Answer: 1000 hot dogs and and 1600 sodas were sold.
Step-by-step explanation:
Let x be the number of hot dogs and y be the number of sodas.
Given : The concession stand at an ice hockey rink had receipts of $6200 from selling a total of 2600 sodas and hot dogs.
Each soda sold for $2 and each hot dog sold for $3 .
Then, we have the following system of two linear equations:-
Multiplying 2 on both sides of (1), we get
Now, Eliminate equation (3) from equation (2), we get
Put x=1000 in (1), we get
Hence, 1000 hot dogs and and 1600 sodas were sold.
Answer:
First equation x=2, Y=9, Second Eq, x=2, y=1
Step-by-step explanation:
X+Y=11
2X-Y=-5 by substitution Y=11-X
So, 2x-(11-x)=-5, 2x-11+x=-5, 3x=6, x=2. Thus, Y=11-2=9
2x+y=5
3x-2y=4
so, y=5-2x
Thus, 3x-2(5-2x)=4
3x-10+4x=4, 7x=14, x=2, Thus, Y=5-2(2)= 1
Answer:
483.75 is needed
Step-by-step explanation:
161.25 * 4 = 645.00
645.00 - 161.25 =
Answer:
Step-by-step explanation:
The given polynomial function is
According to the Rational Roots Theorem, the ratio of all factors of the constant term expressed over the factors of the leading coefficient.
The potential rational roots are
Answer:
Y=4 X= -6 or (-6,4)
Step-by-step explanation:
Okay so
3x+10y=22
-3x-8y=-14
- basically, it's like one big equation. First, subtract 3x from -3x which cancels out and gives us 0
- 10y minus 8y gives us 2y.
- 22 minus 14 gives us 8
3x+10y=22
<u>-3x-8y=-14</u>
0+2y=8
Now that we have this, we can solve for y. in order to do this, we have to divide both sides by 2.
From here we know that y=4 because the 2s cancel out leaving y and 8 divided by 2 is 4.
y= 4
Now we can fill in. You can pick any equation for this but I'm going to chose the first one.
3x+10y=22
we can fill in 4 for y
3x+10(4)=22
3x+40=22
Next we are going to subtract 40 on both sides.
3x+40=22
-40 -40
3x= -18
Next, we're going to divide -18 by 3.
The 3s cancel out leaving us x. -18 divided by 3 is -6.
x= -6
Hope this helped!! :)
