Answer:
Approximately 143 mL of 1:4 solution and 457 mL of water
Step-by-step explanation:
A 1:4 solution has a concentration of 1/(1+4) = 1/5 or 20%.
Similarly, a 1:20 solution has a concentration of 1/(1+20) = 1/21 or 4.76%.
If x is the mL of 20% solution and y is the mL of water, then:
x + y = 600
1/5 x = 1/21 (600)
Solve:
x = 5/21 (600)
x ≈ 143
y ≈ 457
You need approximately 143 mL of 1:4 solution and 457 mL of water.
Answer:
Total amount spent by Mrs. Johnson : T(x) = 25x + 15x
Step-by-step explanation:
Cost of each pencil = 25 cents
Cost of each eraser = 15 cents
x is the number of students in the class.
So, total cost of erasers purchased= 15x
and total cost of pencils purchased = 25x
Hence, Mrs, Johnson Spends total amount on eraser and pencil = 25x + 15x
or, total amount spent by Mrs. Johnson: T(x) = 25x + 15x
Answer:
"moderate negative"
Step-by-step explanation:
When two variables are correlated, a tendency, negative or positive, can be distinguished in the dispersion chart.
When the trend is positive it means that one variable increases when the other also increases.
When the trend is negative it means that one variable decreases as the other increases ..
The relationship between both variables can be strong or weak.
If the relationship is strong, the points in the scatter diagram will increasingly resemble a line (if it is a linear relationship).
If the relationship is weak, the points will be more and more scattered without any relation between them.
In this case it is observed that when the years increase the population decreases. Therefore it is a negative relationship. The distribution of the points resemble moderately to a straight line. Therefore, the correct option is "moderate negative"
B.{5,3.5,0,-0.4,-1}
C.{-1,-0.4,5,0,3.5}
D.{-1,-0.4,0,3.5,5}