Landon bought 4 pounds of walnuts for $10.92. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of walnuts, x?

Answers

Answer 1

Step-by-step explanation:

The constant of proportionality is the ratio of the cost to the number of pounds of walnuts.  In other words, it is the price of one pound of walnuts.

$10.92 / 4 lb = $2.73 / lb

Answer 2

The constant of proportionality that relates the cost in dollars, y, to the number of pounds of walnuts, x is $2.73 lb

What is constant of proportionality?

Firstly, there is proportional relationship.

Two values x  and  y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.

The constant k is called constant of proportionality.

The constant of proportionality can be calculated as the ratio of the cost to the number of pounds of walnuts.  

x = number of walnuts

y = cost of walnutsin dollars

In other words, it is the price of one pound of walnuts now we have;

Constant of proportionality =$10.92 / 4 lb = $2.73 / lb

Learn more about directly inversely proportional relationship variable here:

https://brainly.com/question/13082482

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In the equation 19.8 x 2.3 = n, what is the value of n?

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45.54

Step-by-step explanation:

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Answer:

n=45.54

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Step-by-step explanation:

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Answer:

The average rate of change of the function [tex]f(x)=x^2-2x-5[/tex]  for interval [tex]-5\leq x\leq 6[/tex] is -1

Step-by-step explanation:

We are given function [tex]f(x)=x^2-2x-5[/tex] and we need to determine the average rate of change of the function for interval [tex]-5\leq x\leq 6[/tex]

The formula used to find average rate of change is: [tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}[/tex]

We are given b=6 and a=-5

We need to find f(b) and f(a)

Finding f(b)

Putting x= 6 to find f(b)

[tex]f(x)=x^2-2x-5\\Put \ x=6\\f(6)=(6)^2-2(6)-5\\f(6)=36-12-5\\f(6)=19[/tex]

So, f(b)=19

Now finding f(a)

Putting x= -5 to find f(a)

[tex]f(x)=x^2-2x-5\\Put \ x=-5\\f(-5)=(-5)^2-2(-5)-5\\f(-5)=25+10-5\\f(-5)=30[/tex]

So, f(a)= 30

Finding average rate of change

[tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\Average \ rate \ of \ change=\frac{19-30}{6-(-5)}\\Average \ rate \ of \ change=\frac{-11}{6+5}\\Average \ rate \ of \ change=\frac{-11}{11}\\Average \ rate \ of \ change=-1[/tex]

Average rate of change = -1

So, average rate of change of the function [tex]f(x)=x^2-2x-5[/tex]  for interval [tex]-5\leq x\leq 6[/tex] is -1

6x + -2 =16 solve for x

Answers

Answer:

3

Step-by-step explanation:

+2 =18

18/6 =3

Answer:

x=3

Step-by-step explanation:

Move all terms that don't contain

x

to the right side and solve.

Can someone please help me

Answers

it’ll be B, think about it logically, u have to make the fraction have the same denominator, then u have to do the opposite of the equation (here u have x + *the fraction* meaning u have take that fraction away from the total fraction)

How do you find a unit rate for $2.50 for 5 ounces

Answers

Answer:

You divide 2.50 by 5.

So 2.50/5 makes it $0.50 per ounce.

Answer: $0.50 for 1 ounce

Step-by-step explanation:

To find a unit rate, you have to find the cost for one. When we say it's $2.50 for 5 ounces, it's for 5, not 1. So we have to divide by 5.

2.50/5= 0.5 and 5/5=1

definicion de hipotenusa

Answers

Answer:

La hipotenusa es el lado opuesto al ángulo recto en un triángulo rectángulo, resultando ser su lado de mayor longitud.

Step-by-step explanation:

Answer:

Lado opuesto al ángulo recto en un triángulo rectángulo.

please can you answer this ASAP

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Answer:

x = 2

Step-by-step explanation:

[tex] \rm Solve \: for \: x: \\ \rm \longrightarrow 4 (3 x - 1) = 20 \\ \\ \rm Divide \: both \: sides \: of \: 4 (3 x - 1) = 20 \: by \: 4: \\ \rm \longrightarrow \dfrac{4(3x - 1)}{4} = \dfrac{20}{4} \\ \\ \rm \dfrac{4}{4} = 1: \\ \rm \longrightarrow 3 x - 1 = \dfrac{20}{4} \\ \\ \rm \dfrac{20}{4} = 5: \\ \rm \longrightarrow 3 x - 1 = 5 \\ \\ \rm Add \: 1 \: to \: both \: sides: \\ \rm \longrightarrow 3 x + (1 - 1) = 1 + 5 \\ \\ \rm 1 - 1 = 0: \\ \rm \longrightarrow 3 x = 5 + 1 \\ \\ \rm 5 + 1 = 6: \\ \rm \longrightarrow 3 x = 6 \\ \\ \rm Divide \: both \: sides \: of \: 3 x = 6 \: by \: 3: \\ \rm \longrightarrow \dfrac{3x}{3} = \dfrac{6}{3} \\ \\ \rm \dfrac{3}{3} = 1: \\ \rm \longrightarrow x = \dfrac{6}{3} \\ \\ \rm \dfrac{6}{3} = 2 : \\ \rm \longrightarrow x = 2[/tex]

Answer X-2 hope this helped

Answer please
Fast



Fast

Answers

Answer:

A. 228.5

B. 10

Step-by-step explanation:

A. Since x represents the number of months, replace x with 6 in the equation. Then multiply 29x6, which equals 174. Then add 174+54.5, which equals 228.5.

