Maximilian is cleaning shrimp. He cleans 4 shrimp every minute. Use time in minutes as the independent quantity and the number of shrimp as the dependent quantity.
A. Is the relationship proportional or non-proportional? Explain how you can determine this using a graph and equation.
B. Identify the unit rate of this relationship. Explain what the unit rate means in terms of the situation.
C. Write an equation that determines the number of shrimp cleaned at any given time.
D. Create a graph of the relationship.

Answers

Answer 1

Relationship Equation between time and shrimps cleaned : S = 4T; Relationship is inversely proportional; Unit rate of change = 4

Given : 4 Shrimps cleaned every minute.

So, Shrimps cleaned 'S' = 4 times minutes taken 'T' ; S = 4T

The relationship between variables is proportional, as the dependent variable (shrimps) is constant multiples times the independent variable (time), & their ratio remains constant.

It is directly proportional, as both variables (shrimps & time)  move in same direction. One variable increase or decrease, other variable same respectively. Graph in this case is upward sloping curve from origin, because of  direct proportional relationship respectively.

Unit rate of change denotes constant magnitude of change in a variable with other variable. It is 4 in this case, as time increases the shrimps.

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Related Questions

what is the x-intercept of the line 6x-3y=24

Answers

Answer: x = 4

Solving Steps:

To make things easier, let’s put the equation in slope-intercept form.

6x - 3y = 24
-3y = -6x + 24
y = 2x - 8

The equation of the x-axis is y = 0, so to find an x-intercept, set the equation equal to 0.

0 = 2x - 8
2x = 8
x = 4

Twenty students scored the following marks in a history test: 5, 2, 5, 3, 1, 6, 2, 2, 3, 4, 2, 1, 2, 2, 4, 3, 2, 2, 2, 3. What is the mode of distribution. What is the median and mean

Answers

Answers:

Mode = 2Median = 2Mean = 2.8

===================================================

Work Shown:

Original set = {5, 2, 5, 3, 1, 6, 2, 2, 3, 4, 2, 1, 2, 2, 4, 3, 2, 2, 2, 3}

Sorted set = {1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 5, 6}

Do not toss out the duplicates.

The most occurring or most frequent value is 2, so this is the mode.

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

To find the median, we divide the n = 20 item set into two parts

n/2 = 10

So we'll count to the 10th slot to get to the number "2", which is the second to last "2" in the sorted list shown above.

The number just after this is also "2" in the 11th slot. Average these two values to get (2+2)/2 = 4/2 = 2

The median is 2.

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

To find the mean, we need to first add up all the data values.

1+1+2+2+2+2+2+2+2+2+2+3+3+3+3+4+4+5+5+6 = 56

Then divide this over n = 20 to get 56/20 = 2.8

The mean is 2.8

The mean being larger than the median tells us we have an outlier that is larger than the main cluster. Those outliers are 5 and 6.

In a chemical reaction, Substance A reacts with Substance B and forms a new substance AB. The chemical equation for this reaction is A + B = AB where A and B are the reactants and AB is the product. If you add more and more of only Substance A, there will be

Answers

Answer:

More and more of product AB but limited to the amount of B

Step-by-step explanation:

Adding more of one substance which makes up the reactant will increase the number of product AB that will be obtained but limited by the amount of B.

The amount of reacting substances is directly proportional to the amount of product yield. This means that adding more and more of the substance which makes up the reactant increases the amount of atoms reacting to form a product.

Hence, adding more and more of only substance A will increase the product AB, however, the amount of B in the product will be limited.

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The diagonals of a rhombus measure 16 cm and 30 cm .find its perimeter ( in easy way)?

Answers

Answer:

68 cm

Step-by-step explanation:

Let ABCD be a rhombus, all sides of the rhombus have equal length and its diagonal AC and BD are intersecting each other at a point O.

As we know that the diagonals in the rhombus bisect each other at 90°.

So, AO can be written as (AC/2)  

= 16/2  

= 8 cm

And, DO can be written as (BD/2)

= 30/2  

= 15 cm

Then, consider the triangle AOD and apply Pythagoras theorem,  

AD2 = AO2 + DO2

AD2 = 82 + 152

AD2 = 64 + 225

AD2 = 289

AD = √289

AD = 17 cm

Hence, the length of each side of the rhombus is 17 cm

Now,

The perimeter of rhombus = 4 × side of the rhombus

= 4 × 17

= 68 cm

Therefore, the perimeter of the rhombus is 68 cm.

A rocket is fired upward from ground level with an initial velocity of 1600ft/sec . When will the rocket be above 1000ft? Show your work. Round your answer to the nearest tenths. Write the answer in set notation.

Answers

Answer:

{t: 0.6 < t < 99.4}.

Step-by-step explanation:

Use one of the equations of motion under gravity.

s = ut + 0.5gt^2       where s = distance, u = initial velocity, g = acceleration due to gravity and t = the time.

So we have:

1000 = 1600t  + 0.5* -32*t^2            ( acc due to gravity is negative as we are acting against it).

