Answer:
19b-4
Step-by-step explanation:
7b+3(4b-2)+6÷3
Bracket comes first so we distribute 3 over the terms in the bracket
= 7b + 12b -6 +6 ÷ 3
First we solve division
= 7b + 12b -6 +6 ÷ 3
= 7b + 12b -6 +2
= (7b+12b)+(-6+2)
= 19b -4
This can't be simplified further as it can't be solved anymore
Let there be x quarts of the 20% salt solution, and (25 - x) quarts of the 80% salt solution.
Then the total amount of salt in the 20% portion would be 0.2x, while that from the 80% portion would be (0.8)(25 - x). This would have to total up to (0.44)(25) in the final solution, so the equation is:
0.2x + 0.8(25 - x) = (0.44)(25)
-0.6x + 20 = 11
x = 15 quarts of the 20% salt solution
25 - x = 10 quarts of the 80% salt solution
Y=0.5x-0.5
( u find the slope using rise/run then after finding the slope u use the equation and a point on the graph to find the y-intercept
The equation is:
[e^x] [e^(2x)] = 4
1) Applying property of multiplication of powers wiith same base =>
e ^ (x + 2x) = 4
=> e ^ (3x) = 4
2) Applying logarigth properties
3x = ln(4)
=> x = ln(4) / 3 ≈ 1.38629 / 3 ≈ 0.4621
Answer: x = ln(4) / 3 ≈ 0.4621
Answer:
The surface area of the figure = 962 ft²
Step-by-step explanation:
The rectangle dimensions and its area given below
Dimensions Number Area
12 x 7 2 12 x 7 x 2 = 168
16 x 7 1 16 x 7 = 112
12 x (16 + 5) 1 12 x 21 = 252
16 x 12 1 16 x 12 = 192
16 x 13 1 16 x 13 = 208
Triangle dimensions
Dimensions Number Area
b = 12 & h = 5 2 bh/2 = (12*5)/2 = 30
To find total area
Total area = 168 + 112 + 252 + 192 + 208 + 30 = 962 ft²
