has 22 cards, Randall has 44 cards, and Sean has 34 cards
<u>Solution:</u>
Given that, Randall, Kira and Sean have 100 baseball cards altogether.
Randall has twice as many as Kira and 10 more than Sean.
We have to find how many baseball cards does each person have?
Now, let the number of cards with Kira be "n", then number of cards with Randall will be "2n"
As Randall has "2n" cards, Sean will have 2n – 10
Now, total cards = 100
<em>Randall cards + Kira cards + Sean cards = 100 </em>
2n + n + 2n – 10 = 100
5n = 100 + 10
5n = 110
n = 22
So, kira has 22 cards, then, randall will have 2(22) = 44 cards and cards with sean = 44 – 10 = 34 cards.
Hence, kira has 22 cards, randall has 44 cards, and sean has 34 cards.
Answer:
First choice.
Step-by-step explanation:
You could plug in the choices to see which would make all the 3 equations true.
Let's start with (x=2,y=-6,z=1):
2x+y-z=-3
2(2)+-6-1=-3
4-6-1=-3
-2-1=-3
-3=-3 is true so the first choice satisfies the first equation.
5x-2y+2z=24
5(2)-2(-6)+2(1)=24
10+12+2=24
24=24 is true so the first choice satisfies the second equation.
3x-z=5
3(2)-1=5
6-1=5
5=5 is true so the first choice satisfies the third equation.
We don't have to go any further since we found the solution.
---------Another way.
Multiply the first equation by 2 and add equation 1 and equation 2 together.
2(2x+y-z=-3)
4x+2y-2z=-6 is the first equation multiplied by 2.
5x-2y+2z=24
----------------------Add the equations together:
9x+0+0=18
9x=18
Divide both sides by 9:
x=18/9
x=2
Using the third equation along with x=2 we can find z.
3x-z=5 with x=2:
3(2)-z=5
6-z=5
Add z on both sides:
6=5+z
Subtract 5 on both sides:
1=z
Now using the first equation along with 2x+y-z=-3 with x=2 and z=1:
2(2)+y-1=-3
4+y-1=-3
3+y=-3
Subtract 3 on both sides:
y=-6
So the solution is (x=2,y=-6,z=1).
Answer:
9
Step-by-step explanation:
x= 430/46
x=9.35 approximately 9( nearest whole number)
Answer: 4
Step-by-step explanation: 18/6 =3 so do 12/3 and it will give you 4
Answer:
y = 3x - 2
Step-by-step explanation:
y +8 = 3 (x + 2)
y + 8 = 3x + 6
y = 3x - 2
