The Chesapeake Bay holds about 18 trillion gallons of water. The bay covers 4,480 square miles or 2,867,200 acres. Each acre can hold 750,000 oysters. Each oyster can filter 50 gallons of water each day. Can there be enough oysters to filter the whole Chesapeake Bay in one day

Answers

Answer 1

Answer:

There are enough oysters

Step-by-step explanation:

Given

[tex]Volume = 18\ trillion\ gallon[/tex]

[tex]Area = 2867200\ acre[/tex]

[tex]1\ acre = 750000\ oysters[/tex]

[tex]1\ oyster = 50\ gallons[/tex]

Required

Determine if there is enough water for a day

We have:

[tex]1\ oyster = 50\ gallons[/tex]

Convert to oysters: multiply both sides by 750000

[tex]750000 * 1\ oyster = 50\ gallon *750000[/tex]

[tex]750000\ oysters = 37500000\ gallons[/tex]

Given that:

[tex]1\ acre = 750000\ oysters[/tex]

So, we have:

[tex]1\ acre= 37500000\ gallons[/tex]

Convert to acre: Multiply by 2867200

[tex]2867200 * 1\ acre= 37500000\ gallons * 2867200[/tex]

[tex]2867200\ acres= 107520000000000\ gallons[/tex]

By comparison:

[tex]18000000000000\ gallons < 107520000000000\ gallons[/tex]

i.e. the volume of water in the bay is less than the capacity of the oysters. Hence, there are enough oysters.


Related Questions

ground of the following nearest tens and Place a 7639. b_4325671​

Answers

Answer:

a)7640

b)4325670

Step-by-step explanation:

when rounding off a number one of the factors to consider is the number before the number you are supposed to round off,if the number is greater than 5 or equal to then you can go ahead and add a 1 to the number you have to round off.but if the number before is less than 5 you just have to leave the number the way it is.in this case for the first question you can see that the tens number is 3 and the number before is greater than 5 so you can add a 1 to the 3 to make it 4, bringing the answer to 7640 the 9 becames a zero..for the second one you can see that the number before the tens number is less than 5 so you can't add a 1 to it leaving the answer as 4325670..

I hope this helps

You flip a coin and roll a six-sided die. What is the
probability of flipping heads and rolling a number greater
than or equal to 5?

Answers

Answer:

The probability of flipping heads is 1/2

The probability of rolling 5 or more is 1/3.

So the total probability is 1/2 x 1/3 , which is 1/6.

Let me know if this helps!

Answer:

1/6

Step-by-step explanation:

The probability of flipping heads is 1/2

The probability of rolling 5 or more is 1/3.

So the total probability is 1/2 x 1/3 , which is 1/6.

A= 12b1+b2h ; solve for b1

Answers

Answer:

b1 = 0, b2 = 0

EXPLICACION

A = 12 b1 + b2 h

A - 12 b1 - b2 h = 0

b2!=0, h = -(12 b1)/b2

42 deliveries in 3 hours = deliveries per hour

Answers

Answer:

14 deliveries per hour

Step-by-step explanation:

42/3

14

The person makes 14 deliveries per hour

Answer:

14

Step-by-step explanation:

42 / 3 = 14

Which expression is equivalent to….

Answers

Answer:

the answer is {2^5}

hope it helps :)

(2^1/2×2^3/4)^2

(2^(2/4+3/4))^2

(2^5/4)^2

2^(5/4×2)

2^(5/2)

√2^5

Answered by Gauthmath must click thanks and mark brainliest

Which
graph shows a dilation?

Answers

Answer:

There are no pictures but the dialtion would be the same figure but in an increased size. If you add pictures I can give you a more definite answer

Answer:

here you go!!

Hope it helps

Pls mark me a brainliest

Step-by-step explanation:

e Reasons Y...
SIVARI Leaming su...
Solve for 2. Round to the nearest tenth, if necessary.
х
K
J
63°
I
PLS HELP

Answers

Answer:

x = .5

Step-by-step explanation:

Since we have a right triangle, we can use trig functions

tan theta = opp / adj

tan 63 = 1/x

x tan 63 = 1

x = 1/ tan 63

x=0.50952

Rounding to the nearest tenth

x = .5

0.4 x 10 =....
1.25 x 10 =
97.465 x10 =​

Answers

Answer:

0.4 × 10 = 4

1.25 × 10 = 12.5

97.465 × 10 = 974.65

whats a common denominator for 3/5 and 3/8

Answers

A common denominator would be 40 (3/5 = 24/40, 3/8 = 15/40)

Answer:

40

Step-by-step explanation:

Two denominator are 5 and 8, we need to find their L.C.F. so since the only common number between 5 and 8 is 1, so,

L.C.F. = 1×5×8 = 40, so common denominator = 40

Jayden travels 13/18 feet in 9/26 seconds. Find the speed of Jayden in feet per second.

