Solve the word problem using the plotted points on the graph.

Solve The Word Problem Using The Plotted Points On The Graph.

Answers

Answer 1

Answer:

In the graph, we can see that the relation between length and weight is given by the adjusted line, which passes through the points (24, 16) and (28, 25)

Remember that a linear relation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If this line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be calculated as:

a = (y₂ - y₁)/(x₂ - x₁)

Then in our case, the slope will be:

a = (25 - 16)/(28 - 24) = 9/4

y = (9/4)*x + b

Knowing that this line passes through (24, 16), we know that when x = 24, y must be equal to 16.

If we replace these in the equation, we can find the value of b.

16 = (9/4)*24 + b

16 = 54 + b

16 - 54 = b - 38

Then the equation is:

y = (9/4)*x - 38

Now that we know the equation, we can simply replace y by 34 pounds to find the value of x.

34 = (9/4)*x - 38

34 + 38 = (9/4)*x

72*(4/9) = x = 32

So we can estimate that the length of a fish that weighs 34 pounds is 32 (I do not know the unit of length, I can't see the horizontal axis on the image)


Related Questions

If a test is worth 90 points and I got 12/15 questions right then what would my grade be?

Answers

Answer: 80

Step-by-step explanation:

HELP PLEASE! MARKING BRAINLIEST

WHT IS THE CIRCUMFERENCE OF THE CIRCLE SHOWN IN THE PICTURE? (Also show the process or tell me what the radius or diameter of the circle is)

Answers

Answer:

109.9 cm

Step-by-step explanation:

Circumference = (pi)(diameter)

They tell you diameter = 35

c = (3.14)(35)

c = 109.9 cm

Please lmk if you have questions.

Answer:

circumference : 109.96 cm

Step-by-step explanation:

The radius of a circle is half its diameter. The radius of a circle with a diameter of 35cm is 17.5cm.

The circumference of a circle is found by 2πr . So that would be 2π 17.5

which would be equal to 109.96cm (2 sig. fig.).

The area of a circle is found by πr2 . So that's π⋅17.5 which is equal to 962.11cm (2 sig.fig.).

Which sequence is geometric?
O 5, 15, 25, 35, ...
O 5, 10, 20, 40, ... *
O 6, 12, 18, 24, ...
O 7, 14, 21, 28, ...

Answers

Answer:

0, 5, 10, 20, 40, ... *

Step-by-step explanation:

geometric sequences require a common ration and the only sequence with a common ratio is B. common ratio is 2

How does the volume of a cylinder with a radius of 6 inches and a height of 8 inches compare to
the volume of a cylinder with a radius of 8 inches and a height of 6 inches?

Answers

Answer:

they are the same

Step-by-step explanation:

We can conclude that the volume of cylinder 1 is 3/4 times the volume of cylinder 2.

What is the volume of cylinder?

The volume of cylinder is given by -

V = πR²h

Given is to compare the volume of a cylinder with a radius of 6 inches and a height of 8 inches compare to the volume of a cylinder with a radius of 8 inches and a height of 6 inches.

Volume of cylinder 1 will be -

V(1) = πR²h = 6 x 6 x 8π = 36 x 8π = 288π

Volume of cylinder 2 will be -

V(2) = πR²h = 8 x 8 x 6π = 64 x 6π = 384π

So, we can write that -

V(1)/V(2) = (288π)/(384π)

V(1)/V(2) = (288)/(384)

V(1)/V(2) = 3/4

Therefore, we can conclude that the volume of cylinder 1 is 3/4 times the volume of cylinder 2.

To solve more questions on cylinders, visit the link below-

https://brainly.com/question/16134180

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Write an equation in slope-intercept form for the line that passes through the
given point and is parallel to the graph of the given equation. (4,-6) y=-3/4x+1

Answers

Slope is -3/4 since it is parallel to the given equation.

Plug in the coordinate into y = mx+b.

-6 = (-3/4)(4) + b
b = -3

Equation is: y = (-3/4)x - 3

Evaluate the expression: 2y-9 when y = 3

Answers

Answer:

-3

Step-by-step explanation:

2·3-9

6-9 = -3

decrease 1800 by 2 percent

Answers

Answer:

1764

Step-by-step explanation:

2% of 1800 = 0.02 * 1800 = 36

1800 - 36 = 1764

Answer: 1764

If p(x)= 2^x, what is the value of p(3) - p(2)?

Answers

Answer:

4

Step-by-step explanation:

p(3) = 2³ = 8

p(2) = 2² = 4

8-4 = 4

La relación del aspecto de una pantalla o la relación entre el ancho y alto de una televisión es de 16:9. El tamaño de una TV está dado por la distancia diagonal de la TV, si se sabe que una HDTV tiene 41 pulgadas de ancho, determina el tamaño de la pantalla.

