A company orders 8 boxed lunches from a deli for $99.60. If each boxed lunch costs
the same amount, how much do 26 boxed lunches cost?

Answer:

Step-by-step explanation:

Given:

Simple Interest = $50

Principal Amount= $500

Rate of Interest = 9.5%

Find:

Time=?

The formula for Simple Interest is

I=PRT    

{I=Simple Interest

P=Principal amount

R=Rate of Interest

T=Time}

To find out the time for the simple interest to get to $50:

Acc. to the formula T=I/PR

i.e., T=50/(500*9.5/100)

      T=100*50/500*9.5

      T=100/95

      T=1.05 years

Therefore, it will take 1.05 years to get a simple interest of $50 at a rate of 9.5% for a principal amount of $500.

Answer:

[tex]x^2+9y^2=309[/tex]

[tex](x-3y)^2=177[/tex]

Step-by-step explanation:

Given equations:

[tex]\begin{cases}x+3y=21\\xy=22\end{cases}[/tex]

------------------------------------------------------------------------------------------

To find the value of x² + 9y²,  first rewrite 9 as 3²:

[tex]\implies x^2+3^2y^2[/tex]

[tex]\implies x^2+(3y)^2[/tex]

[tex]\boxed{\begin{minipage}{5cm}\underline{Sum of two squares}\\\\$a^2+b^2=(a+b)^2-2ab$\\ \end{minipage}}[/tex]

Apply the sum of two squares where:

[tex]\begin{aligned}\implies x^2+(3y)^2&=(x+3y)^2-2x(3y)\\&=(x+3y)^2-6xy\end{aligned}[/tex]

Substitute the given values of (x + 3y) and xy:

[tex]\begin{aligned}\implies (x+3y)^2-6xy&=21^2-6(22)\\&=441-132\\&=309\end{aligned}[/tex]

Therefore:

[tex]\boxed{x^2+9y^2=309}[/tex]

------------------------------------------------------------------------------------------

To find the value of (x - 3y)², expand:

[tex]\begin{aligned}\implies (x-3y)^2&=x^2-6xy+9y^2\\&=x^2+9y^2-6xy \end{aligned}[/tex]

Rewrite 9 as 3²:

[tex]\begin{aligned}\implies x^2+9y^2-6xy&=x^2+3^2y^2-6xy\\&= x^2+9y^2-6xy\end{aligned}[/tex]

[tex]\boxed{\begin{minipage}{5cm}\underline{Sum of two squares}\\\\$a^2+b^2=(a+b)^2-2ab$\\ \end{minipage}}[/tex]

Apply the sum of two squares  to x² + 9y² where:

[tex]\begin{aligned}\implies x^2+9y^2-6xy&=(x+3y)^2-2x(3y)-6xy\\&=(x+3y)^2-12xy\end{aligned}[/tex]

Substitute the given values of (x + 3y) and xy:

[tex]\begin{aligned}\implies (x+3y)^2-12xy&=21^2-12(22)\\&=441-264\\&=177\end{aligned}[/tex]

Therefore:

[tex]\boxed{(x-3y)^2=177}[/tex]

Answer:

C) nonlinear

Step-by-step explanation:

Answer:

C = nonlinear is the answer

The x-intercept has an ordered pair (-4, 0) and the y-intercept has an ordered pair(0,16).

In an alternative method, a linear polynomial over a field from which the coefficients are extracted is equalized to zero to produce a linear equation. The values that, when used as placeholders for the unknowns, result in the equality being true are the solutions to this kind of equation.

In this specific situation, where the variable is appropriately referred to as the unknown, the term "linear equation" frequently applies indirectly.

The Cartesian coordinates of a point on the Euclidean plane can be read as each solution in the case of two variables.

Given equation is:

-4x+y=16

For x-intercept, y=0

-4x+0=16

-4x=16

x= -4

The x-intercept has an ordered pair (-4, 0)

For y-intercept, x=0

-4(0)+y=16

y=16

The y-intercept has an ordered pair(0,16)

Therefore, The x-intercept has an ordered pair (-4, 0) and the y-intercept has an ordered pair(0,16).

