Ivan caught a total of 7 2/5 pounds of fish one day. Of the fish caught, 4 5/8 pounds were sea bass and the rest were mackerel. He gave away 1 7/8 pounds of mackerel. How many pounds of mackerel did he have left.

Answers

Answer 1

Given:

Total fish (Sea bass and mackerel) = [tex]7\dfrac{2}{5}[/tex] pounds

Sea bass = [tex]4\dfrac{5}{8}[/tex] pounds

He gave away [tex]1\dfrac{7}{8}[/tex] pounds of mackerel.

To find:

The remaining mackerel.

Solution:

We know that,

Mackerel = Total fish - Sea bass

[tex]\text{Mackerel}=7\dfrac{2}{5}-4\dfrac{5}{8}[/tex]

[tex]\text{Mackerel}=\dfrac{37}{5}-\dfrac{37}{8}[/tex]

[tex]\text{Mackerel}=\dfrac{296-185}{40}[/tex]

[tex]\text{Mackerel}=\dfrac{111}{40}[/tex]

He gave away [tex]1\dfrac{7}{8}[/tex] pounds of mackerel. So, the remaining mackerel is:

[tex]\text{Remaining Mackerel}=\dfrac{111}{40}-1\dfrac{7}{8}[/tex]

[tex]\text{Remaining Mackerel}=\dfrac{111}{40}-\dfrac{15}{8}[/tex]

[tex]\text{Remaining Mackerel}=\dfrac{111-75}{40}[/tex]

[tex]\text{Remaining Mackerel}=\dfrac{36}{40}[/tex]

[tex]\text{Remaining Mackerel}=\dfrac{9}{10}[/tex]

Therefore, the remaining Mackerel is [tex]\dfrac{9}{10}[/tex] pounds or 0.9 pounds.

Answer 2

Answer:

The amount of Mackerel left is 9/10.

Step-by-step explanation:

total fish = 7 2/5 pounds

sea bass = 4 5/8

The amount of mackerel =

[tex]7\frac{2}{5}-4\frac{5}{8}\\\\=\frac{37}{5}-\frac{37}{8}\\\\=\frac{296-185}{40}\\\\=2 \frac{31}{40}[/tex]

Mackerel left =

[tex]2 \frac{31}{40}-1\frac{7}{8}\\\\= \frac{111}{40}-\frac{15}{8}\\\\=\frac{111-75}{40}\\\\=\frac{36}{40}\\\\=\frac{9}{10}[/tex]


Related Questions

Convert 0.181818 … to a fraction by writing the repeating decimal as an infinite geometric series. Show all of your work (please)

Answers

0.181818… = 18 (0.010101…)

… = 18 (0.01 + 0.0001 + 0.000001 + …)

… = 18 (1/100 + 1/100² + 1/100³ + …)

… = 18 (1 + 1/100 + 1/100² + 1/100³ + …) - 18

Then you have

[tex]0.181818\ldots = \displaystyle18\sum_{k=0}^\infty\frac1{100^k} - 18 = \frac{18}{1-\frac1{100}} - 18 = \boxed{\frac2{11}}[/tex]

Put the following decimals in order, starting with the smallest at the top.
Smallest
5.76
55.706
50.67
50.765
5.07

Answers

Answer:

nxkckcbdhdjdmdndhdjdkdkdnd

A man invested N80 at a certain rate of simple interest. If at the end of 5 years the money amounted to N88, what was the rate of simple interest paid?

Answers

9514 1404 393

Answer:

  2%

Step-by-step explanation:

The amount of interest is the difference between the total amount and the principal amount:

  N88 -N80 = N8 . . . . the amount of interest

The interest amount is given by the formula ...

  I = Prt

Solving for r, we find ...

  r = I/(Pt) = 8/(80×5) = 1/50 = 2%

The rate of simple interest paid was 2%.

Catriona spotted a major problem having to do with patient billing. A number of people may have received the wrong bills. When should she have told her boss? O a) When she was evaluating how to alert the patients O b) After she sent patient notices out c) When she first noticed the problem O d) After she decided on a communication plan

Answers

Answer:

C

Step-by-step explanation:

When she first noticed the problem

Find the measure of the missing angles.
WILL GIVE BRAINLIEST

Answers

Answer:

h= 60

g= 120

m= 147

k= 33

Step-by-step explanation:

We know that all three lines are straight an continuous, so, at any given point the angles should add up to 180 degrees.

This immediately helps with angle h:

    120 + h = 180

              h = 60

As well as m:

     33 + m = 180

              m = 147

There are two ways to solve the next part:

First and most familiar way:

    h + g = 180

    60 + g = 180

             g = 120

and:

    m + k = 180

    147 + k = 180

              k = 33

The other way that I prefer is that the angles opposite of each other when two lines intersect are equal. I don't know if that makes sense, it's hard to explain in this format.

