5. For each scenario, fill in numbers in the blanks to create a scenario that
can be solved using a system of equations. Make sure the scenario that you
provide has ONE solution. Then, answer the questions that follow.
Scenario 1
There are
some are cows. There are
total animals in the barn. Some of the animals are chickens and
legs in all.
a. What is the system of equations that represents the scenario you created?
B. Prove your solution is correct.

Answer:

A

Step-by-step explanation:

Put Y=0

\(0 = 3(x - 2)(x + 6) \\ \)

Now

\(x - 2 = 0 \\ x = 2 \\ \\ \\ x + 6 = 0 \\ x = - 6 \\ \\ \)

so A is right option

Answer:

The polygon has 15 sides

Step-by-step explanation:

Angles in a Regular Polygon

A polygon with n sides has a total sum of internal angles equal to 180°(n-2). This means that in a regular polygon, each angle measures

\(\displaystyle \frac{180(n-2)}{n}\)

The regular polygon's interior angle is 156°, thus

\(\displaystyle \frac{180(n-2)}{n}=156\)

Multiply by n:

\(180(n-2)=156n\)

Operate:

\(180n-360=156n\)

Reducing:

\(24n=360\)

Solving:

\(n=15\)

The polygon has 15 sides

Answer: picture below :)

The values on the relative frequency table indicates;

Part A; 55%

Part B; 20%

Part C; There is an association between passing the exam and completing the exam review

The relative frequency table shows the mode of a dataset, from the sample obtained from a population.

The data in the table can be expressed as follows;

\({}\)                                           Passed exam Did not pass exam Row totals

Completed exam review \({}\)            55%        10%                         65%

Did not completed exam review\({}\) 20%       15%                          35%

Column Total \({}\)                               75%        25%                         100%

Part A; The above table indicates that the percentage who passed the exam given that they completed the exam review is 55%

Part B; The percentage that passed the exam given that they did not complete exam review is 20%

Part C; The conditional percentages of passing the exam and completing the exam review are very different indicating that there is an association between passing the exam and completing exam review

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Answer:

I think its gon be 24 guests

Answer:

24 people can be there at most :)

Step-by-step explanation:

$32 divided by 16(guests) is $2

so its $2 per person

so 48$ divided by $2 is 24

So Camille can invite 24 people at the cost of 48$ being her total at most :)

Answer:

26s-45

Step-by-step explanation:

This is according to a app that tells you the answer to the problem and this is right the app is always right i use it all the time

The solution for the given equation is C) \(x=\frac{-1+-\sqrt{33} }{4}\)

What does a quadratic function mean?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other words, a "polynomial function of degree 2" is a quadratic function.

The formula for the solution of a quadratic equation \(ax^{2} +bx+c=0\) is

\(x=\frac{-b+-\sqrt[2]{b^{2}-4ac } }{2a}\).

So, the solution for the equation \(2x^{2} +x-4=0\) is

\(x=\frac{-1+-\sqrt[2]{1^{2}-4*2*(-4) } }{2*2}\\x=\frac{-1+-\sqrt[2]{1+32 } }{4}\\x=\frac{-1+-\sqrt{33} }{4}\)

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Answer:

So to graph using a table, the first step is...well... make a table. so you have a column of x and y. under the x column write down a bunch of values you would like to test. I am going to test -2 through 2.

x | y

-2|

-1|

0 |

1 |

2 |

Next, we have to plug each of those values into the equation y=2x to see what the corresponding y value is.

when x=-2 y=2(-2)=-4, when x=-1 y=2(-1)=-2, and so on...

x | y

-2|-4

-1|-2

0 |0

1 |2

2 |4

Next, graph those points on a coordinate plane. Each row on the table is a point on the graph, (x,y).  Hope that helps!

Answer:

Carlos rode further on Sunday by 1 and StartFraction 51 over 56 EndFraction miles

Step-by-step explanation:

Carlos biked StartFraction 139 over 8 EndFraction miles on Saturday

= 139/8 miles

And on Sunday = StartFraction 135 over 7 EndFraction miles on Sunday.

= 135/7 miles

On which day did he ride further and by how much?

