Bridget went fishing with her dad. Bridget caught the first fish of the day, and it weighed f ounces. That day, she caught four more fish. One was times the weight of the first fish, another was more than times the weight of the first fish, the next was the weight of the first fish, and the last was the weight of the first fish. Bridget's dad caught four fish. The first fish he caught weighed more than times the weight of the first fish caught that day. One fish weighed the weight of the first fish caught that day, one weighed more than times the weight of the first fish caught that day, and the last weighed the weight of the first fish caught that day.

Answers

Answer 1

Answer:

Bridget's first fish =f = 5 ounces

Bridget's dad first fish weighs 17 ounces

Step-by-step explanation:

Bridget went fishing with her dad. Bridget caught the first fish of the day, and it weighed f ounces. That day, she caught four more fish. One was 2 times the weight of the first fish, another was 2 more than 3 times the weight of the first fish, the next was 1/2 the weight of the first fish, and the last was 3/5 the weight of the first fish. Bridget’s dad caught four fish. The first fish he caught weighed 2 more than 3 times the weight of the first fish caught that day. One fish weighed 4/5 the weight of the first fish caught that day, one weighed 4 more than 2 times the weight of the first fish caught that day, and the last weighed 1/2 the weight of the first fish caught that day. If all the fish Bridget caught have the same total weight as all the fish her dad caught, then the first fish Bridget caught weighed___ ounces and the first fish her dad caught___ weighed ounces.

Solution:

Bridget's fishes:

f ounces

2f ounces

3f+2 ounces

1/2f ounces

3/5f ounces

Total= f +2f + (3f+2) + 1/2f +3/5f

=3f + 3f + 2 + 5f+6f/10

=6f + 2 + 11f/10

=60f+11f/10 +2

=71/10f +2

Bridget's dad fishes

3f+2

4/5f

2f+4

1/2f

Total =(3f+2) + (2f+4) + 4/5f +1/2f

=3f+2+2f+4 + 8f+5f/10

=5f + 6 + 13/10f

= 50f+13f/10 + 6

=63/10f +6

Equate the total weight

71/10f +2=63/10f +6

Collect like terms

71/10f - 63/10f =6-2

71f-63f/10 = 4

8f/10=4

Cross product

8f=40

Divide both sides by 8

f=5

Bridget's first fish =f = 5 ounces

Bridget's dad first fish = 3f +2

=3(5)+2

=15+2

=17 ounces

Bridget's dad first fish weighs 17 ounces


Related Questions

Please help ASAP !!!☹️

Answers

Answer: quit

Step-by-step explanation:

it’s really easy .

PLEASE HELP
You have to create 3 functions to make hills on a grap

Requirements are in the photo.
(ignore graphs)

4. Write equations for three hills that do meet the requirements. Sketch them on one axis. (For the
purposes of this exercise, this is a sketch, so the steepness and minimums and maximums of the
graphs do not need to be exact). (6 points: 1 point for each equation, 1 point for each sketched curve)

Answers

Answer:

Hill 1: F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 2: F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 3: F(x) = 4(x - 2)(x + 5)

Step-by-step explanation:

Hill 1

You must go up and down to make a peak, so your function must cross the x-axis six times. You need six zeros.

Also, the end behaviour must have F(x) ⟶ -∞ as x ⟶ -∞ and F(x) ⟶ -∞ as x⟶ ∞. You need a negative sign in front of the binomials.

One possibility is

F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 2

Multiplying the polynomial by -½ makes the slopes shallower. You must multiply by -2 to make them steeper. Of course, flipping the hills converts them into valleys.

Adding 3 to a function shifts it up three units. To shift it three units to the right, you must subtract 3 from each value of x.

The transformed function should be

F(x)  = -2(x +1)(x)(x -2)(x -3)(x - 6)(x - 7)

Hill 3

To make a shallow parabola, you must divide it by a number. The factor should be ¼, not 4.

The zeroes of your picture run from -4 to +7.

One of the zeros of your parabola is +5 (2 less than 7).

Rather than put the other zero at ½, I would put it at (2 more than -4) to make the parabola cover the picture more evenly.

The function could be

F(x) = ¼(x - 2)(x + 5).

In the image below, Hill 1 is red, Hill 2 is blue, and Hill 3 is the shallow black parabola.

