On Friday, 2/3 of the pizzas sold at a local pizzeria were larges. Of the large pizzas, 1/5 were cheese pizzas. What portion of the pizzas sold were large cheese pizzas?

Answer

linear

nonproportional

Step-by-step explanation:

Since for each equal change in time (1 week), there is an equal change in weight (5 lb), the situation is linear.

At time zero, the first week, the weight was not zero. It was 60 lb, so it is not proportional.

Answer:

linear

nonproportional

b 35 is the answer sorry if I'm worng

Answer:

every thing is timed by 4

Step-by-step explanation:

Answer:

17 blocks?

Step-by-step explanation:

If the expression is  10x2-18x-4.:

a. The greatest common factor of the expression 10x^2 - 18x - 4 is 2.

b. The expression 10x^2 - 18x - 4 can be factored completely as: 10x^2 - 18x - 4 = 2(5x + 1)(x - 2)

C.  the factoring from Part B is correct.

Part A: To find the greatest common factor of the expression 10x^2 - 18x - 4, we need to find the largest factor that divides all three terms of the expression evenly. One way to do this is to factor out the greatest common factor using the distributive property.

10x^2 - 18x - 4 = 2(5x^2 - 9x - 2)

Now, we need to factor the expression inside the parentheses further to see if we can find any additional common factors.

5x^2 - 9x - 2 can be factored using the quadratic formula, but it does not have any common factors other than 1.

Therefore, the greatest common factor of the expression 10x^2 - 18x - 4 is 2.

Part B: To factor the expression completely, we can start by using the greatest common factor of 2.

10x^2 - 18x - 4 = 2(5x^2 - 9x - 2)

Next, we need to factor the expression 5x^2 - 9x - 2 further. We can use the factoring method of product and sum:

The product of 5 and -2 is -10, and the sum of the factors that multiply to -10 and add to -9 is -10 and 1.

So, we can write 5x^2 - 9x - 2 as:

5x^2 - 10x + x - 2

= 5x(x - 2) + 1(x - 2)

= (5x + 1)(x - 2)

Therefore, the expression 10x^2 - 18x - 4 can be factored completely as:

10x^2 - 18x - 4 = 2(5x + 1)(x - 2)

Part C: To check our factoring from Part B, we can multiply the factors using the distributive property and simplify:

2(5x + 1)(x - 2) = 2(5x)(x) + 2(5x)(-2) + 2(1)(x) + 2(1)(-2)

= 10x^2 - 20x + 2x - 4

= 10x^2 - 18x - 4

Therefore, the factoring from Part B is correct.

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The risk versus return of the investments that Marc and Julian are considering are:

Money Market savings accounts are offered by commercial banks and are quite safe which is why they have low returns. The same is true of a Five year CD.

IRAs and Mutual funds are considered moderate because they offer higher rates than CDs but with higher risk as well.

Stock and high-yield bonds are quite risky but they have a chance of a high return as well.

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Answer:

  0

Step-by-step explanation:

Multiplying the first equation by xy, we have ...

  x^2 +y^2 = -xy

Factoring the expression of interest, we have ...

  x^3 -y^3 = (x -y)(x^2 +xy +y^2)

Substituting for xy using the first expression we found, this is ...

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

The value of x^3 -y^3 is 0.

Answer:

A. X = -4

Step-by-step explanation:

\(-6x-24=3x+12\\-9x=36\\x=-4\)

1. Independent random samples arise when one random sample is split into groups differing by an observed feature is incorrect.

2. The margin of error of a confidence interval about the difference between the means of two populations is equal to half the width of the confidence interval.

1. Independent random samples arise when individuals in a sample are randomly assigned to experimental groups, data is recorded repeatedly on a random sample of individuals, or random samples are selected separately. The statement that one random sample is split into groups differing by an observed feature does not accurately describe independent random samples.

2. The margin of error in a confidence interval represents the range of values within which the true population parameter is likely to fall. It is calculated by taking half of the width of the confidence interval. Therefore, the correct answer is that the margin of error is equal to half the width of the confidence interval.

In summary, the incorrect statement is that independent random samples arise when one random sample is split into groups differing by an observed feature. The margin of error of a confidence interval about the difference between the means of two populations is equal to half the width of the confidence interval.

