how many 5/16 pizza servings are in 2 1/4 pizzas? Please show work and explain.
thank you

Answer:

non-cardholder: 152

cardholder: 147

Step-by-step explanation:

Lets make a system of equations

c=cardholder

n=non-cardholder

1. c + n = 299

2. 1.25c + 2.50n = 563.75

Write 1 as n = 299-c

Write 2 as cents, 125c + 250n = 56375

n= 299-c

125c + 250n = 56375

Substitute n with 299 - c

125c + 250(299-c) = 56375

125c + 74750 - 250c = 56375

74750 - 125c = 56375

125c = 18375

c = 147

n = 299 - c

n = 299 - c = 152

Hope this helps :)

Have a nice day!

By using a dilation around the origin, the coordinates of vertex C' are C'(x, y) = (9, - 15).

In this problem we find the four vertices of a rectangle and a scale factor and we are asked to determine the coordinates of the image of one of its vertices by using a dilation. Under the assumption of dilation about the origin, then the transformation rule is defined below:

C'(x, y) = 3 · C(x, y)

Where:

If we know that C(x, y) = (3, - 5), then the coordinates of vertex C' are:

C'(x, y) = 3 · (3, - 5)

C'(x, y) = (9, - 15)

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The 90% confidence interval for the mean score, μ, of all students taking the test is B. 21.8<u<23.0

Given a=0.1, Z(0.05)=1.645 (from standard normal table)

So 90% confidence interval is

xbar+/-Z*s/vn

= 22.4+/-1.645*2.8/sqrt(66)

= (21.83304, 22.96696)

Therefore, the 90% confidence interval for the mean score, μ, of all students taking the test is 21.8<u<23.0.

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If f (0) = 1, then the point is ( 0 , 1 ) on the graph of f (x).

A point on a graph is represented by the form:

( x , y ) where x is the abscissa and y is the ordinate of the function.

We are given a point on the graph of f ( x ) = y as:

f ( 0 ) = 1

Comparing it with f (x) = y, we get that:

x = 0

y = 1

so, the point will become:

( 0 , 1 )

Therefore, we get that, If f (0) = 1, then the point is ( 0 , 1 ) on the graph of f (x).

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Answer:

0.408

Step-by-step explanation:

Convert -6.8 and -0.06 to 34/5 and 3/50(The math explains why)
[tex]0 - 68/10 \times 0 - 3/50\\0 - 34/5 \times (-3)/50\\= 51/125\\= 0.408[/tex]

Answer: 0.408

Step-by-step explanation:

The potential irregularities in the given data are; The third term and the eight term.

An outlier is an observation that lies an abnormal distance from other values in a random sample from a population.

Now, we are given the amount of monthly data usage by sample of 10 cellphone users (in GB) as: 4.7, 6.3, 2.5 GB, 0.8, 1.8, 7.8, 0.7, 1081, 0.6, 4.6.

By careful observation, we can tell that majority of the 10 samples are decimals and less than 10. Thus, the first irregularity or outlier is 1081.

Now, the given data is said to be all in GB and as such there is no need to still add GB to 2.5. Thus, the second irregularity or outlier is 1081.

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7x-4

Step-by-step explanation:

2x-4+5x

add

7x-4

the expression that represents the perimeter of the rectangle is 19d-5.4f.

Perimeter can be defined as the total distance around an object.

To calculate the expression representing perimeter of  the rectangle, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the expression that represents the perimeter of the rectangle is 19d-5.4f.

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Answer:

there are 22 zeros when the number is written in standard notation.

Using the z-distribution, it is found that:

a) The null hypothesis is [tex]H_0: p \geq 0.68[/tex] and the alternative hypothesis is [tex]H_1: p < 0.68[/tex].

b) A true null hypothesis would mean that there is not enough evidence that her ability has decreased.

c) There is not enough evidence for the alternative hypothesis.

d) This is because the test statistic is less than the critical value, and the p-value is greater than 0.05.

At the null hypothesis, it is tested if there is not enough evidence that her ability has decreased, that is, the proportion is still of at least 68%, hence:

[tex]H_0: p \geq 0.68[/tex]

At the alternative hypothesis, it is tested if there is enough evidence that her ability has decreased, that is, the proportion is less than 68%, hence:

[tex]H_1: p < 0.68[/tex]

Hence:

A true null hypothesis would mean that there is not enough evidence that her ability has decreased.

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

For this problem, considering the situation described, the parameters are given as follows:

[tex]p = 0.68, n = 56, \overline{p} = \frac{34}{56} = 0.6071[/tex]

Hence the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.6071 - 0.68}{\sqrt{\frac{0.68(0.32)}{56}}}[/tex]

z = -1.17.

Considering a left-tailed test, as we are testing if the proportion is less than a value, the critical value is given by:

z* = -1.645.