Answers

Answer:

[tex]23\frac{1}{16}[/tex] pulgada

Step-by-step explanation:

[tex]\frac{16}{9} =\frac{41}{y}[/tex]

16 × y = 9 × 41

16y = 369

16y ÷ 16 = 369 ÷ 16

[tex]y=23\frac{1}{16}[/tex]

I need help, I dont understand

Answers

Answer:

20,19,18

Step-by-step explanation:

because you have to go backwards

hurry !!!! I need help​

Answers

Answer:

x = 66

Step-by-step explanation:

m<5 + m<6 = 180

2x + 48 = 180

2x = 132

x = 66

Select the correct answer from each drop-down menu.

Consider the equation below.

x^3 - 3x^2 - 4 = 1/x-1 +5

The solutions to the equation are approximately x =

0.91 and x= *blank*

Answers

Answer:

The solution is x = + 0.77 , -0.77

Step-by-step explanation:

The equation is

[tex]x^3 - 3x^2 - 4 = \frac{1}{x} -1 +5\\x^4 -3x^3 -4x = 1-4x\\x^4 - 3x^3 = 1\\x^3 (x-3) = 1\\\\x^4 -3x^3 -1 = 0\\x^4 -3x^3 -1[/tex]

The solutions to the equation is

x = + 0.77 , -0.77

Answer:

0.91 and 3.69

Step-by-step explanation:

An element with a mass of 840 grams decays by 22.9% per minute. To the nearest minute, how long will it be until there are 70 grams of the element remaining?

Answers

Answer:10

Step-by-step explanation:believe me bro

To the nearest minute, it will be 10 minutes until there are 70 grams of the element remaining.

How to find the time it took for an element to decay to a certain mass?

The time the element took to decay can be found by using the following formula:

[tex]F=P(1-r)^{t}[/tex]

Where:

F is the remaining mass.P is the original mass of the element.r is the rate at which the element is decaying.t is the time it took for the element to decay.

We can find the answer by substituting the values.

[tex]F=P(1-r)^{t}\\\Rightarrow 70=840(1-0.229)^{t}\\\Rightarrow \frac{70}{840} =(1-0.229)^{t}\\0.0833=(1-0.229)^{t}\\t=9.56\\\approx10 \text{ minutes}[/tex]

Therefore, we have found that the element will take around 10 minutes to have 70 grams remaining.

Learn more about element decay here: https://brainly.com/question/15759852

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The perimeter of a triangle is 44 inches. The length of one side is twice the length of the shortest side, and the length of the other side is eight inches longer than the length of the shortest side.
Choose a variable and tell what that variable represents.

Answers

Answer:

side a = Smallest = 9 inches

side b = 18 inches

side c = 17 inches

Step-by-step explanation:

The formula for the perimeter of a triangle = side a + side b + side c

side a = Smallest

The perimeter of a triangle is 44 inches.

The length of one side is twice the length of the shortest side

Hence:

b = 2a

The length of the other side is eight inches longer than the length of the shortest side.

Hence,

c = 8 + a

Hence, we substitute into the Intial formula

a + 2a + 8 + a = 44 inches

4a + 8 = 44

4a = 44 - 8

4a = 36

a = 36/4

a = 9 inches

Solving for b

b = 2a

b = 2 × 9 inches = 18 inches

Solving for c

c = a + 8

c = 9 inches + 8 = 17 inches

A new experimental tank is in the shape of a cone, cylinder and sphere. All of the tanks have a volume of 10,000 cm3 . One condition to this tank is that the Radius should be 10 cm. Follow up the questions below based on this scenario.
Find the height of cylinder . Keep the answer in terms of π

Answers

Answer:

100/π cm

Step-by-step explanation:

Volume of a cylinder = πr²h

Volume = 10,000cm³

Radius = 10cm

The formula for the height of a cylinder is obtained as:

V = πr²h

h = V/ πr²

h = 10000 /π × 10²

h = 10000 /π × 100

h = 100/π cm

The height of the cylinder in terms of π = 100/π cm

98 = x + 55 what is it????

Answers

Answer:

x = 43

Step-by-step explanation:

x = 98 - 55

x = 43

Answer:

x=43

Step-by-step explanation:

have a nice day and stay safe:)

please help, tysm for your assistance if you do :)

Answers

Answer:

27/49

plz mark me as brainliest

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

B ( -1, -8)

Step-by-step explanation:

A ( -7, -6)

midpt (-4, -7)

Equation:

(x + 3, y - 1)

Solve for B:

(-4, -7)

(x + 3, y - 1)

( -1, -8)

The guy on top of me is right I am just trying to give him more credit for his amazing answer

Please help me TwT
Please and Thank you!

Answers

Answer:

Option C (None Of The Above)

Step-by-step explanation:

Given expression = [tex] - (\frac{ - e}{ - f} )[/tex]

Lets multiply the numerator and denominator by -1.

[tex] = > - ( \frac{ - e \times - 1}{ - f \times - 1} )[/tex]

[tex] = > - ( \frac{e}{f} )[/tex]

Now , lets open the brackets.

[tex] = > \frac{ - e}{f} [/tex]

But as this expression is not there in the given options , the correct answer will be Option C.

