When comparing answers on a group assignment, Jenny and Jeremy found that their answers did not match.

Part 1: Who do you believe has the correct solution for the group assignment—Jenny or Jeremy? In two or more complete sentences, explain, in mathematical terms, the reasoning behind your conjecture.

Part 2: Use long division to convert the fraction provided in each of the student's answers to a decimal number. Include all of your calculations in your final answer.

Part 3: Using complete sentences, compare your conjecture in Part 1 with your results in Part 2. Was your conjecture correct or incorrect?

Answer:

[tex]\frac{10}{3}[/tex]

Step-by-step explanation:

We are given that an expression

[tex]5.\frac{2}{3}[/tex]

We have to multiply and find answer in improper fraction in simplified form

In order to find the answer we will multiply nominator by nominator  denominator remain same.

[tex]5\cdot \frac{2}{3}=\frac{10}{3}[/tex]

It is improper fraction and simplified from .

Answer:[tex]\frac{10}{3}[/tex]

Answer: 3/5

Step-by-step explanation:

The ratio shows how many times a number is contained in another. To express the ratio as a fraction in its lowest term, we convert 0.3km to metre.

1000 metre makes 1 kilometers. Therefore,

0.3km = 0.3 × 1000 = 300 metre

0.3 km to 500m= 300m to 500m

300m : 500m = 300/500

Reducing to its lowest term, 100 is a common factor.

300/500 = (100×3) / (100×5)

= 3/5.

consecutive even integers are 2 apart

so they are x and x+2

their sum is x+x+2

the sum is -50

so x+x+2=-50 would be the equation

we can simplify it to get 2x+2=-50

the answer is the 3rd option

183/3 = 61 which is the middle odd number

 you would then take the odd number below 61 and the odd number above 61 to equal 183

59 +61 +63 = 183

JoeBucannon's answer is in fact false, you cant really do that formula to find the answer, check it through a conversion calulator and you will find that 1.000000e+9µg is your answer.

(I really also dont wanna waste your time so 1.000000e+9µg = 10^9)

Answer:

[tex]6\frac{2}{3}[/tex]

Step-by-step explanation:

Candy buys 20 ounces of mixed nuts.

She puts an equal number of ounces in each 3 bags.

In each bag she can put = [tex]\frac{20}{3}[/tex]

                                         = [tex]6\frac{2}{3}[/tex]

She can put [tex]6\frac{2}{3}[/tex] ounces of nuts in each bag.

divide total miles driven by time:

105 miles / 2.5 hours = 42 miles per hour

The ratio, using whole numbers of the length to the width is [tex]\frac{26}{15}[/tex]

Given the following data:

To calculate the ratio, using whole numbers of the length to the width:

Ratio can be defined as a mathematical expression that is used to denote the proportion of two (2) or more quantities with respect to one another.

First of all, we would convert the mixed fraction to a proper fraction as follows:

For the length:

[tex]6\frac{1}{2}=\frac{13}{2}[/tex]

For the width:

[tex]3\frac{3}{4}=\frac{15}{4}[/tex]

Now, we can calculate the ratio, using whole numbers of the length to the width:

[tex]Ratio = \frac{length}{width} \\\\Ratio = \frac{\frac{13}{2} }{\frac{15}{4} } \\\\Ratio = \frac{13}{2} \times \frac{4}{15} \\\\Ratio =\frac{26}{15}[/tex]

Read more on ratio here: https://brainly.com/question/13513438

The angelfish has grown by 5/6 inches, which is equivalent to 5/72 feet when converted.

The question asks how much an angelfish has grown both in inches and in feet.

Part A: Growth in Inches

The angelfish was originally 1 1/2 inches long and grew to 2 1/3 inches. To calculate the growth, subtract the original length from the current length:

2 1/3 inches (current length) - 1 1/2 inches (original length) = 7/3 inches - 3/2 inches

To subtract, convert to a common denominator (6 in this case): 7/3 becomes 14/6 and 3/2 becomes 9/6,

14/6 - 9/6 = 5/6 inches

So the angelfish has grown by 5/6 inches.

