A=30^2+ 2 x 30 x 26
A= 900 + 1560
A= 2460
so the surface area is 2460
v=1/3 x 30^2 x 26
v=1/3 x 900 x 26
v= 300 x 26
v=7800
so the volume is 7800
and the way the order of operations helped you is that you had to remember to always do the exponents before any of the other multiplication
Y=ax+b
Temos:
b=1
e o ponto (3,3)
Substituindo:
3a+1=3 ⇒ 3a=3-1 ⇒ 3a=2 ⇒ a=2/3
Portanto:
y=2/3x+1
Answer:
Dimension of room = 18 foot x 18 foot
Step-by-step explanation:
Let the square room is of side a foot,
The cost of re-finishing the hardwood floors is $2.25 per square foot and the cost of purchasing and installing the new baseboards $14.5 per linear foot
Total cost is $1773.
Cost for re-finishing the hardwood floors = Area x 2.25
Area = a²
Cost for re-finishing the hardwood floors = 2.25 a²
Cost of purchasing and installing the new baseboards = Perimeter x 14.5
Perimeter = 4a
Cost of purchasing and installing the new baseboards = 4a x 14.5 = 58 a
Total cost = Cost for re-finishing the hardwood floors + Cost of purchasing and installing the new baseboards
1773 = 2.25 a² + 58a
2.25 a² + 58a - 1773 = 0
a = 18 or a = -43.77(not possible)
Dimension of room = 18 foot x 18 foot
Answer:
.
Step-by-step explanation:
5x + 3y = 26 (times 6) 30x + 18y = 156
6x + 7y = 21 (times 5) 30x + 35y = 105
.
30x + 18y = 156
<u>30x + 35y = 105 </u> <u> </u>
-17y = 51
y = -3
.
Substitute the value of y to one of equations
6x + 7y = 21
6x + 7(-3) = 21
6x - 21 = 21
6x = 21 + 21
6x = 42
x = 7
