Tom owns a Pizza Restaurant. Expenses for the restaurant include raw material for pizza at $7.02 per slice, $121.00 as monthly rental and $56.00 monthly as insurance. A restaurant sells pizza at a rate of $12.02/slice. How many slices should the restaurant sell in a month to break even

The simplest form of fraction of the given terms is 43/40.

According to the statement

we have to find that the simplest form of the fraction by evaluating.

So, For this purpose, we know that the

A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole.

The given expression is

7/8+ 1/5

Now, to solve it take a LCM of it then

35+8/40

Now solve the term then the equation become

43/40.

Now, The simple form of the fraction become the 43/40.

So, The simplest form of fraction of the given terms is 43/40.

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Method 1: Factoring

m^2 + 7m + 10

We need to find two numbers that multiply to 10 and add up to 7. These numbers are 2 and 5.

m^2 + 2m + 5m + 10

(m + 2)(m + 5)

n^2 + 9n + 18

We need to find two numbers that multiply to 18 and add up to 9. These numbers are 3 and 6.

n^2 + 3n + 6n + 18

(n + 3)(n + 6)

p^2 - 6p + 8

We need to find two numbers that multiply to 8 and add up to -6. There are no such numbers, so we cannot factor this quadratic.

Method 2: Quadratic Formula

m^2 + 7m + 10

a = 1, b = 7, c = 10

m = (-b ± sqrt(b^2 - 4ac)) / 2a

m = (-7 ± sqrt(7^2 - 4(1)(10))) / 2(1)

m = (-7 ± sqrt(9)) / 2

m = -5 or -2

n^2 + 9n + 18

a = 1, b = 9, c = 18

n = (-b ± sqrt(b^2 - 4ac)) / 2a

n = (-9 ± sqrt(9^2 - 4(1)(18))) / 2(1)

n = (-9 ± sqrt(9)) / 2

n = -3 or -6

p^2 - 6p + 8

a = 1, b = -6, c = 8

p = (-b ± sqrt(b^2 - 4ac)) / 2a

p = (6 ± sqrt(6^2 - 4(1)(8))) / 2(1)

p = (6 ± sqrt(16)) / 2

p = 2 or 4

Therefore, the solutions to the quadratics are:

m^2 + 7m + 10 = (m + 2)(m + 5) or m = -5 or -2

n^2 + 9n + 18 = (n + 3)(n + 6) or n = -3 or -6

p^2 - 6p + 8 = (p - 2)(p - 4) or p = 2 or 4

The total number of two-person tents taken on the camping trip was 0, and the total number of four-person tents taken on the camping trip was 50.

The total number of tents taken on the camping trip was 60, and the total number of people was 202. We want to determine how many of each type of tent were taken. Let x represent the number of two-person tents and y represent the number of four-person tents. We can use the following equation to solve for x and y:

2x + 4y = 202

After rearranging the equation to solve for x, we get x = (202 - 4y)/2. Substituting this into the equation, we get 2((202 - 4y)/2) + 4y = 202. Simplifying, we get (202 - 4y) + 4y = 202. Then, 0 + 4y = 202. Dividing both sides by 4, we get y = 50.5. Plugging this value into the equation x = (202 - 4y)/2, we get x = (202 - 202)/2, which simplifies to x = 0.

Therefore, the total number of two-person tents taken on the camping trip was 0, and the total number of four-person tents taken on the camping trip was 50.

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Answer:

x=1

Step-by-step explanation:

to solve,

so,

first of all let's put the values,

f(x²-2)=g(x+5)

x(x²-2)+5=x²(x+5)-2

x³-2x+5=x³+5x-2 (opened the bracket)

x³-x³-2x-5x+5+2=0(arranged the like terms)

-7x+7=0

-7x=-7{brought (+7) to RHS which is (-7)}

x=(-7)/(-7) [ (-7) was in multiplayer state by putting it in another side it changes into division state]

x = 1 { (-7)/(-7) divided by 1 and minus cancelled}

Answer:

-21

Step-by-step explanation:

y/x=constant

24/40=y/(-35)

y=-35(24/40)

y=-21

The correct answer is option g. Median. The median is the value that separates the higher half from the lower half of a dataset.

It is defined as the middle value of a set of numbers when the set is arranged in numerical order. If the set has an odd number of values, the median is the middle value. If the set has an even number of values, the median is the average of the two middle values. The median is a useful measure of central tendency because it is not influenced by outliers and extreme values, unlike the mean. It is also a robust statistic, meaning that it is relatively stable in the face of small changes in the data.