The test statistic is less than the critical value, meaning that the p-value is greater than the standard significance level of 0.05 and there is not enough evidence for the alternative hypothesis.

Hence:

c) There is not enough evidence for the alternative hypothesis.

d) This is because the test statistic is less than the critical value, and the p-value is greater than 0.05.

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Answer:

4 1/2 cups of flour

4 1/2 tablespoons baking powder

4 1/2 teaspoon salt

4 1/2 eggs

5 cups of milk

5 cups of blueberries

Step-by-step explanation:

The final price Cheryl will pay for the shirt, using the mathematical expression that includes the sales tax, is $34.56.

A mathematical expression is a mathematical statement with two different numbers (known or unknown) and at least one mathematical operation.

The basic mathematical operations include addition, subtraction, division, and multiplication.

For, instance, the total cost of a T-shirt after factoring in the sales tax of 8% can be represented with this mathematical expression, T= 1.08p.

Cost of a shirt, p = $32

Sales tax = 8%

The mathematical expression of the total cost = 1.08p

The total cost = $34.56 ($32 x 1.08)

Thus, the final price Cheryl will pay for the shirt is $34.56.

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The measure of the central angle m∠UQR is 130 degrees.

Central angle is the angle formed by two arms and having the vertex at the centre of a circle.

The diameter of a circle runs from the centre of a circle.

The diameter SU and RT intersect each other at point Q.

Therefore,

m∠UQT = m∠RQS (Vertically opposite angles)

m∠UQR = m∠TQS (Vertically opposite angles)

Hence,

m∠RQS = 50°

Therefore,

m∠UQR = 360 - 50 + 50  / 2

m∠UQR = 360 - 100 / 2

m∠UQR = 260 / 2

m∠UQR = 130°

Therefore, the measure of the central angle m∠UQR is 130 degrees.

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Using 3.14 as the value of pi, and radius of 10, the area of the circle is given as 314.00 inches

The formula for the area of a circle is given as

πr² in terms of radius, r.

The radius is related to the diameter, d by  r = d/2. so the area of a circle can also be in terms of the diameter, which is given as

πd²/4 in terms of diameter of a circle

We have been given the radius of the question as 10

When we add this to the formula we would have

Area = 3.14 x 10²

= 3.14 x 10 x 10

= 314.00

Hence we can conclude that the radius of a circle as 10 inches, the area of a given circle to the nearest hundred is 314.00 in²

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Complete question

Determine the area of the circle, given each measurement. Use 3.14 for Pi and round to the nearest hundredth.

Radius: 10 in.

A=_____in^2

The given value, 1,503 passengers which represents the number of individuals that died according to the task content is; Choice B; The value is a parameter because it describes some characteristic of a population.

A parameter, in its simplest definition is a measure which describes a characteristic or feature of a population, for instance, the mean of the population.

A statistic on the other hand is a measure of the characteristic or feature of a sample such as a sample standard deviation.

On this note, the number 1503 as given in the task content is a parameter as it describes some characteristic of a population.

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Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. The athletic program is more popular.

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.

Given that,

A town’s most popular drive-in restaurant has 2,500 followers on a social networking website.

The town’s high school athletic program has 1.5* 10^4 followers on the same website.

We need to find which is popular among both the programs.

Athletic program views=1.5* 10^4=15000.

Drive in  has views 2,500

15000>2500

Therefore athletic program is more popular according to the given data.

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The density of the copper piece is 17. 82g/cm³

The formula for determining density is expressed as;

D = m/ v

Density is denoted with rho 'ρ'

Where;

Substitute the values into the formula

Density, ρ = 39. 2/ 4. 4

Divide through

Density, ρ = 17. 82 g/cm³

The density of the copper piece is 17. 82g/cm³

Thus, the density of the copper piece is 17. 82g/cm³

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There is 9,000 Joule energy present in the bulb

Gravitational Potential Energy

The energy that an object store due to its height in a gravitational field is known as gravitational potential energy.

It can be calculated by using  the equation below

U=m.g.h

Where:

m = mass of the object

h  = height

g  = acceleration due to gravity, or

Since the weight of an object of mass m can be calculated as:

W = m.g

The gravitational potential energy is:

U = W.h

The bell of weight W=180 N at the top of a tower is h=50 m high. Thus its energy is:

U = 180 N * 50 m

U = 9000 Joule

Hence, The bell has 9,000 Joule energy.

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24.42

Step-by-step explanation:

Quotient can be defined as the result when a number is divided by another number.

Here, the Dividend = 7.326; Divisor = 0.3

7.326 ÷ 0.3 = 24.42

This shows that 7.326 is not exactly divisible by 0.3

Therefore, quotient = 24.42

The steps given to find the standard deviation of the data-set are as follows:

For this problem, the are 5 values, hence:

n = 5.