5. In figure 2.9, line AB || line CD and line PQ is transversal. Measure of one of the angles is given Hence find the measures of the following angles (1) LART (ii) ZCTO (iii) ZDTO (iv) ZPRB​

Answers

Voće q no tonto es 2.9. Y también AB ok coprende ??? Ok chao

Plz help me this is probably easy but im just not seeing it plz help me ASAP

Answers

Answer: is attatched to the photo I sent

Step-by-step explanation:

I admit, this is tricky, just remember to think about it as where the shapes are the most similar. I'm not exactly sure how to explain it, but where it reflects like a mirror is the "copy"

The example I'm thinking of attached too, but these over lap so its diffucult

hey gouys I need help on this to plz help mee

Answers

Answer:

d. 3√6 = 7.348

Step-by-step explanation:

1. simplify each expression

a. √150 / 2 = 6.124

b. π + 4 = 7.142

c. 2π = 6.283

d. 3√6 = 7.348

the largest number will be the closest to 8. therefore, point W is expression D.

The table shows the relationship between the number of white shells and the number of pink beads that Aliz uses to decorate 6 different
jewelry box. Which of the following equations relates the number of pink beads, p, to the number of white shells, w? �� p = 25w �� w = 52p �� 5w = 2p �� p = 52w

Answers

Answer:

p = 5/2w

Step-by-step explanation:

We want the ratio of pink beads to white shells

p: w

5: 2

Cross multiply

2p = 5w

Divide by 2

p = 5/2w

A radioactive substance decays exponentially. A scientist begins with 350 milligrams of a radioactive substance. After 14 hours, 175 mg of the substance remains. How many milligrams will remain after 20 hours

Answers

Answer:

N(t)=N∗.5t/h where n(t) is amount of substance left, N = initial amount, t = current time, and h = half-life time.h = 24 hours t= 45 hours, N = 130mg

therefore, N(t)=130∗.545/24=35.44mg

Step-by-step explanation:

N(t)=N∗.5t/h where n(t) is amount of substance left, N = initial amount, t = current time, and h = half-life time.h = 24 hours t= 45 hours, N = 130mg

therefore, N(t)=130∗.545/24=35.44mg

Answer:

≈ 130 mg

Step-by-step explanation:

This is about the half-life of the substance.

There is a formula for this kind of calculations:

N(t)= N₀*(0.5)^(t/T), where

N(t) = substance left after time period of t,t = time passed,N₀ = initial amount of the substance,T = hal-life time of the given substance.

In our case, we have:

N₀ = 350 mg,t= 20 hours,T = 14 hours  as half of substance decays during this time period,

And the calculation:

N(20)= 350*(0.5)^(20/14)N(20) ≈ 130 mg

Answer: about 130 mg of substance remains after 20 hours

The circle below is centered at the origin and has a radius of 10. What is its
equation?
10
O A. x2 + y2 = 100
O B. x2 - y2 = 10
O c. x2 + y2 = 10
O D. x2 - y2 = 100

Answers

Answer:

x^2+y^2=100

Steps:-

We know Distance formula from origin

[tex]\\ \sf\longmapsto \sqrt{x^2+y^2}[/tex]

Now

[tex]\\ \sf\longmapsto \sqrt{x^2+y^2}=10[/tex]

[tex]\\ \sf\longmapsto x^2+y^2=10^2[/tex]

[tex]\\ \sf\longmapsto x^2+y^2=100[/tex]

The equation of the circle with radius r = 10 is given by x² + y² = 100

What is a Circle?

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the equation of circle be represented as A

Now , the value of A is

Let the radius of the circle be r

where radius r = 10

And , standard form of a circle is

( x - h )² + ( y - k )² = r²,

The center of the circle is the origin O ( 0 , 0 )

So , h = 0 and k = 0

On simplifying , we get

x² + y² = ( 10 )²

x² + y² = 100   be equation (1)

Therefore , the value of A is x² + y² = 100

Hence , the equation of circle is x² + y² = 100

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Statement Reason
Check Answers

Answers

Answer:

Question?

