A 2-column table with 5 rows. Column 1 is labeled Key Words with entries three, times, the difference of, nine, a number. Column 2 is labeled Replace With entries 3, times (minus), 9, h.
Write and evaluate the expression. Then, complete the statement.



three times the difference of nine and a number



Write and evaluate the expression. Then, complete the statement.

three times the difference of nine and a number

The value of the expression when h = 5 is ????

Answer:

$0.22

Step-by-step explanation:

$0.44 -1/2 cup = $0.22

Using the fact that ∠A is congruent to ∠B and ∠C is a complement of ∠A, we determined that the measure of ∠B is 65° based on the given measure of ∠C as 25°.

If ∠A is congruent (≅) to ∠B and ∠C is a complement of ∠A, we can use the properties of complementary angles to find the measure of ∠B.

Given that m∠C = 25° and ∠C is a complement of ∠A, we know that ∠A + ∠C = 90°.

Since ∠A is congruent to ∠B, we can replace ∠A with ∠B in the equation:

∠B + ∠C = 90°.

Substituting the given value, we have:

∠B + 25° = 90°.

To isolate ∠B, we subtract 25° from both sides of the equation:

∠B = 90° - 25°.

Simplifying, we get:

∠B = 65°.

Therefore, the measure of ∠B is 65°.

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Answer:

1

Step-by-step explanation:

Answer:

To prove that 7^7 - 7^6 is divisible by 6, we can factor out 7^6 from the expression:

7^7 - 7^6 = 7^6 (7 - 1)

Simplifying the expression, we get:

7^7 - 7^6 = 7^6 (6)

We can see that 7^6 is a common factor in the expression, and 6 is also a factor. Therefore, we can conclude that 7^7 - 7^6 is divisible by 6.

Step-by-step explanation:

Answer:

Ann traveled 165 miles on 5 gallons of gas

Step-by-step explanation:

First we must know how many miles are in a gallon (in this situation). Last weekend Ann drove 132 miles with 4 gallons of gas, we can divide to find out how many miles she drove on 1 gallon. 132/4 = 33. This means Ann drove 33 miles on 1 gallon of gas. To get your answer, simply multiply 5 and 33. 5 times 33 = 165.

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

\(B'=\{f,g,h,p,x\}\\B'\cup A=\{f,g,h,p,q,r,x\}\\(B'\cup A)\cap C=\{g,h,p,q\}\)

Answer:

52.6704

Step-by-step explanation:

The lengths of a professor's classes has a continuous uniform distribution between 49.29 min and 55.55 min

Let x = 49.29, y=55.55

Percentile(P) = 54/100 = 0.54

P54 = x+(y-x)p

P54 = 49.29 + (55.55-49.29)*0.54

P54 = 49.29 + 6.26*0.54

P54 = 49.29 + 3.3804

P54 = 52.6704

The balance point of the dataset is the mean of the dataset

The balance point of the dataset is 20

From the dataset, we have the following frequency table

Data (x)     Frequency (f)

15                    2

24                   1

26                  1

The balance point of the dataset is the mean value of the dataset, and the mean is calculated as:

\(\bar x = \frac{\sum fx}{\sum f}\)

This gives

\(\bar x = \frac{15 * 2 + 24 * 1 + 26 *1}{2 +1+1}\)

Evaluate the sum

\(\bar x = \frac{80}{4}\)

Evaluate the quotient

\(\bar x = 20\)

Hence, the balance point of the dataset is 20

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The measure of angle 4 is 56 degrees.

Vertical angles are the angles that are formed when two lines intersect each other. These are angles on the opposite side of the intersection. These angles are equal.

The measure of angle 1 is given as 56 degrees.

It is given that angle 4 is a vertical angle with respect to angle 1.

We know that vertical angles are equal in measurement.

Therefore, we can come to the conclusion that angles have the same measure. We can thus confirm that angle 4 = angle 1 = 56 degrees.

Thus, we have found that the measure of angle 4 is 56 degrees.

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Answer:

The sixth angle is 115°.

Step-by-step explanation:

Number of sides in a hexagon = n =6

Sum of interior angles = (n−2)180°

= (6−2)180 ∘

= 720

∴ Let the six angle of hexagon be x.

