Ms.tang bought 4 sets of doughnuts. she created a package of treats using 2/3 of a set. how many package did she created using all 4 sets​

Answer: He used 91 pounds of type A coffee

Explanation:

Let x represent the number of pounds of type A coffee used

Let y represent the number of pounds of type B coffee used

This month, Dante made 156 pounds of the blend. This means that

x + y = 156

y = 56 - x

Type A coffee costs Dante $4.30 per pound, and type B coffee costs $5.50 per

pound. This month, the total cost the blend was $748.80. This means that

4.3x + 5.5y = 748.8

We would substitute y = 56 - x into 4.3x + 5.5y = 748.8. We have

4.3x + 5.5(156 - x) = 748.8

4.3x + 858 - 5.5x = 748.8

4.3x - 5.5x = 748.8 - 858

- 1.2x = - 109.2

x = - 109.2/- 1.2

x = 91

He used 91 pounds of type A coffee

Hello!

∠AED and ∠BEC are opposite angles

so ∠AED = ∠BEC = 36°.

The expression 1 2/5 + 2 2/3 using fifteenths is 3 + 6/15 + 10/15

From the question, we have the following parameters that can be used in our computation:

1 2/5 + 2 2/3

3 + 2/5 + 2/3

To rewrite the expression using fifteenths, we multiply the numerator and the denominator of the fractions by the same number

In this case, we use 3 and 5

So, we have

3 + 2/5 * 3/3 + 2/3 * 5/5

Evaluate the products

3 + 6/15 + 10/15

Hence, the expression using fifteenths is 3 + 6/15 + 10/15

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Equation which can be used to solve for the value of x is

3x° + 2x° + 80 °= 180° .

Straight angle pair is the sum of two or more angles that are in pair of angles that form a straight line is always equal to 180°.

As shown in the diagram angle on the lines are -

3x ° , 80° , 2x° respectively

Sum of all these angle will be equal to 180°.

3x° + 2x° + 80° = 180

The correct equation to find the value of x is 3x° + 2x° + 80° = 180° .

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The correct step to prove that \(BC^2 = AB^2 + AC^2\) is:

By the cross product property, \(AC^2 = BC \cdot AD\).

To prove that \(BC^2 = AB^2 + AC^2\), we can use the triangle similarity and the Pythagorean theorem. Here's a step-by-step explanation:

Given triangle ABC with right angle at A and segment AD perpendicular to segment BC.

By triangle similarity, triangle ABD is similar to triangle ABC. This is because angle A is common, and angle BDA is a right angle (as AD is perpendicular to BC).

Using the proportionality of similar triangles, we can write the following ratio:

\($\frac{AB}{BC} = \frac{AD}{AB}$\)

Cross-multiplying, we get:

\($AB^2 = BC \cdot AD$\)

Similarly, using triangle similarity, triangle ACD is also similar to triangle ABC. This gives us:

\($\frac{AC}{BC} = \frac{AD}{AC}$\)

Cross-multiplying, we have:

\($AC^2 = BC \cdot AD$\)

Now, we can substitute the derived expressions into the original equation:

\($BC^2 = AB^2 + AC^2$\\$BC^2 = (BC \cdot AD) + (BC \cdot AD)$\\$BC^2 = 2 \cdot BC \cdot AD$\)

It was made possible by cross-product property.

Therefore, the correct step to prove that \(BC^2 = AB^2 + AC^2\) is:

By the cross product property, \(AC^2 = BC \cdot AD\).

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Answer:

First Question - 74.25

Second Question - 23.92

Hope this helps you out

To break even, the company should charge a price that covers their expected loss. Therefore, the price that they should charge for the 2 year extended warranty is $9

What is expected value?

Expected value is a concept in probability theory that represents the average value of a random variable over a large number of trials. It is calculated by multiplying each possible outcome by its probability and adding up the products

Let x be the price that the company charges for the extended warranty. Then, the expected value of the extended warranty is:

E(x) = 0.98(0) + 0.02(-450) = -9

The negative expected value means that the company is expected to lose money on the extended warranty.

To break even, the company should charge a price that covers their expected loss. Therefore, the price that they should charge for the 2 year extended warranty is:

x = -$(-9) = $9

Therefore, the company should charge $9 for the 2 year extended warranty so that they break even.

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The mean number of unused vacation days is 8.64.

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number.

To find the mean of the unused vacation days, find the midpoint of the upper and lower boundary and then multiply by its respective frequency and divide the sum by the sum of frequency.

