Answer:
33
Step-by-step explanation:
If m = Mother's age and d = daughter's age, we can make the following equations
m = 3d
m + d = 44
Now, using substitution, we can substitute m for 3d in the second equation:
3d + d = 44, 4d = 44, d = 11
Then, we can plug d into the first equation: m = 3(11) = 33
Answer:
The probabily of P(not less than 6) is
P= the favorable outcomes/ the total outcomes
favorable out come is 1 case(7)
the total outcomes are 5 cases(2,3,5,6)
P=1/5=20%
Answer:
x>−6,x<−12
Step-by-step explanation:
Break down the problem into these 2 equations.
x+9>3x+9>3
-(x+9)>3−(x+9)>3
Solve the 1st equation: x+9>3x+9>3.
x>-6x>−6
3 Solve the 2nd equation: -(x+9)>3−(x+9)>3.
x<-12x<−12
Collect all solutions.
x>-6,x<-12x>−6,x<−12
The formal name for the property
of equality that
allows one to add the same quantity to both sides
of an equation.
This is one
of the most commonly used properties for solving equations.
The formula tells us that if a = b, then a + c = b + c. The letters a and b stand for two separate numbers, our two twins, and the letter c
stands for what we give to each twin to keep them matching. So, for
example, if we add 1 to the left side of the equation, we must also add 1
to the right side of the equation. By doing this, we keep the equation,
the twins, the same.
Answer: correct choice is B.
Answer:
Area_lawn = 393.75 π ft^2
Step-by-step explanation:
Maximum radius : 30 feet
Minimum radius: 30 feet - 0.25*(30feet) = 22.5 feet
(25 percent reduction)
To find the area of lawn that can be watered, we just need to calculate the area for the maximum radius and the minimum radius, and then subtract them.
Since the sprinklers have a circular area:
Area = π*radius^2
Max area = π*(30 ft)^2 = 900π ft^2
Min area = π*(22.5 ft)^2 = 506.25π ft^2
Maximum area of lawn that can be watered by the sprinkler:
Area_lawn = Max area - Min area = 900π ft^2 -506.25π ft^2
Area_lawn = 393.75 π ft^2
