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Answer:
117
Step-by-step explanation:
For every 3 zinc there would be 19 copper, and for every 19 copper there would be 3 zinc. There are 741 copper, so there would be 741 * 3 / 19 zinc, which turns out to be 117 zinc.
Answer:
B-6
Step-by-step explanation:
If (B) represents Bob's time, six minutes less than Bob's time is B-6=T where (T) represents the time six minutes less than Bob's time.
-9x=16-y equation 1
12x=-5-y equation 2
x=-5-y÷12 from equation 2
substitute this x in equation 2
so
-9(-5-y÷12)=16-y
15+3y=64-4y
7y=49
y=7
and then substitute this value of y in equation (x=-5-y÷12)
so x= -5-7÷12
x=-1
so y=7 and x=-1
X² + 4x = 96
Subtract 96 from both sides to get the equation equal to zero:
x² + 4x - 96 = 0
We can solve for x either by factoring or by using the Quadratic Formula. Let's attempt to factor first. To factor, find two numbers whose sum is 4 and whose product is -96. Since 96 is negative, the pair will be one positive and one negative (a positive times a negative is always negative). Let's start listing addends of 4 and calculating their product.
12 + (-8) = 4; 12 × (-8) = -96
The pair is 12 and -8. The factored polynomial is (x + 12)(x - 8). To find x, find the zeros.
x + 12 = 0
x = -12
x - 8 = 0
x = 8
Answer:
x = -12 and x = 8
