A fisher caught a large boat load of salmon. She decided to donate some of his fish to the local community, 1,672 people in all. To each person over the age of 50 she gave 16 fish and to each person under 50 she gave 96 fish. Only 3/4 of the over 50s collected their salmon and only 1/8 of the under 50s collected their fish. How many fish did the fisher distribute it total

Answers

Answer 1

Answer:

74 fishes

Step-by-step explanation:

Total number of people = 1672

Let us represent:

Number of people over the age of 50 = a

Number of people below the age of 50 = b

People over the age of 50 she gave = 16 fish

People below 50 she gave = 96 fish. Only 3/4 of the over 50s collected their salmon

= 3/4a collected fish = 0.75a

If a should collect = 96 fishes

0.75a =

Cross Multiply

=0.75a × 96 fishes/ a

= 72 fishes

Therefore, 3/4 of the over 50s collected 72 fishes.

1/8 of the under 50s collected their fish.

= 1/8b collected fish = 0.125b

If b people should collect = 16 fishes

0.125b people =

Cross Multiply

0.125b × 16 fishes/b

= 2 fishes.

Therefore, the total number of fishes shared

= 72 fishes + 2 fishes

= 74 fishes


Related Questions

Round 6.09933418366 to 4 decimal places

Answers

Answer:

6.113 i believe to be so

The decimal number is 6.0993 to 4 decimal places.

What is decimal?

Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point.

Given:

A decimal number,

6.09933418366.

To round off to 4 decimal places,

6.0993.

Therefore, the value is 6.0993.

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The standard deviation of the sampling distribution of the sample mean is $115,000. The population standard deviation was $25,000. A random sample of 100 new home sales from this city was taken. What is the probability that the sample mean selling price was between $114,000 and $116,000?

Answers

Answer:

0.31084

Step-by-step explanation:

When given a question where by a random sample is chosen for the population, the z score formula used =

z = (x-μ)/Standard error

where x is the raw score

μ is the population mean

Standard error = σ/√n,

σ is the population standard deviation

n = number of samples

For x = $114,000, μ = $115,000, σ = 25,000, n = 100

z = (x-μ)/Standard error

= z = (x-μ)/ σ/√n

z = 114,000 - 115,000/ 25,000/√100

= -1000/25,000/10

= -1000/2500

z = -0.4

Determining the probability value from Z-Table:

P(x = 114000) = P(z = -0.4)

= 0.34458

For x = $116,000, μ = $115,000, σ = 25,000, n = 100

z = (x-μ)/Standard error

= z = (x-μ)/ σ/√n

z = 116,000 - 115,000/ 25,000/√100

= 1000/25,000/10

= 1000/2500

= 0.4

Determining the Probability value from Z-Table:

P(x = 116000) = P(z = 0.4)

= 0.65542

The probability that the sample mean selling price was between $114,000 and $116,000 is calculated as

= P(114,000< x < 116,000)

= P(-Z<x<Z)

= P(-0.4<x< 0.4

= 0.65542 - 0.34458

= 0.31084

Therefore, the probability that the sample mean selling price was between $114,000 and $116,000 is 0.31084

Which tribe uses irrigation, so that they can grow crops and maintain their sedentary lifestyle? Apache Caddo Karankawa Jumano

Answers

Answer:lo estoy haciendo

Step-by-step explanation:

A dealer advertises that a certain brand of tire averages 50,000 miles of use before needing to be replaced. Testing this claim, an investigator finds that a sample of 19 randomly selected tires from this dealer had an average lifespan of 48,700 miles with a standard deviation of 4,500 miles. Assume tire life spans are approximately normally distributed. At the α = 0.05 level, find if the investigator can prove the dealer is exaggerating the average lifespan of their tires by performing the hypothesis test.

Answers

Answer:

100k miles

Step-by-step explanation:

Round the decimal 0.334 to the underlined place

A. 1
B. 0
C. 0.3
D. 0.4

Answers

Answer:

its 0.3

Step-by-step explanation:

how i found it is by reading the lesson dude

The answer are:

0.334 = 0.3

0.334 = 0.33

0.334 = 0.334  

Given,

0.334

We need to round to the underline place.