The sum of the values is given by:

6 + 7 + 8 + 9 + 10 = 40.

Hence:

[tex]\sum x = 40[/tex]

The mean is given by:

40/5 = 8.

Hence:

[tex]\bar{x} = \frac{\sum x}{n} = 8[/tex]

The sum of the differences squared between each observation and the mean is:

(6 - 8)² + (7 - 8)² + (8 - 8)² + (9 - 8)² + (10 - 8)² = 10.

Hence:

[tex]\sum (x - \bar{x})^2 = 10[/tex]

Dividing by the number of values, we have that 10/5 = 2, hence:

[tex]\frac{\sum (x - \bar{x})^2}{n} = 2[/tex]

Taking the square root, the standard deviation is:

[tex]\sqrt{\frac{\sum (x - \bar{x})^2}{n}} = 2[/tex]

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The statement that the digit in hundreds place is  1/10 the value of the digit in the thousands place 5568 is correct.

Place value is defined as the value that is represented by a digit in a number based on of its position in the number.

It is known as the exact value of each digit in a number.

It is also known as the position of digits in a given number set.

Example;

The place value of 5 in 50 is tens

The place value of 2 in 200 is hundreds

The place value of 0 in 50 is unit

From the information given, we have;

5568

Now, let's take the ratio

= 500/ 5000

= 1/ 10

Thus, the statement that the digit in hundreds place is  1/10 the value of the digit in the thousands place 5568 is correct.

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For the function g(x) we have:

There are multiple features we can find, in this case, the most important ones are:

Domain.

Y-intercept.

Range.

First let's find the domain.

We know that logarithmic functions can be only evaluated in arguments larger than zero, so:

x + 2  > 0

x > -2

The domain is the set of all real numbers larger than -2.

Now the range is trivial, for all logarithmic functions the range is the set of all real numbers.

Finally, for the y-intercept we need to evaluate in x = 0, so we get:

y-intercept = log(0 + 2) = log(2) = 0.3

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The rotation of 90° counterclockwise is-

Part 5) The correct option is C.  

Part 6) The correct option is A.  

A rotation is a transformation which revolves an object around a fixed point known as the centre of rotation.

For the given questions;

Part 5) rotation of 90° counterclockwise for ABCD

The position of the figure ABCD after the rotation of 90° counterclockwise is shown by option C. The coordinates of E after rotation will be at (-2,0).

Part 6) rotation of 90° counterclockwise for ABCD

The position of the figure ABCD after the rotation of 90° counterclockwise is shown by option A. The coordinates of B after rotation will be at (6,4).

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The number of significant figures in the number 6.4×10³ are two which is '6 and 4'.

Significant figures notation is the method of determining the numbers in any representation which are necessary and holds some specific value. All the numbers which do not hold any specific value or position are not considered as significant figures. There are certain rules to determine the significant figures. These rules are that all non-zero numbers are significant, zeroes between two non-zero number are considered significant, zeroes before non-zero number are not significant.

In the question the number 6.4×10³ has only two significant digits which is '6 and 4' and the number 10 and 4 will not be counted as significant digits.

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If 80 % (percentage) of marbles are blue then there are 36 blue marbles.

Percentage is the process of representing parts of a number by dividing the number into equal hundreds.

If the total amount is equivalent to 100 then the percentage denotes the number which is identical to the part of the number. In other words percentage denoted as % is part of 100.

The process of converting a part into percentage is by dividing the part by the total amount and multiplying the result by 100.

Now the total number of marbles in the jar is 45 and 80% of them are blue.

Now let us consider this :

so 80% of 45 = 80/100 × 45

or, blue marbles = 36

Hence the number of blue marbles is 36.

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Answer:

51

Step-by-step explanation:

Itsssssssssssss 51 ezyyy

Answer:

51 is correct Answer. Please mark me as brainlist answer.

Answer:

Yes, you are correct.
We are told that he stops 5 times in total after walking equal distances per stop, meaning he split the total distance he had to walk into 5 parts.

The length of the distance between one stop to another would be equal to [tex]\frac{2250}{5}[/tex].

Based on the fact that sales tax in Connecticut is 6.35%, the price of a single pack of gum can be shown by the function, p(g) = 4g + 0.254g

The price of a single pack of gum is g and Sarah bought 4 packets.

The total cost of her purchase is:
= (4 x price of single pack) x ( 1 + Sales tax rate)

When expressed in terms of g, the function is:

= 4g x (1 + 6.35%)

p(g) = 4g + 0.254g

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Answer:

C obtuse

Step-by-step explanation:

An Obtuse angle measures more than 90° but less than 180°. A Straight angle or a half turn is always 180 °. Reflex is the next largest measuring more than 180° but less than 360°.