Each piece will be the same length. We can convert 5 1/2 into an improper fraction. 5 1/2 = 11 / 2 Divide 66 by this improper fraction. 66 / (11 / 2) When we divide by a fraction, we multiply by the reciprocal of that fraction. 66 * (2 / 11) = 2 * 6 = 12 12 pieces can be cut.
Answer:
<em>Henson: 3x + y = 163</em>
<em>Garcia: 2x + 3y = 174</em>
<em>adult ticket price: $45</em>
<em>child ticket price: $28</em>
Step-by-step explanation:
Henson Family:
3 adults + 1 child; total $163
3x + y = 163
Garcia Family:
2 adults + 3 children; total $174
2x + 3y = 174
Now we solve the system of equations.
Solve the first equation (Henson Family) for y.
y = 163 - 3x
Substitute 163 - 3x for y in the second equation (Garcia Family).
2x + 3<em>y</em> = 174
2x + 3(<em>163 - 3x</em>) = 174
2x + 489 - 9x = 174
-7x + 489 = 174
-7x = -315
x = 45
Now substitute 45 for x in the first original equation and solve for y.
3x + y = 163
3(45) + y = 163
135 + y = 163
y = 28
adult ticket price: $45
child ticket price: $28
Answer:
14.25 units
Step-by-step explanation:
Area of a square= 
Solving the equation using quadratic equation then as attached
x=14.25 units
To prove
x-3=14.25-3= 11.25 units
area=11.25*11.25=126.5625 sq units
Answer:
4296 kg
Step-by-step explanation:
40/100 = x/7160
716 times 6 is 4296
