Answer:
Q9. ?=53° (corr angles, u//v)
Q10. ?=58° (alt angles, u//v)
<h3>
Answer: (1,3)</h3>
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Explanation:
Note that the two shaded regions overlap to form the darker shaded region. The point (1,1) is only in the green region, but not in the blue region. It needs to be in both regions for it to be a solution to the system. In contrast, the point (1,3) is on the boundary of the blue region and in the green region as well. It's a solution point because of this.
Points on the boundary are included because of the "or equal to" as part of the inequality sign. Hence the solid boundary lines rather than dashed boundary lines.
The solution (1,3) means that x = 1 and y = 3 pair up together. It says that Cody can buy x = 1 hotdog and y = 3 packs of peanuts so that he has at least 4 snacks, and he stays within the $7 budget.
Going back to (x,y) = (1,1) for a moment, this isn't a solution because x+y = 1+1 = 2 is not 4 or larger. In other words, he only buys 2 snacks here instead of 4 or more.
Answer:
49 litres of petrol are needed to travel from town X to town Y and back.
Step-by-step explanation:
Well, first off, the variable X and Y, as well as the distance given (124 km) aren't important pieces of information in this equation. They're only there to throw you off and confuse you.
25L of <em>p</em> (petrol) to make the entire journey. After the engine has been tuned, it requires 2% less <em>p</em> than before it was tuned.
2%/100 = 0.02
0.02 * 25L = 0.5L
25L - 0.5L = 24.5L
Now, don't forget, at the end of the word problem we're asked how many litres of <em>p</em> would be required to travel from <em>x</em> to <em>y</em> <em><u>AND BACK</u></em>. So it's not only 24.5L, it's double that (24.5 * 2 = 49L)
Good luck!!
Answer:
x > 3
Step-by-step explanation:
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Answer:
<em>3n; 2 nickels and 6 quarters</em>
Step-by-step explanation:
"Peggy had three times as many quarters as nickels."
Whatever number of nickels she has, the number of quarters is 3 times as many.
Since she has n nickels, she has 3 times n quarters.
The number of quarters is 3n.
A nickel is worth $0.05, so n nickels are worth 0.05n.
A quarter is worth $0.25, so 3n quarters are worth 0.25(3n).
0.05n + 0.25(3n) = 1.60
0.05n + 0.75n = 1.6
0.8n = 1.6
n = 2
She has 2 nickels.
3n = 3(2) = 6
She has 6 quarters.
