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Alinara [238K]
3 years ago
9

15 points! please answer all questions

Mathematics
1 answer:
Anton [14]3 years ago
4 0
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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The reciprocal of 16 in a fraction
Varvara68 [4.7K]

Answer:

The reciprocal of 16 is 1/16

Step-by-step explanation:

The reasoning for this is that the reciprocal of any number is the opposite of it.

Another example would be: The reciprocal of 1/2 would be 2/1

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4 years ago
Find the perimeter of the triangle shown.Simplify your answer.Show all your work.
VashaNatasha [74]
Answer: 12 sqrt(5)

Explanation:
First simplify:
= Sqrt(45)
= sqrt(9*5) sqrt of 9 is 3 so bring out 3
= 3sqrt(5)

= 2sqrt(20)
= 2sqrt(4*5) sqrt of 4 is 2 so bring that out and multiply it by 2
= 4sqrt(5)

= 5 sqrt(5) is already simplified

= 3sqrt(5) + 4 sqrt(5) + 5sqrt(5)
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Once again, Bob and John went to the candy store. Bob bought 5 pieces of fudge and 4 pieces of bubble gum for a total of $10.10.
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3 0
3 years ago
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What is an equation of the line that passes through the points (-6, -8)and (-3, -3)? Put your answer in fully reduced form.
astra-53 [7]

Answer:

The equation of the line that passes through the points (-6, -8)and (-3, -3) is

5 x - 3 y + 6 =0

Step-by-step explanation:

<u>Step(i):</u>-

Given points are ( -6 ,-8) and ( -3 ,-3)

Slope of the line

m = \frac{y_{2}-y_{1}  }{x_{2} - x_{1} } = \frac{-3+8}{-3+6} = \frac{5}{3}

<u><em>Step(ii)</em></u><em>:</em>-

Slope -point form

y-y_{1} =m(x-x_{1} )

y-(-8) =\frac{5}{3} (x-(-6) )

cross multiplication, we get

3(y +8 ) = 5(x+6)

3 y +24 = 5 x +30

5 x - 3 y +30 -24 =0

5 x - 3 y + 6 =0

<u><em>Final answer</em></u>:-

The equation of the line that passes through the points (-6, -8)and (-3, -3) is

5 x - 3 y + 6 =0

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Write a two-column proof for the following information.
marysya [2.9K]
Attached the solution and work.

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3 years ago
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