1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Phantasy [73]
3 years ago
10

Chris found out that animators earn an average salary of $46,885 for 12 months. How much does an animator earns per month? Set u

p your ratios and then solve.
Mathematics
1 answer:
Reptile [31]3 years ago
8 0

Answer:

345:675=243$

Step-by-step explanation:

You might be interested in
When you owe money, you have a negative balance. You owe $200 to your bank. You pay $30 back. What is your new bank balance?
Mandarinka [93]
So in this problem we need to do some addition. 

take the starting balance (-200) and add it to the amount you paid back (30) 

-200 + 30 = -170
8 0
3 years ago
Read 2 more answers
Gary's car travel 30 miles on 1 1/5 gallon of gas. Gary wants to travel 90 miles. How many gallons of gas will his car use?
3241004551 [841]
Gary car will use 18 miles/gallons
7 0
3 years ago
Use lagrange multipliers to find the shortest distance, d, from the point (4, 0, −5 to the plane x y z = 1
Varvara68 [4.7K]
I assume there are some plus signs that aren't rendering for some reason, so that the plane should be x+y+z=1.

You're minimizing d(x,y,z)=\sqrt{(x-4)^2+y^2+(z+5)^2} subject to the constraint f(x,y,z)=x+y+z=1. Note that d(x,y,z) and d(x,y,z)^2 attain their extrema at the same values of x,y,z, so we'll be working with the squared distance to avoid working out some slightly more complicated partial derivatives later.

The Lagrangian is

L(x,y,z,\lambda)=(x-4)^2+y^2+(z+5)^2+\lambda(x+y+z-1)

Take your partial derivatives and set them equal to 0:

\begin{cases}\dfrac{\partial L}{\partial x}=2(x-4)+\lambda=0\\\\\dfrac{\partial L}{\partial y}=2y+\lambda=0\\\\\dfrac{\partial L}{\partial z}=2(z+5)+\lambda=0\\\\\dfrac{\partial L}{\partial\lambda}=x+y+z-1=0\end{cases}\implies\begin{cases}2x+\lambda=8\\2y+\lambda=0\\2z+\lambda=-10\\x+y+z=1\end{cases}

Adding the first three equations together yields

2x+2y+2z+3\lambda=2(x+y+z)+3\lambda=2+3\lambda=-2\implies \lambda=-\dfrac43

and plugging this into the first three equations, you find a critical point at (x,y,z)=\left(\dfrac{14}3,\dfrac23,-\dfrac{13}3\right).

The squared distance is then d\left(\dfrac{14}3,\dfrac23,-\dfrac{13}3\right)^2=\dfrac43, which means the shortest distance must be \sqrt{\dfrac43}=\dfrac2{\sqrt3}.
7 0
3 years ago
A rectangular prism has a volume of 1376 cubic inches. The prism is 10 inches wide and 18 inches long. What is the height of the
Vladimir79 [104]

\huge\boxed{ \mathcal{\longmapsto Answer࿐}}

we know,

\boxed{volume = l \times w \times h}

\longmapsto1376 = 18 \times 10 \times h

\longmapsto h =  \dfrac{1376}{180}

\longmapsto h = 7.64 \:   \: inches

3 0
2 years ago
Fiona divided 3x2 + 5x – 3 by 3x +2. The expression represents the remainder over the divisor. x + 1 + What is the value of a?
grigory [225]
                    x + 1
         __________
3x+2 I 3x² +5x -3
           3x² +2x
           ----------
                    3x -3
                    3x+2
                    --------
                          -5 is the remainder 
                 
8 0
3 years ago
Read 2 more answers
Other questions:
  • Find the future value of the loan. $34300 loan at 3.5% for 4 months
    7·1 answer
  • 44x10 to the power of 4
    8·2 answers
  • Find the exact solution(s) of the equation.
    12·2 answers
  • Can someone please help me, thanks
    12·1 answer
  • Eyjafjallajökull is a volcano in Iceland. Ina research reuption a projectile is ejected with an initial velcony of 304 feet per
    13·1 answer
  • Cos 48 degrees in fraction
    10·1 answer
  • Help please!!!!!!!!!!!!
    8·1 answer
  • B) Select all expressions that can be used to find 85% of 280.
    10·1 answer
  • What is 49 times 69 equal to?
    15·2 answers
  • Graph the equation y=-1/8x^2+x-4
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!