Answer:
8: 50 hours
9: 6 inches
10: 43 cm
Step-by-step explanation:
I couldn't see the entirety of 7 because some of the page was folded, so I didn't answer it.
8: Make them equations of y=12x+450 and y=21x. Since both equal y, set them equal to each other so 21x=12x+450. Subtract 12x from both sides to get 9x=450. Divide by 9 on both sides to get 50.
9: The length equals 3w-6 and the width is just w. The perimeter would equal 2w+2(3w-6) which when factored is 2w+6w-12. Simplify to 8w-12. If P=8w-12 and we know P=36, then set the two equations equal to each other so that 8w-12=36. Add 12 to both sides to get 8w=48. Then divide both sides by 8 to get a final answer of w=6.
10. P=x+5x+8+4x-7. Simplify that to P=10x+1. We know that P=71, so set the two equations equal to each other to get 71=10x+1. Subtract 1 from both sides to get 70=10x. Divide both sides by 10 and x=7. Now substitute x in each side of the triangle and we get 7, (4*7-7), and (5*7+8). Solve all of those to get sides of 7, 21, and 43. The question asks what is the length of the longest side, so the answer would be 43.
Step-by-step explanation:
In a straight line theres 180 degrees and where x is you can tell its an X lines the opposites will be the same.
First you need to work out the triangles 180-122=58 and a triangle is 180 degrees so
58+40=98 180-98=82°
now working out the other triangle.
180-82=98, 43+98=141
180-141=39
and because the opposites will end up the same x=39°
Answer:
Step-by-step explanation:
-3x + 4y = 12
12(1/4x - 1/3y = 1)
-3x + 4y = 12
3x - 4y = 12
there is no solution
<span>Reorder the terms:
-2.3(-1.2 + x) = -9.66
(-1.2 * -2.3 + x * -2.3) = -9.66
(2.76 + -2.3x) = -9.66
Solving
2.76 + -2.3x = -9.66
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2.76' to each side of the equation.
2.76 + -2.76 + -2.3x = -9.66 + -2.76
Combine like terms: 2.76 + -2.76 = 0.00
0.00 + -2.3x = -9.66 + -2.76
-2.3x = -9.66 + -2.76
Combine like terms: -9.66 + -2.76 = -12.42
-2.3x = -12.42
Divide each side by '-2.3'.
x = 5.4
Simplifying
x = 5.4</span>