B. You need to solve for x by switching the signs in the equation. Set the original equation (29x+54.5) equal to 344.50. To solve for x, first subtract 344.50-54.5, which equals 290 (you subtract because it's the opposite of adding). Then divide 290÷29, which equals 10. You can check your work by replacing x in the original equation with 10, and if you get 344.5, your answer is correct.

Good luck :)

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Answers

Answer:

5.5 miles

Step-by-step explanat

330 mph / 60 mph = 5.5 mph

Answer:

5 hours and 30 minutes

Step-by-step explanation:

Please help, I just started trig. Thanks!

Answers

Answer:

About 3.052 units

Step-by-step explanation:

I  presume you won't  need this explanation now,  but just in case;

If we draw triangle MNK, as  MN = NK we know is isosceles. Now let's draw an altitude to MK so that  it splits MK into two congruent parts (5/2 = 2.5). Given M<N = 110 degrees the altitude would split the angle into two congruent angles as well (Coincidence Theorem)---- 110/2 = 55 degrees.

Now let's study the smaller triangles, and take one as an example. Remember sin(theta) = opp/hyp. Applying this we have theta as 55 degrees, the opposite side as 2.5, and the hypotenuse is yet to be found (MN);

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Answers

Answer:

(x1y1)= (-8,-4)

(x2y2)= (4,-4)

here

slope= (y2-y1)/ (x2-x1)

= 0/ 12

= 0

Step-by-step explanation:

0

How many terms are there in the following expression: 3a + 3ab + 7b – 2c – 4d?
5
9
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1

Answers

Whatever the person on top

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             eergrwergtrw  

QUICK WILL MARK BRAINLIEST!!!

Jack was working on shooting free throws the ratio of the number of baskets made to the number of baskets missed was 10:6. Select ALL equivalent that represent the number of baskets jack made to the number of baskets jack missed

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Answer:

The Second, Fourth, and Fifth points on the graph

Finn, Jeff, Kevin

Step-by-step explanation:

hopefully this helped, if not HMU and I will get a better answer

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Answer:

11. C.

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Step-by-step explanation:

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19) stretched horizontal shifted 3 units left, and vertically shifted 5 units down

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Answer:

well 2^6 = 64 so 8x8, 32x2 and 16x4 would all be correct

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1. Unit cost
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Answers

Answer:

(-5,-3)

Step-by-step explanation:

y values minus y values over x values minus x values

What is the answer for this: f(x)=-5+1​

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Answer:

1 * -4 = -5 + 1

Step-by-step explanation:

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Answer:

if number was represented by x it would be x+5

Step-by-step explanation:

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Answers

Answer:

The measure of JK is 60

Step-by-step explanation:

It is given that the points F, G, and H are the midpoints of the sides of triangle JKL , FG = 37, KL = 48, and GH = 30.

The point F is midpoint of JK, point G is midpoint of KL and the point H is midpoint of LJ as shown in figure .

According to the midpoint theorem, the line connecting the midpoints of two sides is parallel to the third and its length is half of the third si

Answer:

60

Step-by-step explanation:

Henry showed all the steps he took to solve the equation. 4 (negative one-half x + 7) + 5 x = 15 Step Simplified Expression 1 -Negative 2 x + 28 + 5 x = 15 2 3 x + 28 = 15 3 3 x = 15 4 x = 5 Sammy tried to verify the solution by substituting x = 5 back into the original equation. It did not result in a true statement. Which explains why Henry's solution is incorrect? Step 1 is wrong because the distributive property of equality was used incorrectly. Step 2 is wrong because the addition property of equality was used incorrectly. Step 3 is wrong because the subtraction property of equality was used incorrectly. Step 4 is wrong because the division property was used incorrectly.

Answers

Answer:

Step 3 is wrong because the subtraction property of equality was used incorrectly

Step-by-step explanation:

Henry showed all the steps he took to solve the equation.

The steps as show in the question is

4 (negative one-half x + 7) + 5 x = 15 Step 1

-Negative 2 x + 28 + 5 x = 15

Step 2

3 x + 28 = 15

Step 3

3 x = 15

Step 4

x = 5

Verifying the steps

The steps as show in the question is

4 (negative one-half x + 7) + 5 x = 15 Step 1

-Negative 2 x + 28 + 5 x = 15 (Distributive property of equality) This is correct

Step 2

3 x + 28 = 15(Addition property of equality this is correct)

Step 3

3 x = 15 (Subtraction property of equality) This is incorrect

The correct form is

3x +28 - 28 = 15 - 28

3x = -13

Step 4

x = -13/3

x = - 4.3333333333

Henry's solution is incorrect because Step 3 is wrong because the subtraction property of equality was used incorrectly.

x = -4.3

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c

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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now lemme answer this. u did the same to me.. came to my question and answered wrong i mean nothing.

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