Answer:
1 Hot dog = $2.50; 1 Nacho = $3.00
Step-by-step explanation:
Let x be the cost of 1 hotdog
let y be the cost of 1 nacho
6
x
+
3
y
=
24 (Equation 1)
8
x
+
1
y
=
23 (Equation 2)
Divide equation 1 by 3
2
x
+
y
=
8 (Equation 3)
Subtract Equation 3 from Equation 2
8
x
−
2
x
+y
−
y
=
23
−
8
Simplifying
6
x
=
15
1 Hot dog = $2.50
Substitute the value calculated above into Equation 1
15
+
3
y
=
24
3
y
=
9
1 Nacho = $3.00
Answer:
The 2 pound bag of gummy bears
Step-by-step explanation:
You do 1.5/4.35 which = 2.9 the 2.9 is $2.90 per pound
Then, you do 5.3/2 which = 2.6 this 2.6 is $2.60 per pound
$2.60 < $2.90 there for the 2 pound bag of gummy bears is the better deal
Answer:
x=0 and y=2
Step-by-step explanation:
We have been given system of equations:
2x+5y=10 (1)
And 2x+3y=6 (2)
Subtract equation (2) from(1) we get:
2y=4
y=2
Now, substitute y=2 in equation(2) we get:
2x+3(2)=6
2x+6=6
2x=0
x=0
Hence, x=0 and y=2
Answer:
x = 17, y = 44
Step-by-step explanation:
<em>Answer:</em>
n²+3
<em>Explanation:</em>
The differences between the terms are not the same, so this is not "linear". Knowing that the sequence may have started with a 1, you can try subtracting the first number with a number to get 1, and use that number to subtract the rest.
4 - 3 = 1
7 - 3 = 4
12 - 3 = 9
19 - 3 = 16
28 - 3 = 25
In this case, subtracting 3 to all the numbers gave us perfect squares! So this means the nth term has to do with squaring the number and adding three afterward! This can be checked.
√1 = 1
√4 = 2
√9 = 3
√16 = 4
√25 = 5
As we found the values of these terms by subtracting three first and then finding its square root, the nth term will be the opposite; squaring and then adding three! Again, this can be checked!
1² + 3 = 4
2² + 3 = 7
3² + 3 = 12
4² + 3 = 19
5² + 3 = 28
Hope this helps !! :D
