Answer:
Below
Step-by-step explanation:
51)
Let n be the first even number.
So the four consecutive even numbers are:
● n
● n+2
● n+4
●n+6
The smallest minus twice the larger is 4
● n-2(n+6)= 4
●n-2n-12 =4
● -n -12 =4
● -12 = 4+n
● -12-4 = n
● -16 = n
so the first even number is -16 and the largest one is -10
● -16+6= -10
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Let m be the first integer
So the five consecutive integers are:
● m
● m+1
● m+2
● m+3
● m+4
The sum of this terms is 5.5 times the middle(m+2)
● m+m+1+m+2+m+3+m+4 = 5.5(m+2)
● 5m + 10 = 5.5 m +11
● -0.5 m = 1
●-m = 2
● m= -2
So the integers are;
● -2
● -1 (-2+1)
● 0
● 1
● 2
Answer:
y < 6 + 16x
Or
y < 16x + 6
Step-by-step explanation:
The inequality 16x - y > -6 cam be rewritten in the slope-intercept form, y > mx + b as follows:
16x - y - 16x > -6 - 16x (subtraction property)
-y > -6 - 16x
Divide both sides by -1 (the inequality sign will change from > to < because we are dividing by a negative number)
-y/-1 < -6/-1 - 16/-1
y < 6 + 16x
Or
y < 16x + 6
100 / 5 = 20
20 x 4 = 80
Answer: 80%
Answer:
The current is approximately 8.571 Amps
Step-by-step explanation:
You are supposed to use Ohm's Law for this problem.
Recall that Ohm's Law gives you the relationship between voltage applied (V), resistance (R) and current (I):
If the units of resistance are ohms, and the voltage is in volts, the current will be given in Amps (amperes). Then solving for the current (I) in the above equation: