All categories

3 years ago

Amy is six years younger than Melody. Two years ago, Melody was three times as old as Amy. How old is Amy now?

Mathematics

2 answers:

Eduardwww [97]3 years ago

8 0

Answer:

Step-by-step explanation:

two years ago she was 4 and he is 3 times as old as her which is 12 add the 2 years ago now she is 14

Ugo [173]3 years ago

5 0

Answer:

Amy is 14 years old now.

Step-by-step explanation:

This one is a bit wordy, but try to break down the word problem.

Amy is six years younger than Melody. Two years ago, Melody was three times as old as Amy.

So, Melody was 6(3)+2. Melody was 18 two years ago, so add 2 to that number. Subtract the answer (which is 20) by 6. Therefore, Amy is 14.

You might be interested in

EXAMPLE 5 Find the maximum value of the function f(x, y, z) = x + 2y + 9z on the curve of intersection of the plane x − y + z =

geniusboy [140]

The Lagrangian,

$L(x,y,z,\lambda,\mu)=x+2y+9z-\lambda(x-y+z-1)-\mu(x^2+y^2-1)$

has critical points where its partial derivatives vanish:

$L_x=1-\lambda-2\mu x=0$

$L_y=2+\lambda-2\mu y=0$

$L_z=9-\lambda=0$

$L_\lambda=x-y+z-1=0$

$L_\mu=x^2+y^2-1=0$

$L_z=0$ tells us $\lambda=9$ , so that

$L_x=0\implies-8-2\mu x=0\implies x=-\dfrac4\mu$

$L_y=0\implies11-2\mu y=0\implies y=\dfrac{11}{2\mu}$

Then with $L_\mu=0$ , we get

$x^2+y^2=\dfrac{16}{\mu^2}+\dfrac{121}{4\mu^2}=1\implies\mu=\pm\dfrac{\sqrt{185}}2$

and $L_\lambda=0$ tells us

$x-y+z=-\dfrac4\mu-\dfrac{11}{2\mu}+z=1\implies z=1+\dfrac{19}{2\mu}$

Then there are two critical points, $\left(\pm\frac8{\sqrt{185}},\mp\frac{11}{\sqrt{185}},1\pm\frac{19}{\sqrt{185}}\right)$ . The critical point with the negative $x$ -coordinates gives the maximum value, $9+\sqrt{185}$ .

8 0

4 years ago

I’m so confused !! PLS HELP ME, it’s due in like 5 mins ASAP

Tresset [83]

Answer:

its g

Step-by-step explanation:

8 0

4 years ago

Find the equation of the line that contains the point (1, 1) and is perpendicular to the line y = -1/4x + 4. Write the equation

RUDIKE [14]

Okay I seriously don’t see a picture or anything but use Math-papa-algebra - calculator it helps sooooo much this is seriously not an add it shows graphs and other stuff

8 0

3 years ago

Plots in order 0,1 3,0 3,4 0,4

Veseljchak [2.6K]

Answer:

0, 03, 4, 13, 40

Step-by-step explanation:

4 0

3 years ago

The height of one solid limestone square pyramid is 21 m. A similar solid limestone square pyramid has a height of 30 m. The vol

Elina [12.6K]

Answer: