An aquarium contained an equal number of horseshoe crabs and sea stars. After 15 horseshoe crabs were removed and 27 sea stars were removed, the ratio of horseshoe crabs to sea stars was 5:3. How many horseshoe crabs and sea stars were there at first? Solve this problem and explain your reasoning.

Answers

Answer 1

Answer:

45 horseshoe crabs and 45 sea stars

Step-by-step explanation:

The aquarium initially contained x crabs and x sea stars.

"After 15 horseshoe crabs and 27 sea stars are removed the ratio of horseshoe crabs to sea stars is 5:3"

(x-15):(x-27) = 5:3

(x-15)/(x-27) = 5/3

3(x-15) = 5(x-27)

3x-45 = 5x-135

90 = 2x

x = 45


Related Questions

What is the total interest earned in two years on an account containing $500 at 3.5% interest, compounded annually?

Answers

Answer: $35.6125

Step-by-step explanation:

3.5% = 0.035

Let's find the deposit amount with interest at the end of the first year:

500 + 500 · 0.035 = 517.5

Let's find the amount of the deposit with interest at the end of the second year:

517.5 + 517.5  · 0.035 = 535.6125

Find the total interest earned over two years:

535.6125 - 500 = 35.6125

the figure shows the dimension of a city park in feet what is the area of the park?

A 968 ft2

B 1,088 ft2

c 1,208 ft2

d 73,084
i need help on this one ​

Answers

The answer would b C. 1,208 ft2

Cooper measured the lengths of 10 buttons to the nearest centimeter.The lengths of the buttons were 4,6,4,3,5,6,5,4,3, and 6 centimeters

Answers

Cool nothing for me to answer

what is the variable in the expression 3y+8​

Answers

The variable: is y

The variable is y




2. Write and solve an equation for each situation.
Justin and Marcus went for a bike ride. Together they rode a total of 28.6 miles. If Justin rode 14.4
miles, how many miles (m) did Marcus ride? * help plz

Answers

Answer:

14.2 miles

Step-by-step explanation:

14.4 + m = 28.6  is your equation

Then subtract 14.4 from both sides

m = 14.2

If the movie theater seats 328 people, what is the maximum amount of money the theater can bring in during a show?​

Answers

Answer:

how much money does it cost for one person??

don’t understand, plz explain very urgent

Answers

Basically you have to use trigonometry to solve this. You will be using a sine ratio. Type sin-1(36/43). Use the 2nd button to do this. Your answer should be 56.84659158 but round to 57.

what 30 x 23 30 x 23

Answers

30 x 23 = 690

23 x 30 = 690

Answer: 690

Step-by-step explanation:

Now whats 34+35?

Which expression is equivalent to z2 + z + 4z3 + 4z2 ?
Group of answer choices

A.No answer text provided.

B.5z

C.4z3 + 5z2 + z

D.4z3 + 5z2

E.9z2 + z

Answers

I know the answere it is c

The deminsions of a rectangler prism are 5cm, 6cm, and Xcm. Its surface area is 148 cm2. Find the other deminsion.​

Answers

Answer:

The other dimension is x=4 cm

Step-by-step explanation:

Surface Area of a Rectangular Prism

Given a rectangular prism of dimension x, y, and z. Its surface area is calculated with the formula:

A = 2(xy + yz + xz)

We are given the dimensions y=5 cm and z=6 cm. We also have A=148 cm2. Substituting:

148 = 2(x*5 + 5*6 + x*6)

Dividing by 2:

74 = x*5 + 5*6 + x*6

Operating:

74 = 5x + 30 + 6x

Simplifying:

74 = 11x + 30

Subtracting 30:

44 = 11x

Dividing by 11:

x = 4 cm

The other dimension is x=4 cm

A right triangle and some of its measurements are shown in this diagram. Based on the measurements shown in the diagram, what is the value of T? HELP HELP GOD IMMA FAIL PLZ THIS IS URGENT

Answers

Answer:

t = 6√3 mm

Step-by-step explanation:

The angles of the triangle are 30°, 60°, and 90°. That's lucky for you, because the sides of a 30°-60°-90° triangle are always in the ratio 1:√3:2

The side opposite the 90° angle is 12 mm, so the side opposite the 30° angle is 12/2 = 6 mm

t = side opposite the 60° angle = 6√3 mm.

The value of T is 6√3.

What is Trigonometry?

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have,

Hypotenuse = 12 mm

Using Trigonometry

sin 60 = P/H

√3/2= P/12

12√3/2= P

P= 6√3

Thus, the value of T is 6√3.

Learn more about Trigonometry here:

https://brainly.com/question/29002217

#SPJ2

Amanda and her brother, Brian, are making chocolate milk. Amanda mixes 1 ounce of chocolate syrup and 6 ounces of milk in her cup. Brian mixes 2 ounces of chocolate syrup and 10 ounces of milk in his cup. Whose milk is more chocolaty?

Answers

Answer:

Brians milk is more chocolaty

Step-by-step explanation:

At a football game, 35% of people attending were supporting the home team, while 65% were supporting the visiting team. If 455 people attending the game supported the home team, what was the total number of people attending the game? Help me plz:))

Answers

Answer:

1300

Step-by-step explanation:

help loll i’m confused

11. Silvaro borrowed $89.40 from his brother. He determines that he can pay him back
in six weeks. What effect will Silvaro's repayment have on his weekly bank account?