Step-by-step explanation:

x+1=0
Giải hộ em với

Answers

Answer:

x = -1

Step-by-step explanation:

-Subtract 1 from both sides of the equation

x + 1 = 0

x + 1 - 1 = 0 - 1

-simplify

x = -1

there are 25 children in the class 3/5 of the children in the class are boys. how many girls are their?
PLZZZ

Answers

There are 10 girls in the class. You want to multiply (3/5)x25, once product is found, you subtract it from 25, the product is 15, so 25-15=10girls

Answer:

10 girls

Step-by-step explanation:

If 3/5 of the class consists of boys, (5/5 - 3/5 = 2/5) : 2/5 are girls

3/5 x 25 = 15

2/5 (girls) = 25 - 15

Therefore, 10 girls in total

Find the following measure for this figure.
12
10

Answers

Answer:

13 units

Step-by-step explanation:

Using the right triangle formed by the 2 legs and the slant height s

The legs are 12 and 10 ÷ 2 = 5, with hypotenuse s

Using Pythagoras' identity in the right triangle, then

s² = 12² + 5² = 144 + 25 = 169 ( take the square root of both sides )

s = [tex]\sqrt{169}[/tex] = 13

please help me T-T.......

Answers

Hi

1) f(x)= 0.9 x

2) g(x) = x-100

3) f °g. is first apply g then f. so :

f°g = 0.9 ( x-100) = 0.9x-90

4) g°f. is first apply f then g

so g°f = (0.9x) -100 = 0.9x-100

I let you conclude which is the best deal :)

solve this question .....​

Answers

It’s a bit blurry, I’m not sure if I got the question right..

Solve equations show all steps 1. 2x-10=44+8x 2. 7x-4=20=3x 3. 2(x-3)=-20 4. 15-4x+5=32

Answers

Answer:

2x - 10 = 44 + 8x

7x - 4 = 20 =3x

2(x-3) = -20

15 - 4x + 5 = 32

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    2*x-10-(44+8*x)=0

Pull out like factors :

  -6x - 54  =   -6 • (x + 9)

  -6   =  0

 Solve  :    x+9 = 0

Subtract  9  from both sides of the equation :

                     x = -9

x = -9

Move all terms containing

x

to the left side of the equation.

4

x

4

=

20

Move all terms not containing

x

to the right side of the equation.

4

x

=

24

divide each term by 4

x = 6

2(x−3)=−20

Step 1: Simplify both sides of the equation.

2(x−3)=−20

2x−6=−20

Step 2: Add 6 to both sides.

2x−6+6=−20+6

2x=−14

Step 3: Divide both sides by 2.

2x

2

=

−14

2

x=−7

−4x+20=32

Step 2: Subtract 20 from both sides.

−4x+20−20=32−20

−4x=12

Step 3: Divide both sides by -4.

−4x

−4

=

12

−4

x=−3

Which graph has a slope of 4/5?

Answers

Answer:

[tex]\boxed{ Graph. B}[/tex]

Step-by-step explanation:

Hey there!

Well slope is aka rise/run,

so starting at the red dot and rising 4 units an ruing to the right 5 units,

graph b is the correct answer.

Hope this helps :)

Graph B has a slope of 4/5.

How is a slope calculated?

Slope is calculated with the aid of finding the ratio of the "vertical change" to the "horizontal alternate" among (any) distinct factors on a line.

What is a slope in a straight line?

Typically, the slope of a line offers the measure of its steepness and path. The slope of an instant line among two factors says (x1,y1) and (x2,y2) may be without problems decided by finding the difference between the coordinates of the points. The slope is commonly represented by using the letter 'm'.

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how many quarts make 5 gallons

Answers

Answer:

4 quarts

Hope it helps!

Step-by-step explanation:

Answer: 5 gallons= 20 quarts

              1 gallon = 4 quarts

What is the greatest common factor of 30, 45, and 90?

Answers

Answer:

15

The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30

The factors of 45 are: 1, 3, 5, 9, 15, 45

The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Then the greatest common factor is 15.

if 13 minute video played for 6 minutes what is the amount of percent played

Answers

Answer: 46.15%

Step-by-step explanation:

From the question, we are informed that a 13 minute video played for 6 minutes. The amount of percent played will be:

= 6/13 × 100

= 0.4615 × 100

= 46.15%

Isabelle bought some stationery.1/3 of them. Were pencils.5/8 of the remainder were erasers and the rest were rulers.The table shows the cost of each stationery,Pencil:$1.20,Eraser:$1,Ruler:$0.50. She spent a total of $169.50 on all the stationery. a)What fraction of the stationery bought was rulers? b)How much more did she spend one erasers than rulers?

