Mason bought 6 loaves of bread and 3 packages of cheese for a total of $27. The cost of a package of cheese is $1.50 more than the cost of a on loaf of bread. What is the combined cost of one loaf of bread and one package of cheese?

We have the following:

The unit rate would be the amount of calories per gram, so we must divide the number of calories by the number of grams

That is, there are 5 calories per gram in this candy bar.

Answer:

x = -168

Step-by-step explanation:

Multiply both sides of the equation by 4.

= -x = 168

Multiply both sides by −1.

x = -168

Hope it helps!!!

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Answer:

y=-5x+19 is that what you're looking for bc I don't think you can solve for either variable

angle of elevation = 17.5 degrees

shadow length = 4

To compute the tree height using the given formula, you would need to use the inverse tangent function (arctan) to find the angle of elevation in radians, and then multiply that value by the shadow length.

In this example:

angle of elevation = 17.5 degrees

shadow length = 4

tree height = tan⁻¹ (17.5) × 4

From this, the final output will be 7.398881327917831.

The formula states that the ratio of the tree's height to the shadow's length is equal to the tangent of the angle of elevation. So, by measuring the shadow length and the angle of elevation, we can use the tangent function to calculate the tree's height.

The inverse tangent function (arctan) is used to find the angle of elevation in radians, and then the result is multiplied by the shadow length to get the tree height.

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Answer:

Step-by-step explanation:

\(x^{2}\)=a²+b²

x²=6²+2.5²

x²=36+6.25

x²=42.25

√x=√42.25

x=6.5

Answer:

6.5

Step-by-step explanation:

6^2 + 2.5^2 = c^2

•36 + 6.25 = c^2

•42.25 = c^2

• find square root of 42.25 = 6.5

• 6.5 = C

Answer:

Step-by-step explanation:

For the m it would just be -3 because the equation for slope intercept form is y=mx+b

Answer:71

Step-by-step explanation:1775/25

Answer:

71 bags

Step-by-step explanation:

Each bag: 20 pennies

Pennies count: 1775

Final Answer: 71 bags

Explain:

1775 / 25 = 71

In 6 days 285 miles can be travelled.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

190  miles cover in 4 days.

let x miles travelled in 6 days

So, using proportion

190/4 = x/6

190 x 6 = 4x

4x= 1440

x= 285 miles.

Hence, in 6 days 285 miles can be travelled.

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Answer:

11

Step-by-step explanation:

y^2 - x^2

y = 6, x = 5

6^2 - 5^2

When using exponets we multiply a number by itself as many times as the exponet says, so in this case we multiply 6 x 6 and 5 x 5

6 x 6 = 36  5 x 5 = 25

36 - 25 = 11

Hope this helps!

Answer:

g' (×)=f

Step-by-step explanation:

g (×)=f×-7

g' (×)= d÷d× (f×-7)

d÷d×(f+g)=d÷d×(f)+d÷d=(g)

g' (×)=d÷d×(f×)-d÷d×(7)

g'(×)=f-d÷d×(7)

g'(×)=f-0

g'(×)=f

Solve for b

-73 = b/7- 81

b= 56

-511=b-567

b-567=-511

b=-511+567

b=56

Solution 2

Add 81 to both sides.

-73+81= b/7

simplify -73+81 to 8

8=b/7

8*7=b

simplify 8*7 to 56

56=b

switch sides b= 56

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If the equation be -73 = b/7- 81 then the value of b is 56.

Solve for b

-73 = b/7- 81

b= 56

-511=b-567

b-567=-511

Hence,

b=-511+567

b=56

Solution 2

Add 81 to both sides.

-73+81= b/7

simplify -73+81 to 8

8=b/7

8*7=b

simplify 8*7 to 56

56=b

switch sides b= 56

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Focus groups are not appropriate for generating statistics and making scientific generalizations.

The given statement is True.

Focus groups are qualitative research methods used to gather in-depth insights and subjective opinions from a small group of participants.

They typically involve a moderator guiding a discussion among a selected group of individuals to explore their perspectives, attitudes, and experiences on a specific topic.

The main objective of focus groups is to obtain rich, contextual information rather than to produce statistical data.