To calculate this, we have to find the difference between the number rode miles he rode on Saturday and Sunday

= Number miles(Sunday) - Number rod miles for Saturday

= 135/7 - 139/8

= LCD, Lowest Common Denominator

= 56

= 8(135) - 7(139)/56

= 107/56

= 1 51/56

Carlos rode further on Sunday by 1 and StartFraction 51 over 56 EndFraction miles

Answer:

d is the answer

Step-by-step explanation:

You didnt give the problem or explain anything all you said is what he has to pay i think you forgot to add something BUDDY careful next time =)

Answer:

2n - 50

n the unknown number

twice  = 2n

50 less than it = 2n - 50

Step-by-step explanation:

Step-by-step explanation:

If the line is parallel to y=2/3x+4 then,

m=m

slope of eqn y=2/3x+4

m=2/3(On comparing with y= mx + c)

the passing point is (3,7) then,

y-y1 = m(x-x1)

y-7=2/3(x-3)

y-7=2/3x -2

y-7= -4x/3

3y-7= -4x

4x + 3y - 7=0

So, The reqd eqn is 4x + 3y - 7 = 0

Answer:

63.75

Step-by-step explanation:

Answer:

21.25

Step-by-step explanation:

1/4 = 0.25 or 25%

because 0.25 is less than one, dividing will acually be mutiplying. So we have to mutiply to divide. 8*0.25 = 21.25.

answer is 21.25

The inequality that is true is: -1.5 > -0.5. (Option 1)

The number line goes from -3 to 3 in increments of 1, so there are 7 equally spaced numbers. Since there are 2 equal spaces between the numbers, each space represents (1/3) x 2 = 2/3 units.

To find the position of -1.5 on the number line, we start at -2 and move two-thirds of a unit to the right. To find the position of -0.5, we start at -1 and move two-thirds of a unit to the right.

Therefore, -1.5 is to the left of -0.5 on the number line, so the inequality -1.5 > -0.5 is true. The other option, -2.5 < -2, is not true because -2.5 is to the left of -2 on the number line.

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Answer:

369 miles

Step-by-step explanation:

82 miles =2 gallons

41 miles = 1 gallon

369 miles = 9 gallons

Answer:

369 miles

Step-by-step explanation:

Distance travelled in 1 gallon gasoline = 82 miles

So, distance travelled in 1 gallon gasoline

= distance travelled in 2 gallon gasoline/2

= 82 miles/2

= 41 miles

So, distance travelled in 9 gallons gasoline

= distance travelled in 1 gallon gasoline × 9

= 41 miles × 9

= 369 miles

Answer:

-2

Step-by-step explanation:

First divide 18/-3 = -6

Then add 4 to -6

Answer is -2

Answer:

Mid - point = ( 2 , 1 )

Step-by-step explanation:

Let A = ( - 4 , 2 ) and B = ( 8 , 0 )

Let P = ( x , y ) be the mid-point of AB

Then,

     \(P = (\frac{x_A + x_B}{2} , \frac{y_A + y_B}{2} ) \\\\P =(\frac{-4+8}{2} , \frac{2+0}{2}) \\\\P = ( \frac{4}{2} , \frac{2}{2} )\\\\P = ( 2 , 1)\)

Answer:

(2,1)

Step-by-step explanation:

Hi there!

Midpoint: \((\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )\) where two endpoints of a line segment are \((x_1,y_1)\) and \((x_2,y_2)\)

Plug in the given points (-4,2) and (8,0)

\((\frac{-4+8}{2} , \frac{2+0}{2} )\\(\frac{4}{2} , \frac{2}{2} )\\(2, 1)\)

Therefore, the midpoint of the line segment is (2,1).

I hope this helps!

Answer:

76 passengers

Step-by-step explanation:

100-36 is 64 and that makes 64 + 36 =100-30 is 70% and we have 36 + 40 =76

There were 300 passengers.

Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions.

Given:

Fraction of British = 2/5

Percent of British men = 30%

Number of British men = 36

let the British passenger be x

30 /100 * x= 36

x=120

and let the total passenger by y

2/5 of y = 120

y= 120 * 5/2

x= 300

Hence, there were 300 passengers.

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Step 1

Multiple both fractions

Step 2

Multiply numerator with numerator and denominator with denominator.

Final answer

3230 Kilograms of the soil supplement are required for the entire Vineyard.

Some units that need to be recalled are as follows:

1 km = 1000 m

1 km^2 = 1000000 m^2

1 km^2 = 247 acres

1 kg = 1000 g

Let's tackle the problem now:

A vineyard has 145 acres of Chardonnay grapes.

145 acres = \(\frac{145}{247}\)× 1 km^2

145 acres = 145/247 km^2

145 acres ~ 0.587 km^2

A particular soil supplement requires 5.50 grams for every square meter of vineyard

1m^2 → 5.50 gram

1 km^2 = 10^6 →5.50 x 10^6 gram

1 km^2 →5.50 x 10^6 x 10^-3 kg

1 km^2 →5.50 x 10^3 kg

145 acres = 145/247 km^2 →145/247 x 5.50 x 10^3 kg

145 acres → 797500/247 kg

145 acres → 3230 kg

It required 797500/247 kg ~ 3230 kg of the soil supplement for the entire Vineyard.

