The number of black tokens in the bag. 8 green tokens; 4 for every 1 is 2 tokens
<h3>How to find the number of black tokens?</h3>
The number of green tokens in the bag and the ratio of green tokens to black tokens
We learn from the question that there are 8 green tokens in the bag, along with black tokens, in a container that also includes other tokens.
The ratio of green tokens to black tokens, according to what is further disclosed, is four to one.
The number of black tokens in the bag will be: since the black tokens are 4 and the green tokens are 4,
= 8/4
+ 2 tokens
The number of black tokens in the bag. 8 green tokens; 4 for every 1 is 2 tokens
To learn more about ratio refer to:
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Answer:
x² – x – 12 = (x – 4)(x + 3)
Step-by-step explanation:
Identify two numbers that add to -1 and multiply to -12, let's call them p and q.
So ax² + bx + c = (x + p)(x + q)
pq = c
p + q = b.
It is easier to find these numbers by finding factors of -12.
This can be done by splitting the number up until all the numbers are prime.
-12 → 6 × -2 or -6 × 2 → -(3 × 2 × 2)
There can only be two numbers so the only options we have are 6 and -2, -6 and 2, 3, and -4, or -3 and 4.
We can eliminate them by adding them up.
6 + -2 = 4 ≠ -1 so that can't be it.
-6 + 2 = -4 ≠ -1 so that can't be it either.
-3 + 4 = 1 ≠ -1
therefore p and q are 3 and -4 because 3 + -4 = -1.
so x² – x – 12 = (x – 4)(x + 3)
p = -4, and q = 3.
(x – 4)(x + 3) = x(x + 3) – 4(x + 3) = x² + 3x – 4x + 12 = x² – x – 12
Answer:
2 1/2 hours
Step-by-step explanation:
1. multiply 12 by 2 to get 24
2. divide 12 by 2 to get 6 mph (miles per hour)
3. Add the 6 and 24
Answer:
x ≈ 2.91644500708
Step-by-step explanation:
The equation can be simplified to ...
2(4^x) +4(4^x) = 342
6(4^x) = 342
4^x = 57
Taking logarithms, we get ...
x = log₄(57) = log(57)/log(4)
x ≈ 2.91644500708
Answer: X=-3
Step-by-step explanation:
2(5x+3)-6x=7x+30+5x
10x+6-6x=7x+30+5x
4x-12x=30-6
-8x=24
-x=3
x=-3