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6 chewy toys and 6 cat collars are needed to have the same amount or price at both stores.

An equation is an expression used to show the relationship between two or more angles and variables.

Let x represent the number of dogs and y represent the number of cats collars. Hence:

At Marco's market:

2x + 6y = 48 (1)

At Sonia's superstore:

4x + 4y = 48  (2)

Graphing both equations, the solution is at (6,6)

6 chewy toys and 6 cat collars are needed to have the same amount or price at both stores.

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The formula that you must used to determine the circumference of a circle is C = \(\pi\)d

First things first, substitute your diameter into the formula provided above,

C = \(\pi\)(3.14)(4)

Next you've substituted the diameter into the formula, you may calculate it.

C = \(\pi\)(3.14)(4) = 12.57

Finally, it has been determined that the answer to your question is 12.57

I'm not sure hold on I'm thinking right now I'll get back to you when I actually know the answer this is kind of easy and a way to clean away so I'll get back to you later

Inequalities show a relationship between two numbers or two expressions.

The system of inequalities that describe the constraints are:

4x ≤ y

170x + 700y ≤ 6900

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal =

Greater than and equal=

Example:

2x > 4 is an inequality

3x + 4 < 5 is an inequality

We have,

Aquarium = 6900 cubic inches.

Neon tetra = 170 cubic inches.

Catfish = 700 cubic inches.

Let,

x = be the number of neon tetra.

y = be the number of catfish.

Nathan would like at least one catfish for every 4 neon tetras.

This can be written as:

4x ≤ y _____(1)

Now,

170x + 700y ≤ 6900 ______(2)

Thus,

The system of inequalities that describe the constraints are:

4x ≤ y

170x + 700y ≤ 6900

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Answer:

Not enough context.

Step-by-step explanation:

Please give us the full question. How many chocolate chips in a muffin?

The price of a cutter is $2.50 and the price of a glue stick is $1.50.

Let's assume that the price of a cutter is x dollars and the price of a glue stick is y dollars.

We can set up two equations based on the information given in the problem:

4x + 2y = 13 (equation 1)

7x + 5y = 25 (equation 2)

To solve for x and y, we can use the method of elimination or substitution. Let's use the method of substitution:

From equation 1, we can solve for y in terms of x:

2y = 13 - 4x

y = (13 - 4x)/2

Substitute this expression for y into equation 2:

7x + 5((13 - 4x)/2) = 25

Simplify and solve for x:

7x + (65 - 20x)/2 = 25

14x + 65 - 20x = 50

-6x = -15

x = 2.5

So the price of a cutter is $2.50.

To find the price of a glue stick, we can substitute x = 2.5 into equation 1 and solve for y:

4(2.5) + 2y = 13

10 + 2y = 13

2y = 3

y = 1.5

So the price of a glue stick is $1.50.

Therefore, the price of a cutter is $2.50 and the price of a glue stick is $1.50.

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Answer:

21/20

Step-by-step explanation:

Answer:

1.05 or  21/20 or 105% or

Step-by-step explanation:

Answer:

x =107+88 =195, 360 -195 =165

Answer:

73°

Step-by-step explanation:

In an inscribed quadrilateral opposite angles are supplementary( they add up to 180) so angle x and its opposite angle( which is 107°) are equal to 180.

x + 107 = 180

Subtract 107 from both sides to isolate the x

x = 73

Answer:

△TRS ≅ △HGF

Step-by-step explanation:

△TRS ≅ △HGF by 1st triangle congruence property(TR = HG; TS = HF; ∠RTS = ∠ FHG)

Answer:

\(EG \perp FH\)

\(m\angle EFH = 45^\circ\)

Step-by-step explanation:

Given

See attachment for square EFGH

Required

Select the true statements

The sides of the square are EF, FG, GH and HE while the diagonals are: EG and FH

The diagonals of a square meet at \(90^\circ\) . This implies that: EG and FH are perpendicular i.e. \(EG \perp FH\)

Also, the diagonals divide the angles at the edges (\(90^\circ\)) into two equal angles (\(45^\circ\))

This means that:

\(m\angle EFH = 45^\circ\)

The other two options are false.

i.e.

