Replace the second equation y=3x+4 into the first one:
2(3x+4)+5x=30
Now solve for x:
6x+8+5x=30
11x=30-8
11x=22
x=22/11
x=2
Finally, replace x=2 into y=3x+4
y=3*2+4
y=6+4 = 10
So the anwer is x=2, y=10
Juan’s lunch would have costed less if he paid separately. his lunch is 5.25
the bill 37.20
37.20 / 5
$7.44 each kid
7.44 - 5.25 = 2.19
$2.19 less if he paid separately
Answer:
x = 1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−2(2x−4)=4x
(−2)(2x)+(−2)(−4)=4x(Distribute)
−4x+8=4x
Step 2: Subtract 4x from both sides.
−4x+8−4x=4x−4x
−8x+8=0
Step 3: Subtract 8 from both sides.
−8x+8−8=0−8
−8x=−8
Step 4: Divide both sides by -8.
The correct answer is: [C]: " 8.64 mm² " .
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Note:
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Area of a triangle = (½)*(base length)*(height; that is, "perpendicular height");
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or: A = (½) * b * h ;
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Given: "b = 4.8 mm" ;
"h = (¾) * b = (¾)* (4.8 mm) = 3.6 mm ;
→ h = 3.6 mm ;
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→ A = (½) * b * h ;
= (½) * (4.8 mm) * (3.6 mm) ;
→ A = 8.64 mm² ; which is: Answer choice: [C] .
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