The underline is not given here so we will assume:

0.334

0.334

0.334

What is the place value of a decimal number?

Example:

245.678

2 - hundreds

4 - tens

5 - ones

6 - tenths

7 - hundredths

8 - thousandths

We have,

0.334

Here the underline is in tenth place.

Rounding to tenth place

we get,

0.3

0.334

Here the underline is in the hundredths place

Rounding to the hundredths place

we get,

0.33

0.334

Here the underline is in the thousandth place

Rounding to the thousandth place

we get,

0.334

Thus,

0.334 = 0.3

0.334 = 0.33

0.334 = 0.334  is our answer.

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If f(x)=-3x-2, find f(-2)+9

Answers

Answer:

13

Step-by-step explanation:

Replace the variable x with -2 in the expression.

f (-2) = -3 x -2 -2

Simplify (-3 x -2 -2) + 9

Multiply -3 by -2

6 - 2 + 9

Subtract 2 from 6

4 + 9

add 4 and 9

13.

The required simplified value of the function [tex]f(-2) + 9[/tex] as is 13.

Given that,
f(x) = -3x - 2
To determine
[tex]f(-2) + 9[/tex]

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given function f(x) = -3x - 2
Put x = -2 and add the function with 9
= [tex]f(-2) + 9[/tex]
= -3(-2) -2 + 9  
= 6 - 2 + 9
= 13

Thus, the required simplified value of the function as [tex]f(-2) + 9[/tex] is 13.

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Evaluate f(-3) when f(x) = x + 7

Answers

Steps to solve:

f(-3) = x + 7

~Substitute

f(-3) = -3 + 7

~Simplify

f(-3) = 4

Best of Luck!

What the ratio of 7:3

Answers

Hey there!

ANSWER: [tex]14/6[/tex]EXPLANATION:

Ratio of [tex]7:3[/tex]

If you want to get the ratio, you should multiply the numerator(7) and denominator(3) by 2.

[tex]7*2=14(Numerator)\\3*2=6(Denominator[/tex]

So your answer is:

[tex]14/6(ANSWER)[/tex]

Hope this helps!

[tex]-TestedHyperr[/tex]

Solve for the indicated variable. ax + r = 6 for r

Answers

Answer:

r = 6-ax

Step-by-step explanation:

[tex]ax + r = 6[/tex]

Isolate r ;

[tex]r = 6 - ax[/tex]

I can’t get any of these help me plsss

Answers

Answer: C

Step-by-step explanation:

The difference between an equation and expression is the equals sign. A simple way to tell of an expression is an equation is if there is an equal sign. If there is an equal sign, then it is an equation. If not, it is an expression.

Since this problem is asking for expression, it would be easiest to find an answer choice that doesn't include the word "_____is _____". This is a way to say _____ is equal to ____.

Let's go through each of the answer choices and write the equation/expression for it.

A. Equation

(4+x)/2=12

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

B. Equation

p-1=14

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

C. Expression

3c-9

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

D. Equation

9m=36

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

There is no indication that the expression is equal to anything, therefore C is the correct answer.

170% converted to a fraction equals.

Answers

Answer:

17/10

Step-by-step explanation:

Can anyone help me out with this please!

Answers

Answer:

[tex]h(x)=\frac{1}{4}|x|[/tex]

Step-by-step explanation:

In order to vertically stretch a function, we just need to multiply the function by our stretch factor.

So, we have the function:

[tex]g(x)=|x|[/tex]

We want to find the equation of this function vertically shrunk by a factor of 1/4. So, multiplied the function by 1/4:

[tex]h(x)=\frac{1}{4}|x|[/tex]

And this will be our answer :)

Jenny ran in four races that totaled 18.5 km. The length of the first three races are

Race #1: 5 km

Race#2: 4.5 km

Race #3: 5.5 km

How far in km did Jenny run in race#4?

