1. 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 + 7y = 320
y = 7x

B. x + y = 7
y = 320x

C. x + y = 320
y = 7x

D. x−y=320
y = 7x

2. Nancy bought 360 tropical fish for a museum display. She bought 8 times as many goldfish as angelfish.

How many of each type of fish did she buy?

A. 40 angelfish, 320 goldfish

B. 160 angelfish, 200 goldfish

C. 20 angelfish, 160 goldfish

D. 320 angelfish, 40 goldfish

3. Michael and Kathryn bowl together and their combined total score for one game was 425 points. Michael’s score was 70 less than twice Kathryn’s. What were their scores?

Which is a system of equations to model the problem if x represents Kathryn’s score and y represents Michael’s score?

A. x + y = 70
y = 2x – 425

B. x + y = 425
y = 2x – 70

C. x – y = 425
y = 2x – 70

D. x + y = 425
y = 2x + 70

4. Michael and Kathryn bowl together and their combined total score for one game was 425 points. Michael’s score was 70 less than twice Kathryn’s.

What were their scores?

A. Kathryn: 260, Michael: 165

B. Kathryn: 150, Michael: 275

C. Kathryn: 275, Michael: 150

D. Kathryn: 165, Michael: 260

5. A collection of nickels and dimes is worth $6.10. There are 67 coins in all.

How many nickels are there?

A. 12

B. 18

C. 49

D. 55

Answers

Answer 1
Answer:

Answer:

D

Step-by-step explanation:

If im wrong, please correct me in the comments.

Answer 2
Answer:

Answer:

5. D, Let d represent the number of dimes and n represent the number of nickel. We have been given that a collection of coins has 67 coins in all. This means that total number of nickels and dimes is 67. We can represent this information in an equation as:

Since we know that a dime is worth $0.10, so d dimes will be worth 0.10d.  

A nickel is worth $0.05, so n nickels will be worth 0.05n. We are also told that the collection is worth $6.10. We can represent this information in an equation as:

We will use substitution method to solve system of linear equations. From equation (1) we will get, upon substituting  in equation (2) we will get, Let us divide both sides of our equation by .


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Choose values for a and b and use them to verify the product shown.(5a + b)(a – 6b) = 5a2 – 29ab – 6b2

Answers

just  make a=2 and b=3
(5(2)+3)(2-6(3))=5(2)^2-29(2)(3)-6(3)^2
(10+3)(2-18)=5(4)-29(6)-6(9)
(13)(-16)=20-174-54
-208=-208
correct

There is a discrete relationship between the number of workers and the number of bricks layed on a wall. Use this information to answer problems 9-11. What is the domain for the function that models the relationship between workers and bricks laid on the wall?

Answers

Answer: The domain of a function represents all the possible input values or independent variables that can be used in the function. In this case, the function models the relationship between the number of workers and the number of bricks laid on the wall.

To determine the domain, we need to consider what values the number of workers can take on in this relationship. Since the number of workers is discrete, it means that only whole numbers can be used to represent the number of workers. For example, you cannot have 2.5 workers.

Therefore, the domain of the function would be a set of whole numbers. We can represent this using interval notation as {0, 1, 2, 3, ...}, where the ellipsis (...) indicates that the pattern continues indefinitely.

An angle measuring (525n)° is in standard position. For which value of n will the terminal side fall along the negative portion of the y-axis?A) n = 2
B) n = 3
C) n = 5
D) n = 6

Answers

For n=2,

put the value 2 in the above equation we get 525*2=1050°.

1050° angle takes 2 complete revolution and then makes an angle of 330° which will fall in the negative portion of y-axis.


For n=6,

put the value 6 in the above equation we get 525*6=3150°.

3150° angle takes 8 complete revolution and then makes an angle of 270° which will fall along negative y-axis.



The value of n that causes the y-component of the terminal side to be negative is n = 2.

For which value of n the terminal side has a negative y-value?

We know that for a polar point with coordinates of (R, θ), the rectangular coordinates of an equivalent point are:

x = R*cos(θ)

y = R*sin(θ)

In this case, R does not matter, because it is always positive. We want to have a negative value of y, so we want:

y = sin(θ) < 0.

where θ = (525n)°

So we can check for different values of n, and see which one gives a negative sine:

n = 2

sin(525*2°) = -0.5

So for the first value that we tried, we found the correct option. Then we conclude the correct option is A.

If you want to learn more about the sine function:

brainly.com/question/6904750

#SPJ5

What is the solution to this equation?4x +5= 2x – 3
Enter your answer in the box.
X =___

Answers

You’re solving for x, so the first step is to move all the x’s to the same side. Subtract 2x from both sides. You’re left with:
2x + 5 = -3
The x variable still isn’t by itself. Subtract five from both sides.
2x = -8
The last step to get x by itself is to divide both sides by 2.

Your final answer is: x = -4
X equals -1 1/2 or -5/2 that is the answer

Line Z Y also contains points E and G. A line is drawn from point E to point F, and then to point X. Another line is drawn from F to G to form triangle E F G.Which statements regarding the diagram are true? Check all that apply.

∠XFG is an interior angle of ΔEFG.
∠EFG is an interior angle of ΔEFG.
∠FEZ is an exterior angle of ΔEFG.
∠YGE is an exterior angle of ΔEFG.
∠EGF and ∠FGY are supplementary angles.
∠FEG and ∠FGE are supplementary angles.

Answers

Answer:

B) ∠EFG is an interior angle of ΔEFG.

C) ∠FEZ is an exterior angle of ΔEFG.

E) ∠EGF and ∠FGY are supplementary angles.

Step-by-step explanation:

EDG 2020

Answer:

B) ∠EFG is an interior angle of ΔEFG.

C) ∠FEZ is an exterior angle of ΔEFG.

E) ∠EGF and ∠FGY are supplementary angles.

Step-by-step explanation:

person above me is correct!

Can someone help me with these four please

Answers

Answer:

7:59  8:101 9:106 10:94

Step-by-step explanation:

7:180-121=59

8:they are the same

9:they are the same

10:180-86=94