Focus groups usually consist of a small number of participants, typically ranging from 6 to 12 individuals, which makes it difficult to achieve statistical significance or representativeness.

The participants are not randomly selected, but rather purposively chosen based on specific criteria relevant to the research focus.

While focus groups offer valuable qualitative insights, they are not designed to generate statistically reliable data or make generalizations to a larger population.

The results obtained from focus groups are specific to the participants involved and their unique perspectives.

Therefore, it is not appropriate to use focus group findings as a basis for making scientific generalizations or drawing statistically significant conclusions about a broader population.

To make scientific generalizations and produce statistical data, researchers typically employ quantitative research methods, such as surveys or experiments, with larger and more diverse samples that allow for statistical analysis and inference.

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1000 random integers are generated randomly with a uniform distribution over the range 1 to 1000 inclusive. Then none of the above would indicate a poor generator, option e.

In the context of assessing the quality of a random number generator, a poor generator would be one that exhibits patterns or biases in the generated numbers. None of the options provided directly indicate a poor generator, as they are mathematical expressions rather than specific characteristics of a random number generator.

Options a) (1), b) (log N), c) (N), and d) (N log N) represent different growth rates or mathematical relationships, but they do not provide information about the quality of a random number generator.

To assess the quality of a random number generator, it is necessary to evaluate statistical properties such as uniformity, independence, and lack of correlation. Statistical tests, such as chi-square tests or tests for randomness, can be applied to the generated numbers to determine if they deviate significantly from the expected distribution.

Therefore, option e) "None of the above" is the correct answer since the given options do not directly indicate a poor generator.

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Answer:

$7.75

Step-by-step explanation:

1. Take the cost - $4.80 for the 96 messages, and divide $4.80 by 96 to get the cost per message.

2. 4.80 ÷ 96 = $0.05 per message

3. Take that figure and multiply by 155 messages.

4. 155 × $0.05 per message = $7.75

Hope this helps!

Answer:

1foot(ft.)1yard(yd.)1mile(mi.)===12inches(in.)3feet(ft.)5,280feet(ft.)

Step-by-step explanation:

If we were to measure a dependent variable's frequency, the appropriate method would be to count the number of times it occurred.

Frequency refers to the rate at which a behavior or event happens within a given timeframe. By counting the occurrences of the dependent variable, we can determine how often it happens or the number of times it is observed. The other options mentioned—timing the interval between responses, measuring the shape of the behavior, and timing how long it took to achieve—are not directly related to measuring frequency.

Timing the interval between responses would be more relevant for measuring the interresponse time or the duration between two consecutive instances of the behavior. Measuring the shape of the behavior would involve analyzing the pattern or characteristics of the behavior, such as its intensity or duration. Timing how long it took to achieve something would focus on the duration or latency of the behavior rather than its frequency.

Therefore, the correct approach for measuring frequency would be to count the number of occurrences of the dependent variable, providing an objective and quantitative assessment of how frequently the behavior or event takes place.

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Answer:

D. 27x^3y^3

Step-by-step explanation:

The exponent at the end that is above and outside the parenthesis of the whole thing, needs to be passed out to each piece inside the parenthesis. See image. 3^3 is 27 and a power to a power, you multiply the exponents. See image.

Answer:

24500 cm^2

Step-by-step explanation:

Note that based on probabilities,

The expected number of Democrats on the committee is 5.

The expected number of states represented on the committee is 26.

The expected number of states such that both of the state's senators are on the committee is 9.09.

a)  The probability that a randomly chosen senator is a Democrat is 50/100 = 1/2.

So, the expected number of Democrats on a committee of size 10 is

1/2 * 10 = 5.

b) The minimum number of   states that can be represented on a committee of size 10 is 2, and the maximum numberis 50.

The expected number of states representedon the committee is the average of these two values, which is (2 + 50)/  2 = 26.

c)  There are 50 states, and each state has 2 senators. So, there are a total of 100 pairs of senators.

The probability that a randomly chosen pair of senators both belong to the same state is 50/100 * 49/99

= 1/11.

The expected number of states such that both of the state's senators are on the committee is 100 * 1/11 = 9.09.