⇒ x + 123 + 124 + 118 + 130 + 110 = 720°

⇒ x + 605 = 720°

⇒ x = 720 - 605

⇒ x = 115

Answer:

it is c

Step-by-step explanation:

Based on the information given regarding the function, the correct option is C. g (x) = negative StartRoot x + 3 EndRoot + 8.

It should be noted that a function simply means the relation from a set of inputs to a set of possible outputs.

In this case, the function that has the same range as | f (x) = negative 2 StartRoot x minus 3 EndRoot + 8 will be g (x) = negative StartRoot x + 3 EndRoot + 8.

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Answer:

Step-by-step explanation:

At least 9 means more than 9 and includes 9

x ≥ 9     and    [9,  +∞)

At most 9 means numbers less than 9

x≤9       and  (-∞, 9]

more than 9 means bigger than 9 but not including 9

x > 9     and    (9,  +∞)

fewer than 9 means less than 9 but not including 9

x<9       and  (-∞, 9)

strictly between 7 and 9   means between 7 and 9 but not including

7<x<9      and    (7,9)       (This is the only one I'm unsure of.  Strictly, not sure if it includes or doesn't include, usually it just says include or doesn't include)

between 7 and 7 inclusive.   means it's just =7  There's no boundaries

x=7

no more than 7 means less than 7 and includes 7

x ≤ 7   and   (-∞, 7]

Answer:

91.44

Step-by-step explanation:

Answer:

3 ft = 91.44 cm

Step-by-step explanation:

We want to convert 3 ft to cm.

So we need a conversion factor.

Multiplying 3 ft by (12 in / 1 ft results in 36 in (this is equivalent to 3 ft).

Next, we convert 36 in to cm:

36 in    2.54 cm

-------- * ------------- = 91.44 cm

   1           1 in

These are the possible combination of winning players:

{P1, P2}( weight :32)                       {P1, P2, P4} (weight: 31)

{P1, P2, P3} (weight: 45)                 {P1, P2, P3, P4} (weight: 46)

{P1, P3, P4} (weight: 31)                   {P1, P3} (weight: 30)    

What is the distribution?

The mathematical expression known as a distribution function expresses the likelihood that a system would adopt a certain value or range of values. The traditional examples include games of chance.

The voting system tells us that the quota is 30, that Player 1 has 17 votes (or equivalently, has a weight of 17), Player 2 has 15 votes, Player 3 has 13 votes, and Player 4 has 1 votes.

A coalition is any group of one or more players. What we're looking for is winning coalitions - coalitions whose combined votes (weights) add to up to the quota or more. So the coalition  {P3, P4}  is not a winning coalition because the combined weight is  13 + 1 = 14, which is below the quota.

So we look at each possible combination of players and identify the winning ones:

{P1, P2}( weight :32)                       {P1, P2, P4} (weight: 31)

{P1, P2, P3} (weight: 45)                 {P1, P2, P3, P4} (weight: 46)

{P1, P3, P4} (weight: 31)                   {P1, P3} (weight: 30)            

Hence, these are the possible combination of winning players.

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There are 2 answers to this question

First Answer:

1+1=2

Second Answer:

Window

Explanation:

1 goes on the top

1 goes on the bottom

The first - of the = goes on the side

The second - of the = goes on the other side

The + sign goes in the middle

Heres a picture example:

I hope this helps you have a good day/night/afternoon

Answer:

\( {8}^{ \frac{3}{4} } • {3}^{ \frac{15}{4} } \) (third opti0n)

Step-by-step explanation:

\((8 • {3}^{5} {)}^{ \frac{3}{4} } \)

\( {8}^{ \frac{3}{4} } • ( {3}^{5} {)}^{ \frac{3}{4} } \)

\( = {8}^{ \frac{3}{4} } • {3}^{ \frac{15}{4} } \)

Answer:

B. 16.4

Step-by-step explanation:

Well in 16.4 the digit 6 is the first number meaning it is 6 ones.

Thus,

choice b is correct.

Hope this helps :)

There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.

First, we can standardize the problem by using the z-score formula:

z = (x - μ) / σ

Where:

x = the weight value we want to find the probability for (345 g in this case)

μ = the mean weight (350 g)

σ = the standard deviation (4 g)

Substituting the values into the formula:

z = (345 - 350) / 4 = -1.25

Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.

The probability of obtaining a z-score less than -1.25 is approximately 0.1056.

However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.

The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.

Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

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Answer:

D. similar

Step-by-step explanation:

similar but not congruent to one another.