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Answer:

A box of 144 chocolate bars for 72 dollar.

Then each chocolate bar costs: 144/72 = 2 dollar

=> Price up to 50%: P = 2 x (1 + 50/100) = 2 x 3/2 = 3 dollar

Hope this helps!

:)

To calculate the energy of the resulting explosion when a 10,000 kg UFO made of antimatter crashes with a 40,000 kg plane made of matter, we can use Einstein's famous equation, E=mc², which relates energy (E) to mass (m) and the speed of light (c).

In this case, we'll need to calculate the total mass of matter and antimatter involved in the collision and then use the equation to find the energy released. The equation E=mc² states that energy is equal to the mass multiplied by the square of the speed of light (c). In this scenario, we have a collision between a UFO made of antimatter and a plane made of matter. Antimatter and matter annihilate each other when they come into contact, resulting in a release of energy.

To calculate the energy of the resulting explosion, we need to determine the total mass involved in the collision. The total mass can be calculated by adding the masses of the UFO and the plane together. In this case, the UFO has a mass of 10,000 kg and the plane has a mass of 40,000 kg, so the total mass is 50,000 kg.

Next, we can use the equation E=mc² to calculate the energy. The speed of light (c) is a constant value, approximately 3 x 10^8 meters per second. Plugging in the values, we have E = (50,000 kg) x (3 x 10^8 m/s)². Simplifying the equation, we have E = 50,000 kg x 9 x 10^16 m²/s².Multiplying the numbers, we get E = 4.5 x 10^21 joules. Therefore, the energy of the resulting explosion when the UFO and plane collide is approximately 4.5 x 10^21 joules.

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Answer:

3ft tall yes 2ft and 12inches no

Step-by-step explanation:

hope this helps

Answer:

\(650\)

Step-by-step explanation:

\(Well, we\ can\ solve\ the\ question\ by\ following\ some\ simple\ steps.\\Lets\ first\ set\ up\ an\ equation\ representing\ the\ Sum\ as\ S.\\Hence\ let\ this\ be\ E_1,\\S=1+2+3....50\ \\Now,\\By\ focusing\ on\ the\ RHS\ of\ the\ equation,\\1+2+3...50=50+49+48....1 [Commutative\ Property\ Of\ Addition]\\Hence\ let\ this\ be\ E_2,\\S=50+49+48....1\\By\ adding\ E_1\ and\ E_2,\\S=1+2+3...50\\S=50+49+48...1\\We\ get,\\2S=51+51+51.....51\\\)

\(The\ 51\ in\ the\ RHS\ recurs\ 50\ times.\\Hence,\\2S=51*50\\S=\frac{51*50}{2}\\S=51*25 =1275\)

\(Now,\\As\ we\ know\ that,\\The\ sum\ of\ all\ odd\ positive\ integers\ to\ a\ number\ n, where\ x\ is\ the\ number\ of\\ integers\ between\ 1\ and\ n, is\ given\ by\ the\ formula: \\S_{(all\ odds\ till\ n)}=x^2\\Now,\\x=\frac{(n+1)}{2}\\Hence,\\S_O= [\frac{(n+1)}{2}]^2\\Hence,\\As\ n\ can\ only\ be\ odd,\ n=50-1=49\\Hence,\\S_O=[\frac{(49+1)}{2}]^2\\S_O=25^2\\S_O=625\\If\ Sum\ of\ all\ even\ integers\ would\ be\ S_E,,\\As\ S_O+S_E=S\\Hence,\\625+S_E=1275\\Hence,\\S_E=1275-625\\S_E=650\)

Answer:

The Circumference of the circle = C = 24π mm

Hence, option C is true.

Step-by-step explanation:

Given

Radius  r = 12mm

To Determine

Circumference of circle C = ?

Using the formula to determine the Circumference of the circle

C = 2πr

substituting r = 12mm in the equation

C = 2π(12)

C = 24π mm

Therefore, the Circumference of the circle = C = 24π mm

Hence, option C is true.

Answer:

B

Step-by-step explanation:

;)

The probability is 0.4647.

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Step-Answer:

please mark brainieast

Step-by-step explanation:

Answer: 0 does not =29 and result means the effect of a sequence

Step-by-step explanation:

3(x-7) +9x= 4(3x+ 2)

3x -21 +9x= 12x +8

12x -21=12x +8

0 does not= 29