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Answer:

\(3,10,29,66,127,218\)

Step-by-step explanation:

\(f(n) = n^3 +2\\\\f(1) = 1^3 +2 = 1+2=3\\\\f(2) =2^3 +2 = 8+2=10\\\\f(3)=3^3 +2 = 27+2 = 29\\\\f(4) = 4^3 +2 = 64 +2 = 66\\\\f(5) = 5^3 +2 = 125+2 = 127\\\\f(6) = 6^3 +2 = 216+2 = 218\)

Answer:

The probability of rolling a 3 is 1/6 as there is only one face labeled "3" out of 6 total.

Multiplying the two probabilities gives (1/2)*(1/6) = (1*1)/(2*6) = 1/12 (Correct Answer)

The two events are independent from one another.

If you add the album genre as a detailed mark to the scatter plot of album revenue versus social media mentions, it would allow you to see how the revenue and social media mentions vary based on the different genres of the albums.

However, since albums can be associated with multiple genres, it might be challenging to accurately categorize each album into a single genre. This could result in some data points appearing in multiple genres or being misclassified, which could affect the overall analysis of the scatter plot.

Therefore, it's important to ensure that the categorization of albums into genres is done accurately and consistently to avoid any potential biases or errors in the analysis, a scatter plot showing album revenue versus social media mentions and then adding the album genre as a detailed mark, the following will happen:

1. The scatter plot will display data points representing individual albums, with the x-axis representing social media mentions and the y-axis representing revenue.
2. Each data point will now be associated with one or more genres, as albums can belong to multiple genres.
3. The detailed mark for album genre will provide additional information for each data point, allowing you to analyze the relationship between revenue, social media mentions, and genre more effectively.

By including the album genre as a detail mark, you can gain insights into how different genres perform in terms of revenue and social media presence, and potentially identify patterns or trends within the data.

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Answer:

Possibly 56

Step-by-step explanation:

24 divided by 3 is 8.  8 x 7 is 56.

if you hear 124 chirps per minute, the estimated temperature is approximately 68°F, and if you hear 68 chirps per minute, the estimated temperature is approximately 54°F.

Using the equation of a straight line, y = mx + b, where y represents the temperature in degrees Fahrenheit, x represents the chirp rate in chirps per minute, m represents the slope of the line, and b represents the y-intercept.

First, we need to calculate the slope, m, using the formula:

m = (y2 - y1) / (x2 - x1)

Using the data points (104, 63) and (176, 81):

m = (81 - 63) / (176 - 104) = 18 / 72 = 1 / 4

Now, we can substitute one of the data points into the equation to find the y-intercept, b:

63 = (1 / 4) * 104 + b

63 = 26 + b

b = 63 - 26

b = 37

Therefore, the equation relating chirp rate to temperature is:

Temperature = (1/4) * chirp rate + 37

Now we can use this formula to find the temperatures for the given chirp rates:

1. For 124 chirps per minute:

Temperature = (1/4) * 124 + 37

Temperature ≈ 31 + 37

Temperature ≈ 68°F

2. For 68 chirps per minute:

Temperature = (1/4) * 68 + 37

Temperature ≈ 17 + 37

Temperature ≈ 54°F

Therefore, if you hear 124 chirps per minute, the estimated temperature is approximately 68°F, and if you hear 68 chirps per minute, the estimated temperature is approximately 54°F.

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Answer:

Step-by-step explanation:

\(1.\\ \\ \frac{sin148}{25}=\frac{sinx}{12}\\ \\ x=sin^{-1}\frac{12sin148}{12}\\ \\ x=32^o\\ \\ 2.\\ \\ x^2=42^2+16^2-2(42)16cos120\\ \\ x^2=2692\\ \\ x=\sqrt{2692}\\ \\ 3.\\ \\ 19^2=17^2+14^2-2(17)14cosx\\ \\ x=cos^{-1}\frac{124}{476}\\ \\ x=74.9^o\\ \\ 4.\\ \\ \frac{sin22}{15}=\frac{sin(180-48-22}{x}\\ \\ x=\frac{15sin110}{sin22}\\ \\ x\approx 37.63\)

Answer:

4. \(\displaystyle 38 ≈ x\)

3. \(\displaystyle 75° ≈ m∠X\)

2. \(\displaystyle 52 ≈ x\)

1. \(\displaystyle 15° ≈ m∠X\)

Step-by-step explanation:

Before we begin, here are the formulas for both laws:

Solving for Angles

\(\displaystyle \frac{x^2 + y^2 - z^2}{2xy} = cos∠Z \\ \frac{x^2 - y^2 + z^2}{2xz} = cos∠Y \\ \frac{-x^2 + y^2 + z^2}{2yz} = cos∠X\)

Do not forget to use \(\displaystyle cos^{-1}\)in the end or you will throw the result off!

