Answer:
7.5 liters of a 40% sugar solution
Step-by-step explanation:
Let
x ----> liters of a 40% sugar solution
Remember that
we know that
The amount of liters of a 40% sugar solution (x) multiplied by 0.40 plus the amount of liters of a 60% sugar solution (30 L) multiplied by 0.60 must be equal to the total amount of liters mixed (x+30) multiplied by 0.56
solve for x
Given:
Width of the rectangular yard = x feet
Length of the rectangular yard = x+4 feet
Perimeter of the rectangular yard is:
Perimeter of the yard = 84 feet
To find:
The length of the rectangular yard.
Solution:
Perimeter of the yard is 84 feet.
Divide both sides by 4.
So, the width of the rectangular yard is 19 feet.
Length =
Length =
The length of the rectangular field is 23 feet.
Therefore, the correct option is B.
Put the equation into the form y = ( x − h )^2 + k
Given equation is
We apply completing the square method
we take coefficient of middle term and then divide by 2 and then square it
coefficient of middle term is 26
Divide by 2, it becomes 13
then we square it (13)^2 = 169
Add and subtract 169
We got the equation in vertex form
Answer:
1/2
Step-by-step explanation:
Based on the information observed from the attached box and whisker plot, the Fraction of dunk tanks which requires atleast 500 gallons of water. This fractional value will be the property of plot in the position marked as 500 on the plot. The point which refers to 500 gallons on the plot is the ticked point in between the box. This point represents the median value in a box and whisker plot.
The median value represents the 50th percentile value which relates to half of the distribution. This means that fraction of dunk which requires atleast 500 gallons is : (50/100) = 1/2
