You work at Mike's pizza shop. You have the following information about the 7 pizzas in the oven: 3 of the 7 have thick crust and 2 of the 3 thick crust pizzas have mushrooms. Of the remaining 4 pizzas, 2 have mushrooms. Choose a pizza at random from the oven. Make a two-way table to model this chance process.
make a Venn diagram to model this chance process.

Answer:

$60.00

Step-by-step explanation:

1/4(40) = 10

40 - 10 = 30

30+ 2 = 32

32 - 8 - 8 = 16

16 - 6 = 10

10 + 50 = 60

These can not be the sides of a Triangle.

What is a triangle and the response?

Triangles are a particular kind of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here.

                       Three-sided polygons include triangles. Three triangle angles added together equal 180 degrees.

Property of triangle

Sum of any two sides > third Side

4 , 5 , 6

4 + 5 > 6 , 4 + 6 > 5 , 5 + 6 > 4

3 , 4 , 5

3 + 4 > 5 , 3 + 5 > 4  , 4 + 5 > 3

2 , 3 , 4

2 + 3 > 4   , 2 + 4 > 3  , 3 + 4>2

1  , 2   , 3

1  + 2  = 3  

Sum of 1 & 2  is not greater than 3

Hence, these can not be the sides of a Triangle.

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Answer:

Step-by-step explanation:

12.1

Answer:

8 [tex]\frac{1}{10}[/tex]

Step-by-step explanation:

[tex]\frac{17}{20}[/tex] = [tex]\frac{34}{40}[/tex] Multiplied the numerator and denominator by 2

[tex]\frac{1}{2}[/tex] = [tex]\frac{20}{40}[/tex]  Multiplied the numerator and denominator by 20

[tex]\frac{3}{4}[/tex] = [tex]\frac{30}{40}[/tex]  Multiplied the numerator and denominator by 10

2 + 3 + 1 [tex]\frac{34}{40}[/tex] + [tex]\frac{20}{40}[/tex] + [tex]\frac{30}{40}[/tex]

6 [tex]\frac{84}{40}[/tex]  This can be written

6 + [tex]\frac{40}{40}[/tex] + [tex]\frac{40}{40}[/tex] + [tex]\frac{4}{40}[/tex]  another name for [tex]\frac{40}{40}[/tex] is 1

6 + 1 + 1 +[tex]\frac{4}{40}[/tex]

8[tex]\frac{4}{40}[/tex]  Divide the numerator and denominator by 4 to simplify

8 [tex]\frac{1}{10}[/tex]

The answer to this question would be 5 by 9.

Answer:

V = 72 cm³

Step-by-step explanation:

the volume (V) of a prism is calculated as

V = Ah ( A is the area of the triangular face and h is its height )

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here b = 12 and h = 6

A = [tex]\frac{1}{2}[/tex] × 12 × 6 = 6 × 6 = 36 cm² , then

V = 36 × 2 = 72 cm³

Answer:

$97

Step-by-step explanation:

For the given log function, the value of y is 8.

An exponent is a logarithm. In logarithmic form, any exponential expression can be rewritten.

Here given, log function :

Log 5 + Log y = Log 40

Can be also written as,

Log y = Log 40 - Log 5  => (eq1)

Based on log property we know that,

Log m - Log n = Log

That is,

Log 40 - Log 5 = Log

Also be written as,

Log 40 - Log 5 = Log 8   => (eq2)

By solving eq1 and eq2, we get,

Log y = Log 8

∴  y = 8

Therefore, The value of will be y = 8

Hence by solving  Log 5 + Log y = Log 40 , the value of y is 8.

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Value of y is 8.

What is a logarithmic equation?

The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 1000 is equal to 10³, its logarithm in base 10 is 3, or log₁₀ (1000) = 3. When there is no possibility of mistake or when the base is irrelevant, as in big O notation, the logarithm of x to base a is written as logₐ (x), logₐ x, or even without the explicit base, log x.