\(EP \ne EH\)

\(FP \ne 2(EG)\)

Answer:

Step-by-step explanation:

The percentage of students scoring 84 or more in the exam is 99.18%.

Given, Mean test score = 72,

Standard deviation = 5.

We are supposed to find the percentage of students scoring 84 or more in the exam.

To find the percentage of students scoring 84 or more in the exam, we will use the following steps:

First, we need to find the z-score associated with 84.

Let us assume that z is the z-score corresponding to the value 84, then;

z = (84 - 72) / 5 = 2.4

Now, we have the value of z, we can find the percentage of students scoring 84 or more in the exam using the normal distribution table.

The percentage is the area under the normal distribution curve to the right of the z-score.

To find the area using the normal distribution table, we need to look for the value 2.4 in the z-table. Since 2.4 is not exactly listed in the z-table, we will use the value for 2.4 closest to it.

Using the z-table, the value closest to 2.4 is 0.9918.

Therefore, the percentage of students scoring 84 or more in the exam is;

P(Z > 2.4) = 0.9918 × 100 = 99.18%.

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Answer:

4

Step-by-step explanation:

Have a good day :-)

The Laplace transform of f(t) = cos²(t) is:

ℒ{f(t)} = (1 + s²) / (2s(s² + 4)).

To find the Laplace transform of f(t) = cos²(t), we can use the trigonometric identity:

cos²(t) = 1/2 (1 + cos(2t))

Applying this identity, we have:

ℒ{f(t)} = ℒ{1/2 (1 + cos(2t))}

Using the linearity property of the Laplace transform, we can split the transform of the sum into the sum of the transforms:

ℒ{f(t)} = 1/2 ℒ{1} + 1/2 ℒ{cos(2t)}

Now, we need to find the Laplace transforms of the individual terms.

The Laplace transform of the constant term 1 is:

ℒ{1} = 1/s

The Laplace transform of cos(2t) can be found using the property:

ℒ{cos(at)} = s / (s² + a²)

For our case, a = 2, so we have:

ℒ{cos(2t)} = s / (s² + 2²)

= s / (s² + 4)

Putting it all together, we have:

ℒ{f(t)} = 1/2 ℒ{1} + 1/2 ℒ{cos(2t)}

= 1/2 * (1/s) + 1/2 * (s / (s² + 4))

= 1/2s + s / (2s² + 8)

= (1 + s²) / (2s(s² + 4))

Hence, the Laplace transform of f(t) = cos²(t) is:

ℒ{f(t)} = (1 + s²) / (2s(s² + 4)).

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In the formulation of a mathematical model for an evaporator, the following are five key assumptions:

1. Constant volume and density of the system.

2. Evaporation takes place only from the surface of the liquid.

3. The transfer of heat takes place only through conduction.

4. The heat transfer coefficient does not change with time.

5. The properties of the liquid are constant throughout the system.

Derivation of the total mass balance equation:

The total mass balance equation relates the rate of mass flow of material entering a system to the rate of mass flow leaving the system.

It is given by:

Rate of Mass Flow In - Rate of Mass Flow Out = Rate of Accumulation

Assuming that the evaporator operates under steady-state conditions, the rate of accumulation of mass is zero.

Hence, the mass balance equation reduces to:

Rate of Mass Flow In = Rate of Mass Flow Out

Let's assume that the mass flow rate of the feed stream is represented by m1 and the mass flow rate of the product stream is represented by m₂.

Therefore, the mass balance equation for the evaporator becomes:

m₁ = m₂ + me

Where me is the mass of water that has been evaporated. This equation is useful in determining the amount of water evaporated from the system.

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a. To determine the probabilities associated with different service lives, we can use the properties of the normal distribution. Given that the mean service life is six years with a standard deviation of one-half year, we can calculate the probabilities as follows:

(1) Probability of service lives of at least five years:

We need to calculate the area under the normal curve to the right of five years. Using the Z-score formula, we find the Z-score corresponding to five years: Z = (5 - 6) / 0.5 = -2. We can then look up the corresponding probability in a standard normal distribution table or use statistical software to find the probability associated with a Z-score of -2. This gives us the probability of service lives of at least five years.