Answers

Answer:

Speed = 2 7/81 feet per second

Step-by-step explanation:

Distance travelled = 13/18 feet

Time taken = 9/26 seconds

Find the speed of Jayden in feet per second.

Speed = Distance travelled / Time taken

= 13/18 ÷ 9/26

= 13/18 × 26/9

= (13 * 26) / (18 * 9)

= 338 / 162

= 2 14/162

= 2 7/81 feet per second

Speed = 2 7/81 feet per second

Jayden speed is 2 7/81 feet per second

Which graph represents the function? f(x)=5√x

Answers

Step-by-step explanation:

Since the x is inside of the square root, the x value must be positive. This makes x {0,infinity). Yet, when square rooting x, you should have both a negative and a positive value for y. So, this should be your graph.

HELPPPPPPPP!!!!!!!!!!!!!!!!!

Answers

1)3
2)5/4
3)1
4)3/2
5)1.3
6)4
7)0
8)1
9)7
10)2

Kyrin picked 40 apples from the trees behind his house. Later, he gave two to each of his friends. He only has 8 remaining. How many friends does he have?

Answers

16 friends. solve using the equation 40 - 2x = 8.

Answer:

kyrin had 16 friends

Step-by-step explanation:

40 - 2 (x) = 8 make x as friends

- 2x = 8 - 40

- 2x/ - 2 = - 32/ -2

x = 16

Is 6272 a perfect square? If not find the smallest number by which it must be divided so that the product becomes a perfect square.

Answers

Answer:

(2^7)*(7^2)

Step-by-step explanation:

2*2*2*2*2*2*2*7*7=6272where2 is the smallest number by which it becomes a perfect square

An item is regularly priced at $95. It is on sale for 85% off the regular price.

Answers

Answer:

14.25

Step-by-step explanation:

95*0.85=80.75

95-80.75=14.25

Answer:

The sale took $14.25 off the original price, so the item is currently $80.75 with the sale.

Find the cross product (7,9, 6)x 44, 1, 5). Is the resulting vector perpendicular to the given vectors?
a. (-57, 43, 33); yes
c. (33. – 59, - 57); no
b. (39, – 59,43), yes
d. (33, - 57, 49); no

Answers

Answer:

Option B, (39, -59, 43)

Answered by GAUTHMATH

The difference of a number and 11

Answers

Answer:

x - 11

Step-by-step explanation:

"A number" is the same thing as a variable.

Answer:

x-11

Step-by-step explanation:

PLEASEE HELP ASAP........

Answers

Answer:

(C). 126

Step-by-step explanation:

[tex]\frac{45}{x}[/tex] = [tex]\frac{65}{182}[/tex]

x = 126

Answer:

Hello,

Answer C\\

Step-by-step explanation:

Triangle EUT is similar to triangle EGF

[tex]\dfrac{EU}{EG} =\dfrac{ET}{EF} \\\\\dfrac{140-90}{140} =\dfrac{45}{EF} \\\\\\EF=\dfrac{45*140}{50} \\\\\\RF=126\\\\Answer\ C\\[/tex]

You would like to know how effective a diet program is at helping people lose weight. 18 over-weight people are randomly selected to participate in the program. They are weighed before and after the program and the results are listed below. Do these results give evidence that the diet program is effective at the 1% significance level?

Answers

Answer:

There is not enough evidence to support the claim that drug is effective at 1%

Step-by-step explanation:

For this we use the pored test as we have dependent test;

Difference :

10,5,-5,3,-3,4,2,-3,0,10,8,-2,3,-2,5,5,4,0

Hypothesis :

H0 : μd = 0

H0 : μd ≠ 0

The mean of d, dbar = Σd / n = 44 / 18 = 2.44

The standard deviation, Sd = 4.45 (using calculator)

The test statistic, T : dbar / (Sd/√n)

T = 2.44 / (4.45/√18)

T = 2.44 / 1.0488750

T = 2.326

Degree of freedom, df = n - 1 ; 18 - 1 = 17

The Pvalue = 0.0326

α = 0.01

Since Pvalue < α ; we fail to reject H0

PLS HELP ME
Given that the universal set.
U = {X : 30 ≤ X ≤ 40. X is an even number}.
P = {X : X is a multiple of 4}
and Q = {X : X is a number such that the sum of its digits is an odd number}.
find n(P∩Q')

A. 1
B. 2
C. 3
D. None of the above​

Answers

Given that

U = {X : 30 ≤ X ≤ 40. X is an even number}.

so Mathematically

U = {30,32,34,36,38 40}.

P = {X : X is a multiple of 4}

P = { 4,8,12,16,20,24,28,32,36,40,44,........}

and Q = {X : X is a number such that the sum of its digits is an odd number}.

