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

-1.3x=3.9

Solve for x

Answers

Answer:

x = -3

Step-by-step explanation:

The equation is : -1.3x=3.9

We can divide both sides by -1.3

-1.3x/-1.3=-3.9/-1.3

We get

x=-3

Answer:

x =-3

Step-by-step explanation:

divide -1.3 to both sides

Divide 75 by -25.
12

Answers

Answer: 6.25

Step-by-step explanation:

dividing 75 by -25 gives you a total of 6.5

Find the measure of angle Y.

Answers

Answer:

  Y = 62°

Step-by-step explanation:

The sum of angles in a triangle is 180°.

  W + X + Y = 180°

  (4n -9°) + (7n -16°) +(6n -16°) = 180°

  17n -41° = 180° . . . . . . . . . . simplify

  17n = 221° . . . . . . . . . . add 41°

  n = 13° . . . . . . . . . . divide by 17

Then the measure of Y is ...

  Y = 6n -16° = 6(13°) -16° = 78° -16°

  Y = 62°

_____

The other angles are W = 43°, X = 75°.

We know that,

Angles of a triangle adds to 180° .

==============================

=> W + X + Y = 180°

=> (4n-9°) + (7n-16°) + (6n-16°) = 180°

=> 17n-41° = 180°

=> 17n = 180° + 41°

=> 17n = 221°

=> n = 221/17

=> n = 13°

The measure of Y is,

=> 6n-16° = 6(13°) -16° = 62°

Y = 62°

indentify the range, y=2x + 6

Answers

Because
x
can take any value, the Domain of this equation is the set of all Real Numbers:
{
R
}

Because this is a simple linear transformation, the Range of this equation is also the set of all Real Numbers:
{
R
}

What is the length of the unknown side of the right triangle? (1 point)

A right triangle with hypotenuse x and legs 21 and 20
A)21
B)29
C)400
D)441

Answers

Answer:

B)29

Step-by-step explanation:

[tex] {x}^{2} = {21}^{2} + {20}^{2} [/tex]

[tex] {x}^{2} = 441 + 400[/tex]

[tex] {x}^{2} = 841[/tex]

[tex]x = \sqrt{841} [/tex]

[tex]x = 29[/tex]

Answer:

B

Step-by-step explanation:

Using Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the two legs, that is

x² = 21² + 20 ² = 441 + 400 = 841 ( take square root of both sides )

x = [tex]\sqrt{841}[/tex] = 29 → B

Can a shape have the perimeter be the same as the area?

Answers

Answer:

In geometry, area is the 2-dimensional space or region occupied by a closed figure, while perimeter is the distance around a closed figure i.e. the length of the boundary. Two shapes may have the same perimeter, but different areas or may have the same area, but different perimeters.

Step-by-step explanation:

Answer maybe

Step-by-step explanation:

After Lois picks a value for b, Clark must solve the equation 2x + 7 - x = 4x + 2b – 3x - 3b.

Clark uses Lois's b, then tries to solve the equation by repeatedly guessing values of x until he guesses
the right one. However, for every x he picks, the left side is always 3 more than the right side. What
value of b did Lois give Clark?

Answers

The value of b that Lois give Clark will be -7

Given the expression 2x + 7 - x = 4x + 2b – 3x - 3b.

First, we need to find the value of b from the expression.

Rearrange;

2x + 7 - x = 4x + 2b – 3x - 3b.

x + 7 = x + 2b - 3b

2b - 3b = 7

-b = 7

b = -7

Substitute b = -7 into the expression and find the value of x;

2x + 7 - x = 4x + 2(-7) – 3x - 3(-7)

x + 7 = 4x - 3x - 14 + 21

x + 7 = x + 7

Since for every x he picks, the left side is always 3 more than the right side, the equation becomes;

x + 7 = x + 3x + 7

x + 7 = 4x + 7

x - 4x = 0

-3x = 0

x = 0

Hence the value of b that Lois give Clark will be -7

Learn more on equations here: https://brainly.com/question/16450098

what is 26x54 PLSSSSSSSSSSSS

Answers

Answer:

1404

Step-by-step explanation:

Answer:

1404

Step-by-step explanation:

If you need assistance with problems like these, try breaking it up!

Instead of 26*54, try doing 26*50 + 26*4

Having "wholer" numbers will help the process.

May I please receive help?

Answers

[tex]h = 2 \sqrt{2} [/tex]

[tex]c = \frac{8}{ \sqrt{3} } = \frac{8 \sqrt{3} }{3} \\ [/tex]

can someone please help with this?

Answers

The line passes the y axis at 0. The gradient is 3 so for every 3 it goes up it should go one along.

60 minutes is 20% of minutes?

Answers

Answer:

300

Step-by-step explanation:

Let the value that we are trying to find be x.

If 60 is 20% of x, then we have the following equation:

1/5x = 60.

Then, we can multiply by 5 to get:

x = 300

Answer:

20 percent of 60 minutes is 1/3

Step-by-step explanation:

I'm not sure if that is what you're asking, but if it is I hope it helps!

I’m stuck on this question, can anybody help?

Answers

Answer: 1/4

Step-by-step explanation:

Noon is 12:00

Supposing that each number is one hour

15 minutes = 1/4 hrs

And therefore 12:15 PM is represented as 1/4

What is the value of x?



74
138
69
148

Answers

Answer:

69

Step-by-step explanation:

All angles add up to 180 in a triangle.

Hope that helps

Assuming the triangle is isoceles as:
- The triangle has two sides that are the same

Angles in a triangle add up to 180.