(2) Probability of service lives of exactly six years: Since the service life follows a normal distribution, the probability of exactly six years is zero since it is a continuous distribution. We can assign a very small positive probability to approximate "exactly" six years. (3) Probability of service lives of seven and one-half years: Similarly, we calculate the Z-score corresponding to seven and one-half years: Z = (7.5 - 6) / 0.5 = 3. We find the probability associated with a Z-score of 3 to determine the probability of service lives of seven and one-half years or longer. b. If the manufacturer offers service contracts of four years, we want to find the percentage of televisions that fail from wear-out during this period. We can calculate this by finding the area under the normal curve to the left of four years. Using the Z-score formula, we find the Z-score corresponding to four years: Z = (4 - 6) / 0.5 = -4. The corresponding probability gives us the percentage of televisions expected to fail during the four-year service period.

c. To achieve an expected wear-out rate of 2 percent or 5 percent, we need to determine the service period corresponding to these rates. We can use the Z-score formula in reverse to find the Z-score that corresponds to the desired wear-out rate. From there, we can calculate the corresponding service period by rearranging the Z-score formula and substituting the desired wear-out rate and the given mean and standard deviation values.

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The radius of the circle is approximately 10.17 units (rounded to two decimal places).

To find the radius of the circle, we need to use the formula that relates the central angle to the length of the arc and the radius of the circle. The formula is given as:

arc length = radius x central angle

In this case, the arc length is given as 24.4 and the central angle is given as 2.4 radians. Substituting these values in the formula, we get:

24.4 = r x 2.4

Solving for r, we get:

r = 24.4 / 2.4

r ≈ 10.17

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The discrete random variables from the given options are: 1, 2, 4, and 5.

The number of CDs that a college student owns: This is a discrete random variable because the number of CDs can only be a whole number. You cannot have a fractional or continuous value for the number of CDs.

The number of dogs you own: This is a discrete random variable because you can only own a whole number of dogs. You cannot own a fractional or continuous number of dogs.

Number of 6s you get when you throw 5 number cubes: This is a discrete random variable because the number of 6s can only be a whole number from 0 to 5. You cannot have a fractional or continuous value for the number of 6s obtained.

The number of dog sleds that a competitor uses in an annual sled dog race: This is a discrete random variable because the number of dog sleds can only be a whole number. You cannot have a fractional or continuous value for the number of dog sleds used.

On the other hand, the following option is not a discrete random variable:

The amount of gas in your car: This is a continuous random variable because the amount of gas can be any non-negative real number. It can have fractional or continuous values, such as 10.5 liters or 20.25 gallons. Option 1,2,3,4 and 5

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Answer:

whn you do 18% of 50, you get 9 freethrows

In a survey of customers who shop at a designer clothing store, the average number of t-shirts they own costing at least $30 is expected to be approximately the same as the median. The distribution of t-shirt ownership exhibits a skewed-right pattern.

(a) Skewed-right distributions are characterized by a tail that extends towards the right side. In this case, the distribution of the number of designer t-shirts owned by customers is skewed-right. As a result, the mean is typically greater than the median. However, in skewed-right distributions, the mean is less affected by the tail on the right side compared to the median. Since the distribution is skewed-right, but not extremely so, we can expect the mean to be roughly equal to the median.

(b) To determine the percentage of customers falling within a given interval, we need to convert the values to z-scores. The z-score formula is (x - mean) / standard deviation. For the interval between 1.30 t-shirts and 5.92 t-shirts, we calculate the z-scores for both values using the mean of 3.61 and the standard deviation of 1.18. Then we consult a standard normal distribution table or use statistical software to find the percentage of values between those two z-scores. By finding the corresponding probabilities, we can estimate the percentage of customers falling within that interval.

(c) To find the smallest interval guaranteed to capture at least 71% of all customers, we need to calculate the z-score that corresponds to the cumulative probability of 0.71. Using the standard normal distribution table or statistical software, we can find the z-score associated with a cumulative probability of 0.71. From this z-score, we can determine the corresponding values in the original scale using the mean and standard deviation. This will give us the smallest interval that captures at least 71% of all customers.

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Answer:

98

Step-by-step explanation:

97 is prime, so its only factors are 1 and 97, which add to 98.

Answer: 77.2

Step-by-step explanation: 179-101.8=77.2