Answers

Jenny ran 3.5 Km in race 4

if JL=10x-2, JK=5x-8, and KL=7x-12, find KL

Answers

Answer:

-84

Step-by-step explanation:

multiply 7 and -12

English
Math 7
Which table does not represent a proportional relationship?

Answers

Where’s the table?????

The numerical values of the area and the perimeter of a square field are in the ratio 5:2, while that of a square park are in the ratio 3:1. What is the positive difference between their areas?

Answers

Answer:

44

Step-by-step explanation:

If side = a

Then:

A = a², P = 4a  for area and perimeterA/P = a²/4a = a/4 for are/perimeter ratio

The first case:

a/4 = 5/2 ⇒ 2a = 20 ⇒ a = 10 ⇒ a² = 100

The second case:

a/4 = 3/1 ⇒ a = 12 ⇒ a² = 144

Difference between areas:

144 - 100 = 44

6. A chemist wishes to make 5 liters of an 7% acid solution by mixing a 10% acid
solution and a 5% acid solution. How many liters of each solution the chemist have to
use? Make a table with relevant quantities and show all steps.

Answers

Answer:

The chemist will mix 3 liters of the 5% acid solution and 2 liters of the 10% acid solution to get 5 liters of 7% acid solution

Step-by-step explanation:

Here, we are interested in finding the number of liters of each solution the chemist have to make use;

Let the number of liters of the 5% acid solution be x while the number of liters of the 10% acid solution be y

Mathematically;

x + y = 5 •••••••••(i)

Also, let’s work with the percentages now

( x * 5%) + (y * 10%) = (5 * 7%)

0.05x + 0.1y = 0.35 ••••••••(ii)

From i , x = 5-y

Substitute this into ii

0.05(5 -y) + 0.1y = 0.35

0.25 - 0.05y + 0.1y = 0.35

0.25 + 0.05y = 0.35

0.05y = 0.35 -0.25

0.05y = 0.1

y = 0.1/0.05

y = 2

But x + y = 5

x + 2 = 5

x = 5-2

x = 3

4 thousandths times 3

Answers

Answer:

12000

Step-by-step explanation:

4000 4000 4000 =heheheheheh

Answer:

.00012

Step-by-step explanation:

UH I just did the basic standard algorithm. .0004 x 3 . Pretend there's no decimal then times it then YUh. SOrry I am not good at explaining unu

Use the graph shown to fill in the blank. When x = -3, then y =

Answers

Hey there! I'm happy to help!

We basically want to see what value of y value of the line is at when it crosses x=-3.

If you go to -3 on the x-axis and draw a line straight down, you will see that you hit the line at (-3,-6), so the y value is -6.

Have a wonderful day! :D

The model at right best represents what percent?



The model is 65/100 but what is the percent of it?​

Answers

Answer:

The answer would be 65%

Answering a question asked 2 months ago...

65/100 = 65%

what is the absolute value of -13

Answers

Answer:

13

Step-by-step explanation:

Absolute value is the distance that number is from zero

A base of a parallelogram is on the x-axis and the origin is located at the left endpoint of that base. Three consecutive vertices are (h, j), (0, 0), and (k, 0), where h > 0. What is the x-coordinate of the fourth vertex?
2h
k + h
2k

Answers

Answer:

k + h

Step-by-step explanation:

Given that;

The base of a parallelogram is on the x-axis, i.e., it is on the horizontal axis.

The origin (0,0) is located to the left endpoint of the base. This is followed by (k,0) on that same horizontal baseline, now the length of the upper base must be equal to the length of the lower base, from the (k,0) endpoint, the vertical slant line leading to the upper base endpoint is (h,j).

Therefore, the x-coordinate of the fourth vertex will be k unit distant from h.

i.e k+h.

Answer:

k+h

Step-by-step explanation:

El producto de dos números consecutivos es 552 cuáles son esos números?

Answers

Answer: 23 y 24 ( ó -23 y -24)

Step-by-step explanation:

Dos números consecutivos se escriben como:

n y (n + 1)

done n es un numero entero.