Answers

Answer: 14.90$ weekly deduction

Step-by-step explanation:

Answer:

$14.9 deduction

Step-by-step explanation:

Silvaro borrowed $89.40 from hsi brother

Silvaro decided that he will pay him back the money in six months of allowance.

Therefore the effect of the payment in his bank account can be calculated as follows.

= $89.40/6

= $14.9

Hence the payment will have a deduction of $14.9 from his monthly bank account

Hope it helps and if it does mark me brainliest.

3
What is the solution to the equation 9x = 54?
x = 6
B) x = 7
C
X = 8
x = 9

Answers

Answer:

6

Step to Step:

9x6=54

Answer:

Option A

Step-by-step explanation:

In order to find the answer to this equation you must remember to divide if there is a variable right next to the number.

[tex]9x=54[/tex]

[tex]\div9[/tex]

[tex]54\div9=6[/tex]

[tex]x=6[/tex]

Hope this helps.

Kelly wants to buy cupcakes for her family. The radius of the cupcake is 12
inches, what is the distance around the cupcake? *
Your answer

Answers

Answer:

75.4 inches

Step-by-step explanation:

circumference = 2πr = 24π ≅ 75.4 inches

It's really more of a tubcake than a cupcake.

3 days 22 hours equals how many hours

Answers

Answer:

94 hours

Step-by-step explanation:

3 days = 3×24 =72total hours= 72 + 22 = 94

r=26 in. find the diameter.

Answers

Answer:

see

Step-by-step explanation:

diameter=2×pi×r

diameter. 2.22/7.r

11 more than x is less than. 3 (please)

Answers

Answer:

(11+x)-3

Step-by-step explanation:

11 more than x is another way of saying 11+x

And "less than 3" means subtracting 3 from the terms

So if you put that together it would be

(11+x) -3

When the American Idol competition was down to the final two contestants, the winner was ahead of the second-place finisher by $12$ million votes. If the total number of votes was $90$ million, how many votes did the winner get?

Answers

Answer:

I know you go to aops...

Step-by-step explanation:

First show your thinking before you ask others how to solve a problem, and ASK YOUR TEACHER FOR HELP!!

Jeffrey needs $200 to buy a new iPod. Right now, he has $75. What percent of the $200 does he have?


PLEASE HELPPP

Answers

Answer:

40%

Step-by-step explanation:

Answer:

If you need help on further questions like this, divide what he has to what he needs or his goal

in order to get 37.5% you have to divide 75/ 200

You will get 0.357 and that is 37.5% this is ABOUT 40% but I reccomend putting 37.5% to be safe.

can you guys please help me

Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Each vertex has a single-letter label.

Each edge joins two vertices, and is named by naming those two vertices.

Each polygon is named by listing the vertices at its corners. It is a plane figure.

The base is the polygon opposite the point where all of the triangles come together.

__

16. figure: pentagonal pyramid ABCDEF

17. base: ABCDE

18. faces: ABF, BCF, CDF, DEF, AEF, ABCDE (the bottom face, or base)

19. edges: AB, BC, CD, DE, AE, FA, BF, CF, DF, EF

20. vertices: A, B, C, D, E, F

ntify each function if it is a polynon
1) P(x) = 5x +5x2+7​

Answers

P(x) = 5x² + 5x + 7

"This is a polynomial because it is a 2nd degree trinomial or quadratic".

"Poly: meaning many, and nominal: meaning terms, combine to form the expression: "many terms".

A polynomial is a combination of terms separated by
+
+
or

-
signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms.
Polynomial

Define/explain the Pythagorean theorem.

Answers

Answer: The Pythagorean theorem consists of a formula a^2+b^2=c^2 which is used to figure out the value of (mostly) the hypotenuse in a right triangle. It's a fundamental relation in Euclidean geometry among the three sides of a right triangle.

Step-by-step explanation:

Answer:

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.

Pls help me jenejfnnfnwndndbenjwjdndnwkjs

Answers

19 in is less than 2yrds and 4in.

Answer:

I have no clue

Step-by-step explanation:

HAHA

In a bag there are 3 red marbles, 2 yellow marbles, and 1 blue marble. What is the percent chance of a yellow marble being selected on the first draw?
Group of answer choices

Answers

Answer:

33.333333% (the 3 goes on forever)

What is the slope of the line below?
(5,5)
(5,-2)
A. zero
B. negative
C. undefined
D. positive

Answers

Answer:

Undefined

Step-by-step explanation:

Vertical lines cannot be functions, since they yield multiple y-values for one single x-value.

hi to u famous girl !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

YEET

Step-by-step explanation:

Answer:kuktf

Step-by-step explanation:

oh;f' 'h

'd5r6sxfh;jhp

A group of 28 students wants to go on a bus trip. The cost of the bus is $220. $94 dollars will be paid by one parent and the rest of the cost will be paid for by the students. Select the correct equation to represent this scenario from the options below. Group of answer choices LaTeX: 28x+94=22028 x + 94 = 220

LaTeX: 28x-94=22028 x − 94 = 220

LaTeX: 94x+28=22094 x + 28 = 220

LaTeX: 94x=22094 x = 220

Answers

Answer:

c

Step-by-step explanation:

What is the quotient of 6.16 divided
by 1.1?

Answers

Answer:

5.6

Step-by-step explanation:

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