Solving for Edges

\(\displaystyle y^2 + x^2 - 2yx\:cos∠Z = z^2 \\ z^2 + x^2 - 2zx\:cos∠Y = y^2\\ z^2 + y^2 - 2zy\:cos∠X = x^2\)

Take the square root of the end result or you will throw it off!

-----------------------------------------------------------------------------------

Solving for Angles

\(\displaystyle \frac{sin∠Z}{z} = \frac{sin∠Y}{y} = \frac{sin∠X}{x}\)

Do not forget to use \(\displaystyle sin^{-1}\)in the end or you will throw the result off!

Solving for Edges

\(\displaystyle \frac{z}{sin∠Z} = \frac{y}{sin∠Y} = \frac{x}{sin∠X}\)

_____________________________________________

4. \(\displaystyle \frac{15}{sin\:22} = \frac{x}{sin\:110} \hookrightarrow \frac{15sin\:110}{sin\:22} = x \hookrightarrow 37,627178911... = x \\ \\ 38 ≈ x\)

3. \(\displaystyle \frac{-19^2 + 17^2 + 14^2}{2[17][14]} = cos∠X \hookrightarrow \frac{-361 + 289 + 196}{476} = cos∠X \hookrightarrow 0,2605042016... = cos∠X; 74,900018217...° = cos^{-1}\:0,2605042016... \\ \\ 75° ≈ m∠X\)

2. \(\displaystyle 16^2 + 42^2 - 2[42][16]\:cos\:120 = x^2 \hookrightarrow 256 + 1764 - 1344\:cos\:120 = x^2 \hookrightarrow \sqrt{2692} = \sqrt{x^2}; 2\sqrt{673}\:[or\:51,884487084...] = x \\ \\ 52 ≈ x\)

You could have also used the Law of Sines sinse the base angles are congruent [30°].

1. \(\displaystyle \frac{sin\:148}{25} = \frac{sin∠X}{12} \hookrightarrow \frac{12sin\:148}{25} = sin∠X \hookrightarrow 0,2543612468... = sin∠X; 14,735739332...° = sin^{-1}\:0,2543612468... \\ \\ 15° ≈ m∠X\)

I am joyous to assist you at any time.

Answer:

C. (x+7)(x+6)

Step-by-step explanation:

F: X*X = X^2

O: x * 6 = 6x

I: 7 * x = 7X

L: 7*^ = 42

Answer:

17/5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

2/3p + 3

p = 3/5

Step 2: Evaluate

The interpretation of 0 = -12 is (a) There are no solutions to the system because the equations represent parallel lines.

The result is given as:

0 = -12

By comparison 0 and -12 do not have the same value

i.e. 0 ≠ - 12

This means that the system of equation has no solution

Hence, the interpretation of 0 = -12 is (a)

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This question is about ratios. Initially, 8 people have enough water for 9 days. When 4 more people join, the water supply will now last for 6 days.

This question involves a concept of Mathematics, specifically in the area of ratios or proportions. The initial premise is that 8 people on a trek have enough water to last them for 9 days. We can express this ratio as 8:9, which means for every 8 persons, the group can sustain its water supply for 9 days.

Now, we must calculate what would happen if 4 more people join the trek. Since now there are 12 people (8 original + 4 new), the new ratio becomes 12:9. However, the amount of water remains fixed. We can find the number of days the water will now last by dividing the quantity of water by the increased number of people, i.e., 9 days * (8 people/12 people) = 6 days.

So, when 4 more people join the group, the water supply will last the whole group for 6 days.

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Answer:

log

2

(

y

)

=

5

→

2

5

=

y

⇒

y

=

32

Step-by-step explanation: