Answer:
Nina will be 18 years old when she is half as old as her mother.
Step-by-step explanation:
With the information provided, you can write an equation that indicates that Mrs. Matthews current age plus x which would be the number of years until Nina will be half as old as her mother would be equal to two times nina's age plus x, as you would have to multiply Nina's age at that time for 2 to be equal to her mother's age. The equation would be:
24+x=2(6+x)
Now, you can solve for x:
24+x=12+2x
24-12=2x-x
12=x
Finally, you have to add the value of x plus Nina's current age to determine her age when she is half as old as her mother:
12+6=18
Acording to this, the answer is that Nina will be 18 years old when she is half as old as her mother.
Answer:
x-intercept: (3, 0)
y-intercept: (0, -10)
Step-by-step explanation:
<u>X-intercept:</u>
We can see that the line crosses the x-axis at the 3. Let's imagine that this automatically makes a point. If the point is directly on the line, that means that the opposite coordinate (in this case, the y-coordinate) will be 0. This is because the point is directly at the 0 on the y-axis; it doesn't go up nor down.
<u>Y-intercept:</u>
The same goes for the opposite coordinate: if we picture a point at where the line intercepts the y-axis, there will be a point at -10 on the y-axis. Since the point is directly at 0 on the x-axis (meaning that it doesn't go left nor right) we know that the x-coordinate will be 0.
Answer:
C. f(-1) =12
Step-by-step explanation:
f(x)= 3x^2+9
Let x=-1
f(-1) = 3(-1)^2 +9
= 3(1)+9
= 3+9
= 12
f(-1) =12
Answer:
Number of cube fit in prism = 24 cubes
Step-by-step explanation:
Given:
Side of cuboid = 1cm , 2cm , 2 1/2
Find:
Number of cube fit in prism
Computation:
Number of cube fit in prism = Volume of prism / Volume of cube
Number of cube fit in prism = (1)(2)(3/2) / (1/2)³
Number of cube fit in prism = 24 cubes
Answer:
s = 4
Step-by-step explanation:
3r = 10 + 5s
3×10 = 10 + 5s
5s = 30 - 10
5s = 20
s = 20 : 5
s = 4
