15 points! please answer all questions 1. Choose the correct answer.

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 + 7y = 320
y = 7x

C.
x – y = 320
y = 7x

D.
x + y = 7
y = 320x

2. 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

3. David has a hose that is 27 ft long. He wants to cut it into two pieces so that the longer piece is 3 ft more than 2 times the length of the shorter piece.

How long will each piece of hose be?

Shorter piece:ft
Longer piece: ft

4. Admission for a movie is $8 for children and $12 for adults. On a certain day, 3200 people attend the movie theater and $33,040 is collected.

How many children and how many adults attended the movies?

children.?
adults.?

5.A collection of quarters and dimes is worth $12.40. There are 67 coins in all.

How many of each coin are there?

quarters._?___
dimes._?____

Answers

Answer 1

Answer: 1. A.
x parrot fish + y triggerfish = 320 total fish.
y = 7x shows that there are 7 times as many triggerfish.
2. C
x + y shows a total score of 425.
y = 2x - 70 shows that Michael's score, y, is 70 less (minus) than twice Kathryn's
3. write two equations
x + y = 27 total feet
2x + 3 = y
Substitute 2x + 3 for y in the first equation
x + (2x + 3) = 27
3x + 3 = 27
3x = 24
x = 8
Substitute 8 in to either equation to find the other length.
8 + y = 27
y = 19
The shorter piece is 8 and the longer piece is 19
4. x + y = 3200 people -> y = 3200-x
8x + 12y = 33,040 dollars
8x + 12(3200 - x) = 33040
8x + 38400 - 12x = 33040
-4x = -5360
x = 1340 (1340 children)
1340 + y = 3200
y = 1860 adults
5. I don't think the numbers for this were put in correctly because I get a decimal and a negative number when I solve for it but hopefully if you do get the correct cost/amount of coins you will understand this well enough to do it on your own. Hope I helped!

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Emily has a coupon for 20 percent off her purchase. She finds a backpack she likes on the discount rack. It’s original price is $60, but everything on the rack comes with a 30 percent discount. Emily says, “thirty percent and twenty percent make fifty percent so ur will cost $30. Is emy correct?

Answers

She’s incorrect I’m pretty sure u divide 20 and 60.

How do I solve 8x - 4x - 60 = -12

Answers

8x - 4x - 60 = -12 Original Problem.
4x - 60 = -12 Subtract.
4x = 48 Add 60 to each side.
x = 12 Divide each side by 4.

Answer: x = 12

In order to solve this equation there is a series of steps you need to go through:

8x - 4x - 60 = -12

First let's combine the like terms

4x - 60 = -12

Now let's isolate x.

4x = 48

Solve for x.

x = 12

Your answer should be x = 12

What is the area of the regular hexagon shown?
15 in.

Answers

I don’t know this question is hard I had the same question on a paper and I got it wrong

A one-topping pizza costs $15.00. Each additional topping costs $1.25. Let x be the number of additional toppings. You have $20 to spend. Which equation can you solve to find the number of additional toppings you can get on your pizza?The choices are:
A. 15x+1.25=20
B. 1.25x+15=20
C. 1.25x-15=20
D. 15x-1.25=20

Answers

So,

Our total will be equal to 20. If we want 1 additional topping, we will have an additional $1.25. If we want 2 additional toppings, we will have an additional $2.50. So we can just multiply the number of additional toppings by 1.25 to get the additional amount.

1.25x

However, you will have already spent $15.

1.25x + 15 = 20

This is option B.

P.S. You will be able to put exactly 4 additional toppings.

b .because x is an unknown amount of toppings and its 1.25 per extra topping and you have to add 15 because you can't just buy toppings you have to buy the pizza

What is the length of PQ round to the nearest tenth of a unit p(-3 ,7) q(6 ,1)