Given, the equation is log5 + logy = log40

log 40 can be written as log (5*8)

According to the logarithmic equation of log ab = log a + log b

Thus log 40 = log 5 + log 8

Now, the expression becomes

log5 + logy = log 5 + log 8

⇒ log y = log 8

⇒ y = 8

Thus, value of y is 8.

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Answer: 60%

Step-by-step explanation:

6/10 = 60/100 = 60%

Answer: 60%

Step-by-step explanation:

6/10=60/100

Answer:

-3x^2--20x+(y-8)=0

The width of the bumper sticker is 6 1/4 inches .

In order to determine the width of the bumper sticker, the first step is to determine the relationship between the height of the design and that of the bumper sticker.

The relationship can be determined by dividing the height of the bumper sticker by the height of the design.

Proportion of the heights = 3 1/2 ÷ 2

5/2 ÷ 2

= 5/2 x 1/2 = 5/4 = 1 1/4

Now, multiply the proportion of the heights by the width of the design :

Width of the design = 1 1/4 x 5

5/4 x 5/1 = 25/4 = 6 1/4 inches

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Answer: 6 1/4

Step-by-step explanation: stickers that can be custom screen printed. The most common or average size is probably the 3″ X 11.5″

Answer:

B

Step-by-step explanation:

(x - 1) and 74° are corresponding angles and are congruent , so

x - 1 = 74 ( add 1 to both sides )

x = 75

the top angle of the triangle are alternate angles and are congruent

top angle = 40°

the sum of the 3 angles in a triangle is 180°

sum the 3 angles and equate to 180

y - 2 + 40 + 74 = 180

y + 112 = 180 ( subtract 112 from both sides )

y = 68

Answer:

Acute Scalene Triangle  

Step-by-step explanation:

Look at all three angles of the triangle they are all acute. In addition, all of the angles on the triangle are different making it scalene.

From the equation, 0 = 0. Therefore, the system of equation has infinite number of solutions.

System of equation can be solved using different method such as elimination method, graphical method and substitution method.

Let's use substitution method to solve the system of equation as follows;

-3x + 6y = 12

2y = x + 4

x = 2y - 4

Hence, let's substitute the value of x in equation(i)

-3(2y - 4)+ 6y = 12

-6y + 12 + 6y = 12

-6y + 6y = 12 - 12

0 = 0

Therefore, the system of equations has infinite solutions.

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Answer:

To find the sum of the two fractions, we first need to express them in a common denominator. Since the denominators of the two fractions are different, we will need to find the least common multiple (LCM) of the two denominators.

The LCM of 4 and 5 is 20, so we can express the two fractions in terms of 20 as follows:

-3 1/4 = -3 5/20

-4 2/5 = -4 8/20

Now that the two fractions have a common denominator, we can add them by adding the numerators and keeping the denominator the same:

(-3 5/20) + (-4 8/20) = (-3 + -4) 13/20 = -7 13/20

Therefore, the sum of the two fractions is -7 13/20.

The sum of −3 1/4 + (−4 2/5) is 7.65

Mixed fractions are type of a fraction which includes a whole number and a fraction.

So, any improper fraction can be written as a mixed fraction. Quotient will be the whole number and in the fractional part, numerator is the remainder and denominator will be the divisor.

[−(3 1/4)] + [−(4 2/5)] = [-(13/4)] + [-(22/5)]

When cross multiplying, we will get

-(13/4 + 22/5) = -(65 + 88)/20 = -153/20 = 7.65

Hence, the sum of −3 1/4 + (−4 2/5) is 7.65.

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Answer:

50

Step-by-step explanation:

The expanded and simplified form of the given expression is [tex]12a^4b^8-18a^3b^3[/tex]. This expansion represents the distributive property.

In this property, the arithmetic operation is as follows:

x(y+z) = xy+xz

Here the term outside of the brackets is multiplied by each term in the brackets.

The given expression is [tex]6a^2b^3(2a^2b^5-3a)[/tex].

It is expanded by using distributive property,

x(y+z) = xy+xz

Here in the expression, [tex]6a^2b^3(2a^2b^5-3a)[/tex] the term 6a²b³ is multiplied by each term in the brackets. So, we get the expanded term.

