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expeople1 [14]
3 years ago
8

You are buying meat for a cookout. You need to buy 8 packages of meat. A package of hot dogs cost $1.60 and a package of hamburg

er costs $5. You spend a total of $23. Find the number of packages of each type of meat bought, using systems of equation.

Mathematics
2 answers:
Masja [62]3 years ago
5 0
This is the work. Hope it helps!!!!

Harrizon [31]3 years ago
4 0
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.
---
Hope this helps!

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Pani-rosa [81]

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Step-by-step explanation:

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Rewrite;

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-3y = -2x + 24

Divide both sides by -3

y = ⅔x - 8

Thus, the slope of 2x - 3y = 24 is ⅔.

Therefore the line that is parallel to 2x - 3y = 24, will have a slope (m) of ⅔.

Using point-slope form, we can generate an equation that passes through (-3, -7) and is parallel to 2x - 3y = 24.

Thus, substitute (a, b) = (-3, -7) and m = ⅔ into y - b = m(x - a)

Therefore:

y - (-7) = ⅔(x - (-3))

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Rewrite in slope-intercept form.

Multiply both sides by 3

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7 0
3 years ago
seven out of every 8 students surveyed owns a bike. The difference between the number of students who own a bike and those who d
guajiro [1.7K]
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let's simplify:

\frac{3}{4} x=72

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5 0
2 years ago
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