Answer:
x=3
Step-by-step explanation:
Because DE // AC
so DB/BE = DA/EC
x+5/4=2x/3
4(2x)=3(x+5)
8x=3x+15
5x=15
x=3
Answer:
10017
Step-by-step explanation:
10^(4)-\sqrt(121)+3^(3)+4^(0)
So, 3^3= 27
4^0=1
10^4=10,000
-square 121= -11
So now you got:
10,000-11+27+1
=10017
Answer: the speed of the current is 8 mph.
Step-by-step explanation:
Let represent the speed of the current
boat can travel 23mph in still water. This means that the total speed with which the boat travelled is (23 + x) mph.
Time = distance/speed
If it travels 248 miles with the current, it means that the time it took the boat to travel with the current is
248/(23 + x)
in the same length of time it travels 120 miles against the current. This means that the total speed with which the boat travelled is (23 - x) mph. The time it took the boat to travel against the current is
120/(23 - x)
Since the time is the same, it means that
248/(23 + x) = 120/(23 - x)
Cross multiplying, it becomes
248(23 - x) = 120(23 + x)
5704 - 248x = 2760 + 120x
120x + 248x = 5704 - 2760
368x = 2944
x = 2944/368
x = 8 mph
Answer:
$28.05
Step-by-step explanation:
Since the sale price is 18% off, this means we pay 100-18 = 82% of the original price. 82% = 82/100 = 0.82; using x as the original price, we can set up the equation
0.82x = 23
Divide both sides by 0.82:
0.82x/0.82 = 23/0.82
x = 28.05
2x² - 6x
hope this helps you
