Every few years, Brendan's entire family gets together for a family reunion. This year,
Brendan's parents are hosting, and they have to cook a lot of food to feed the crowd.
Brendan has volunteered to do the most tedious job:
shelling peas.
There is a proportional relationship between the amount of time (in
minutes)
Brendan spends shelling peas, x, and the weight (in pounds) of the peas he has shelled,
у
х
y
(minutes) (pounds)
2
1
4
2
6
3
12
6
What is the constant of proportionality? My

Every Few Years, Brendan's Entire Family Gets Together For A Family Reunion. This Year,Brendan's Parents

Answers

Answer 1

Answer:

k = 0.5

Step-by-step explanation:

There is a proportional relationship between the amount of time in shelling peas 'x' and the weight of the peas 'y'.

Therefore, y ∝ x

⇒ y = kx

Here, k = proportionality constant

From the given table,

If family spends the time 2 minutes (x-value) in shelling 1 pound of peas (y-value),

1 = k × 2

k = [tex]\frac{1}{2}[/tex]

k = 0.5

Therefore, proportionality constant for the relationship is 0.5.


Related Questions

"At an ice cream shop, customers pay $3.00 for a medium ice cream plus $0.75 per topping. At a second ice cream shop, customers pay $5.25 for a medium ice cream plus $0.25 per topping. How many toppings would a customer have to order for the ice cream to cost the same at either shop?"

Answers

Answer:hope this helps

0.75x + 3 = 0.25x + 5.25

Constants are $3 and $5.25 respectively

Topping costs $0.75 and $0.25 respectively

To have same cost the toppings number would be different as cost is different.

Suppose the number of toppings is x in one shop and y in the other, then the spending if same, we get this equation:

0.75x + 3 = 0.25y + 5.25

Constants are $3 and $5.25 respectively

Which is a correct first step for solving this equation? 8−2(3−x)=4x+6 CLEAR CHECK Math item response image Math item response image Math item response image Math item response image

Answers

Answer:

The first thing that you would need to do is slove for your parentheses.

Step-by-step explanation:

PEMDAS

Answer:

Parentheses

Step-by-step explanation:

PEMDAS

Evaluate the expression:
1 - 2(x-y) when x = -2, y = 1

Answers

Answer:

7

Step-by-step explanation:

Plug in the values of x and y: 1 - 2(-2 - 1)Solve what's in parenthesis: -2 - 1 = -3Plug in -3: 1 - 2(-3)2 × -3 = -6Plug -6 in: 1 - -6Simplify: 1 + 61 + 6 = 7

I hope this helps!

Answer:

7

Step-by-step explanation:

Substitute the values into the corresponding variables.

1 - 2(-2 - 1)

1 + 4 + 2

= 7

Please I’m in a hurry!!!!

Answers

Answer:

3/2

Step-by-step explanation:

3^(-4+2-(-3))*2^(3-4)=3^1*2^-1=3/2

As the heart beats, blood pressure increases and
decreases. This happens cyclically at the rate of the
person's heart beat. A doctor is monitoring the blood
pressure of a patient whose heart rate is 70 beats per
minute. The maximum blood pressure over the course of
a 10-minute period is 120 mm/Hg and the minimum is 60
mm/Hg.
Find a sine function that models the person’s blood pressure as a function of time (in minutes).

Answers

Answer:

A

Step-by-step explanation:

Got it right on edge2020

The sine function that models the person’s blood pressure will be f(x) = 30 sin(Πx/5) + 90.

What is a function?

Function is a relationship between two sets X and Y where Set X is called domain and set Y is called codomain.

For example f(x)= sin x+ cos x

We have,

The Blood pressure of patient with the heart rate = 70 beats/ minute

And,

In next 10 minutes,

The maximum blood pressure i.e. (a + d) = 120 mm/Hg

The maximum blood pressure i.e. (-a + d) = 60 mm/Hg

So,

Sine function works on;

f(x) = a sin(bx + c) +d

So,

Now,

Adding Maximum and Minimum blood pressure,

i.e.

(a+d)+(-a+d) = 120 + 60

⇒a + d - a + d = 180

⇒ 2d = 180

d =90

So,

NOw, substituting this value in maximum blood pressure,

i.e. (a + d) = 120

a + 90 =120

a = 30

we have time period = 10 minutes,

So,

2Π/b = 10

⇒ b = Π/5

So,

Count is started at 0.

So, c = 0,

Putting the above value,

f(x) = a sin(bx + c) +d

⇒f(x) = 30 sin(Πx/5 + 0) +90

⇒f(x) = 30 sin(Πx/5) +90

Therefore, the sine function that models the person’s blood pressure as a function of time (in minutes) will be f(x) = 30 sin(Πx/5) + 90.

