A certain tiger shark is 55 cm long at birth and grows 2.5 cm / year. A certain hammerhead shark is 25 cm long at birth and grows 5 cm/year. When will the sharks be equal in length?

Let x = time in years

Let y = length of the sea creatures

The equation for the length of the tiger shark is
[ Select ]
. The equation for the length of the spiny dogfish hammerhead shark is
[ Select ]
. Solving with elimination, the sharks will be equal in length when
[ Select ]
years have passed.

Answers

Answer 1

Answer:

Step-by-step explanation:

equation for tiger shark:

for each additional year, it grows by 2.5 cm so that would be shown as 2.5x. also it starts at 55 so you would have to add 55 to that 2.5x.

the equation would be y = 2.5x + 55

equation for hammerhead:

do the same process with the other numbers. this would be

y = 5x + 25

solve with elimination:

subtract the two equations, which would eliminate the y variable

y = 5x + 25

- (y = 2.5x + 55)

you get

0 = 2.5x - 30

solve that for x

2.5x = 30

x = 12 years

so the years that have passed is 12. to find the length, plug in x = 12 into one of the equations:

y = 5x + 25 becomes y = 5 * 12 + 25 = 60 + 25 = 85

so they will be 85 cm long each.


Related Questions

1/3 + 3/5 in fraction form

Answers

Solution: 1/3 + 3/5

Take the LCM of 3 and 5 is 15.

⇛(5+9)/15

⇛14/15 in fractional form.

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Answer:

14/15

Step-by-step explanation:

When you simplify a fraction, you have to divide or multiply the numerator(the top number) and the denominator(the bottom number) by the same number. In order to add or subtract two fractions, both have to have the same denominator. The LCD, or least common denominator, of 3 and 5 is 15. 15÷3=5, so you multiply 1/3 by 5 and and 5 to get 5/15. 15÷3=5, so you multiply 3/5 by 3 and 3 to get 9/15. The denominator stays the same when adding or subtracting fractions, and 5+9=14, so the answer is 14/15.

4. Mario planted a total of 150 eggplant and pepper seedlings. If he planted 50%
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Answers

Answer:

225 pepper seedlings.

Step-by-step explanation:

WAY 1: common sense

half of 150 is 75

75 + 150 = 225

WAY 2: % of number

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Answers

Answer:

12

Step-by-step explanation:

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Step-by-step explanation:

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Answers

h(x)=3x−3, find h(3)

h(3)= 3(3)−3

= 9-3

= 6

Answer one question. Thanks

Answers

The y-intercept is 4.
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1) Which transformation can be used to map ABCD onto EFGH and to confirm that the figures are congruent?
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B) ABCD can be mapped to EFGH with a translation left 4 units and down 4 units.
C) ABCD can be mapped to EFGH with a translation left 4 units and up 4 units.
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B) ABCD is translated 4 units left, 2 units up, and then reflected across the y-axis.
C) ABCD is rotated 180° clockwise about the origin and the translated 3 units right.
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Answer:

itsb a

Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

  0.01010

Step-by-step explanation:

The decimal equivalent is ...

  [tex]\dfrac{1}{99}=0.\overline{01}[/tex]

Rounded to 4 significant figures, it is ...

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Answers

Answer:

Answer:

Speed of the wave in the string will be 3.2 m/sec

Explanation:

We have given frequency in the string fixed at both ends is 80 Hz

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We know that distance between two adjacent anti nodes is equal to half of the wavelength

So \frac{\lambda }{2}=20cm

2

λ

=20cm

\lambda =40cmλ=40cm

We have to find the speed of the wave in the string

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find.


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Answers

Answer
y=55

Reason
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Answers

x = 0 ⇒ (0⁵ + 32) = (0 + 2)⁵ ⇒ 32 = 32

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Ok done. Thank to me :>

Determine which relation is a function.
Question options:



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{(–4, 1), (–2, 3), (–1, 2), (3, 5), (3, 2)}




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Answer:

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Answers

Answer:

Step-by-step explanation:

If AD=DB  and  AE=EC,

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What is the answer for this one: If the temperature is 3 degrees and it falls by 12 degrees, what is the new temperature?

Answers

Answer:

-9 degrees

Step-by-step explanation:

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Answer:

-9 degrees

Step-by-step explanation:

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Answers

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Answers

Answer:

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   8A + 11A

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...

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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