I.e.,

6a²b³(2a²b⁵- 3a) = (6)(2)(a²)(a²)(b³)(b⁵) - (6)(3)(a²)(a)(b³)

⇒ 6a²b³(2a²b⁵- 3a) = 12a⁴b⁸ - 18a³b³

Here the like terms when multiplied, their powers should be added.

(∵ [tex]x^m\times x^n = x^{m+n}[/tex])

And there is no further simplification for this expanded form since the variables have different powers.

Therefore, the expanded and the simplified form of the given expression is [tex]12a^4b^8-18a^3b^3[/tex].

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By analizying the zeros on the graph, we conclude that the equation that could represent the graph is:

y = (x  + 5)²*(x - 3)²

On the graph, we have a polynomial.

Remember that the degree of the polynomial is related to the zeros of the polynomial. Here we can see that we have two double zeros, one at x = -5 and other at x = 3

We know that are double zeros because the curvature of the polynomial changes there.

Then the equation will be something like:

y = (x  + 5)²*(x - 3)²

So that is the correct option, top right.

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The lowest temperature in January is -10°C if the lowest temperature in January is less than -6°C.

A scaled way of measuring how hot or how chilly something is a living body's normal level of heat production; see thermometer. a condition of extreme body heat with an average oral temperature of 98.6°F. The ideas of hotness and coolness are expressed numerically as a physical value called temperature.

The calibration of thermometers involves employing a variety of temperature scales with clearly defined reference points and thermometric materials. The Celsius scale (°C), formerly known as centigrade, with the unit symbol °C, is the most commonly used scale, followed by the Fahrenheit scale (°F) and the Kelvin scale (K), which is mostly used for scientific purposes. One of the seven base units in the International System of Units is the kelvin (SI).

Given,

Less than 6° was the lowest temperature recorded in January.

The lowest temperature in January will be=?

It is -10°C.

Therefore, the lowest temperature in January is -10°C.

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Answer:

The percent discount is 17.3%.

The probability of drawing a second black bead, given that the first bead is black, is 1/3 or 0.33.

The probability of drawing two black beads from a bag without replacement is given as 335. The probability of drawing one black bead is also given as 310. To calculate the probability of drawing a second black bead, given that the first bead is black, we can use the formula P(B2|B1) = P(B1 and B2) / P(B1). The probability of drawing one black bead is P(B1) = 310. The probability of drawing the two black beads is P(B1 and B2) = 335. Therefore, P(B2|B1) = 335 / 310 = 1/3 = 0.33.

The probability of drawing two black beads from a bag without replacement is given as P(B1 and B2) = 335. This means that, out of all the possible combinations of beads in the bag, 335 of them contain two black beads. The probability of drawing one black bead is given as P(B1) = 310. This means that, out of all the possible combinations of beads in the bag, 310 of them contain one black bead. To calculate the probability of drawing a second black bead, given that the first bead is black, we can use the formula P(B2|B1) = P(B1 and B2) / P(B1). The probability of drawing one black bead is P(B1) = 310. The probability of drawing two black beads is P(B1 and B2) = 335. Therefore, P(B2|B1) = 335 / 310 = 1/3 = 0.33. This means that the probability of drawing a second black bead, given that the first bead is black, is 1/3 or 0.33.

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We can rewrite the circle equation as:

(x - 1)^2 + y^2 = 9

Then the two true statements are:

"The center of the circle lies on the x-axis"

" The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9."

Remember that a general circle equation with a center (a, b) and radius R is:

(x - a)^2 + (y - b)^2 = R^2

Here the equation is:

x^2 + y^2- 2 x - 8 = 0

We can rewrite this as:

(x^2 - 2x) + y^2 = 8

Adding and subtracting 1 in the left side we can complete squares:

(x^2 - 2x + 1) - 1 + y^2 = 8

(x - 1)^2 + y^2 = 9

Tha is our equation, so the center is (1, 0) and the radius is 3 units.

Then the true statements are:

"The center of the circle lies on the x-axis"

" The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9."

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To determine the length of time it takes for all three moons to return to the same position, you need to find the least common multiple (LCM) of the three time periods.