Answer:

C. None Of The Above

Step-by-step explanation:

Hope this helps

2 people A and B travel from x and y talong different routes.Their journeys take the same amount of time

Answers

Question:

2 people A and B travel from X to Y along different routes. Their journeys take the same amount of time. B's route is 100km at an average speed of 40km/hour A's route is 60km. What is A's average speed?

Answer:

Person A's average speed is 24km/hr

Step-by-step explanation:

Given

Person B

[tex]Distance = 100km[/tex]

[tex]Speed = 40km/hr[/tex]

Person A

[tex]Distance = 60km[/tex]

Required

Average speed of person A

Speed is calculated as:

[tex]Speed = \frac{Distance}{Time}[/tex]

For person B

[tex]40 = \frac{100}{Time}[/tex]

Make Time the subject

[tex]Time= \frac{100}{40}[/tex]

[tex]Time= 2.5hr[/tex]

For person A

[tex]Speed = \frac{Distance}{Time}[/tex]

[tex]Speed = \frac{60}{Time}[/tex]

The journeys last for the same duration.

So;

[tex]Speed = \frac{60}{2.5}[/tex]

[tex]Speed = 24[/tex]

Person A's average speed is 24km/hr

What is the answer when you simplify it?[tex]7^{2} +2(\sqrt{81} +\sqrt{49} )[/tex]

Answers

the answer should be 81
I think the answer is 81

Please help me with the answer!!!

Answers

5x = 7x - 8

7x - 5x = 8

2x = 8

x = 8 ÷ 2

x = 4

Solve for x and y
7x - 3y = 4 and -10x + 3y = 2

A. x = -2, y = -6
B. x = 6, y = -2
C. x = 2, y = -6
D. x = 6, y = 2

Answers

You can use elimination
7x - 3y = 4
-10x + 3y = 2
Add both equations
-3x = 6, x = -2
Plug in -2 for x in one equation
7(-2) - 3y = 4
-14 - 3y = 4
-3y = 18, y = -6
Solution: x = -2, y = -6

Simplify: 121/11 + 3(4)/2
Please and thank you. :)

Answers

Answer:

17

Step-by-step explanation:

I don't know the explanation, but hoped this helped.

Which of the following equations? (picture included)

Answers

Answer:

B

Step-by-step explanation:

Brayden invests money in an account paying a simple interest of 3.3% per year. If he invests $30 and no money will be added or removed from the investment, how much will he have in one year, in dollars and cents?

Answers

Answer:

$30.99

Step-by-step explanation:

The formula for simple interest is I = PRT where I = interest earned, P = principal amount borrowed/deposited, R = rate as a decimal, and T = time in years.

I = (30)(0.033)(1)

I = 0.99

Then add that to the amount deposited ($30) and you're done.

30 + 0.99 = $30.99

Please let me know if you have questions.

The answer is $29.01

Write a quadratic equation in standard form with [tex]\frac{3}{4}[/tex] an -5 as its roots

Answers

Knowing the roots first write the equation in factored form:

(X - 3/4)(x +5) = 0

Now use the FOIL method ( multiply each term in one set of parentheses by each term the other set:

X•x + x•5 -3/4•x -3/4•5

Simplify:

X^2 + 5x -3/4x -3 3/4

Combine like terms:

X^2+ 4 1/4x - 3 3/4

A state park charges an entrance fee based on the number of people in a vehicle. A car containing 2 people is charged $14, a car containing 4 people is charged $20, and a van containing 8 people is charged $32.What rule do you think the state park uses to decide the entrance fee for a vehicle?

Answers

Answer:

I think they charge a flat rate of $8 for a vehicle and $3 per person on top of that.

Step-by-step explanation:

There could be a multitude of rules, but let's try to find a simple one.

I would start by assuming that the park charges a fee for a vehicle and then for each person. Let's name those:

a - flat fee for a vehicle

b - fee per person

then a car with x people in it would be charged

a + bx

Let's see if the fees fit this assumption:

for x = 2

a + b*2 = $14

for x = 4

a + b*4 = $20

for x = 8

a + b*8 = $32

If so, we can subtract the second equation from the first and get

a + b*4 - a - b*2 = $20 - $14

b*2 = $6

b = 3$

a + b*2 = $14

a + $3*2 = a + $6 = $14

a = $8

so the first 2 equations gave us a = $8 and b = $3.

Let's see if these values fit the 3rd equation

a + b*8 = $32

$8 + $3*8 = $32

$8 + $24 = $32

$32 = $32

It fits!

That tells us that the rule is indeed very likely.

What is 3.72 of 0.6?

Answers

Answer:

Since I do not know the context of the question I will list answers I think it could be based on what you asked:

1. 3.72 x 0.6 = 2.232

2. 3.72 ÷ 0.6 = 6.2

3. 3.72% of 0.6 = 0.02232

The answer is probably the first one. I can't give a definite solution without knowing the exact question being asked, sorry!

does anyone know the answer

Answers

Answer:

I think it is A.

Step-by-step explanation:

I hope this helps.

B.

Because every x value has one corresponding y value (passes vertical line test), the parabola is a function
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