The two angles at the base of an isoceles triangle are equal, therefore:

180 - 42 = 138 (Sum of the angles at the base)

138 / 2 = 69 (One of the equal angles)

So x = 69.

Find the size of unknown angles ​

Answers

Answer:

hope it helps.

plzz give me brainliest

Christian's mom made some cookies. Christian ate 3\9 of the cookies and gabriel ate 1\3 of them. What fraction of the cookies were left?

Answers

Answer:

1/3 of the cookies remain

Step-by-step explanation:

Christian ate 3/9 of the cookies, which can be simplified into 1/3

Gabriel ate the other 1/3

Therefore, there are only 1/3 of the cookies remaining

12 cm
5 cm
4 cm
15 cm
The area of the trapezium shown
above is

Answers

Answer:

120cm

Step-by-step explanation:

hope it helps pls mark brainliest

120cm² is the area of the trapezium. The two pairs of different sides of a parallelogram are parallel, making it a specific example of a trapezium.

What is trapezium?

A trapezium is indeed a quadrilateral having four straight sides, four corners, and one pair of opposing sides that are parallel to the other pair and the other pair that are not1,2,3,4,5. Bases refers to the parallel sides, whereas Legs 1, 2, 3, and 4 refer to the non-parallel sides.

The two pairs of different sides of a parallelogram are parallel, making it a specific example of a trapezium4. The Trapezium is one of the most popular shapes; when drawn on paper, it creates a two-dimensional shape that resembles a table. A water glass, a lighting fixture, a flower pot, or boats are examples of items that have a trapezium shape.

Area of trapezium =1/2×(sum of parallel sides)×height

                               = 1/2×(5+4)×12

                               = 120cm²

Therefore, 120cm² is the area of the trapezium.

To know more about trapezium, here:

https://brainly.com/question/27929782

#SPJ7

Your question is incomplete but most probably your full question was,

The area of the trapezium shown below is

I need help and I can’t find any sadly. Help!!

Answers

1 = Given

2 = Addition Property of Equality

3 = Division Property of Equality

Given the function f described by fly)=9y2 + 7y-6, find the function values.
f(-5) = 0
(Simplify your answer. Type an integer or a fraction.)

Answers

Answer:

f(- 5) = 184

Step-by-step explanation:

Substitute y = - 5 into f(y) , that is

f(- 5) = 9(- 5)² + 7(- 5) - 6

        = 9(25) - 35 - 6

       = 225 - 41

      = 184

Mrs. Hill went to get an oil change, because she has a 20% off coupon. F the oil change is $35.00, how much is the discount? In problem #1, how much does Mrs. Hill have to pay?

Answers

Answer:

28

Step-by-step explanation:    20% off $35 is equal to (20 x 20) / 100 = 7. So if you buy an item at $35 with 20% discounts, you will pay $28 So the Discount would be 7 Dollars

1.What is the domain of this graph?____

Answers

Answer:

x=2

Step-by-step explanation:

Solve for X
(10x - 1)=(14x - 37)

Answers

(make them equal to each other)

10x-1 = 14x-37

(combine like terms)

-4x = -36

(divide by -4)

x=9

Hope this helps! Have a good day/night!

What are the slopes to
3x+6=30
&
4y+2x+9​

Answers

The first one is undefined and the second one is 1/2

A school is arranging a field trip to the zoo. The school spends 515.84 dollars on passes for 30 students and 2 teachers. The school also spends 282.90 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?

Answers

Answer:

26.16

Step-by-step explanation:

A pancake recipe calls for 4 eggs and 12 cups of flour. How many cups of flour would you need for a single egg?

Answers

Answer:

3

Step-by-step explanation:

i'd say 3

i divided 12 by 4 and then multiplied by one, since that is the amount of eggs we want

good luck! <3

Java 1
Question 14

If x is 5 and y is 10, what will the output of the following code be?


return x > y;


a. true

b. false

c. 10

d. 5

e. 0

Answers

Answer:

it will return 10

Step-by-step explanation:

As you can see 5 = x ad y = 10. So is say's x is lesser than 10 so 10 will be the ne to return

Will mark Brainliest for the correct answer:

Classify EACH expression as a polynomial or not a polynomial.
(just screenshotted since its a lot to type)

Answers

Step-by-step explanation:

#1 is polynomial of degree 4#2 is polynomial of degree 3#3 NOT a polynomial, variable as fraction#4 NOT a polynomial, radical variable#5 is polynomial of degree 5#6 NOT a polynomial, negative exponent

Let's see

Yes, Polynomial having degree 4Yes Polynomial having degree 3No, Fraction onlyNo,radical expressionYes,Of degree 5No

HELPPPPP I ONLY HAVE AN HOUR & ITS 7:23

Answers

Answer:

x=17

Step-by-step explanation:

angle O is equal to angle M.

This means (5x-10)=75

add 10 degrees to both sides

5x=85

divide both sides by 5

x=17

2⎜x - 7/2⎟ + 3 > 4

Pls

Answers

Answer: x<3 or x>4

Step-by-step explanation: 2|x-7/2|+3+-3>4+-3         2|x-7/2|/2>1/2                                                                x+|−7/2|+7/2>1/2+7/2                                                 x>4                                                                             or                                                                              x+|−7/2|+7/2<−1/2+7/2                                                 x<3

                 

           

                   

8x - 2y = - 8 5x - 4y = 17

Answers

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

( − 3 , − 8 )

Equation Form:

x =- 3 , y = − 8

Step-by-step explanation:

Gordon types 2,584 words in 38 minutes.

Answers

Answer:

Gordon types 68 words per minute

Step-by-step explanation:

2584/38=68

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