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Answer:

0-2 x-intercepts and 0-1 y-intercepts

Step-by-step explanation:

A quadratic function can have anywhere from 0 to 2 x-intercepts. This is possible because a function can have 0, 1, or 2 solutions.

A parabola can also have either 0 or 1 y intercepts. It is possible for the function to not intercept the y axis at all, and it is also possible for it to intercept it exactly one time.

Answer: m Angle a + 60° + 55°=180°

Step-by-step explanation: got it right on edge

The solution is Option B.

The sum of the angles of a triangle mAngleA + 60° + 55° = 180°

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ABC

Now , the first measure of angle = 55

The second measure of angle = 60

The angle of the first ∠A = 180 - ( first measure of angle + second measure of angle )

Substituting the values in the equation , we get

For a triangle , ∠A + ∠B + ∠C = 180°

So , sum of the angles of a triangle mAngleA + 60° + 55° = 180°

Hence , the angles of the triangle is solved

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Answer:

1.  3³

2.  (-5)⁴

3.  3¹⁰

4.  4⁰

Step-by-step explanation:

When multiplying exponents with the same base, you add the exponents.  When dividing exponents with the same base, you subtract the exponents.  When raising a number with an exponent to another power, multiply the exponents.

1.  \(\frac{3^4*3^6}{3^2*3^5} =\frac{3^{10}}{3^7}=3^3\)

2.  \(\frac{(-5)^{12}}{(-5)^3*(-5)^5} =\frac{(-5)^{12}}{(-5)^8}=(-5)^4\)

3.  \((3^2)^5=3^{10}\)

4.  \(\frac{4^0*4^4}{4^1 * 4^3} =\frac{4^4}{4^4}=4^0\)

Answer:

18

Step-by-step explanation:

I hope this helps!

Sara needs 4.75 cans of 40 packages of Cute Puppy to feed her puppies for two months.

To determine the number of can packages of cute puppies that Sara needs to purchase, we need to divide the total number of cans eaten by the two puppies by the 40 can package using a fraction method.

A fraction is a number that shows the numerator and denominator separated by a division line.

Sara has two puppies:

Since Sonny eats 8.25 can of food per week.

There are 8 weeks In two months. As such, Sonny will eat:

Cher will eat (15.5 × 8) cans in two months

The total number of cans eaten by the two puppies is:

Recall that:

Therefore;

= (190 /40) cans

= 4.75 cans

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Answer:

$843.27

Step-by-step explanation:

We'll use the compound interest formula: A = P(1 + r)ⁿ

A = Final amount

P = Starting amount (625)

r = rate (0.105)

n = Years (3)

Our equation should look like this

A = 625(1.105)³

Now just calculate

A = 625(1.349232625)

A = 843.270390625

Given a point with coordinates (x, y), to rotate 90º counterclockwise, the rule is:

In thisc ase, we have the point:

Applying the rule:

Answer:

Option (3)

Step-by-step explanation:

Properties for the vertical stretch or shrink of a function,

If a function is f(x) = k|x|

1). Function will be vertically stretched if k > 1

2). Function will have a vertical shrink if 0 < k < 1

To fit the given data graph of f(x) = |x| will vertically shrink without any translation along x or y-axis.

And the value of k will be, 0 < k < 1.

Therefore, g(x) = \(\frac{1}{3}f(x)\) will be the transformed graph.

Therefore, Option (3) will be the correct option.

Given:

y = 6

z = 2

To find:

value of expression 3y - z/y + 5z or (3y-z)/(y+5z)

Steps:

substituting the values we get,

3(6)-2/6 + 5(2)

= 18 - 1/3 + 10

= 27 + 2/3

since thats not there in the options i will try the 2nd one, (next time when writing question pls put brackets to signify if we to divide 2 numbers by and number

\(\frac{3(6)-2}{6+5(2)}\)

\(=\frac{18 - 2}{6 + 10}\)

\(= \frac{16}{16}\)

\(= 1\)

Therefore, the answer is option A) 1

Happy to help :)

If u need help, feel free to ask

Answer:

Step-by-step explanation:

Answer:

a and b

Step-by-step explanation:

I already answered it

Answer:

y = -0.5x + 1

Step-by-step explanation:

slope-intercept form is y=mx+b where m = slope and b = y-intercept

b = y value when x = 0

as shown in the chart, when x = 0, y = 1 so b = 1

m = vertical change/horizontal change

as shown in the chart, when x moves 2u right, y moves 1u down

m = -1/2 = -0.5

plugging in m and b into the formula y=mx+b, we get:

y = 0.5x + 1

The probability that it takes from 2 to 3 minutes to fill an order is approximately 0.2562 or 25.62%.