16t^2 - 1600t + 1000 = 0

t =  (1660 +/- sqrt(1600^2 - 4*16*1000) / 32

This gives t = 0.629 , 99.371 seconds.

So the time is above 0.6 seconds (to the nearest tenth) and before 99.4 seconds.

HELP PLEASE!!
Write an equation in slope-intercept form for the
graph below:

Answers

y=4x-3 ? The graph us kind of hard to see but I think that's the answer

Answer:

y=4x-3

Step-by-step explanation:

Step 1: plot a new graph cus this one is so hard to read. You know 2 points: (1,1) and (2,5)

Step 2: draw your line

Step 3: find your slope using RISE/RUN: 4/1

Step 4 find your y-int: -3

Hope that helps! Brainliest is appreciated

A swift is a bird that can fly 3 times faster than a wolf can run. A swift can fly 120 miles per hour. Which equation would be used to find how fast w, a wolf can run

120 x w = 3w

W x 3 =120

3 + w = 120

120 + 3 = 3

Answers

Answer:

It would be "W x 3 = 120"

Step-by-step explanation:

Why? Well, since a swift could run 120 miles an hour, that would be a necessity in the problem. It would be needed to find out how fast the wolf ran,  but, it cannot be the answer since we are trying to find out "how fast the wolf ran per hour". Right? No. Basically, you need to divide 120 by 3, which is 40. But which equals 40? None. Yes, none. No, to two answers. Why? Because you need to divide, so, the answer could be multiplication, but the opposite. You know if you know... Anyways, 120 x w = 3w is wrong due to the fact that it has no sign of division and the answer is way too large (I tried). 3 + w = 120 is definitely wrong. Why add? 3 + 40 is not 120. It's 43. Also, 120 + 3 is not 3, it's "123". So, the only answer left is "W x 3 = 120". But, how do we know that it's right? Well, think about it backwards. The swift is 3 times faster, so, the wolf times that 3 times faster is 120. And that is exactly what this problem is. By doing the problem backwards, we could find out that a wolf can run 40 miles per hour. Basically, 120 divided by 3, how much faster it is than a wolf, is 40. So, we could find out that a wolf could run 40 miles per hour.

Final Answer: W x 3 = 120

Answer:

The answer will be w×3=120

HELPPPPP PLEASEEEEEEEEEEE

Answers

Answer:

60 students are divided into equal groups of 5 student each.

Groups of 5 students per group totaled up to 60 students.

The quotient in both expression is 60:5 = 12 students per group.

Step-by-step explanation:

The ratio expression is a way of expressing the division of numerator by a denominator.

Here,

The total number of students is the numerator = 60

The denominator is the number of students per group = 5

Hence, the quotient is the value of the divison obtained which is (60/2) = 12

Therefore, there are 12 groups of 5 students.

Lucinda spent $95.40 on 4 video games. If each game was the same price, how much did he pay for each

Answers

Answer:

If they all cost the same price they should all cost $23.85

A woman has a square garden for strawberry planting.2 of the sides have fencing.The fencing is 40m in length.Find the maximum possible area.

Answers

Answer:

The maximum possible area is 1,600 m.

Step-by-step explanation:

You already have the two sides so you just multiply 40×40 and that gives you the area.

What is the change from -1 to 7

Answers

+8 because -1 + 8 = 7
The answer to this question would be 8.

write the equation of the line perpendicular to the given line y= -2/3 x + 1

Answers

since the equation of the line passing through the given point is perpendicular to the given line(m2= -1/m1)

using the formula y=mx+c

y=2/3x +1

m1=2/3

m2= -1/2/3

m2= -3/2

the slope of the second line is -3/2 and it passes through the point(3,-2)

using the formula y-y1 = m(x-x1)

y-(-2)= -3/2(x-3)

y+2= -3/2(x-3)

multiply both sides by 2

2(y+2) = -3(x-3)

2y+4 = -3x+9

2y = -3x+5

y= -3/2x + 5/2

What is the answer to -9u for u=-5

Answers

Answer:

-9 × u

= -9 × -5

= 45 [(-) × (-) = (+)]

Step-by-step explanation:

brainliest plz

Answer:

45

Step-by-step explanation:

-9(-5)=45

please mark me brainliest

Find the slope of the line that contains the points (2,5) and (4,8).

Answers

Answer: Slope = 3/2 or 1.5

Answer: y= 1.5 x+2 or y=3/2x+2

Step-by-step explanation:Slope (m) =

ΔY

ΔX

=

3

2

= 1.5

θ =

arctan( ΔY )

ΔX

= 56.30993247402°

ΔX = 4 – 2 = 2

ΔY = 8 – 5 = 3

Distance (d) = √ΔX2 + ΔY2 = √13 = 3.605551275464

y = 1.5x + 2

or

y =

3 x

2

+ 2

When x=0, y = 2

When y=0, x = -1.3333333333333

Need help ASAP plz help

Answers

The answer is the T and A

X-9/-4=7 what is the value of x?