The LCM of 25 days, 30 days, and 20 days is the smallest number that is a multiple of all three of these numbers. You can find the LCM by listing the multiples of each number and finding the smallest number that is a multiple of all three:

25 days: 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, ...

30 days: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, ...

20 days: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, ...

The LCM of 25, 30, and 20 is 60 days, so it will take 60 days for the three moons to be in the same position again. Therefore, the correct answer is (c) 300 days.

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Answer:

The given graph is not a direct variation.

Step-by-step explanation:

A direct variation occurs when the rate of change between any two points on a graph is always the same. In this sense, direct variation only occurs when a graph is linear. The given graph is parabolic; its equation is [tex]y = x^2[/tex]. Therefore, it does not exhibit direct variation, as the slope between consecutive points continually changes.

If you want to prove this claim, show that the slope changes between the given points: the rate of change from (2,4) to (3,9) is greater than the rate of change from (0,0) to (2,4).

Answer: 18 inches

Step-by-step explanation:

A triangle with three equivalent angles, because of the properties of triangles, would also be an equilateral triangle. This means each side length is 6 inches. 6+6+6=18 inches.

The greatest common factor of x² + 5x is x. The greatest common factor of x² + 5x is the largest number or expression that can divide evenly into both x² and 5x.

To find the greatest common factor, you can use the prime factorization method.

This involves expressing each term as the product of its prime factors. For example, x² can be written as x × x, and 5x can be written as 5 × x.

The prime factors of x² are x and x, and the prime factors of 5x are 5 and x. The greatest common factor is the product of the common prime factors, which in this case is just x. Therefore, the greatest common factor of x² + 5x is x. The greatest common factor of x² + 5x is the largest number or expression that can divide evenly into both x² and 5x.

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The value fo the numerical expression 2 × (2.5 -|-6|) will be negative 7.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ 2 × (2.5 -|-6|)

We know that the value inside the mode is always positive, then the expression is written as,

⇒ 2 × (2.5 -|-6|)

⇒ 2 × (2.5 - 6)

Simplify the expression, then the value of the expression is given as,

⇒ 2 × (2.5 - 6)

⇒ 2 × (- 3.5)

⇒ - 7

The value fo the numerical expression 2 × (2.5 -|-6|) will be negative 7.

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The simplified expression for its perimeter and area are 8x and 4x².

What is the square's perimeter?

What is a square area?

Area of square = a²

= (2x)²

= 4x²

Area of square = 4x²

Perimeter of square = 4*a

= 4 * 2x

= 8x

Perimeter of square = 8x

Hence, the simplified expression for its perimeter and area are 8x and 4x².

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Answer:

Step-by-step explanation:

Based on the graph, it appears that Giselle's grandma is offering to pay for a certain percentage of the cost of the book for every weed that Giselle pulls in her garden. The more weeds Giselle pulls, the more money her grandma will contribute, which will reduce the amount that Giselle has to pay for the book. This can be a good way for Giselle to save money on the book without using all of her savings.

1. True, the graph's beginning represents cost before she picks any weeds.

2. False, the graph shows that the cost for he goes into the negatives, showing that she is still able to earn more money from picking weeds.

3.True, from 0 weeds to 5 weeks picked you can see the price change from $18 to $17.

4. True, once she picks 90 weeds she earns the exact amount of money needed to buy the book.

5. False, she would need to pull 90 weeds in order to not spend her own money.

The coefficient of x²  in simplified form is 5

What is coefficient ?

A coefficient in mathematics is a multiplicative factor in a polynomial term, a series term, or an expression. It is typically a number, but it can also be any expression. They may also be referred to as parameters if the coefficients are variables in and of themselves.

a symbol or number that multiplies another symbol or number (used as a mathematical variable). The coefficient of x in the phrase 3x is 3, and it is a number that represents a quality (such as the metal's coefficient of expansion) of a substance or device.

(4y + 5y² - 6) - (5y + 27 - 2²)

4y + 5y² - 6 - 5y - 27 + 4

5y² - 1y - 29

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