Part B: Growth in Feet

Since 1 inch is 1/12 of a foot, to calculate the growth in feet, multiply the growth in inches by the conversion factor:

5/6 inches * (1 foot/12 inches) = (5/6) * (1/12)

Multiplying these fractions, we get 5/72 feet, which is the growth in feet.

P and L : 12 and 20 cm

Perimeter : 64 cm

Diagonal = 4√34

The playground is a rectangular shape. There are several properties possessed by rectangular shapes, namely:  

• 1. each angle is equal and is a right angle  

• 2. the diagonals intersect and divide each other equally  

• 3. sides facing the same length  

There are two rectangular shapes namely square and rectangle  

Square if all sides are the same length  

The formula used in rectangular is:  

• 1.Area  

Rectangle  

[tex]\large{\boxed{\bold{Area=w\:\times\:l}}}[/tex]

w = width  

l = length  

Square  

[tex]\large{\boxed{\bold{area=a^2}}}[/tex]

a = length of side  

• 2. perimeter  

Rectangle  

[tex]\large{\boxed{\bold{perimeter=2\times(w+l)}}}[/tex]

w = width  

l = length  

Square  

[tex]\large{\boxed{\bold{perimeter=4\times\:a}}}[/tex]

a = length of side  

P+L = 32 cm

Area = 240 cm²

Then

P = 32-L

Area = (32-L) x L

Area =32L-L²

240 = 32L-L²

-L²+32L-240=0

L²-32L+240 = 0

(L-12)(L-20)=0

L = 12 or L = 20

Then =P= 20 or 12

B)Perimeter= 2 x (P +L) = 2 x (12+20) = 64 cm

C) Diagonal

Phytagoras :

[tex]\rm diagonal=\sqrt{20^2+12^2}\\\\diagonal=\sqrt{400+144}\\\\diagonal=\sqrt{544}=4\sqrt{34}[/tex]

The ratio of the perimeters  

brainly.com/question/2142493  

The coordinates of the vertices of a rectangle  

brainly.com/question/11637180  

Solve the equation for w  

brainly.com/question/128917

[tex]\text{Use:}\ a^3-b^3=(a+b)(a^2-ab+b^2)[/tex]

[tex] x^3+1=0\\\\x^3+1^3=0\\\\(x+1)(x^2-(x)(1)+1^2)=0\\\\(x+1)(x^2-x+1)=0\iff x+1=0\ \vee\ x^2-x+1=0\\\\x+1=0\to x=-1\in\mathbb{R}-real\ solution\\\\x^2-x+1=0\\\\x^2-2\cdot x\cdot0.5+1=0\\\\\underbrace{x^2-2\cdot x\cdot0.5+0.5^2}_{(a-b)=a^2-2ab+b^2}-0.5^2+1=0\\\\(x-0.5)^2-0.25+1=0\\\\(x-0.5)^2+0.75=0\ \ \ |-0.75\\\\(x-0.5)^2=-0.75\iff x-0.5=\pm\sqrt{-0.75}\ \ \ |+0.5\\\\x=0.5-i\sqrt{0.75}\ \vee\ x=0.5+i\sqrt{0.75}\\\\x=\dfrac{1}{2}-i\sqrt{\dfrac{3}{4}}\ \vee\ x=\dfrac{1}{2}+i\sqrt{\dfrac{3}{4}} [/tex]

[tex]\boxed{x=\dfrac{1-i\sqrt3}{2}\ \vee\ x=\dfrac{1+i\sqrt3}{2}}[/tex]

[tex]\text{in standard form:}\ \boxed{x=\dfrac{1}{2}-\dfrac{\sqrt3}{2}i\ \vee\ x=\dfrac{1}{2}+\dfrac{\sqrt3}{2}i}[/tex]

Option: D is the correct answer.

     D. The domain would only include positive numbers.

Domain of a function--

It is the set of all the x-values or the values of the independent values for which the function is defined.

Here the function is used to represent the miles per gallon your car gets.

i.e. the independent variable is the number of gallons the car gets.

and the dependent variables is the number of miles covered by the car.

As the number of gallons of the car can't be negative or zero , it could be any positive number.

Hence, the domain would include any positive number.