Let the number of packages of hot dogs be D, and the number of packages of hamburgers be H. We can set up the equations:
1.60D + 5H = 23
D + H = 8 ---> which we can subtract D on both sides and get: H = 8 - D
1.6D + 40 - 5D = 23, -3.4D = -17, D = 5. The number of packages of hot dogs we buy are 5.
Now, we plug that into D + H = 8, and get 5 + H = 8. Subtracting by 5 on both sides of the equation, we get H = 3. So the number of packages of hamburgers we buy are 3.
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Hope this helps!
Answer:
(2, - 4 )
Step-by-step explanation:
Given the 2 equations
10x + 7y = - 8 → (1)
7x + 7y = - 14 → (2)
Subtract (2) from (1) term by term to eliminate y
(10x - 7x) + (7y - 7y) = - 8 - (- 14) , that is
3x = 6 ( divide both sides by 3 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (1)
10(2) + 7y = - 8
20 + 7y = - 8 ( subtract 20 from both sides )
7y = - 28 ( divide both sides by 7 )
y = - 4
solution to the system of equations is (2, - 4 )
Twice the number G is 2×G.
The difference between 2G and 10 is 24.
2G - 10 = 24
2G = 24 + 10
2G = 34
G = 34/2
G = 17
Answer:
-41 27/100
Step-by-step explanation:
11 5/8 as a improper fraction
1) Simplify Fraction
⇒ Multiply denominator with whole number
8 x 11 = 88
⇒ Answer of multiplication and add the numerator
88 + 5 = 93
93/8 is improper Fraction.
