Answer:
2.6 m
Step-by-step explanation:
The surface area for rectangular prisms is: S = 2lw + 2lh + 2wh, where l = length, w = width, h = height.
Substitute the known values into this equation: h = 5, l = 10, w = x, S = 178
178 = 2(10x) + 2(5 x 10) + 2 (5x)
Simplify!
178 = 20x + 100 + 10x
Subtract 100 from both sides and combine x's
78 = 30x
divide both sides by 30
x = 2.6 m
answer check: 2(10 x 2.6) + 2(5 x 10) + 2 (5 x 2.6) = 178 (true!)
Answer:
(-2, 3)
Step-by-step explanation:
4x + 5y = 7
3x - 2y = -12
Let's solve this by elimination. We want to eliminate one variable at a time. This means we need to multiply the equations to create a common multiple to cancel out a variable.
Let's work with y.
5y and -2y: For these values to cancel out, we need to multiply each term to create a common multiple.
2(4x + 5y = 7)
5(3x - 2y = -12)
Multiply.
8x + 10y = 14
15x - 10y = -60
Eliminate.
23x = -46
Divide both sides by 23.
x = -2
Now that we know x, let's plug it back into one of equations to find y.
4x + 5y = 7
4(-2) + 5y = 7
Multiply.
-8 + 5y = 7
Add.
5y = 15
Divide.
y = 3
Now we know x and y; let's plug both back into the equation we have not checked yet.
3x - 2y = -12
3(-2) - 2(3) = -12
Multiply.
-6 - 6 = -12
Subtract.
-12 = -12
Your solution is correct.
(-2, 3)
Hope this helps!
Assuming that this is a compounding interest rate, we use the future value formula which is expressed as: F = P ( 1 + i )^n where F is the future value, P is the present value, i is the interest rate and n is the compounding periods. We do as follows:
F = P ( 1 + i )^n
8000 = 4000 ( 1 + 0.0553)^n
n = 12.88 yrs or about 13 years
Therefore, option D is the answer.
Answer:
69 420
Step-by-step explanation:
Hey, im not really sure but i think it is that 1. x=96 y=11 2. x=16 y=15 3.x=81 y=18
Then you just substitute the numbers into the letters. For example,
11-96(2)= -181
15-16(2)= -17
18-81(2)= -144