2 2/3 +2 2/3 + 2 2/3 +2 2/3

Answers

Answer:

10.6666666667 is your answer

just round this to the nearest tenth

9514 1404 393

Answer:

  10 2/3

Step-by-step explanation:

Multiplication works nicely on problems involving repeated addition:

  2 2/3 +2 2/3 + 2 2/3 +2 2/3 = 4 × (2 2/3) = 4×2 +4×2/3 = 8 +8/3

  = 8 + 2 2/3 = 10 2/3

A 42 gallon hot water tank hose 350 pounds of water what weight of water at 53 gallon tank hold

Answers

Answer:

441.66667 pounds

Step-by-step explanation:

divide 350/42 then multiply the quotient by 53

I am need help and an explanation on how to read these graphs.

Answers

Answer:

A is the answer

Step-by-step explanation:

A

plz mark it brainlist

an experiment consists of tossing a coin five times and observing and the sequence of heads and tails. find pr

Answers

Answer:

[tex]P(TTTTT) = \frac{1}{32}[/tex]

Step-by-step explanation:

Given

[tex]n = 5[/tex] --- toss

See comment for complete question

Required

[tex]P(TTTTT)[/tex]

First, we calculate the number of possible outcomes

A coin has 2 faces; Since the coin is to be tossed 5 times;

[tex]Outcome = 2^5[/tex]

[tex]Outcome = 32[/tex]

There is only one outcome of TTTTT;

So:

[tex]P(TTTTT) = \frac{1}{32}[/tex]

PLEASE HELPPO The top shelf of a bookcase holds 6 fiction and 4 nonfiction books. On the bottom shelf are 3 fiction and 5 nonfiction books.
Choosing which 2 books describes a pair of dependent events?

Answers

Answer:

Two consecutive events are dependent if the outcome of the second event depends on the outcome of the first event.

Now, suppose that all the books have the same probability of being drawn, let's look at a single shelf.

we take a book from the first shelf, let's ignore the type of book for now.

Now, if we want to get a second book from that shelf, the probability of getting a fiction book is equal to the quotient between the number of fiction books on the shelf and the total number of shelf.

Now we can see that, if the first book drawn was a fiction book, now there are 5 fiction books and 9 books in total, so:

p = 5/9

if the first book was a non-fiction book, now there are 6 fiction books in the shelf and 9 books in total, so the probability in this case is:

q = 6/9

So you can see that the outcome of the second draw depends on the outcome of the first one (only in the case where we take two books from the same shelf)

Then the pair of dependent events is:

A: because in both cases we choose a book from the same shelf

D: because in both cases we choose a book from the top shelf.

HELP HELP HELP HELP PLEASE

Answers

Answer:

It is indeed 63

Step-by-step explanation:

The easy way to go about this is to recognize that if the triangles are similar, the ratio between the similar sides will be the same.

Notice:

4/5 = 36/45

So:

4/7 should = 36/x

If:

4/7 = 36/x

4x/7 = 36

4x = 36*7

x=36*7/4

x=63

!!!HELPPP PLEASE ASAP!!! I don’t know how to solve this problem nor where to start? Can some please help me out and explain how you got the answer please. Thank you for your time.

Answers

Step-by-step explanation:

a)

0.00000000007

b)

0.00000001

MFP15017010 2021 Question 2 2.1 Calculate the following 2- and 3-digit numbers using strategic doubling: 34 2.1.2 340 2.13 277 214 00 (10) 2.15 500

Answers

Answer:

plz check ur school solution down.

Step-by-step explanation:

Which one correct answer??

Answers

What is the question of it ?

Number 4 is the correct one

A sales firm receives an average of three calls per hour on its toll-free number. For any given hour, find the probability that it will receive at least three calls. Use the Poisson distribution.

Answers

Answer:

At most 3 calls: 64.7%

At least 3 calls: 57.7%

5 or more calls: 18.5%

Step-by-step explanation:

use the figure to find x

Answers

Answer:

there is not enough information

Step-by-step explanation:

you have to have either x or y to answer the question

Surface roughness of pipe. Refer to the Anti-corrosion Methods and Materials (Vol. 50, 2003) study of the sur- face roughness of coated interior pipe used in oil fields, Exercise 7.26 (p. 311). The data (in micrometers) for 20 sampled pipe sections are reproduced in the table on p. 391.
a. Give the null and alternative hypotheses for testing whether the mean surface roughness of coated interior pipe, H, differs from 2 micrometers.
b. The results of the test, part a, are shown in the MINITAB printout at the bottom of the page. Locate the test statistic and p-value on the printout.