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Answer: C. End of third day

Step-by-step explanation:

The question is asking when there will be 36 pieces left, so you start with the equation:

-6d + 54 = 36

Then, solve this equation:

-6d + 54 = 36

-6d = -18 (subtract 54 from both sides)

d = 3 (divide both sides by -6)

It will take 3 days until there are 36 pieces left, which is the end of the third day.

There is 20% decrease in the number of people who went to the pool over these four weeks.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

There is no dimension to percentages. As a result, it is known as a dimensionless number. When we say a number is 50% of anything, we mean that it is 50% of everything.

Attendance of pool in first week of July = 1120

In second week, 125 fewer people joined.

Thus, attendance in second week is = 1120-125 = 995

In third week, 130 more people joined.

Thus, attendance in third week is = 995+130 = 1125

In fourth week, 229 fewer people joined.

Thus, attendance in fourth week is = 1125-229 = 896

Difference of attendance in first and fourth week = 1120-896 = 224

Percentage decrease = (Decrease number/Initial number)×100%

= (224/1120)×100%

= 0.20×100%

= 20%

Thus, there has been a 20% decrease over the four weeks.

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Either the slope intercept form or the point-slope form can be used to express the equation of a line-, the line's equation is - 3x - 5.

A line's steepness and direction are measured by the line's slope.

Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

Any two distinct points on a line can be used to calculate the slope of any line.

The ratio of "vertical change" to "horizontal change" between two different points on a line is calculated using the slope of a line formula.

According to our question-

the points are given as

(x1,y1)=0,-5

(x2,y2)=-3,4

m = y2-y2/x2-x2

Hence, the line's equation is - 3x - 5.

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4 inches is the rim's radius

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Answer:

x ≥ 5

Step-by-step explanation:

5 + 2 (2x - 3) ≥ 3x + 4

5 + 4x - 6 ≥ 3x + 4

-1 + 4x ≥ 3x + 4

4x ≥ 3x + 5

x ≥ 5

Given graph is satisfied by System A.

Inequality refers to formulas or equations that define relationships (such as less than, larger than, etc.).

As for Type 1:

Consider the location (3,1) for y>2x.

1 > 6, which is false Hence Since the area opposite point (3,1) will satisfy the equation and since y > 2x and not y 2x, a dotted line will be drawn on the graph.

Consider (-3, -4) for x + 2y -8.

⇒ -3 + 2(-4) ≤ -8

Since x + 2y -8 and not x + 2y -8 is the correct equation, the area containing the points (-3, -4) will be included, and the line of the graph will be solid.

The presented figure is formed by these two equations.

Therefore, System A is accurate.

The Complete Question is inequality.

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The value of n when is divided by 6 and it gives 42 is 252

Division is the opposite of multiplication. If 3 groups of 4 make 12 in multiplication, 12 divided into 3 equal groups give 4 in each group in division and 12 divided by 4 gives 3 in each group. This means that 3 and 4 are factors of 12

When dividing a number by another number that is not it's factor, there will be remainder for example 12 divided by 5 . It will give 2 remainder 2. This is because 5 is not a factor of 12.

Similarly, n divided by 6 to give 42. This means that 42 and 6 are factors of n

Therefore to find n we multiply 42 and 6.

n = 42×6

n = 252

therefore the value of n is 252

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Answer:

I think she is forming a letter but not so sure. I don't understand your question. Sorry

distributive property

Answer:

2400

Step-by-step explanation:4152 is just 173% of d.

We create an equation d = 4152/1.73

after solving you get 2400.

If you think about this, we can figure out that 66 is 2/3 of 99. To find out what 2/3 of 125 is, we can divide 125 by 3.

So, no. This is not proportional.

If one amount is proportional to another, the two amounts increase and decrease at the same rate so there is always the same relationship between them.

The formula for a proportional equation is y = kx. The letters y and x are the variables in the equation. The letter k represents the constant of proportionality, which remains the same.