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Kelly wants to decrease her daily sugar intake from 40 grams of sugar to 30 grams of sugar. By what percentage does Kelly want to decrease her daily intake of sugar? O 10% O 25% O 75% O 905​

Answers

Kelly wants to reduce her sugar consumption by 25%.

Kelly wants to go from consuming 40 grams to 30 grams of sugar.

The percentage she wants to decrease by can be found by the formula:

= (Old intake - New Intake) / Old Intake

Solve the formula and the percentage is:

= (40 - 30) / 40

= 0.25

= 25%

In conclusion, Kelly wants to decrease her sugar intake by 25%.

Find out more at https://brainly.com/question/19183014.

Simplify by using order of operations: 4 + (9∙2) ÷ (4 - 1) - 4

Answers

Answer:

20

Step-by-step explanation:

Use PEMDAS

P = parenthesis

E = Exponents

M = Multiplication*

D = Division*

A = Addition**

S = Subtraction**

*either can come first, it just depends which comes first in the equation.

**either can come first, it just depends which comes first in the equation.

Step 1 : Write equation   4( 9 × 2 ) ÷ ( 4 -1 ) - 4

Step 2: Solve in parenthesis   4(18) ÷ (3) - 4

Step 3: Solve multiplication   72 ÷ 3 - 4

Step 4: Solve division               24 - 4

Step 5 : Solve subtraction         20

The simplified answers is -22.

What is order of operation?

The order of Operations is the rule in math that states we evaluate the parentheses/brackets first, the exponents/the orders second, division or multiplication third (from left to right, whichever comes first), and the addition or subtraction at the last (from left to right, whichever comes first). In math, there might be several operations to be done while evaluating an expression, and simplification at the end yields different results. However, we can only have one correct answer for any sort of expression. To identify the correct answer we simplify any given mathematical expression using a certain set of rules. These rules revolve around all the basic operators used in maths. Operators such as addition (+), subtraction (-), division (÷), and multiplication (×).

The order of operation can be termed as BODMAS.

Given:

4 + (9∙2) ÷ (4 - 1) - 4

=4+ (18) / (3)- 4

=22 / -1

=-22

Learn more about this concept here:

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help asap!! the curriculum is plato

Answers

It’s C hope it helps

if we have a geometric series with u1 = 2.1 and r= 1.06, what would the least value of n be such that Sn > 5543?

Answers

Answer:

  88

Step-by-step explanation:

Write the expression for the sum in the relation you want.

  Sn = u1(r^n -1)/(r -1) = 2.1(1.06^n -1)/(1.06 -1)

  Sn = (2.1/0.06)(1.06^n -1) = 35(1.06^n -1)

The relation we want is ...

  Sn > 5543

  35(1.06^n -1) > 5543 . . . . substitute for Sn

  1.06^n -1 > 5543/35 . . . .  divide by 35

  1.06^n > 5578/35 . . . . . . add 1

  n·log(1.06) > log(5578/35) . . . take the log

  n > 87.03 . . . . . . . . . . . . . . divide by the coefficient of n

The least value of n such that Sn > 5543 is 88.

Find the length of the line segment shown. Round your answer to the nearest tenth.

Answers

Answer:

[tex]d=10[/tex]

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step 1: Define endpoint coordinates

(2, 5)

(-6, -1)

Step 2: Substitute and Evaluate

[tex]d=\sqrt{(-6-2)^2+(-1-5)^2}[/tex]

[tex]d=\sqrt{(-8)^2+(-6)^2}[/tex]

[tex]d=\sqrt{64+36}[/tex]

[tex]d=\sqrt{100}[/tex]

[tex]d=10[/tex]


Find the measure of DCH.

Answers

Answer: angle DCH = 129 degrees

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

Work Shown:

Angles DCH and PCF are congruent because they are vertical angles.

angle DCH = angle PCF

5h+94 = 7h+80

94-80 = 7h-5h

14 = 2h

2h = 14

h = 14/2

h = 7

angle DCH = 5h+94

angle DCH = 5*7+94

angle DCH = 35+94

angle DCH = 129 degrees

angle PCF = 7h+80

angle PCF = 7*7+80

angle PCF = 49+80

angle PCF = 129

We get the same result for both angles, which confirms the correct h value.

What are the factors of 9a-3

Answers

Answer:

9, -3

Step-by-step explanation:

Answer:

9 and -3 are the factors of 9a-3

The guotient of z and 10 increased by 32.
(Algebraic expression)

Answers

Answer:

z/10 + 32

Step-by-step explanation:

What is the rise and run of the line D

PLEASE HELPPPP ANSWER this QUESTION WITH PROPER EXPLAINATIONNNN BRainliest will be givennn

Answers

Answer:

rise: 1

run: 2

rise over run 1/2

Step-by-step explanation:

to find slope move up one over 2 to the left

do any of y’all know how to do number 7?

