determine if the table is linear, if so, write an equation for the linear table.

Let the total number of offices in the building be x.

We can represent the information provided in the question mathematically as:

Solving for x:

Cross-Multiply:

Hence, there are 140 offices in the building.

Answer: 140 offices

We solve as follows:

So, the value of "blank" is 80.

The product of 21 and the difference between one whole number 1/2 and -1/2​ is; 42

We want to find the product of 21 and the difference between one whole number 1/2 and -1/2​. This can be expressed as;

21 * (1¹/₂ - (-¹/₂))

Let us first solve the bracket out using the order of operations rule named PEMDAS which stands for  P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction to get;

1¹/₂ - (-¹/₂)

= 1¹/₂ + ¹/₂

= 2

Thus;

21 * (1¹/₂ - (-¹/₂)) = 21 * 2

= 42

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Tristan should make 8 pieces of length 0.125 yards each to make a steps to the deck 1 yards above.

Division is breaking a number up into an equal number of parts. Mathematically, we can write "[a] divided by [b]" as a ÷ b. The division algorithm is given by -

D = dq + r

[D] - Dividend

[d] - Divisor

[q] - Quotient

[r] - remainder

Given is Tristan who is building steps up to a deck that is 1 yards above the ground. The steps must all be the same height an he wants to make 8 steps.

Total number of steps to be made = [n] = 8

Height of deck = [h] = 1 yard.

Now, we have to divide 1 yard into 8 equal parts. Therefore, assume

that -

A = 1 ÷ 8

A = 1/8

0.125

We get the length of each step to be 0.125 yards.

Therefore, Tristan should make 8 pieces of length 0.125 yards each to make steps to the deck 1 yards above.

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Answer:

False

Step-by-step explanation:

Domain is the x-axis, range is the y-axis. In an ordered pair, the x-values go first, not second.

Using proportions, it is found that the maximum the company can expect for returned items is of:

$4,616.

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using basic arithmetic operations such as multiplication or division along with the unit rates in the context of this problem.

The lost amount to returns each day is of 15% of 27235, and this amount is calculated as follows:

0.15 x 27235 = $4,085.25

(the decimal equivalent of the percentage is multiplied by the original amount to find the equivalent amount).

The margin of error is of 13%, hence this amount can still be increased by 113, that is, multiplied by 1.13, hence:

4085.25 x 1.13 =  $4,616.

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Answer:

The answer is D $4902.30

Step-by-step explanation:

Answer:

A = 7986 m²

Step-by-step explanation:

the field is in the form of a trapezium.

the area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular distance between the bases b₁ and b₂

here h = 66 , b₁ = 102, b₂ = 140 , then

A = [tex]\frac{1}{2}[/tex] × 66 × (102 + 140) = 33 × 242 = 7986 m²

Answer:

7986 m²

Step-by-step explanation:

The field geometric shape is a trapezoid whose bases are 102 m and 140 m and height of 66m

The equation for the area of a trapezoid is given by
[tex]A = \dfrac{a + b}{2} h\\\\[/tex]

where a and b are the two sides and h is the height

Here a = 102, b = 140 and h = 66

Substitute these values directly into the equation for area

[tex]A = \dfrac{102 + 140}{2} \times 66\\\\A = (102 + 140) \times \dfrac{66}{2}\\\\\\102 + 140 = 242\\\\\dfrac{66}{2} = 33\\\\\\A = 242\ \times 33 = 7986\; m^2[/tex]

Answer:

[tex]\frac{2}{3}[/tex] and [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

(a)

fraction Rhys gets is [tex]\frac{16}{24}[/tex] = [tex]\frac{2}{3}[/tex]

(b)

Ben is left with £24 - £16 = £8

then fraction Ben has left is

[tex]\frac{8}{24}[/tex] = [tex]\frac{1}{3}[/tex]

According to the given table, the number of students that passed the test and did not complete the homework is

Also, from the table, we get that the total number of students that passed the test is

Therefore, the probability that a student that passed the test did not complete the homework is:

Answer:

Answer:1,086

Step-by-step explanation: Initial Deposit

$400

Contributions

$0

Investment Time Span

20

Estimated Rate of Return

5.00%

Answer:

Step-by-step explanation:

x/7=12

The equation could Nicholas use to find tea the amount the amount of time in minutes he will spend typing his report has W words is w = 30t .