What is a proportional relationship example?

Now, we're going to consider an example of proportional relationship in our everyday life: When we put gas in our car, there is a relationship between the number of gallons of fuel that we put in the tank and the amount of money we will have to pay. In other words, the more gas we put in, the more money we'll pay.

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The solution of the set of equation 2x-3y=-6 and x+3y+-12 is (-6,-2).

By Substitution Method:

1. Resolve ONE of the x or y equations. If one of the equations has previously been solved for x or y, this step can be avoided.

2. Substitute the outcome for that variable in the other equation.

3. Either all x terms or all y terms will now make up the new equation. Fix the variable's place in the equation.

4. To obtain the alternative answer, plug the solution back into the beginning equation (the one you used to solve for x or y).

When using the Elimination method,

start by aligning the x- and y-coordinates on the same side of the equation.

2. Whichever you decide to remove, find a common multiple for the Xs OR the Ys.

3. To enable the addition of the equations, make one of those multiples negative.

4. One of the variables will be removed when the equations are combined. Give the variable that is still present its final solution.

5. To determine the other number, enter your response from step four into either of the equations.

Graphing a solution:

1. Rewrite the initial y equation in the form y = mx + b a. Step 2 can be immediately followed if the line has previously been solved for y.

2. Draw a line to represent the first equation.

3. Apply the second equation to steps 1 and 2 as before.

4. The intersection of the two lines represents the system's solution. There are infinitely many solutions if the lines match. There are no solutions if the lines are parallel and do not intersect.

Substitution methord,

The equations are

2x -3y = -6

⇒ x  = 3/2y - 3.

Putting this value in the second equation we get,

(3/2)y - 3 + 3y = -12

⇒(9/2)y = -9

⇒y = -2.

Therefore,

x = (3/2)y - 3 = (3/2)(-2) - 3 = -6

x = -6, y = -2.

By Elimination Methord ,

2x- 3y = -6

x + 3y =-12

simply adding both equation we get,

3x = -18

x = -6.

and y = -2

For graphical methord plot both lines in the graph then find the point where they intersect it will be (-6,-2).

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Points of inflection does this curve have is:

Concave Up: [tex]$\left(-\infty,-\sqrt{\frac{5}{3}}\right),\left(\sqrt{\frac{5}{3}}, \infty\right)$[/tex]

Concave Down: [tex]$\left(-\sqrt{\frac{5}{3}}, \sqrt{\frac{5}{3}}\right)$[/tex]

Points of Inflection: [tex]$(-1.2910,2.1111),(1.2910,2.1111)$[/tex]

To find the concavity of a function?

We need to take the second derivative.

y' = 4x^3 - 20x

y'' = 12x^2 - 20

Finding the points of inflection involves setting the second derivative equal to 0. Add 20 over, divide by 12, and take the square root. The positive and negative square roots of 5/3 are the potential points of inflection.

Setting up a number line can help to determine concavity. Let's plug in -2 into the second derivative. From this, we have found that from negative infinity to the negative square root of 5/3, the graph is concave up, as f''(-2) > 0. f''(0) < 0, so from the negative square root of 5/3 to the positive square root of 5/3, the graph is concave down. f''(2) is also > 0, and therefore from the positive square root of 5/3 to infinity, the graph is concave up.

Since the graph shifted direction at both potential points of inflection, they are both actually points of inflection. To find the y-values for each point of inflection, plug the x-value back into the original polynomial equation.

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Answer:

3/2

Step-by-step explanation:

slope = m = change in y/change in x OR y2-y1/x2-x1

change in y: -14 - -2= -12 (or -14 + 2, because two negatives make a positive)

change in x: -15- -7 = -8 (or -15+ 7 due to two negatives making a postive)

slope = -12/-8 = 3/2

The perimeter of the right triangle shown is given by the following option:

39 units.

The perimeter of a figure is composed by the sum of the lengths of the outer edges of the figure.