Answers

Answer:

f(-3) = 2

f(-1) = 2

f(8) = 1

Step-by-step explanation:

Yep! For any function f(x), you find the y value corresponding the x value. For example, in this question, it asks us to find f(-3). Therefore, you go to the line, x = -3, and see where it intersect the function (the y value). Your answer would be the y value.

The value corresponding to f(-3) seems to be 2.

The value corresponding to f(-1) seems to be -2.

The value corresponding to f(8) seems to be 1.

Find the value of g (-2) if g(x) = x3 - x

Answers

Answer: -6

Step-by-step explanation:

See attached picture

an Elephant at the zoo Lost 24 pounds over 6 months. The elephant lost the same amount of weight each month. Write a integer that represents the change in the elephant’s weight each month.

Answers

Answer:

4

Step-by-step explanation:

24 divided by 6 equals 4

Answer:

...

Step-by-step explanation:


A tree grows 10 inches each year. When the tree is 6 years old, it is 108 inches tall.
Use this information to write an equation.
How tall will the tree be in 50 years?

Answers

It should be 608 inches because 10x50 is 500 and if you add the 108 inches to it then I it would be 608!

the graph of a linear function is given below. what is the zero of this function ?

Answers

Answer:

I'm pretty sure it B -3/2 because u start at -2(x) and go down 3 and right 2 and end at -2(y)

Step-by-step explanation:

Im sorry if u get it wrong plz tell me the right answer.

Answer:

The answer is -2

Step-by-step explanation:

Plato

Which table represents a nonlinear function?

Answers

Answer:

The middle one

Step-by-step explanation:

Answer: The Middle Graph - represents a nonlinear function

The table shows the changes in the times (in seconds) of four teammates. What is the mean change? Write your answer as a decimal. -2.43, -1.85, 0.61, -1.45

Answers

I’m about to answer give me one sec

Express the fraction 11/30 in decmail form

Answers

Answer:

.36666667

Step-by-step explanation:

0.3667
hope this helped

is 5/x+y=-7 linear or nonlinear

Answers

Answer:

Not linear.

Step-by-step explanation:

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be  0  or  1  for each of its variables. In this case, the degree of variable  y  is  1 , the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.

Please help. Will mark as Brainliest. ​

Answers

Answer: Choice A

Arithmetic, common difference = -10

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

Explanation:

We subtract 10 from each term to get the next one

5-10 = -5

-5-10 = -15

-15-10 = -25

This is the same as adding -10 to each term

5+(-10) = -5

-5+(-10) = -15

-15+(-10) = -25

So this is why the common difference is -10 and the sequence is arithmetic.

All of the points in the picture are one the same line

Answers

I think a=5 and b=6
Im pretty sure A=5 and b=6

1 1/2d-9=12 can you help explain how to do this

Answers

Answer:

d =14

Step-by-step explanation:

[tex]1\frac{1}{2} d -9 =12[/tex]

[tex]\frac{3}{2} d = 12+ 9[/tex]

[tex]\frac{3}{2} d =21[/tex]

[tex]d = 21 : \frac{3}{2}[/tex]

[tex]d = 14[/tex]

What is the maximum number of solutions each of the following systems could have?
Two distinct concentric circles:
Two distinct parabolas:
Aline and a circle:
A parabola and a circle:

Answers

Answer:

0

2

2

4

Step-by-step explanation:

Answers for entire assignment:

--> Page 1: 0 , 2 , 2 , 4

Page 2: D

Page 3: B

Page 4: Parabola , Line , A , B , C , 1 , -11 , 56

Page 5: Last one

Page 6: B , D , F , H

Page 7:

Use substitution to write the equation

–16t2 + 56t = –16t2 + 156t – 248.

Simplify and solve for t, which is 2.48 s.

Substitute 2.48 for t into either equation to get h = 40.5 ft.

--> 40.5 ft.

2. 1. POINT A HAS COORDINATES (4,6) AND POINT O IS AT THE ORIGIN. FIND THE DISTANCE FROM O TO A. A 6​

Answers

Answer:

√52 units

Step-by-step explanation:

Here we want to find the distance between two points;

O(0,0) and A (4,6)

We can use the distance formula to find this;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(4-0)^2 + (6-0)^2

D = √(16 + 36)

D = √52

So the distance between the two points is √52 units

while remodeling his kitchen, Arthur paints the cabinets. he estimates that he paints 30 square feet every 20 minutes. how many square feet does arthur paint per hour

Answers

Answer:

90 square feet per hour

What is the solution to this equation? 2 x + 3 = x − 4

Answers

Answer:

the answer is -7

Step-by-step explanation:

hope this helps

Answer:

-7

Step-by-step explanation:

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