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Answer:
Here, x represents the number of 20-pound boxes and y represents the number of 30 pound boxes.
As per the given condition: Vince loads 10 boxes into his truck.Some of the boxes weigh 20 pounds, and some weigh 30 pounds and the total weight of the boxes is 280 pounds.
⇒ x+ y =10 .....[1]
and
20x+30y = 280 .....[2]
Multiply equation [1] by 20 we get;
[tex]20(x+y) = 20\cdot 10[/tex]
Using distributive property: [tex]a\cdot(b+c) = a\cdot b + a\cdot c[/tex]
20x + 20y = 200 ....[3]
Subtract equation [3] from [2] we get;
[tex]20x+30y-20x-20y = 280-200[/tex]
Combine like terms;
10y = 80
Divide both sides by 10 we get;
y = 8
Substitute this y value in equation [1] we get;
x + 8 = 10
Subtract 8 from both sides we get;
x + 8 -8 =10-8
Simplify:
x = 2
Therefore, the pairs of equation are: x+ y =10 and 20x+30y = 280
Vince has the number of 20-pound boxes is, 2 and the number of 30 pound boxes is, 8
Answer:
No, Jude’s graph is incorrect. The inequality symbol is “less than,” so -9 is not included. He should have used an open circle on -9.Step-by-step explanation:
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