Answers

Answer:

1/4 ; $28.25

Step-by-step explanation:

Given the following :

Cost of stationeries:

Pencil:$1.20

Eraser:$1

Ruler:$0.50

Total : $169.50

Let total Stationeries purchased = t

Fraction of pencils = 1/3t

Remainder = t - 1/3 = 2/3t

Fraction of eraser = 5/8 of remainder

Thus ;

Fraction of eraser = 5/8 * (2/3)t= 10/24 = (5/12)t

Rest were ruler ;

(2/3)t - (5/12)t= (8 - 5)/12

= 3 / 12 = 1/4t

Fraction of rulers = 1/4

Amount spent on erasers:

(5/12) of the total cost of stationery

(5/12) * 169.50 = $70.625

B.) How much more did she spend on erasers than rulers

Amount spent on rulers :

(1/4) * $169.50 = $42.375

Take the difference :

$(70.625 - 42.375) = $28.25

mr.wright judges the annual jelly bean challenge at the summer fair.every year he encourages the citizens in his town to guess the number of jelly beans in the jar.he keeps in record of everyones guesses and the number of the jelly beans each person was off by. what is the independent and dependent quantity?

Answers

Answer: Independent quantity : number of jelly beans in the jar guessed.

Dependent quantity : number of the jelly beans each person was off by.

Step-by-step explanation:

Independent quantity : A quantity that the experimenter can change or control.Dependent quantity : A quantity that depends on each independent quantity.

In the given scenario, there are two quantities introduced:

number of jelly beans in the jar guessed. number of the jelly beans each person was off by.

Since, "number of the jelly beans each person was off by." depends on "number of jelly beans in the jar guessed.".

So,

Independent quantity : number of jelly beans in the jar guessed.

Dependent quantity : number of the jelly beans each person was off by.

If area of a rhombus is 336 cm and one of its diagonal is 14 cm, find its perimeter.

Answers

Answer:

The perimeter of the Rhombus is 100 cm

Step-by-step explanation:

First of all, we will need to find the length of the other diagonal.

let’s call the diagonals p and q

Mathematically, the area of the Rhombus is;

pq/2 = Area of Rhombus.

Let’s call the missing diagonal p

So;

(p * 14)/2 = 336

14p = 672

p = 672/14

p = 48 cm

Now, we can find the perimeter of the Rhombus using these diagonals.

Mathematically;

P = 2 √(p^2 + q^2)

Substituting these values, we have;

P = 2 √(14)^2 + (48^2)

P = 2 √(2500)

P = 2 * 50

P = 100 cm

The perimeter of the rhombus is the sum of its side lengths

The perimeter of the Rhombus is 100 cm

The length of one of its diagonal is given as:

[tex]p= 14[/tex]

And the area is given as:

[tex]A = 336[/tex]

Assume the other diagonal is q.

The area of the rhombus is represented as:

[tex]A = \frac{pq}2[/tex]

So, we have:

[tex]336 = \frac{14q}2[/tex]

This gives

[tex]336 = 7q[/tex]

Divide both sides by 7

[tex]48 = q[/tex]

Rewrite as:

[tex]q = 48[/tex]

The perimeter (P) of the rhombus is calculated as:

[tex]P =2\sqrt{p^2 + q^2[/tex]

So, we have:

[tex]P =2\sqrt{48^2 + 14^2[/tex]

Evaluate the squares

[tex]P =2\sqrt{2500[/tex]

Take positive root of 2500

[tex]P =2 \times 50[/tex]

[tex]P =100[/tex]

Hence, the perimeter of the Rhombus is 100 cm

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please i need help lol The amount of clay students used for their last art project is weighed. The line plot displays the amounts of clay. How much more clay did the students who used of a pound use than the students who used of a pound?

Answers

Answer:

2  1/4

Step-by-step explanation:

We need to see how much clay they used if each person in that group used 3/4 clay. There are 4 people in the group.

