Answer:
x/2-9=24
Explanation:
Nine less:
-9
Half a number:
x/2
So nine less than half a number:
x/2-9
Is 24:
=24
So x/2-9=24
To solve for the number:
Add 9 to both sides:
x/2-9+9=24+9
x/2=33
Multiply both sides by 2:
2(x/2)=33(2)
x=66
Answer:
The formula of circumference in a circle is 3.14 times diameter.
Step-by-step explanation:
3.14×20=62.8
The circumference is 62.8
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.
Answer:
Adults =1500 and student= 2500
Step-by-step explanation:
Step one:
GIven data
let Adults be x and student be y in numbers
so
5x+3y=15000------------1
x+y=4000---------------------2
from 1
x=4000-y, put this in 2, we have
5(4000-y)+3y=15000
20000-5y+3y=15000
-2y=15000-20000
-2y= -5000
2y=5000
divide both sides by 2
y= 2500
put y= 2500 in 2
x+2500= 4000
x= 4000-2500
x=1500
Step-by-step explanation:
a=2
b=-7
c=-15
-(-7)+-sq root (-7)²-4(2)(-15) / 2(2)
7 +- sq root 169 / 4
7+- 13 / 4
7+13 / 4, 7-13 / 4
x=5 x=-3/2
