Ms. Rhodes purchased 8 pounds of potatoes for $18.08. At this rate, what is the cost per pound of potatoes?

Solve x2 + 1/2x +1/16=4/9

kolezko [41]

<u>Answer:</u>

x = 0.417 or x = -0.917

<u>Step-by-step explanation:</u>

We are given the following expression and we are to solve it for the variable x:

$x ^2 + \frac { 1 } { 2 } x + \frac { 1 } { 1 6 } = \frac { 4 } { 9 }$

We will find the least common multiple of 2. 6 and 9:

$x^2 \times 144 +\frac{1}{2}x \times 144 +\frac{1}{16} \times 144 = \frac{4}{9} \times 144$

Simplifying it to get:

$144x^2+72x+9=64$

$144x^2+72x+9-64=0$

$144x^2+72x-55=0$

Using the quadratic formula to solve for x:

$x=\frac{-b \pm\sqrt{b^2-4ac} }{2a}$

$x=\frac{-72 \pm\sqrt{72^2-4(144)(-55)} }{2a}$

$x=\frac{5}{12}$ or $0.417$

$x=-\frac{11}{12}$ or $-0.917$

3 0

3 years ago

Shannon went to an auto repair shop and paid $339.50, which included parts that cost $112 and 3.5 hours of labor. Joni went to a

QveST [7]

Answer:

im late but its d i hope

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Help please 11 POINTS

Y_Kistochka [10]

57.10
70.9
these are only the answers for the first two problems

4 0

3 years ago

Read 2 more answers

The number of loaves of bread purchased and the total cost of the bread in dollars can be modeled by the equation c = 3. 5b. Whi

Allisa [31]

You can use the fact that number of breads purchased cannot be negative since a customer either buys them or not and usually do not sell to the shopkeeper.(if somehow they end up selling to shop owner, then yes that will go in negative, but we'll assume it is wrong in most cases as generally shop owners are there to sell stuffs).

The third table of values matches the equation and includes only viable solutions.

<h3>What is a viable solution here?</h3>

It is talking about those solutions which are seen in real world. As stated above, a customer either buys the bread or not, thus number of breads sold will be either positive or 0(in case of no selling). Thus, we cannot have number of breads as negative.

Such solutions which are correct in the real world context here are called here as viable solutions.

<h3>Checking one by one all the tables for them being matched with table and viability</h3>

For first table, the number of breads are in negative, thus it is not going to have viable solution.

For second table, we have:

b = 0 thus c = 3.5b = 3.5 times 0 = 0 which is correctly given in second column.

b = 0.5, thus c = 3.5b = 3.5 times 0.5 =1.75 which is correctly given.

b = 1, thus c= 3.5 times 1 = 3.5 which is correctly given

b = 2001.5 thus c = 3.5 times 2001.5 = 7005.25 which is not correctly given, thus wrong.

For third table, we have:

b = 0, thus $c = 3.5 \times 0 = 0$ , correctly given in second column.

b = 3, thus $c = 3.5 \times 3 = 10.5$ , correctly given.

b = 6, thus $c = 3.5 \times 6 = 21$ , correctly given.

b = 9, thus $c = 3.5 \times 9 = 31.5$ , correctly given.

Thus, the third table of values matches the equation and includes only viable solutions.

Learn more about purchasing to cost relation here:
brainly.com/question/13727919

8 0

2 years ago

Please help!! There is a photo of my question

goldfiish [28.3K]

Answer:

0.03A + 0.03B = 800

A + B = 20000

Step-by-step explanation:

Let one part A of the total money invested with 3% interest = $A

Therefore, other part B of the money invested with 5% interest = $B

Interest = Principal amount × Rate of interest × Duration of investment

If the duration is 1 year,

Interest = Principal amount × Rate of interest

Return on part A = A × 0.03

Return on part B = B × 0.05

Total return = $800

So the equations will be,

0.03A + 0.03B = 800 -------(1)

Since, total money invested = $20000

Equation will be,

A + B = 20000 -------(2)

6 0

2 years ago