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16.03.2020 •
Mathematics
8 2/3+6 2/5
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Ответ:
15 1/15
Step-by-step explanation:Rewriting our equation with parts separated
=8+23+6+25
Solving the whole number parts
8+6=14
Solving the fraction parts
23+25=?
Find the LCD of 2/3 and 2/5 and rewrite to solve with the equivalent fractions.
LCD = 15
1015+615=1615
Simplifying the fraction part, 16/15,
1615=1115
Combining the whole and fraction parts
14+1+115=15115
Solution by FormulasFirst:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
263+325
Applying the fractions formula for addition,
=(26×5)+(32×3)3×5
=130+9615
=22615
Simplifying 226/15, the answer is
=15 1/15
Ответ:
A) both functions are linear
B) f(x) = 7446.4x + 178713.6 and f(x) = 11000x + 179000
C) House 2 will value $106894.4 more than house 1.
Step-by-step explanation:
A) Value Increase from year 1 to year 2:
House 1: 193,606.40 - 186,160 = 7446.4
House 2: 201,000 - 190,000 = 11000
Value Increase from year 2 to year 3:
House 1: 201,350.66 - 193,606.40 = 7744.26
House 2: 212,000 - 201,000 = 11000
This means that a constant increament in x variable gives a constant increament in both houses vales. Then, both functions are linear.
B) The slope is the same as the value increment from one year to the next one.
slope (m) of House 1: 7446.4
slope (m) of House 2: 11000
General formula of a line:
f(x) = mx+b
Replacing with a known point:
House 1
186,160 = 7446.4(1) + b
b = 186,160 - 7446.4 = 178713.6
equation: f(x) = 7446.4x + 178713.6
House 2
190,000 = 11000(1) + b
b = 190,000 - 11000 = 179000
equation: f(x) = 11000x + 179000
C) Replacing x = 30 into each equaiton:
Value of House 1 after 30 years
f(x) = 7446.4(30) + 178713.6 = 402105.6
Value of House 2 after 30 years
f(30) = 11000(30) + 179000 = 509000
Then, house 2 will value 509000 - 402105.6 = $106894.4 more than house 1.