Answer:
Volume required = 100mL
Step-by-step explanation:
Let the volume of 30% solution required be = V mL
Amount of solute in V mL of solution = 30% of V = 0.3V...............(i)
This amount is also present in 150 mL of 20% solution
For 150 mL of 20% solution we have amount of solute = 150 mL X 20%
= 30..............(ii)
Thus equating i and ii we get
0.3V = 30
Thus V =100 mL
Answer:
<em>Cathy was born in 1980 and she was 18 years old in 1998</em>
Step-by-step explanation:
<u>Equations</u>
This is a special type of equations where all the unknowns must be integers and limited to a range [0,9] because they are the digits of a number.
Let's say Cathy was born in the year x formed by the ordered digits abcd. A number expressed by its digits can be calculated as
In 1998, Cathy's age was
And it must be equal to the sum of the four digits
Rearranging
We are sure a=1, b=9 because Cathy's age is limited to having been born in the same century and millennium. Thus
Operating
If now we try some values for c we notice there is only one possible valid combination, since c and d must be integers in the range [0,9]
c=8, d=0
Thus, Cathy was born in 1980 and she was 18 years old in 1998. Note that 1+9+8+0=18
Answer:
x-intercept: (-7,0)
y-intercept: (0,2)
Step-by-step explanation:
The x-intercept is (-7,0) because on the graph we can see that the line lies on the x-axis on the point (-7,0).
The y-intercept is (0,2) because we can see that the line pass through the y-axis on the (0,2) point.
Hope this helps you :)
Answer:
Area = 33 inches squared
Step-by-step explanation:
The formula for the area of a kite is:
Area = ½ × (d)1 × (d)2
To find the first diagonal (d1):
d1 = 7 in + 4 in = 11 in
To find the second diagonal (d2):
The triangles on the right of the kite must be 3 4 5 triangle since it is a right triangle with a hypotenuse of 5 and a side of 4, we know half of a diagonal would be 3 inches.
d2 = 3 in + 3 in = 6 in
Now we can plug the diagonals into the area formula.
Area = ½ × 11 × 6 = 33 inches squared
Answer:
To calculate the mean we need x and f both