Days  Frequency  Mid point               (mid point x frequency)

1 - 3         1               (1 + 3) / 2 = 2          (2 x 1) = 2

4 - 6        22           (4 + 6) / 2 = 5          (5 x 22) = 110

7 - 9         14           (7 + 9) / 2 = 8          (8 x 14) = 112

10 - 12        2          (10 + 12) / 2 = 11       (11 x 2) = 22

13 - 15       17           (13 + 15) / 2 = 14     (14 x 17) = 238

Sum         56                                                          484

Mean - 484 / 56 =  8.64                                        

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Answer:

Each question has only one correct answer and the student is equally likely to choose any of the four choices.

Answer:

we get 180 minutes; this is equivalent to 3 hours

Step-by-step explanation:

Solving this problem is easier if we convert 2 hr 30 min to min:  150 min.

In the ratio 6:5, the 5 represents the 150 min and we need to determine how long the time interval will be if increased in this ratio.

We write and solve an equation of ratios:

6        x

--- = ------                          This becomes 5x = 900 through cross multiplication.

5     150

solving this for x, we get 180 minutes; this is equivalent to 3 hours.

The time taken should be 180 minutes or 3 hours.

Since there is an increase of 2 hours 30 minutes by the ratio of 6:5​

So here we convert 2 hr 30 min so it comes 150 min.

Now the time taken should be

5x = 900

x = 150 minutes

hence, The time taken should be 180 minutes or 3 hours.

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Answer:

t >± 1.895

t= 0.1705

Step-by-step explanation:

The null and alternative hypotheses are

H0: μd=0 Ha: μd>0

Significance level is set at ∝= 0.05

The critical region for  t  df=7       t >± 1.895

The test statistic under H0 is

t = d/ sd/ √n

Which has t distribution with n-1 degrees of freedom

Employee        After  Before         d = after - before        d²

1                          6         5               1                                  1

2                         6          2               4                               16

3                         7          1                6                               36

4                         7           3              4                               16

5                         4          3              1                                 1

6                         3          6              -3                               9

7                         5          3              2                               4

8                          6        7               -1                                1      

∑                                                    14                              84    

d`= ∑d/n= 14/8= 1.75

sd²= 1/8( 84- 14²/8) = 1/8 ( 84 - 24.5) = 59.5

sd= 7.7136

t= 3/ 7.7136/ √8

t= 0.1705

Since the calculated value of t= 0.1705 < ± 1.895  therefore reject the null hypothesis at 5 % significance level . On the basis of this we cannot conclude that the number of absences has declined.

Answer:

a d f g

Step-by-step explanation:

Answer:

its abfg

Step-by-step explanation:

Answer:

16.5, 19, 21.5, 24, 26.5, 29, 31.5, 34,

Step-by-step explanation:

each hour it increases by 2.5 inches and this is how much in each hour

Answer:

h1= 16.5

h2= 19

h3= 21.5

h4= 24

h5= 26.5

h6=29

h7=31.5

h8= 34

Step-by-step explanation:

start by making an equation to model the scenario then solve for each hour

f(h)=2.5h+14

Answer:

A is the answer.

Step-by-step explanation:

The answer A shows: c/4 = $4.25

c = equals the total cost of the sundae.

the total cost is $17.

$17/4 = $4.25, the price each of the 4 friends paid.  

Which means the answer is A.

Hope this helps!

Answer: 18 Dollars

Step-by-step explanation:

Divide 414 by 23 to get the cost per pizza. Which in this case is 18 dollars

The most likely number of people who visited the library zero times last summer based on Amy's survey is 632 people

To find the number of people who were most likely not to visit the library, you need to find the percentage of people who did not visit the library from Amy's survey.

Percentage of males:                                           Percentage of females:

= 14 / 25                                                                 = 17 / 25

= 56%                                                                     = 68%

From the population of 1,000, the males and females who went to the library zero times would be:

Number of males:                                           Percentage of females:

= 56 % x 400                                                  = 68 % x 600

= 224 males                                                    = 408 females

Total number of people :

= 224 + 408

= 632 people

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The population of the country will be 796 million approximately in the year 2022.

To find when the population of the country will be 796 million, we can set the equation equal to 796 and solve for t:

\(A = 433.4e^{(0.032t)}\\796 = 433.4e^{(0.032t)}\)

Divide both sides by 433.4:

\(e^{(0.032t)} = 1.836\)

Take the natural logarithm of both sides:

\(ln(e^{(0.032t)}) = ln(1.836)\)

0.032t = 0.605

Divide both sides by 0.032:

t = 18.91

Therefore, the population of the country will be 796 million approximately 19 years after 2003. To find the year, we add 19 to 2003:

2003 + 19 = 2022

Therefore, the population of the country will be 796 million approximately in the year 2022.

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The equation to find the cost of each chicken so that Tom can make $50 is option C: 4c + 5 = 50. The price at which each chicken should be sold is $11.25.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The number of chickens Tom has = 4

The amount of money Tom has = $5

The amount of money Tom wants to get = $50

Let the cost of selling each chicken be = c.