Q = {12,14,16,18,21,23,25,27,29,30,32,34,36,38,41,43,45,..........}.

(Q')= U-Q  ={40}

(P∩Q')= {40}

n(P∩Q')= 1

(Q') is Q complement which means a set containing those elements of the universal set which are not element of the set Q.

(P∩Q') is a set containing those elements of set P and Q complement which are common to both sets.

n(P∩Q') denotes the number of elements in a set containing those elements of set P and Q complement which are common to both sets which  has only 1 element which is 40.

So the best answer is part A = 1.

https://brainly.com/question/11439790

https://brainly.com/question/13729460

helpppp: write the rule that describes the composition of transformations

Answers

omg i need help on tht too

find the lenght of the missing side:

Answers

Answer:

x=15.73292

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos 70 = x / 46

46 cos 70 =x

x=15.73292

Answer:

15.73

Step-by-step explanation:

cos(x) = adjacent leg / hypotenuse

cos(70) = x / 46

0.342 = x / 46

0.342 x 46 = x

x = 15.73

Jillian bought 3 pounds of apples for $3.09 per pound. she then bought 6 pounds of peanuts for $0.87 per pound. How much did Jillian spend all together?

Answers

Answer:

Jillian spent $14.49 altogether.

Step-by-step explanation:

Let a = pounds of apples, p = pounds of peanuts, and t = total cost

t = 3.09a + 0.87p

t = 3.09(3) + 0.87(6)

t = 9.27 + 5.22

t = 14.49

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The data value that occurs most often in the data set is the ____________.
A. mean
B. median
C. mode
D. range

Answers

The answer is C. Mode
ANSWER: Mode (C)

EXPLANATION:
In order to understand which one of these mean the data value the occurs the most, you need to know the definition for these basic math terms.

Mean= Average of All Numbers Given
Median= Middle Number (From Least to Greatest)
Mode= Number That Occurs the Most
Range= The Subtraction of the Smallest Number to the Biggest Number

Given the function g(x) = x2 + 10x + 18, determine the average rate of change of
the function over the interval -11 < x < -1.

Answers

Answer:

-2.

Step-by-step explanation:

Average rate of change of the function = [ f(-1) - f(-11)] / [(-1 - (-11)]

= [(-1)^2 + 10*-1 + 18 - ((-11)^2 + 10*-11 + 18)] / 10

= (1 - 10 + 18 - (121 - 110 + 18) / 10

= (9 - (29) /10

= -20/10

= -2.

Answer:

Step-by-step explanation:

The answer is +2 or 2.

Decide which kind of change(s) is/are illustrated in each equation
(meaning changed from "regular" y=sinx or y=cosx)
→ Note: more than once choice may be circled per question.

Answers

Phase shift and period change

Rewriting the equation:

y = cos ( 2 ( x - 2 ) )

Phase shift 2 units to the right

Period changed to 2pi/2 = pi

name the property that the following statement illustrates 84+8=8+84

Answers

Answer:

the commutative property of addition :)

Samuel takes 5 hours to make a table and a chair. He takes 9 hours to make 3 chairs
and a table. How much time does he take to make a table?

Answers

Answer:

3 hours

Step-by-step explanation:

t = time to make a table

c = time to make a chair

t + c = 5

t+3c = 9

Subtract the second equation from the first

t+3c = 9

-(t + c = 5)

-----------------------

       2c = 4

Divide by 2

2c/2 = 4/2

c =2

2 hours for the chair

t+c = 5

t+2 = 5

t = 5-2

t = 3hours

Answer:

It takes 3 hours to make a table.

Step-by-step explanation:

Table and chair : 5 hours

Table and 3 chairs : 9 hours

(Table and 3 chairs) - (Table and chair) = (2 chairs)

9 hours - 5 hours = 4 hours

2 chairs : 4 hours / 1 chair : 2 hours

Table and chair : 5 hours

Chair : 2 hours

Table: x hours

5 - 2 = 3

Table : 3 hours

Which of the following is an irrational number
o 18
o 2.6
o π
o -16/3

Answers

Answer:

pi

Step-by-step explanation:

A rational number can be written as a fraction

18/1 is a fraction

2.6666666 can be written as 2 2/3 = 8/3

-16/3 is a fraction

pi is a non repeating non termination decimal which is irrational

Answer:

The answer is π

Step-by-step explanation:

An irrational number is a type of real number which cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio.

find LCM of 60,40 and 90​

Answers

Answer:

Step-by-step explanation:

Prime factorize.

60 = 2 *2 * 3 * 5     = 2² * 3 * 5

40 = 2 * 2 * 2 *5     = 2³ *       5

90 = 2 * 3 * 3 * 5    = 2 * 3² * 5

LCM = 2³ * 3² * 5 = 8 * 9 * 5 = 360

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