There are 111 guest attending a party there are 15 servers each server has the same number of guest to serve Jess will serve any extra guest how many guest will Jess be serving? Please help me

Answer: The system of equations have many solutions and the correct options are A,B and D.

Explanation:

The given equations are,

[tex]2x+y=5[/tex]     ..... (1)

[tex]3y=15-6x[/tex]  .... (2)

Simplify the second equation.

[tex]3y+6x=15[/tex]

[tex]3(y+2x)=15[/tex]

Divide both sides by 3.

[tex]2x+y=5[/tex]

It is same as equation (1). Since equation (1) and (2) are same, therefore all the points lies on the line or which satisfies the equation are the solution of the given system of equations.

Test the points whether the point lies on the line or not.

Check for point A(6,-7).

[tex]2(6)+(-7)=5[/tex]

[tex]5=5[/tex]

LHS and RHS are equal, therefore the point A is the solution of the system of equations.

Check for point B(2,1).

[tex]2(2)+(1)=5[/tex]

[tex]5=5[/tex]

LHS and RHS are equal, therefore the point B is the solution of the system of equations.

Check for point C(-2,-9).

[tex]2(-2)+(-9)=5[/tex]

[tex]-13=5[/tex]

LHS and RHS are not equal, therefore the point C is not the solution of the system of equations.

Check for point D(-4,13).

[tex]2(-4)+(13)=5[/tex]

[tex]5=5[/tex]

LHS and RHS are equal, therefore the point D is the solution of the system of equations.

Therefore the options A,B and D are correct.

The points (6, –7), (2, 1), and (–4, 13) satisfies the equation and hence, will be the solution of the equation. The correct solution for this system is A, B, and D.

Given:

The given system of linear equations is,

[tex]2x + y = 5\\3y = 15 - 6x[/tex]

Equate the y coefficient of the equations and write them as,

[tex]6x + 3y = 15\\6x+3y = 15[/tex]

The given system of equation is the same equation and hence, will have infinite solutions.

Now, the solution of equation from the given options can be found by putting each point in the equation and checking for its satisfaction of the equation.

So, try All the points given. Point A(6,-7) Where x=6, y=-7

Put in equation.

[tex]-7+2(6)=5\\-7+12=5\\5=5[/tex]

Hence LHS=RHS

Point B(2,1), Where x=2, y=1

Put in equation.

[tex]1+2(2)=5\\1+4=5\\5= 5[/tex]

Hence, LHS= RHS

Point C(-2,-9), Where x=-2, y=-9

Put in equation.

[tex]-9+2(-2)=5\\-9-4=5\\-13\neq 5[/tex]

Hence LHS[tex]\neq[/tex]RHS

Point D(-4,13)

Where x=-4, y=13

Put in equation.

[tex]13+2(-4)=5\\13-8=5\\5=5[/tex]

Hence, LHS= RHS

Therefore, points (6, –7), (2, 1), and (–4, 13) satisfies the equation and hence. will be the solution of the equation.

Learn more about coordinate geometry here

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Answer:

the answer is 22

Step-by-step explanation:

because -3 is squared and that equals 6 and 6 times 5 equal 30 minus-8 equal 22

To determine which package is a better deal, we need to compare the price per bar of soap for each package. The second package is the better deal as it has a lower price per bar of soap.

The question is asking about the comparison of two different packages of soap based on their price and quantity. To determine which package is a better deal, we need to calculate the price per bar of soap for each package.

For the first package, we have 12 bars of soap for $10.00. To find the price per bar, we divide the total cost by the number of bars: $10.00 ÷ 12 = $0.83 per bar.

For the second package, we have 5 bars of soap for $4.00. Again, we divide the total cost by the number of bars: $4.00 ÷ 5 = $0.80 per bar.

Comparing the prices per bar, we can see that the second package is cheaper, so it is the better deal.

Answer:

25 mins

Step-by-step explanation:

After subtracting the cost of one bunch of baby's breath ($3.50) from the total budget ($16), you have $12.50 left for the roses. Since each rose costs $2.50, you can buy 5 roses to complete your bouquet within the budget.

To calculate the number of roses that can be bought, first, we need to subtract the cost of one bunch of baby's breath from the total budget for the bouquet. The cost of one bunch of baby's breath is $3.50. With a total budget of $16, we subtract the cost of baby's breath to see how much is left for the roses:

$16.00 - $3.50 = $12.50

Since each rose costs $2.50, we will divide the remaining budget by the cost of each rose to find out the number of roses that can be purchased:

$12.50 / $2.50 = 5 roses

Therefore, you can buy 5 roses along with one bunch of baby's breath to make up your $16 bouquet.

Answer:

The answer is 2.4%

Step-by-step explanation:

Answer: 90

Step-by-step explanation: Since there are 10 teams any given team will play all the other 9 teams resulting in 9 x 10 = 90.

The expressions which are equivalent are x - 2, -2 + x, and x + (-2) so, option A is correct.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.

Given:

The expressions are equivalent,

Expressions that function identically despite having distinct appearances are called equivalent expressions. If two algebraic expressions are equivalent, then when we enter the same value(s) for the variable, the two expressions have the same value (s).

As you can see in the options 2 - x because this will equal (-x +2) or 2 + (-x)

Thus, the expression which is not equivalent is 2 - x.

To know more about the expression:

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To round 9,513 to the nearest thousand, we look at the digit in the hundreds place (1) and determine if it is closer to 0 or 1,000. Since it is closer to 0, we round down. Therefore, 9,513 rounded to the nearest thousand is 9,000.

To round 9,513 to the nearest thousand, we look at the digit in the hundreds place (1) and determine if it is closer to 0 or 1,000. Since it is closer to 0, we round down. Therefore, 9,513 rounded to the nearest thousand is 9,000.

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Final answer:

The mass of the 5.50 cm³ cylinder of a substance with a density of 4.20 g/cm³ is 23.10 g.

Explanation:

To calculate the mass of the cylinder, you can use the formula: Mass = Density x Volume.

Given that the density of the substance is 4.20 g/cm³ and the volume of the cylinder is 5.50 cm³, you can substitute these values into the formula to find the mass.

Mass = 4.20 g/cm³ x 5.50 cm³ = 23.10 g.

The mass of the cylinder with a volume of 5.50 cm³ and a density of 4.20 g/cm³ is calculated using the formula Mass = Density × Volume, which results in a mass of 23.1 grams.

To calculate the mass of a cylinder of a substance when the volume and density are known, use the formula:

Mass = Density × Volume

Given that the density of the substance is 4.20 g/cm³ and the volume of the cylinder is 5.50 cm³, we can substitute these values into the formula:

Mass = 4.20 g/cm³ × 5.50 cm³

Mass = 23.1 g

The mass of the substance is 23.1 grams. It's important to note that the result should be reported with the appropriate number of significant figures. The original volume was given to three significant figures, so the final answer should also reflect three significant figures.