Then the cost of 4 chickens will be = 4c.

The equation to find the cost of each chicken will be -

4c + 5 = 50

Combine all the like terms -

4c = 50 - 5

4c = 45

Use the arithmetic operation of division -

c = 45/4

c = 11.25

Therefore, the cost of each chicken is $11.25.

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Let's label the arcs in the circle to be precise.

From the illustration, we can see that the inscribed angle x has intercepted the Arc AB.

Based on the theorem, the measure of the inscribed angles is half the measure of its intercepted arc. Hence, we can say that:

To find the measure of angle x, we need to know first the measure of arc AB.

Notice in the diagram, Arc AB + Arc BC is a semicircle. The total measure of the angles in a semicircle is 180 degrees.

Since we know that Arc BC = 122 degrees, we can subtract this from 180 to get the measure of Arc AB.

Hence, the measure of Arc AB is 58 degrees.

Going back to the equation we have formed based on the theorem about inscribed angles, we can plug in the measure of Arc AB and solve for x.

Hence, the measure of the inscribed angle x is 29 degrees.

Answer:

ABC=BCD wtdf

Step-by-step explanation:

The elements in list are: A. 1. {-2<x< 7: X E N} = {-2, -1, 0, 1, 2, 3, 4, 5, 6, 7}  2. {3x+2: x E Z} = {..., -7, -4, -1, 2, 5, 8, ...}  B. Set builder notation:  1. {x | x is an integer and |x|≥3} 2. {10^k | k is a non-negative integer and k ≤ 4}

A set in mathematics is a collection of unique things, referred to as elements, that have something in common. For example, "1, 2, 3" or "x | x is an even number" are used to represent sets. Set builder notation is also used to denote sets. Each element only occurs once in a set, and the order in which they appear is unimportant. Being the basis for several other mathematical ideas and structures, including relations, functions, and groups, sets play a crucial role in mathematics.

A. 1. {-2<x< 7: X E N}

{-2, -1, 0, 1, 2, 3, 4, 5, 6, 7}

2. {3x+2: x E Z}

{..., -7, -4, -1, 2, 5, 8, ...}

B.

1. {x | x is an integer and |x|≥3}

2. {10^k | k is a non-negative integer and k ≤ 4}

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Answer:

B. is the correct answer

Step-by-step explanation:

Answer:

anu po yan salamat po sa point

Answer:

(A) Population: UCB undergraduates

Sample: The selected 129 UCB undergraduates

(B) Yes, they can be generalized to the population

No, the findings of this single study cannot be used to establish causal relationships between socio-economic classes and unethical behaviors.

Step-by-step explanation:

STUDY: Relationship between socio-economic class and unethical behavior.

The bases for determining social class here are:  money, education, and respected job.

RESULT: Those who identified as upper class took more candy than others.

(A) Identify the population of interest and the sample, in this study.

The population of interest in this study is UCB undergraduates.

The sample in this study is the 129 UCB undergraduates who were selected and who agreed to take part in the experiment. They were the participants who were divided into the two social classes before the experiment was conducted.

(B) The results of the study can be generalized to the population of UCB undergraduates since it's likely that the results would be same in another group of 129 UCB undergraduates.

The findings or results of the study cannot be used to establish causal relationships unless the study is conducted in more universities and majority of the results are same with this.

It will take 16 months to take their sales be the same

The sales of Gizmo Sports Drink

Number of bottle they were selling at beginning = 6500

Sales decrease rate = 60 bottles per month

The sequence is in arithmetic progression

The nth term = a+(n-1)d

= 6500 + (n-1)-60

= 6500 -60n +60

= 6560 - 60n

The sales of  New Age Refreshers

Number of bottle they were selling at beginning = 2000

Sales increase rate = 240 per month

The nth term = 2000+(n-1)240

= 2000 +240n -240

= 1760 + 240n

Then the equation will be

6560 - 60n = 1760 + 240n

6560 - 1760 = 240n + 60n

300n = 4800

n = 4800 / 300

n = 16 months

Hence, it will take 16 months to take their sales be the same

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Answer:

b

Step-by-step explanation:

Answer:

112.5ft^2

Step-by-step explanation:

10 x 9 = 90

9 × 5 × .5 = 22.5

90 + 22.5 = 112.5

the answer is E.) none of the above

Answer:

three

Step-by-step explanation:

stem. is the tens place and the leaf is the. ones place

so you want to find 68 so you look in the stem column and look for six

in the row there are 6 numbers which mean:

60, 61, 67, 68, 68, 68

as you can see there is three 68 there for the answer ths 3