A pyramid has cross-sectional shapes, taken parallel to its base, that are similar to one another.

Therefore, A pyramid has cross-sectional shapes, taken parallel to its base, that are similar to one another.

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Answer:

yellow blue green gray black white

The cost price of the shorts is K22.50.

To find the cost price of the shorts, we need to reverse calculate the original price before the markup and taxes were applied.

Let's assume the cost price of the shorts is represented by C.

The markup of 17% is applied to the cost price, which means the selling price (including the markup) is 117% of the cost price.

117% of the cost price C can be calculated as (117/100) * C.

GST (Goods and Services Tax) is also included in the selling price. GST is typically calculated as a percentage of the selling price. In this case, the selling price of the shorts including GST is K29.25.

Since the GST is included in the selling price, we can subtract it from the selling price to obtain the selling price before GST.

Let's assume the GST rate is R% (as a decimal), then the selling price before GST can be calculated as:

Selling price before GST = Selling price - (Selling price × R)

In this case, the selling price before GST is K29.25, and the GST rate is 17% (0.17 as a decimal). Substituting these values into the equation, we have:

K29.25 = Selling price - (Selling price × 0.17)

Simplifying the equation

K29.25 = Selling price × (1 - 0.17)

K29.25 = Selling price × 0.83

Selling price = K29.25 / 0.83

Now we can substitute the selling price in terms of the cost price:

K29.25 / 0.83 = (117/100) × C

Simplifying the equation:

C = (K29.25 / 0.83) × (100/117)

Calculating the cost price C:

C = K22.50

Therefore, the cost price of the shorts is K22.50.

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Answer:

6

Step-by-step explanation:

Answer: 6
The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 18 are: 1, 2, 3, 6, 9, 18

The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30

Then the greatest common factor is 6.

In the above scenario, The point that B is transformed to are coordinates (10, 6). This means that it is translated to the right by 9 units and upwards by 5 units.

In order to derive the new location of point B after the transformation by matrix A, we need to perform matrix multiplication of A with the column vector representing point B.

\(\left[\begin{array}{cc}8&2\\7&1\\\end{array}\right]\)   = \(\left[\begin{array}{cc}1\\1\\\end{array}\right]\)

\(\left[\begin{array}{cc}(8 * 1) + &(2 *1)\\(7 *1)&(1 *1)\\\end{array}\right]\) =  \(\left[\begin{array}{cc}10\\6\\\end{array}\right]\)

As a result, the converted point B is situated at (10, 6). As a result of the transformation provided by matrix A, point B has been translated to the right by 9 units (from x = 1 to x = 10) and upwards by 5 units (from y = 1 to y = 6).

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The algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2).  Option B.

To translate a figure 3 units to the left and 2 units up, we need to adjust the coordinates of the figure accordingly. The algebraic rule that represents this translation can be determined by examining the changes in the x and y coordinates.

When we move a figure to the left, we subtract a certain value from the x coordinates. In this case, we want to move the figure 3 units to the left, so we subtract 3 from the x coordinates.

Similarly, when we move a figure up, we add a certain value to the y coordinates. In this case, we want to move the figure 2 units up, so we add 2 to the y coordinates.

Taking these changes into account, we can conclude that the algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2). The x coordinates are shifted by subtracting 3, and the y coordinates are shifted by adding 2. SO Option B is correct.

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Answer:

1672.50 = 37.75x + 1068.50

x = 16

There were 16 players brought to the tournament.

Step-by-step explanation:

y = mx + b

y= the total cost

m = cost of each meal

x = the number of players

b = cost of the bus

Plug in what you know and solve for x

1672.50 =  37.75x + 1068.50  Subtract 1068.50 from both sides.

604 = 37.75x  Divide both sides by 37.75

16 = x

Equation: 1068.50 + 37.75x =1,672.50

Answer: X= 16

If 1,672.50 is our total it will go behind the equal sign. 37.75x and 1068.50 must be added together to help us receive our total.

Our written equation should look like this

1068.50 + 37.75x =1,672.50

X is the number of players on the team.To find out we must first subtract the amount of money spent on the bus, from the total amount spent.

1,672.50-1068.50 is 604. This means our equation now looks like this

37.75x=604. The next and final step is to divide 37.75 into 604.

604/ 37.75 is 16. Which means that there are 16 players on the team.

I hope this helps & Good luck.

Answer:

what are we supposed to do here