Answer:
B) 4 tablespoons of salt
Step-by-step explanation:
Here is the correct question: Scott used 1/3 tablespoons of salt to make 1/4 liters of beans. If Scott's recipe is for 1 liter of beans, how much salt will he need to make triple the recipe?
Given is the ratio of salt and beans to make recipe for 1 liter of beans.
Ratio given for 1 liters of beans;
.
Now, simplifying the ratio

∴ Ratio for salt and bean in a recipe for 1 liter of beans is
.
Next, finding the proportion of salt to make triple the recipe.
Triple the recipe means 3 times of 1 liter of beans, which is 3 liters of beans.
∴ The proportion of salt in 3 liter beans= 
Hence, 4 tablespoon of salt is required to make 3 liters of beans or triple the recipe.
Answer:
The estimated age of the skull is 39118 years.
Step-by-step explanation:
The amount of the substance after t years is given by:

In which A(0) is the initial amount, and r is the decay rate.
The half-life of carbon-14 is about 5600 years.
This means that
. We use this to find r, or 1 - r, to replace in the equation. So



![\sqrt[5600]{(1-r)^{5600}} = \sqrt[5600]{0.5}](https://tex.z-dn.net/?f=%5Csqrt%5B5600%5D%7B%281-r%29%5E%7B5600%7D%7D%20%3D%20%5Csqrt%5B5600%5D%7B0.5%7D)


So

Only 2% of the original amount of carbon-14 remains in the burnt wood of the campfire.
This is t for which
. So







The estimated age of the skull is 39118 years.
Find 2 "easy" points on the graph, and identify their coordinates. One such point would be (-4,1) and another would be (4,2).
run = 8 (from -4 to +4)
rise = 2 (from 0 to 2)
rise 2
slope = ------- = -------- = 1/4 y-intercept is (0,1)
run 8
equation of this line is thus y = mx + b, or y = (1/4)x + 1 (answer)
His mean score for the first 4 games will be 18 points.
Explanation
In the first 3 games, the mean of the scores is 15 points . Mean is the simple average of some numbers.
So, the total score in first 3 games =
points
Now, in the 4th game, he scored 27 points. So, the total score in the first 4 games =
points
Thus, the average of scores in first 4 games =
points
So, his mean score for the first 4 games will be 18 points.
#1 second line: x-y=-3
x=y-3(isolating x to prepare for substitution)(what x is equivalent to)
get back to the first line
x+y=5
(y-3)+y=5(substituting the value of x of the first line with the value of x at the second line)(It is a process to find the intersection between the two lines(line#1 and line#2 are two linear functions)
2y-3=5(simplify)
2y=8(simplify)
y=4(simplify)
line#1 x+y=5
x+(4)=5(plug the value of y back into either line#1 or line#2 will work)(plugging in the y value of the point of intersection to solve for the x value of the point of intersection)
x=1(solve)
the two linear lines intersect at the point(1(x coordinate), 4(y coordinate))(1,4)
#2 (line#1) y=3x-1
(line#2) 2x+y=14
2x+(3x-1)=14
5x-1=14
5x=15
x=3
y=3(3)-1
y=9-1
y=8
(3,8)
#3 line#1 2x+3y=8
line#2 6x+9y=24
2x=8-3y
x=(8-3y)/2
6((8-3y)/2)+9y=24
24-9y+9y=24
24=24
(those two lines are on top of yeach other/the same line)
any point on the line
#4 line#1 3x-4y=12
line#2 y=3/4x-4
3x-4(3/4x-4)=12
3x-3x+16=12
16=12
parallel lines: lines with same slope and different y-intercept
No solution/they never intercept each other
I hope it is helpful, if you have any question, I will answer ASAP