Given that the time it takes for orders to be filled is exponentially distributed with a mean of 1.5 minutes.

We know that the probability density function (PDF) of exponential distribution is given by:

f(x) = (1/β) * e^(-x/β)

where β is the mean of the distribution.

Therefore, in this case, the PDF is:

f(x) = (1/1.5) * e^(-x/1.5)

To find the probability that it takes from 2 to 3 minutes to fill an order, we need to calculate the area under the PDF curve between 2 and 3 minutes.

P(2 < x < 3) = ∫2^3 f(x) dx

= ∫2^3 (1/1.5) * e^(-x/1.5) dx

= [-e^(-x/1.5)]2^3

= e^(-2/1.5) - e^(-3/1.5)

= 0.2562

Therefore, the probability that it takes from 2 to 3 minutes to fill an order is approximately 0.2562 or 25.62%.

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Answer: The following is listed below.

Step-by-step explanation: The following pairs are below:

Now, all you have to do is do the following pairings that I listed above with a partner and you're all good to go!

Remember, 0.25￠is a quarter, 0.10￠is a dime, 0.05￠is a nickel, and 0.01￠is a penny.

Have a great day! :)

Answer:

A and D

Step-by-step explanation:

Answer: -5/3

Step-by-step explanation:

Answer: m = -4/3

Step-by-step explanation:

If you're given two different coordinates, and you want to find the slope, the general rule is that you subtract the first coordinates from the first. The formula for these kinds of problems is \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\) .

Answer:

-97

Step-by-step explanation:

-38 + (-59)

-8 + (-9) = -17

-30 + (-50) = -80

-80 + -17 = -97

Answer:

(0,0)

Step-by-step explanation:

(0,0)

Answer:

12/35

Step-by-step explanation:

(6/7)*(2/5)=(12/35)

Answer:

12/35 don't know if you haft to simplify tho

Step-by-step explanation:

6/7×2/5=12/25

Answer:

i think ANSWER IS 8

Step-by-step explanation:

48÷8 = 6

Answer:

8 would be your answer if I'm wrong pls let me know and I will edit soon as posable.

Step-by-step explanation:

the way I did it was doing 48 divided by 6 and I got the answer 8 meaning 8 would be the correct answer

Using trigonometric function the value of x is 51.3°.

What is trigonometric function?

The functions of an angle in a triangle are known as trigonometric functions, commonly referred to as circular functions. In other words, these trig functions provide the relationship between a triangle's angles and sides. There are five fundamental trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.

Here Let us take the given right triangle as ABC.

∠A = x , ∠B = 90° and AB = 25 , AC= 40

Now using Cosine ratio then

Cos  A = \(\frac{adjacent}{hypotenuse}\)

=> cos x = \(\frac{25}{40}\)

=> cos x = \(\frac{5}{8}\)

=> x = \(cos^{-1}\frac{5}{8}\)

=> x = 51.3°

Hence the value of x is 51.3°.

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Answer:

20

Step-by-step explanation:

u have to look at the 9 after the decimal and if it is 5 or above then it goes up

Answer:

20

Step-by-step explanation:

the 9 would move the 19 up to a 20. Hope that this helps you and have a great day :)

Answer:

I think it is 2x^7 as the answer

Answer:

x = 6

Step-by-step explanation:

(In reference to my diagram.... my diagram is similar to the diagram in the question)

We know that diagonals of a square bisect each other at right angles.

In ΔBOC ,

•OB = OC (Diagonals of square bisect each other)

=> ∠OBC = ∠OCB = (7x + 3)°        (∵ OB = OC)

• ∠BOC = 90° (Diagonals intersect at right angles)

Using angle sum property of triangle ,

∠OBC + ∠OCB + ∠BOC = 90°

\( = > 7x + 3 + 7x + 3 + 90 = 180\)

\( = > 14x + 6 = 180 - 90 = 90\)

\( = > 14x = 90 - 6 = 84\)

\( = > x = \frac{84}{14} = 6\)