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

Hal earns n dollars per hour. Next month he
will receive a 296 raise in pay per hour. The
expression n +0.02n is one way to represent
Hal's pay per hour after the raise Write an
equivalent simplified expression that will
represent his pay per hour after the raise.

Answers

Answer:

[tex]Total = 1.02n[/tex]

Step-by-step explanation:

Given

[tex]Earnings = n[/tex]

[tex]Raise = 2\%[/tex] --- not 296

[tex]Total = n + 0.02n[/tex]

Required

Simplify the expression for total earning

The total amount is derived from:

[tex]Total = Earnings + Raise * Earnings[/tex]

[tex]Total = n + 2\% * n[/tex]

Express percentage as decimal

[tex]Total = n + 0.02 * n[/tex]

Now, we can solve further:

[tex]Total = n + 0.02n[/tex]

[tex]Total = 1.02n[/tex]

Hence, the simplified expression is 1.02n

Answer:

1.02n

Step-by-step explanation:

If the radius of a circle is 3.5 cm, what is the diameter?

Answers

Answer:

7

Step-by-step explanation:

The diameter is twice the radius, and 2(3.5) = 7.

PLS HELP! WILL GIVE BRAINLIEST!

A test is worth 60 points. Multiple choice questions are
worth 2 points, and
short-answer questions are worth 5 points. If the test has
15 questions, how
many multiple-choice questions are there?

A. m+ s = 60
B. m+ s = 15
C. m:s= 15
D. 2m + 5s = 15

Answers

Answer:

2m + 5s = 15

I hope it helps.

have a great day.

Evaluate the expression when x = 28 and y=5. x-3y​

Answers

Answer:

13

Step-by-step explanation:

Substitute x for 28 and y for 5:

(28) - 3(5)

28 - 15

13

Which type of loan is similar to a credit card, where the lender sets the
maximum amount that you can borrow based on your equity in the home?
A. Equity
B. A second mortgage
O c. An amortization
D. An equity line of credit

Answers

Answer: B

Step-by-step explanation:

Answer:

A second mortgage

MATH SEND HELP THANKS BAES

Answers

alternate interior:
4,5 and 3,6
alternate exterior:
1,8 and 2,7
same side interior:
4,6 and 3,5
corresponding angles:
1,6
2,5
4,7
3,8
:)

PLEASE HELP ASAP!!!!!!! Which expression is equivalent to the expression m divided by n, where m and n are integers and n≠0
A) −m/n
B) m/−n
C) −m/−n
D) −(−m/−n)

Answers

The answer D seems to be correct
I was on Brainly and it is b

katie is using fabric to create skirts for her friends each skirts uses 5/6 a yard of fabric how much fabric does she need to create 9 skirts​

Answers

Answer:

10.8

divide 9 by 5/6

Write an equation of the line passing through the given points.
(3,-25) and (-3,5)

y=

Answers

Answer:

y = -5x -10

Step-by-step explanation:

This is the slope-intercept form:

[tex]y-y_{1} = m(x -x_{1})[/tex]

First, we look for the slope. The slope is found by using the equation:

[tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1}}[/tex]

[tex]m = \frac{5 - (-25)}{-3 - 3} = \frac{30}{-6} = -5[/tex]

m = -5.

Now, given the two points, our y₁ is -25, and our x₁ is 3. Therefore, we substitute these values into the equation, and get:

y - (-25) = -5(x - 3)

y + 25 = -5(x - 3)

y + 25 = -5x + 15

y = -5x + 15 -25

y = -5x -10

Answer:

the answer to the problem is y= -5x - 10

Graph y=2x -7 NEED HELP

Answers

Answer:

Step-by-step explanation:

2. Which expression is equivalent to 5-(-8)?
A (-5) + 8 B 8+5
C 8-5
D 5-8

Answers

B) 8+5
because when to negatives are together it forms a positive
B - 8+5 because two negatives make a positive

An equation is modeled.



What value of x makes the equation true?
(MATH HELP) 7TH GRADE MATH

Answers

Answer:

c

Step-by-step explanation:

(-1)x5= -5

-5+6=1

Answer:

The answer is C.

Step-by-step explanation:

CAN SOMEONE PLEASE HELP

Answers

Step-by-step explanation:

The answer is down here

1. 8

2. 2

3. b

4. f

heeeeeeeelppppppppppppp
plz
plz
i will mark you brill please just if you help

Answers

Use the picture for reference, label all the numbers down 1-23, and for each number that is on the list put a dot, so for number 1 it would have 2 dots above it because there are 2 number 1’s in the list. And so on.
The answer is in the image I have attached, hope it helps.

