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Ghella [55]
2 years ago
8

Elena bought 320 tropical fish for a museum display. She bought 7 times as many triggerfish as parrotfish. How many of each type

of fish did she buy?
Which is a system of equations to model the problem if x represents the number of parrotfish Elena bought and y represents the number of triggerfish she bought?


A.
x – y = 320
y = 7x

B.
x + y = 7
y = 320x

C.
x + 7y = 320
y = 7x

D.
x + y = 320
y = 7x
Question Resources
First answer will get Brainiest answer
Mathematics
1 answer:
luda_lava [24]2 years ago
3 0
X+y = 320 y = 7x ..............
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In a science test devi scores 15 marks more than lixin . If devi obtains twice as many marks as lexin . Find the number of marks
BabaBlast [244]

Answer:

Lixin obtains 15 marks

Step-by-step explanation:

Lets write two equations based on the question where: <u>D= Devi and L=Lixin</u>

D=L+15 <em>- "devi scores 15 marks more than lixin"</em>

D=2L <em>- "devi obtains twice as many marks as lexin"</em>

Now, substitute 2L as D in the first equation we wrote: (D=L+15)

2L=L+15

Next, subtract L from both sides:

<u>L=15</u>

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Irina-Kira [14]

Step-by-step explanation:

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7 0
2 years ago
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Help pls help plz help plz
ratelena [41]

Answer:

8

Step-by-step explanation:

(4+8)+6 = (6+4)+n

18 = 10+n

18-10 = n

n = 8

7 0
2 years ago
Circle C has radius of 10 cm. Each of points B and D is on the midpoint of the radius. Find the area of the shaded region.
olya-2409 [2.1K]
Simple :)
Area of shaded part = are of 1/4 circle - area of both triangles.
Are of circle = pie r^2 so 100x3.14 = 314 cm2.
Area of triangle AOB= area of triangleDOE = bh/2= 5x10/2= 25 each
However, the traingles share a common area which is quad DOB(I)
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50-area of triangle A(I)E= 50-(
7 0
2 years ago
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What is the domain of validity for csctheta =start fraction 1 over sine theta end fraction? (1 point) all real numbers all real
dem82 [27]
We know the following relationship:

csc(\theta)=\frac{1}{sin(\theta)}

The domain of a function are the inputs of the function, that is, a function f is a relation that assigns to each element x in the set A exactly one element in the set B. The set A is the domain (or set of inputs) of the function and the set B contains the range (or set of outputs).Then applying this concept to our function csc(\theta) we can write its domain as follows:

1. D<span>omain of validity for csc(\theta):
</span>
D: \{\theta \in R/ sin(\theta) \neq 0 \} \\ In words: All \ \theta \ that \ are \ real \ values \ except \ those \ that \ makes \ sin(\theta)=0 
 
When:

sin(\theta)=0?

when:

\theta=..., -2\pi,-\pi,0,\pi,\2pi,3pi,...,k\pi

where k is an integer either positive or negative. That is:

sin(k\theta)=0 \ for \ k=...,-2,-1,0,1,2,3,...

To match this with the choices above, the answer is:

<span>"All real numbers except multiples of \pi"

</span>
2. which identity is not used in the proof of the identity 1+cot^{2}(\theta)=csc^{2}(\theta):

This identity can proved as follows:

sin^2{\theta}+cos^{2}(\theta)=1 \ Dividing \ by \ sin^{2}(\theta) \\ \\ \therefore \frac{sin^2{\theta}}{sin^{2}(\theta)}+\frac{cos^{2}(\theta)}{sin^{2}(\theta)}=\frac{1}{sin^{2}(\theta)} \\ \\ \therefore 1+cot^{2}(\theta)=csc^{2}(\theta)

The identity that is not used is as established in the statement above:

<span>"1 +cos squared theta over sin squared theta= csc2theta"

Written in mathematical language as follows:

</span>\frac{1+cos^{2}(\theta)}{sin^{2}(\theta)}=csc^{2}(\theta)<span>


</span>
4 0
2 years ago
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