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
Travka [436]
3 years ago
5

The variable x represents the number of angelfish Carlos bought and the variable y represents the number of parrotfish he bought

.
Carlos bought 405 tropical fish for a museum display. He bought 8 times as many parrotfish as angelfish.

How many of each type of fish did he buy?

Which system of equations models this problem?



{x+y=405
y=8x

{x−y=405
y=8x

{x+4y=8
y=405x

{x+y=8
y=405x

Mathematics
2 answers:
siniylev [52]3 years ago
8 0
X + y = 405
y = 8x

To solve:
Plug the second equation into the first and solve for x.
x + 8x = 405
9x = 405
Divide both sides by 9
x = 45

Use the second equation to find y.
y = 8(45)
y = 360

45 angelfish
360 parrotfish
3241004551 [841]3 years ago
5 0
My Answer: <span>{x+y=405
y=8x

Hope I helped! :D</span>
You might be interested in
Can someone tell me why the answer is 2?
Ira Lisetskai [31]

Answer:

If we put x=2 in the given equation, we get the answer for the equation as 2

Given:

      \sqrt{-3 x+10}=x

To find:

Why the answer is 2

Solution:

If we substitute the value x=2 in the given option, we get

        \sqrt{-3(2)+10}=2

          \sqrt{-6+10}=2

        \sqrt{4}=2

Result:

Thus we can say that when substitute the value of x=2

We get the answer as \sqrt{-3 x+10}=2

8 0
3 years ago
Is 9.37 greater or less than 5.999?
elixir [45]

Answer:

Greater

Step-by-step explanation:

The answer is greater because 9 is greater than 5. When working with decimals, always look at the whole number first!

8 0
3 years ago
The sector COB is cut from the circle with center O. The ratio of the area of the sector removed from the whole circle to the ar
mafiozo [28]

Answer:

Ratio = \frac{R^2 - r^2 }{ r^2}

Step-by-step explanation:

Given

See attachment for circles

Required

Ratio of the outer sector to inner sector

The area of a sector is:

Area = \frac{\theta}{360}\pi r^2

For the inner circle

r \to radius

The sector of the inner circle has the following area

A_1 = \frac{\theta}{360}\pi r^2

For the whole circle

R \to Radius

The sector of the outer sector has the following area

A_2 = \frac{\theta}{360}\pi (R^2 - r^2)

So, the ratio of the outer sector to the inner sector is:

Ratio = A_2 : A_1

Ratio = \frac{\theta}{360}\pi (R^2 - r^2) : \frac{\theta}{360}\pi r^2

Cancel out common factor

Ratio = R^2 - r^2 : r^2

Express as fraction

Ratio = \frac{R^2 - r^2 }{ r^2}

6 0
3 years ago
Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t
nataly862011 [7]

Let (<em>x</em>, <em>y</em>, <em>z</em>) be a point on the plane in the first octant. The box formed by this point has volume <em>xyz</em>, and you want to maximize this subject to the equation of the plane.

Use the method of Lagrange multipliers: the Lagrangian is

<em>L</em>(<em>x</em>, <em>y</em>, <em>z</em>) = <em>xyz</em> - <em>λ</em> (<em>x</em> + 2<em>y</em> + 3<em>z</em> - 6)

Find its critical points:

∂<em>L</em>/∂<em>x</em> = <em>yz</em> - <em>λ</em> = 0

∂<em>L</em>/∂<em>y</em> = <em>xz</em> - 2<em>λ</em> = 0

∂<em>L</em>/∂<em>z</em> = <em>xy</em> - 3<em>λ</em> = 0

∂<em>L</em>/∂<em>λ</em> = -(<em>x</em> + 2<em>y</em> + 3<em>z</em> - 6) = 0

Solving the first three equations for <em>λ</em> gives

<em>λ</em> = <em>yz</em> = <em>xz</em>/2 = <em>xy</em>/3

Solve these equations for <em>y</em> and <em>z</em> :

• <em>yz</em> = <em>xz</em>/2   =>   <em>y</em> = <em>x</em>/2   =>   2<em>y</em> = <em>x</em>

• <em>yz</em> = <em>xy</em>/3   =>   <em>z</em> = <em>x</em>/3   =>   3<em>z</em> = <em>x</em>

Substitute these solutions into the last equation and solve for <em>x</em>, then again for <em>y</em> and <em>z</em> :

<em>x</em> + 2<em>y</em> + 3<em>z</em> - 6 = 3<em>x</em> - 6 = 0   =>   3<em>x</em> = 6   =>   <em>x</em> = 2, <em>y</em> = 1, <em>z</em> = 2/3

At this critical point, the maximum volume is

<em>xyz</em> = 2*1*2/3 = 4/3

4 0
3 years ago
Please help with this
klemol [59]

Answer:

(h+k)(2)=4+1+2-2=5

(h-k)(3)=9+1-3-2=3+1-1=9

3h2+2k3=3*5+2=17

7 0
3 years ago
Other questions:
  • Solve 1/2(-4x+6)=1/3(9x-24)
    5·2 answers
  • For breakfast, Clarissa can choose from oatmeal, cereal, french toast, or scrambled eggs. She thinks that if she selects a break
    10·2 answers
  • which relation is a function. ( I chose option D) but not 100% sure. Need help ASAP. Will Mark Brainlest. ​
    10·1 answer
  • If you have a positive numerator but then a negative denominator while doing slope is it a Negative or Positive slope?
    8·1 answer
  • Boys shirt costs 9.99 with a sales tax is 6 percent complete this 100 percent plus 6 percent equals 106 percent what do I do nex
    8·1 answer
  • 31. Which number is both a factor of 60 and a multiple of 3? Select three that apply.
    13·1 answer
  • Find the Reciprocal of the number. 5/8
    13·1 answer
  • Have 5 Points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    10·2 answers
  • Help me pls with math-
    9·2 answers
  • At Beast Island Pizza, every pizza comes with cheese and tomato sauce. Beast Island Pizza offers four toppings: Pepperoni, sausa
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!