=> 3/4 x 4 = 12/4 =    3

Now, we need to see how much clay they used if each person in that group used 1/4 clay. There are 3 people in the group

=> 1/4 x 3 =   3/4

Now, we need to see how much more clay was used.

=>3 - 3/4

=> 3/1 - 3/4

=> Take the LCM of the denominators and make the denominators equal.

=> 12/4 - 3/4

=> 9/4

They used 9/4 more clay.

Since there are no options with 9/4, we need to make this improper fraction into a proper fraction.

=> 9/4 = 2  1/4

They used 2  1/4 more clay.

A bag contains twelve marbles, which includes seven red marbles and five blue marbles. Roja reaches into the bag and pulls out four marbles. a) How many different sets of four marbles can be pulled from this bag? b) How many of these sets contain two red marbles and two blue marbles? c) How many of these sets contain all red marbles? d) How many of these sets contain all red marbles or all blue marbles?

Answers

Answer:

a) 495

b) 210

c) 35

d) 40

Step-by-step explanation:

Given a total of 12 marbles.

n = 12

Number of red marbles = 7

Number of blue marbles = 5

a) Number of different sets of 4 marbles that can be made from this bag ?

This is a simple combination problem.

where n = 12 and r = 4.

So, answer will be:

[tex]_{12}C_4[/tex]

Formula:

[tex]_{n}C_r = \dfrac{n!}{(n-r)!r!}[/tex]

[tex]_{12}C_4 = \dfrac{12!}{(8)!4!} = \dfrac{12\times 11\times 10\times 9}{4 \times 3\times 2} =\bold{495}[/tex]

b) Two red and two blue marbles:

The answer will be:

[tex]_{7}C_2 \times _{5}C_2 = \dfrac{7\times 6}{2} \times \dfrac{5\times 4}{2} =\bold{210}[/tex]

c) all red marbles.(4 chosen out of 7 red and 0 chosen out of 5 blue marbles)

[tex]_{7}C_4 \times _{5}C_0 = \dfrac{7\times 6\times 5\times 4}{4\times 3\times 2} =\bold{35}[/tex]

d) all red or all blue.(all red marbles plus all blue marbles)

All red marbles:

[tex]_{7}C_4 \times _{5}C_0 = \dfrac{7\times 6\times 5\times 4}{4\times 3\times 2} \times 1=\bold{35}[/tex]

All blue marbles:

[tex]_{7}C_0 \times _{5}C_4 = 1 \times \dfrac{5\times 4\times 3\times 2}{4\times 3\times 2} =\bold{5}[/tex]

So, answer is 40.

which of the following is NOT true about a parallelogram?

Answers

Answer:

Any two consecutive angles are complementary.

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

Opposite sides of a parallelogram are parallel, Opposite sides are congruent. Opposite angles are congruent.

OAmalOHopeO

Given that B is the midpoint of segment AC. BC = 14x -26 and AB = 6x +6,
find the value of x.*

Answers

∵B is the midpoint of segment AC
∴BC=AB
∴14x-26=6x+6
14x-6x=6+26
8x=32
x=4

Hope my answer helped u :)

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Addition property of Equality

Step-by-step explanation:

Adding same quantity to both sides of equation is called addition property of equality

what is meant by derivative​

Answers

Answer:

its basically just rate of change or slope. with derivatoves you can find the slope of a tangent line which is a line that touches the curve at a point.

*PLEASE* PLEASE PLEASE HELP ME SOMEBODY !3RD! TIME POSTING THIS AND I REALLY BADLY NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Are the two triangles similar? If so, state the reason and the similarity statement. Question options: A) Impossible to determine. B) Yes; SAS; ΔVWX ∼ ΔYZX C) Yes; SSS; ΔVWX ∼ ΔYZX D) The triangles are not similar.

Answers

Answer:I think its not similar

Step-by-step explanation:

they dnot look the same

the price of a computer including tax was 842.50 . the sales tax was 8%. what was the original price of the computer

Answers

Answer:

The original price was 780.09

Step-by-step explanation:

Let x be the price of the computer

The sales tax is x* .08

The total price is x + .08x = 1.08x

This is equal to 842.50

1.08x = 842.50

Divide each side by 1.08

1.08x/1.08=842.50/1.08

x =780.09

The original price was 780.09

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