1) Find the x-coordinate of the vertex, y-coordinate of the vertex, and the z-
intercepts.
y= 22 +42-5
3-coordinate of vertex f
y-coordinate of vertex c
* -intercepts d
a. = 5:0 = -1
b. -5 = 1
c. 2
d. 7
e. -2
f. -9

Answers

Answer:

b is the answer i think

Step-by-step explanation:

I learned this at some point

help pls ! ASAP
Erin recycles milk bottles, soda cans, and newspapers. If the following items are in the trash bin, what percent of the items can be recycled?
6 milk bottles, 1 banana peel, 4 newspapers, 4 soda cans, 5 apple cores

A.
40%
B.
14%
C.
100%
D.
70%

Answers

Answer:

i think its 70 percent

Step-by-step explanation:

If the triangle has a base length of 8in and a total area of 32 in what is the height

Answers

Your answer would be 8.
When finding the area of a triangle, the formula is half the base times the height. 8x8=64, 64/2 is 32. PLEASE MARK BRAINLIEST IF I HELPED
The height will be 8.

The formula for area of a triangle is 1/2(b x h).

If you do 8 x 8, you get 64 and half of 64 is 32.

Hope this helps! :(

Encuentra las soluciones de las siguientes ecuaciones:
a) 8x -(2-3x) = 18
b)12-(4x - 6) = 5x
c)4. (x + 3) - (1 - x)= 1
d)3. (2x - 1) +21=5. (3x - 2) + 1
e)-2(x + 6) + 2 = -4- (10-2x)​

Answers

Answer:

20

Step-by-step explanation:

Step-by-step explanation:

a.27.9

b. -13

Find the value of x so that the ratios are equivalent.
3:x and 12:40
X=
help pls

Answers

Answer:

10

Step-by-step explanation:

Divide both sides by 4


Somebody pls help I need help wit my homework!!!!

Answers

Step-by-step explanation:

(3,4) would be the answer

find x. and rounddddd

Answers

Answer:

X=117.9

Step-by-step explanation:

I got itttt

Hi can you please help me with #11, & 12? Please show all your work.
Thank you in advance

Answers

9514 1404 393

Answer:

  11.  (-4, -1)

  12.  (2, 7)

Step-by-step explanation:

The midpoint is the average of the end point coordinates. For segment AB, the midpoint M is ...

  M = (A+B)/2

If you have A and M, you can find the other end point B from ...

  2M = A+B . . . . multiply the above equation by 2

  B = 2M -A . . . . subtract A from both sides

__

11. The midpoint (M) is ...

  M = ((-1, 2) +(-7, -4))/2 = (-1-7, 2-4)/2 = (-8, -2)/2

  M = (-4, -1)

__

12. The missing end point is ...

  Z = 2Y -X

  Z = 2(-4, 8) -(-10, 9) = (2(-4)+10, 2(8) -9)

  Z = (2, 7)

please help me im in deep need

Answers

Answer:

Its C

Step-by-step explanation:

because N and O would have been numerators but they are denominators

guys u realy need help on this pls

Answers

Answer:

x>9

Step-by-step explanation:

[tex]7-\frac{2}{3} x[/tex]<x-8

21-2x<3x-24

5x>45

x>9

Yeah- I need help please
-3r - 13

r = 2

Answers

Answer:

The answer should be -19

Step-by-step explanation:

-3r - 13 = ?

-3(2) - 13 = ?

-6 - 13 = ?

-19 = ?

Please help me on this or give me the answer!

Answers

Answer:

i agree with he or she they are correct as well

Step-by-step explanation:

If an organism has 35% of cytosines, how
many adenines will it have?
35%
15%
25%

Answers

Answer:

Unknown

Step-by-step explanation:

Since you have 35 C, you will have 35 G. Without knowing the number of thymine, the number of adenine is unknown .

That is all the information you can get from this. Just because there are 35 C and G, there doesn't have to be an equal number of A and T

Answer: 15%

Step-by-step explanation: I just did it

The table shows interest owed for a home improvement loan based on how long it takes to pay off the loan.

a. How much more interest is owed on $900 (ignore the AED) for 9 months than for 6 months?

b. Does the interest rate increase at a constant rate?

(Please answer quick! Don't go to other answers and copy and paste or put something that isn't even about this, I really need help! Thank you.)

Answers

Answer:

its soooooooo long make it shorter i need toknow it shorter

Step-by-step explanation:

3/5 TIMES 1/2 WHOEVER ANSWERES IN UNDER 2 MINUTS I WILL MARK BRAINLIEST AND ILL GIVE YOU EXTRA POINTS

Answers

Step-by-step explanation:

3/10 or 0.3

hope it helps:))!

Answer:

0,3

= 3/10

Step-by-step explanation:

thank you

i hope this helps

9. To fill up his fuel tank, Sam puts in 16.8 gallons of gas at $3.90 per gallon. How much does Sam spend on fuel? Round to the hundredths place.

Answers

Answer:

$65.52

Step-by-step explanation:

y = mx + b

y = amount spent on fuel = ?

m = price per gallon = $3.90

x = gallons  = 16.8

b is not needed for this problem

y = (3.90)(16.8)

y = $65.52

The amount of money that Sam spends on fuel will be $65.52.

What are ratio and proportion?

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

To fill up his fuel tank, Sam puts in 16.8 gallons of gas at $3.90 per gallon.

The amount of money that Sam spends on fuel will be given by the multiplication of the numbers 16.8 and 3.9.

⇒ $3.90 x 16.8

⇒ $65.52

The amount of money that Sam spends on fuel will be $65.52.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ2

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