Volume of cube =a^3
2744=a^3
by making prime factors of 2744
2*2*2*7*7*7=a^3
2^3*7*3=a^3
by taking cube root on both sides
2*7=a
14=a
so<span> the length of its edge =14</span>
Answer:
a = -2
Simplifying 5 + -2(4a + 1) + 3a = 13 Reorder the terms: 5 + -2(1 + 4a) + 3a = 13 5 + (1 * -2 + 4a * -2) + 3a = 13 5 + (-2 + -8a) + 3a = 13 Combine like terms: 5 + -2 = 3 3 + -8a + 3a = 13 Combine like terms: -8a + 3a = -5a 3 + -5a = 13 Solving 3 + -5a = 13 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5a = 13 + -3 Combine like terms: 3 + -3 = 0 0 + -5a = 13 + -3 -5a = 13 + -3 Combine like terms: 13 + -3 = 10 -5a = 10 Divide each side by '-5'. a = -2
So a diver went 25.65 ft BELOW so it's negative.
then he went 16.5 ft further down, so that's negative also.
he then rose 12.45 ft, so that's positive.
so the expression is: -25.65+-16.5+12.45, the answer is 23.7
Answer:
Venus fly trap = 12
Bonsai tree = 17
Step-by-step explanation:
Given that :
Venus fly trap = $3per plant
Bonsai tree = $5 per plant
Number of plants sold = 29
Total cost of plant sold = $121
Let venus fly trap = x ; bonsai tree =y
x + y = 29 ___ (1)
3x + 5y = 121 ____(2)
From (1) :
x = 29 - y
In (2):
3(29 - y) + 5y = 121
87 - 3y + 5y = 121
87 + 2y = 121
2y = 121 - 87
2y = 34
y = 34/2
y = 17
x = 29 - 17
x = 12
Hence,
Venus fly trap = 12
Bonsai tree = 17
When b = 1 a^3 - b^2 = 3^3 - 1^2 = 26.