Answers

The minitab report isn't given.

Answer:

H0 : μ = 2 um

H1 : μ ≠ 2 um

Step-by-step explanation:

The mean surface roughness of coated interior pipe is given as 2um.

This refers to the population mean, μ = 2 um

Therefore, the null hypothesis which usually aligns with the population mean value will be stated as :

H0 : μ = 2 um

The alternative hypothesis is used to test the claim that the mean surface roughness is different from 2 ; hence no direction is given, this is thus a 2 - tailed test

H1 : μ ≠ 2 um

Part C of Jim and his dad are building a rectangular flower bed.
If Jim and his dad decide to decrease the width of the flower bed from 15 feet, what happens to its length?

Answers

i gotchu

The perimeter is 35. If we were to change the width, which is one of the dimensions of the flower bed, The perimeter will change. This means that perimeter will no longer be 35. So in order to keep the perimeter as it is, if we change one dimension, we must also change the other.

Let's solve for the length, using the formula to see how much the length changes from.

p = 2l + 2w

35 = 2l + 2(15)

35 = 2l + 30

5 = 2l

2.5 = l


We must increase the length from 2.5 feet. This is because decreasing one dimension will decrease the perimeter. But if we increase the other dimension as well, it will restore the perimeter to where is was initially.

Problem
Combine the like terms to create an equivalent expression:

y−(−3y)
please someone explain to me how to do this?

Answers

y-(-3y)= 4y
Because you have two negative signs, 3y becomes positive. This makes the expression y+3y, which is 4y.

Use all the six numerals 4, 5, 6, 7, 8 and 9 to form two 3-digit even numbers whose sum is smallest, and what is the sum? ​

Answers

Step-by-step explanation:

this Is hard to find.............

Answer:

The numbers should be even, it means the unit digits are 4, 6 or 8.

The numbers should be minimal, it means the hundred's digits are 4 and 5.

With this we have possible numbers:

4x6 and 5y8, here 6 and 8 could be exchanged.

The options are:

496 and 578 or476 and 598 or498 and 576 or478 and 596

The sum of the two numbers is:

1074

What is the length of PO

Answers

These are similar triangles, therefore their sides are proportional.

36 / 24 = PO / 36

24PO = 1296

PO = 54

Hope this helps!

Simplify[tex]\frac{9x^{16} }{6(x^{2} )^{3}x^{2} } }[/tex]

Answers

Answer:

[tex]\displaystyle \frac{3x^8}{2}[/tex]

General Formulas and Concepts:

Algebra I

Exponential Rule [Multiplying]:                                                                            [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex] Exponential Rule [Dividing]:                                                                                [tex]\displaystyle \frac{b^m}{b^n} = b^{m - n}[/tex]Exponential Rule [Powering]:                                                                              [tex]\displaystyle (b^m)^n = b^{m \cdot n}[/tex] Exponential Rule [Rewrite]:                                                                                 [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \frac{9x^{16}}{6(x^2)^3x^2}[/tex]

Step 2: Simplify

Exponential Rule [Powering]:                                                                           [tex]\displaystyle \frac{9x^{16}}{6x^6x^2}[/tex]Exponential Rule [Multiplying]:                                                                        [tex]\displaystyle \frac{9x^{16}}{6x^8}[/tex]Exponential Rule [Dividing]:                                                                             [tex]\displaystyle \frac{9x^8}{6}[/tex]Simplify:                                                                                                             [tex]\displaystyle \frac{3x^8}{2}[/tex]

in order to apply the law of cosines to find the length of the side of a triangle, is it enough to know which of the following?


A. The area of a triangle

B. The lengths of two of the triangle's sides and the measure of the angle between them

C. At least two of the angles of the triangle and the length of one of its sides

Answers

9514 1404 393

Answer:

  B. The lengths of two of the triangle's sides and the measure of the angle between them

Step-by-step explanation:

The usual formulation of the law of cosines is something like this:

  c² = a² +b² -2ab·cos(C)

where 'c' is the side opposite angle C, and 'a' and 'b' are the other two sides. That is, to use this formula directly, one needs two side lengths and the measure of the included angle.

_____

Additional comment

One can use the law of cosines to solve a triangle when any two sides and one angle are known. The use of the formula will give a quadratic in the unknown side length, if it is not the side opposite the known angle. As with the law of sines, if the angle is opposite the shorter of the two given sides, there may be two solutions for the length of the third side.

Answer:

The answer is B.)