The sides of the right triangle in this problem are given as follows:

Then, applying the Pythagorean Theorem, the hypotenuse of the triangle is given as follows:

h² = 5² + 17²

h = square root(5² + 17²)

h = 17.7.

The hypotenuse is the third side length of the triangle, hence it's perimeter is calculated as follows:

5 + 17 + 17 = 39 units.

(I suppose there was a typing mistake on the options).

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Answer:

its D

Step-by-step explanation:

30

"NOT EVERYONE who attended ratio the fundraiser owned a home in the Hamptons or Palm Beach."

What is statement type questions?

In research, a statement of the problem is used as a claim that outlines the problem addressed by a study. The problem statement answers the question briefly: What is the problem that the research will address? What are the objectives of a problem statement?

Consider the following diagram in the attachment (12) for both statement

H = the number of people who owned a home in the Hamptons but did not own a home in Palm Beach.

P = the number of people who owned a home in Palm Beach but did not own a home in the Hamptons.

N = the number of people who did not own a home in Palm Beach or the Hamptons.

Union = H+P+180 Universal = H+P+180 + N P/H =??

Statement 1: (P+180) / (H + P + 180 + N) = 1/2 Inadequate

Statement 2: (H+180) / (H + P + 180 + N) = 2/3 Inadequate

1 and 2 statements

Solve for H and P to find P/H; however, N cannot be eliminated.

This is insufficient.

We should find the ratio of red boxes, however with the information provided, this is impossible.

"NOT EVERYONE who attended the fundraiser owned a house in the Hamptons or Palm Beach.".

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Answer:

5x + 16

Step-by-step explanation:

First you have to distribute the 2 into the parentheses

2 times x is 2x

2 times 6 is 12

so now the equation is

2x + 12 + 3x + 4

add the 2x and 3x and that is 5

so now the equation is...

5x + 12 + 4

add 12 + 4 and that is 16

so now the answer is

5x + 16

The amount of space occupied by a three dimensional figure as measured in cubic units. The radius of container is 2.6 inch.

Formula for the volume of cylinder

π r² h

where're is the radius .h is the height

According to the given question

shape of the container is cylindrical.

Height of the container, h = 12 inches

Volume of container = 258.75 cubic inches

for the radius of the container

volume of container =

258.75 = 3.14××12

258.75 =37.68×

⇒ = 2.6 inch

Hence, the radius of container is 2.6 inch.

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Answer:

Breadth = 10 ft

Step-by-step explanation:

Given information,

→ Perimeter (P) = 50 ft

→ Length (L) = 15 ft

→ Breadth (B) = ??

Now we have to,

→ find the required value of Breadth.

Formula we use,

→ P = 2(L + B)

Then the required Breadth will be,

→ P = 2(L + B)

→ 50 = 2(15 + B)

→ 30 + 2B = 50

→ 2B = 50 - 30

→ B = 20/2

→ [ B = 10 ft ]

Hence, required Breadth is 10 ft.

The inequality - 3x - 6 ≤ 12 represents a close circle at x = - 6 and will extend to infinity which is (C) the third line.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

The given inequality is - 3(x + 2) ≤ 12.

- 3x - 6 ≤ 12.

- 3x ≤ 12 + 6.

- 3x ≤ 18.

3x ≥ - 18.

x ≥ - 6.

This will be represented by a close circle at x = - 6 and will extend to infinity.

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Answer: p²+2pq+q²

Step-by-step explanation:

squaring a binomial works like this:

(p+q)² = (p+q)(p+q)

try the FOIL method: multiply the  first, outside, inside, and last numbers/variables to distribute properly

F: (p)(p) = p²

O: (p)(q) = pq

I: (q)(p) = pq

L: (q)(q) = q²

then add them all together

q²+pq+pq+q²

and combine like (identical) terms

q²+2pq+q²

it's 2pq because they're being added, not multiplied.

hope this helps!

Answer:

Step-by-step explanation:

Add them all together which is

ABC124A4B2C-16-3A3B-C  yep