A migrating bird flies 330 miles in 15 hours. How many miles does it fly in 44 ​hours?

Answers

Answer 1
Answer: This problem can solve by the rule of three.

330 miles-------------------------15 hours
x--------------------------------------44 hours

x=(330 miles * 44 hours) / 15 hours=968 miles.

answer: the migrating bird flies 968 miles in 44 hours.

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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

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!


What is the halving and doubling strategy

Answers

halving-reduce by half or think what is fifty% of the number or divide by two
doubling-add the number you got to the same number or multiply by two

Halving Ex.:6/2=3

Doubling ex.: 9+9=18 or 6*2=12

there are 32 peanuts in a bag. Elliott takes 25 percent of the peanuts from the bag. then zaire takes 50 percent of the remaining peanuts. how many peanuts are left in the bag?

Answers

1) we calculate the number of peanuts in the bag after Elliott take 25% of the peanuts form th bag.

number of peanuts in the bag after elliot take 25%=32-(25/100)32=32-8=24.

2) we calculate the number of peanuts in the bag after Zaire takes 50% of the remaining peanuts.

number of peanuts in the bag after Zaire takes 50%=24-(50/100)24=24-12=
=12

Answer: 12 peanust are left in the bag.
Simple...

there are 32 peanuts...

they took 50% and 25%

50+25%=75%

32*75%=24

32-24=8

Thus, there are 8 peanuts remaining.

The cost y (in dollars) to rent a car is proportional to the number x of days that you rent the car. It costs $207 to rent the cars for 3 days. Write an equation that represents the situation.

Answers

207/3= x 
Because if you divide 207, by three you get the daily cost of the rental car. From then on, you can easily find the cost of the rental car over any amount of time. I hope this helped!  

What is the least common multiple of 3 and 5 show your work

Answers

The least common multiple is 15 because 3 times 5 = 15
The least common multiple is 15 because that is the first number they have in common!!!!

From 25% of £30.44 subtract 50% of £13.50

Answers

25% means 0.25  (It also means 1/4.)
50% means 0.5 (It also means 1/2.)

0.25 of 30.44 = 7.61

0.5 of 13.50 = 6.75

From 7.61, subtract 6.75.

OK.  I did it.  The question just says "do it". It doesn't ask us what the result is.

If anybody asks you, you can do the subtraction, or just tell them it's 0.86 .
(Is that 86 pence?)
25\% \cdot\£30.44 -50\% \cdot \£13.50=0.25\cdot \£30.44-0.5\cdot \£13.5=\n\n= \£7.61- \£6.75= \£0.86