Step-by-step explanation:

Si una vara 2,15 mts de longitud da una sombra de 6,45 mts

Answers

Answer:

he casted 4.3. away

Step-by-step explanation:

With the help of scientists, farmers in the United Kingdom have been able to produce more and more grain per hectare each year. Here are the crop yields for several years:

Assuming that this trend continues, what crop yield is predicted for the year 2020 by the model? Round your answer to the nearest whole number. You must find the linear regression equation first.

A. 8,603 kg/ha
B. 8,232 kg/ha
C. 9,447 kg/ha
D. 7,382 kg/ha

Answers

it’s c :) have a good day

Crop yield prediction in year 2020 is 9,447 kg/ha

What is linear regression ?

Linear regression is an analytic statistical approach for predicting the relationships between an independent variable that determines the values of of or more dependent variables.

From the data given in the question

Equation of a straight line is y = a + bx

∑y = an + b∑x

∑xy = a∑x +b∑x²

The values are calculated in the table given below

 X                y              x=X-1985             x²                    xy

1961          3090               -24                 576              -74160

1968         4040                -17                 289              -68680

1987          5830                 2                   4                   11660

1992         5680                 7                   49                 39760

2001         7630                16                  256               122080

2004         8020               19                  361                152380

   _                _                   _                     _                      _

∑x =11913   ∑y=34290    ∑x=3            ∑x²=1535       ∑xy=183040

Substituting the values

6a + 3b = 34290

3a + 1535b = 183040

solving the two by suitable elimination

6a + 3b = 34290

3(2a+b) = 3×11430

2a + b = 11430....(i)

and 3a + 1535b=183040....(ii)

a=173620/3067 = 5660.91

Putting a=5660.91 in (i)

2(5660.91) + b = 11430

b = 108.81

∴ a = 5660.91 and b = 108.81

Now substituting the values in the equation y=a+bx

y = 5660.91 + 108.81x

y = 5660.91 + 108.81(X-1985)

∴In 2020

y =5660.91 +108.81(2020 - 1985)

y = 9447.245

Learn more about Statistics here :

https://brainly.com/question/22661717

#SPJ5

FIND THE LENGTH OF MP

Answers

Answer:

D.21

Step-by-step explanation:

MP=MV - PV= 67 -46 = 21

Graph the line. y = -5x + 1

Answers

Answer:

See below.

Step-by-step explanation:

To graph y = -5x + 1 we must move 1 unit up and 5 units down plus a unit to the right

Since the slope is negative, therefore, we move down 5 units

Since the y-intercept is positive 1 then we move 1 unit up

Important Note: Start by the y-intercept first, then the slope

Suppose a + bi and c + di are complex numbers with b not equaling 0.
(a) Calculate (a + bi) + (c + di) and (a + bi)(c + di).
(b) Show that if both the sum and product are real numbers, then either the complex numbers are real numbers or conjugates.

Answers

9514 1404 393

Answer:

  (a) sum: (a+c) +(b+d)i

     product: (ac -bd) +(bc +ad)i

  (b) (b+d)=0 and (bc+ad)=0 ⇒ a=c, d=-b or b=d=0

Step-by-step explanation:

(a) Combining like terms the sum is ...

  (a +bi) +(c +di) = (a+c) +(b+d)i . . . . sum

And the product is ...

  (a+bi)(c+di) = ac +(ad+bc)i +bd·i²

Since i = √-1, i² = -1 and the product can be written as ...

  (a+bi)(c+di) = (ac-bd) +(ad+bc)i . . . . product

__

(b) If both the sum and product are real numbers, then we have ...

  b +d = 0

  ad +bc = 0

The first equation tells us d = -b. Substituting that into the second equation, we get ...

  a(-b) +b(c) = 0

  b(c -a) = 0

The zero product rule tells us this will be true if and only if b = 0 or c = a.

  if b = 0, then d = 0 and both numbers are real.

  if c = a, then c+di = a-bi and the numbers are conjugates.

Hence, if both the sum and product are real, both are real numbers or they are conjugates.

Which phrase best describes a theorem in an axiomatic system?
A.
the accepted meaning of a term
B.
an assumption made with little supporting evidence
C.
an accepted fact that cannot be proven
D.
a statement proven to be true using logic
E.
a list of geometric facts

Answers

The answer is to the question is D

Answer:

hope it's help you (: for your answer

Convert the following fraction to a decimal.
1/3
A. 0.3


B. 0.03


C. 0.303


D. 3.9

Answers

Answer:

Option A, 0.3

Step-by-step explanation:

Step 1:  Convert the fraction into a decimal

Technically, 1/3 is an irrational number meaning that it never ends.  However, if we round it, it would round to 0.3 since 1/3 = 0.3333333.....

Answer: Option A, 0.3

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