Entonces "El producto de dos números consecutivos es 552"

Se escribe como:

n*(n + 1) = 552

n^2 + n = 552

n^2 + n - 552 = 0

Tenemos una cuadrática, las posibles soluciones son obtenidas con la formula de Bhaskara.

[tex]n = \frac{-1 +- \sqrt{1^2 - 4*1*(-552)} }{2} = \frac{-1 +- 47}{2}[/tex]

Las dos soluciones son.

n = (-1 - 47)/2 = -48/2 = -24

n = (-1 + 47)/2 = 46/2 = 23

Si tomamos la primer solución, n = -24

Entonces los dos números consecutivos son:

n = -24

(n + 1) = -23

Si n = 23 entonces

n + 1 = 24

Lo cual tiene sentido, por que lo único que cambia son los signos, los cuales se cancelarían en la multiplicación.

what is the scale factor of triangle abc to triangle xyz

Help me please

Answers

Answer:

1/3

Step-by-step explanation:

21/1/3=7

27/1/3=9

36/1/3=12

Answer:

A:1/3

Step-by-step explanation:

Use the general solution to solve 5 – 6x = 8x + 17.

Answers

Answer:

8x+6x=14x

5-17= -12

divide both sides by 2

7x= -6

divide by 7

you get x= -6 over 7

Step-by-step explanation:

Answer:

x= -6/7

Step-by-step explanation:

1. 5 - 17 = 8x + 6x

2. -12 = 14x

3. x= -6/7

Kevin compró 5 libras de nueces por $50.89. ¿Cuánto fue el costo por libra?
A. $ 0.18 B. $5
C. $10 D. $10.17

Answers

Answer:

la respuesta es D

a father was 25 years older than his son five years ago. if the product of the son and his father's ages then was 900 years. how old is the son now.​

Answers

Answer:

  25

Step-by-step explanation:

Let x represent the son's age now. 5 years ago, it was x-5, and the father's age was (x -5)+25 = (x+20).

The product of their ages at that time was 900, so we have ...

  (x -5)(x +20) = 900

  x^2 +15x -100 = 900

  x^2 +15x -1000 = 0 . . . . subtract 900

  (x +40)(x -25) = 0 . . . . factor

  x = -40 or +25 . . . . these values make the factors zero

The son's age now is 25.

A better alternative to direct observation to collect data is through_____, which are often/are more costly.
a. experimentation
b. electronic surveys
c. interviews
d. self administrative questioneers

Answers

A. Experimentation -

A better alternative to direct observation to collect data is through Electronic surveys, which are often/are more costly.

What is Meant By Surveys?

A survey is a technique in customer service used to gather feedback from customers on goods, services, and other business-related subjects. Participants are asked how they feel about a topic, and their response is recorded for subsequent use.

A survey in which the distribution of the survey to potential respondents and the gathering of survey data from actual respondents are both heavily reliant on computers. Surveys that are distributed by email over the Internet or company intranets are known as email-based surveys.

Given:

Data is a raw information which can be collected by many mediums.

Now, the data can be collected by experimentation, electronic surveys,  interviews and self administrative questioners.

As, Surveys are the best option but Among all of them the costly one is Electronic surveys.

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1. simplify using the laws of exponents

Answers

Answer:

To simplify a power of a power, you multiply the exponents, keeping the base the same. For example, (23)5 = 215. For any positive number x and integers a and b: (xa)b= xa· b. Simplify.

Step-by-step explanation:

Simplify the expression : (3/2) of (4/7) multiplied by [(10x3)-(8x2)]​

Answers

Answer: 68/7

Step-by-step explanation:

given data:

(3/2) of (4/7) multiplied by [(10x3)-(8x2)]​

first we break it down into smaller sets.

= ( 3/2 ) * (4/7 )

= 6/7 * [(10x3)-(8x2)]​

we open the brackets

=  6/7 * (10x3)-(8x2)

= 6/7 * 30 –16

= 6*30/7 –16

= 180/7 – 16

= 68/7

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