In contrast to velocity, which describes the speed and direction of an object's movement, speed is the rate of movement along a path. Alternatively, velocity is a vector while speed is a scalar quantity. Velocity and speed are denoted by the letters v and v, respectively (boldface). The symbol has a bar over it for average values. How swiftly something is going, being done, or something that is moving quickly is measured in terms of speed. Driving an automobile 45 miles per hour is an illustration of speed. Someone cleaning a room in 10 minutes would be an example of quickness. the definition of speed. a direction or speed at which an object's location changes.

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Part A.

From the given table, we can see that the variable occupation is a Categorical variable becasue the occupation can divide a set of people into groups. Then, the level of measurement is Nominal because the occupation describes the objects by labels, with no quantitative value.

Part B.

Temperature is a Quantitave variable because we can measure the temperature of an object. Regarding the level of measurement, the temperature is an Interval variable because zero temperature is not the lowest possible temperature.

Part C.

The price is a Quantitative variable because the price is a numerical value with a meaningful order. Regarding the level of measurement, the price is a Ratio variable because it has a true zero, meaning that we can take ratios of values.

Based on the graph of the function shown, we can logically deduce the following:

The vertical extent of a graph represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

Similarly, the horizontal extent of a graph represents all domain values and they are also read and written from smaller to larger numerical values, and from the left of the graph to the right.

By critically observing the graph of the given function shown above, we can reasonably and logically deduce the following:

In conclusion, the function which this graph represent is a continuous function because both the domain and range is defined for all set of values in the interval above.

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The total number of ways she can hang the painting is 720 after applying the concept of permutation and combination.

The variety of possible arrangements of a set is its permutation however order is important in permutations but not in combinations.

It is given that:

Alicia wants to place her ten paintings side by side on the wall.

We can get the factorial of 6 and use that knowledge to calculate how many ways there are to multiply 6 by multiplying it by all positive integers that are more than or equal to that number, in this case, 6.

Alicia can arrange her six paintings:

6! = 6x5x4x3x2x1

6! = 720

Thus, the total number of ways she can hang the painting is 720 after applying the concept of permutation and combination.

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The equation of a line in point-slope form is given by

Where

Thus, if we substitute the above values into the equation:

Answer:

a) DE = 15 cm

b) AB = 6 cm

Step-by-step explanation:

Explanation #a)

- Relating the triangle ABC with triangle DCE, a scale factor fomula is used;

[tex]{ \rm{ \frac{ \bar{DE}}{ \bar{BC} }} = \frac{ \bar{CE}}{ \bar{AC} } } \\ \\ { \rm{ \frac{\bar{DE}}{5} = \frac{24}{8} }} \\ \\ { \rm{\bar{DE}} = \frac{24 \times 5}{8} } \\ \\ { \rm{\bar{DE}} = 15 \: cm}[/tex]

Explanation #b)

[tex]{ \rm{ \frac{ \bar{CE}}{ \bar{AC}} } = \frac{ \bar{CD}}{ \bar{AB} }} \\ \\ { \rm{ \frac{24}{8} = \frac{18}{\bar{AB}} }} \\ \\ { \rm{\bar{AB} = \frac{18 \times 8}{24} }} \\ \\ { \rm{\bar{AB} = 6 \: cm}}[/tex]

- Therefore, the scale factor is 2, triangle CDE = 2ABC

[tex]{ \boxed{ \red{ \delta}}}{ \underline{ \red{ \mathfrak{ \: \: creed}}}}[/tex]

Answer:

Step-by-step explanation:

Solution

For this case we have the following:

g = 12 and h=19

And we want to find 3h(h-g)

If we replace we got:

3*19 (19-12) =57*7=399

Then the answer would be:

D. 399​

The whole twenty thousand dollars that were distributed has to be accounted for as part of the gross revenue.