Answers

Answer:

X= 19/4

Step-by-step explanation:

Answer:

4,75

Step-by-step explanation:

x-9:(-4)=7

-9:(-4) = +2,25

x+2,25=7 / -2,25

x= 7-2,25

x= 4,75

I will Brainlist Who can Answer this 4 Question Math

Match the situation with the corresponding linear system. Write the letter of your answer.​

Answers

Answer:

6) B

7) D

8) C

9) A

Step by step explanation:

6) Brand A sold 12 notebooks

Brand B sold 28 notebooks

7)

8) 30 pieces of 100-peso bills

10 pieces of 50-peso bills

9) 4 packages have 2 pieces

6 packages have 3 pieces.

The figure is a triangle that is divided into two parts. Angle A and angle E are right angles and the measure of angle F is 30 degrees. What is the measure of angle C? Complete the steps below to solve the problem using equations.

Part A
Let the variable g represent the measurement of angle G. Write and equation that you can use to solve for g.

Part B
What is the measurement of angle G?

Part C
Let the variable c represent the measurement of angle C. Use the measurement of angle G to write an equation that you can use to solve for c.

Part D
What is the measurement of angle C?

Answers

Answer:

Part A) g + 30 + 90 = 180

Part B) G = 60 degrees

Part C) c + 60 = 180

Part D) C = 120 degrees

Step-by-step explanation:

Part A: If angle F is 30 degrees and E is 90, then we can easily find G using the fact that the sum of a triangle is 180 degrees.

g + f + e = 180

g + 30 + 90 = 180

Part B: g + 30 + 90 = 180

g + 120 = 180

g = 60

Part C: Since G and C are on the same line and just separated by another line, we can use supplementary angles to find C.

c + g = 180

c + 60 = 180

Part D: c + 60 = 180

c = 120

Answer:

A:The sum of the angle measurements in a triangle is 180°. If e, f, and g are the measurements of angles E, F, and G, respectively, e + f + g = 180°.

Angle E is a right angle, so e is 90°. From the given information, f is 30°. Substitute the values of e and f in the equation to solve for g : 90° + 30° + g = 180°.

B:Solve the equation from Part A to find the measurement of angle G:

90° + 30° + g

180° – 90° – 30°

Angle G measures 60°.

C: Angle C and angle G are supplementary angles. The sum of supplementary angles is 180°. If c and g are the measurements of angles C and G, respectively, then c + g = 180°.

The value of g is 60°. Substitute 60° in the equation to get an equation in terms of c:

c + 60° = 180°.

D:Solve the equation from Part C to find the measurement of angle C:

c + 60°

=  180°

c

=  180° – 60°

c

=  120°.

Angle C measures 120°.

the exact answer from edmentum

Step-by-step explanation:

Simplify the expression using the order of operations. (21−3)÷32​

Answers

Step-by-step explanation:

(21 - 3) ÷ 32

BIDMAS

Brackets: 21 - 3 = 18

Division: 18 ÷ 32 = (0.5625)

the pool at the apartment is 30 feet long 20 feet wide and five feet deep it has been filled to 4 feet how many more cubic inches does it need

Answers

Answer:

600 cubic feet

Step-by-step explanation:

- (05.03)
An equation is shown below:
3/2x+ 7/2=2^x
What is the solution to the equation? (4 points)
x = 1
x = 3
x = 5
X = 8

Answers

Answer: x = 3

Step-by-step explanation:

What could be the possible one's digit of the square root of 3721 ?
3 , 4
1 , 9
6 , 7
7 , 8

Answers

Answer:

6,1 because 61's square root is 3721

Please actually help, and don't say random words to get the points​

Answers

Answer: X=3 Y=2

Step-by-step explanation: just looked it up

Saved
Question 11 (5 points)
What's 21-91 - 1-21?
O A) -20
B) 16
C) 20
D) -18
Any one know the answer I don’t know it

Answers

Its D. -18 hope this helps :D

Given: mIl n
m
46°
6x - 2
n
What is the value of x?
x=

Answers

Answer:

276 hope this helped :)

Step-by-step explanation:

When x^3 + kx^2 − 4x + 2 is divided by x + 2 the remainder is 26, find k.

Answers

Answer:

k = 6

Step-by-step explanation:

If I could get the answer that would be great

Answers

Answer-
Y=-2/3x+2
I hope this helps!

Answer:

Step-by-step explanation:

2x + 3y = 6

      3y = -2x + 6

Divide the entire equation by 3

[tex]\dfrac{3y}{3}=\dfrac{-2x}{3}+\dfrac{6}{3}\\\\\\y = \dfrac{-2}{3}x+2[/tex]   { y = mx +b}

please somebody answer this last one !!!!!!

Answers

Hope this helps :)

need more help just comment :) :)

Find each measure! Please please help me!!! 40 points!! No files!!!

Answers

Answer:

44º

44º

136º

22º

Step-by-step explanation:

If you want i can explain in the comments.

what is the recurring decimal of 0.68​

Answers

Answer:

0.68 repeating as a fraction

0.68 repeating as a fraction

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