This is further explained below.

Generally, A person's or a household's gross income is the whole amount of money earned before any deductions or taxes are taken out of that income. This includes all wages, salaries, profits, interest payments, rentals, and other types of earnings.

Because it is treated as regular income, the amount that was withdrawn is subject to taxation at the same rate as ordinary income under the federal income tax system.

If, on the other hand, Kathy makes the decision to convert her 401(k) to a Roth 401(k), then any money she takes out of the account will not be subject to taxes.

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-3.4 is the number which will come first.

To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue. the act of simplifying something such that it is simpler to carry out or understand, or the thing that is the product of this simplifying process: The group offers suggestions for streamlining business processes. This grossly oversimplifies what actually transpired.

Given Data

5, 1/3 -1. √3. - 12/21,6,3.4

Simplifying,

5, [tex]\frac{1}{3}[/tex] - 1, √3. -[tex]\frac{12}{21}[/tex], 6, -3.4

5, -0.6 , [tex]\sqrt{3}[/tex] , -0.5 ,6,-3.4

-3.4 is the number which will come first.

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The prediction of outcomes of the number of 1 is 12

The given parameters are

Device = A die

Number of rolls = 72

From the question, the die is six-sided

This means that the sample space is

S = {1, 2, 3, 4, 5, 6}

So, the probability of rolling a 1 is

P(1) = 1/6

When the die is rolled 72 times, the number of outcomes of 1 is

Outcomes = P(1) * n

Where n = 72

So, we have

Outcomes = 1/6 * 72

Evaluate

Outcomes = 12

Hence, the prediction is 12

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Answer with explanation: A hiker has increased his distanced covered by 10% each day since the start, the total distance covered at the end of the 7th day is 75.897mile:

(A) The number of miles on the first day:

Substituting the total miles covered on the 7th day in equation(0) gives:

Therefore on the first day, the hiker covered about 7.99 miles:

(B) The equation for the S:

The equation (1) gives the number of miles hiked on the nth day.

(C) miles covered on 10th day:

The number of miles covered on the 10th day is calculated using the equation(1) as follows:

The number of miles covered on the 10th day is 127.340miles.

About the formula used:

In conclusion, the formula used is the same as the one that was required to be used.

SUBSTITUTE THE KNOWNS IN THE GIVEN GENERAL EQUATION BELOW AND SIMPLIFY TO GET c

[tex]y = mx + c \\ 20 = - 3( - 5) + c \\ 20 = 15 + c \\ c = 20 - 15 \\ c = 5[/tex]

Meaning

[tex]y = - 3x + 5[/tex]

IS THE EQUATION

Pencils: $0.25 each

Notebooks: $2.50 each

Backpacks: $32 each

The cost of the notebooks (C) must be equal to the price of each notebook (2.50) multiplied by the number of notebooks bought (x)

C = 2.50x

Answer:

7

Step-by-step explanation:

14/2=7

Part 1

Remember that

If two triangles are similar , then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

so

Verify the proportion

38.5/14=22/8

38.5*8=14*22

308=308 -----> is true

that means

Part 3

Verify the proportion

22/9=30/12=25/10

2.44=2.5=2.5 ------> is not true

that means

Answer:

A

Step-by-step explanation:

3x + 4 = x - 6 ( subtract x from both sides )

2x + 4 = - 6 ( subtract 4 from both sides )

2x = - 10 ( divide both sides by 2 )

x = - 5

Answer:x 1= x. Examples: 41=4. 5)

Step-by-step explanation: