Your mother gave you $15.80 with which
to buy a present. This covered of the
2
3
cost. How much did the present cost?

Mena will finish on her last piece of equipment at 4:45 pm.

The possible orders in which Mena could use the four pieces of equipment are:

STBR, SBTR, SRBT, SRTB, BSTR, BTSR, BRST, BRTS, RSTB, RBTS, RTSB, RTBS

If Mena has a 3 minute break between each piece of equipment and she spends 11 minutes on the stepper, 15 minutes on the treadmill, 48 minutes on the bike, and 1 hour and 25 minutes on the rower, she will finish on her last piece of equipment at:

After 11 minutes on the stepper, the time will be 2:08 pm.

After 3 minute break, the time will be 2:11 pm.

After 15 minutes on the treadmill, the time will be 2:26 pm.

After 3 minute break, the time will be 2:29 pm.

After 48 minutes on the bike, the time will be 3:17 pm.

After 3 minute break, the time will be 3:20 pm.

After 1 hour and 25 minutes on the rower, the time will be 4:45 pm.

So, Mena will finish on her last piece of equipment at 4:45 pm.

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Answer:

C

Step-by-step explanation:

use inverse operation to solve an equation

x + 7 = 13

x = 6

The critical value of f at 0.05 level is 3.7083.

The ANOVA table breaks down the components of variation in the data into variation between treatments and error or residual variation. Statistical computing packages also produce ANOVA tables as part of their standard output for ANOVA, and the ANOVA table is set up as follows: Source of Variation and Sums of Squares (SS)

From given ANOVA table,

df of among treatments = 3066.63 / 1022.21 = 3

df Error = 13 - 3 = 10

Critical f value Fc = F(\alpha, d.f.1 , d.f.2) = F(0.05, 3 , 10) = 3.7083

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Complete question:

Step 7 of 8: What is the critical value of F at the 0.05 level? Please round your answer to four decimal places, if necessary.

Answer:

102

Step-by-step explanation:

If the decimal is 4 and lower, you round down. 5 and higher, you round up. In this situation the decimal is a 3, therefore you will round to 102 instead of 103.

To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.

First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.

Depreciation per year = (Cost - Salvage Value) / Useful Life

Depreciation per year = ($746,800 - $80,200) / 10 years

Depreciation per year = $66,160

Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.

Accumulated Depreciation = Depreciation per year × Years

Accumulated Depreciation = $66,160 × 7.33 years

Accumulated Depreciation = $484,444.80

Now, we can calculate the book value of the furniture:

Book Value = Cost - Accumulated Depreciation

Book Value = $746,800 - $484,444.80

Book Value = $262,355.20

Finally, we can calculate the gain on the sale:

Gain on Sale = Sale Price - Book Value

Gain on Sale = $300,000 - $262,355.20

Gain on Sale = $37,644.80

Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.

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The gain that should be recognized on the sale of the office furniture is $84,080.

The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.

Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.

For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420

Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.

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well, the original price was "x", which oddly enough is the 100%, we also know that 25% off that is 30 bucks, so namely 100% - 25% = 75%, is 30 bucks, so

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 30&75 \end{array}\implies \cfrac{x}{30}=\cfrac{100}{75}\implies \cfrac{x}{30}=\cfrac{4}{3} \\\\\\ 3x=120\implies x=\cfrac{120}{3}\implies x=40\)

Your answer will be X = 11 over 2, if that's a 2 over 5 in the beginning of the problem

Answer:

The answer is 5⁴/3¹⁰

Step-by-step explanation:

(5‐².3⁵)‐²

(5‐²×3⁵)‐²

(5)‐²*‐²×(3)⁵*‐²

5⁴×3‐¹⁰

5⁴

---

3¹⁰

Answer:

to get to 140$ you need to get 10 plates  

Step-by-step explanation:

65$

7.5 x 10 =75

75+65=140.

A number minus 8 is the same as a number divided by 2.

We have to find that number\(.\)

Let the number be x.

From the given question,

1. Number minus 8

2. Number divided by 2

ATQ : (I) = (II)

⭆ x - 8 = x/2

⭆ 2(x -8) = x

⭆ 2x - 16 = x

⭆ 2x - x = 16

⭆ x = 16

Answer:

2 repeating digits

Answer:

1. 12  2. 12  3.1/8    4. 11  5. -15   6.-60   7.20  8.225

Step-by-step explanation:

Given that :

m=2 and n=16 , p = {1-6 =-5}  then;

1.  m+10 = 2+10 = 12

2. n-4 = 16-4 = 12

3. m / n = 2/16 = 1/8

4. 6m - 1 = 6*2 - 1 = 12 -1 = 11

5. 3p =3* -5 = -15

6.12 p = 12* -5 = -60

7. 12m-4 = 12*2 - 4 = 24 -4 =20

8. 9p² = 9*-5² = 9 * 25 = 225

Holy will take 13/5 or 2.6 hours to finish the bookcase.

The relation between time and work is

Work Done = Time Taken × Rate of Work ·

or, Rate of Work = 1 / Time Taken ·

or, Time Taken = 1 / Rate of Work ·

Now it is given that,

Time taken by Fritz to build a bookcase =  8 hours

So, Bookcase build by Fritz in 1 hour = 1/8

Similarly,

Time taken by Holly to build a bookcase =  10 hours

So, Bookcase build by Holly in 1 hour = 1/10

So, bookcase build in 3 hours

Fritz = 3/8

Holly = 3/10

Total bookcase build in 3 hours =  3/8 + 3/10 =  27/40

So. remaining work =  1 - 27/40 =  13/40

Thus, Time taken by Fritz to complete the bookcase =  8 * (13/40) hours

                                                                                         =  13/5 or 2.6 hours

Thus, Holy will take 13/5 or 2.6 hours to finish the bookcase.

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Answer:

26 is my guess

Answer:

8000 cm^2 or 8 m^2

Step-by-step explanation:

We can convert 2 meters to centimeters, simply by multiplying the ,meters value by 100. So, the converted dimensions of the rectangle are 200 cm by 40 cm. Multiplying to get the area, we have 8000 cm^2. This could also be expressed in terms of m^2 as 8 m^2.

Answer:

There are 8 erasers in the box

Step-by-step explanation:

given that the Ratio of pencils to erasers is  3:2

No matter how many pencils and erasers are there the ratio will simplify to the given ratio.

Let x be the number of erasers when there are 12 pencils

The ratio of 12 pencils to x erasers will be same 3:2

Putting it mathematically

\(\frac{pencils}{erasers} = \frac{pencils}{erasers}\\\frac{12}{x} = \frac{3}{2}\\12 * 2 = 3x\\3x = 24\\\frac{3x}{3} = \frac{24}{3}\\x = 8\)

Hence,

There are 8 erasers in the box

The approximate measure of the largest angle in the triangle is of:

θ = 63.4º.

The vertices of the triangle are given as follows:

N(2,2) and P(0,-2).

The triangle is symmetric over the y-axis, hence the remaining vertex is given as follows:

M(-2,2).

The side lenghts of the triangle are given as follows:

The height of the triangle is of:

4 units.

Hence the base angle is:

The tangent is:

tan(θ) = opposite side/adjacent side

Hence:

tan(θ) = 4/2

tan(θ) = 2

θ = arctan(2)

θ = 63.4º.

The diagram given by the image at the end of the answer represents the situation.

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Answer:

according to Pythagorean blah blah blah, the height will be 4 so the answer is 16

Step-by-step explanation:

Answer:

Solution

A=bh=4·3=12p-by-step explanation:

Answer: x= -3

Step-by-step explanation:

1) Set up the equation with triangle sum

35 + x + 58 + 90 = 180

2) Solve

183 + x = 180

x = -3

2(x + 3) = 2x + 6

1. Correct - 2 * (x + 3) = 2x + 6

2. Correct - (x + 3)2 = 2x + 6

3. Correct - 2x + 6

4. Incorrect - 2x + 3

5. Incorrect - 2x + 3

6. Incorrect - 3x + 6

Hope this helps!

Answer:

The slope is 30, and the y-intercept is 75.

Step-by-step explanation:

Use two points from the table, and find the equation of a line given two points.

Point 1: (1, 105)

Point 2: (3, 165)

y = mx + b

slope = m = (y_1 - y_1)/(x_2 - x_1)

m = (165 - 105)/(3 - 1) = 60/2 = 30

y = 30x + b

Use point (1, 105) for x and y.

105 = 30(1) + b

105 = 30 + b

b = 75

y = 30x + 75

The slope is 30, and the y-intercept is 75.

The median of the following set of numbers  (18, 26, 29, 18, 44) is 26. The correct option to this question is option A

To find median of the following sequence (18, 26, 29, 18, 44) we will arrange them in ascending order

                            18 , 18 , 26 , 29 , 44   . . . . . .  . . . .(1)

Since the number of terms is odd we will apply the formula

                     Median  = \(\frac{(n+1)}{2} th\) term . . . . . . .(2)

       Here n = number of terms

As per question the n = 5

Therefore putting in equation 2 we get

                      Median = \(\frac{(5+1)}{2} th\) term

                      Median = \(\frac{6}{2} th \\\)  term

                      Median = 3 term

Hence the third term from the sequence ( shown in 1 ) we get the median that is 26

Hence the median of the following set of numbers (18, 26, 29, 18, 44) is 26 .

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The median is:

26

Explanation:

First, we will arrange the numbers from least to greatest.

18, 26, 29, 18, 44

Rearrange

18, 18, 26, 29, 44.

Now, the median is the number in the middle, which is 26.

The required value of y for the unit circle is: 2/3

The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).

The equation of the circle is given by:

(x - h)² + (y - k)² = r²

where:

h, k is the coordinate of the center of the circle on coordinate plane.

r is the radius of the circle.

Here,

Equation of the unit circle is given as,

x² + y² = 1

Now substitute the given value in the equation,

5/9 + y² = 1

y² = 1 - 5/9

y² = 4/ 9

y = √(4/9)

y = 2/3

Thus, the required value of y for the unit circle is 2/3

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The length of one leg of the right triangle is 5√10

The leg of a right triangle can be found as follows;

Therefore, using trigonometric ratios,

sin 45 = opposite / hypotenuse

sin 45 = x / 10√5

1 / √2 = x / 10√5

cross multiply

10√5 = x√2

divide both sides by √2

x = 10√5 / √2

x = 10√5 / √2 × √2 / √2

x = 10√10 / 2 = 5√10

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Answer:

1,6,2 and 5

Step-by-step explanation:

(2x/5)² . (1x⁴/4)^-1

=(2²x²/5²) . (4/x⁴)

=4x²/25 × 4/x⁴

= 16/25x²

The dual for the given linear programming problems are as follows:

(i) Minimize Z' = 10a + 12b Subject to: a + 7b ≥ 3 2a + 3b ≥ 4 a + 9b ≥ 5 a, b ≥ 0.

(ii) Maximize Z' = 5a + 6b + 2c Subject to: 3a + 2b + c ≤ 1 4a + 6b + c ≤ 2 a + b ≤ 0 a, b, c ≥ 0.

In the first problem, we have a maximization problem with three variables (x, y, z) and two constraints. The dual formulation involves minimizing a new objective function with two variables (a, b) and four constraints. The coefficients of the variables and the constraints are transformed according to the rules of duality.

The primal problem is:

Maximize Z = 3x + 4y + 5z

Subject to:

x + 2y + z ≤ 10

7x + 3y + 9z ≤ 12

x, y, z ≥ 0

To find the dual, we introduce the dual variables a and b for the constraints:

Minimize Z' = 10a + 12b

Subject to:

a + 7b ≥ 3

2a + 3b ≥ 4

a + 9b ≥ 5

a, b ≥ 0

In the second problem, we have a minimization problem with two variables (y1, y2) and three constraints. The dual formulation requires maximizing a new objective function with three variables (a, b, c) and four constraints. Again, the coefficients and constraints are transformed accordingly.

The primal problem is:

Minimize Z = y1 + 2y2

Subject to:

3y1 + 4y2 > 5

2y1 + 6y2 ≥ 6

y1 + y2 ≥ 2

To find the dual, we introduce the dual variables a, b, and c for the constraints:

Maximize Z' = 5a + 6b + 2c

Subject to:

3a + 2b + c ≤ 1

4a + 6b + c ≤ 2

a + b ≤ 0

a, b, c ≥ 0

The duality principle in linear programming allows us to find a lower bound (for maximization) or an upper bound (for minimization) on the optimal objective value by solving the dual problem. It provides useful insights into the relationships between the primal and dual variables, as well as the economic interpretation of the problem.

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The probability that the cost of automobile repair will be less than $20 is 0.7256.

To determine the probability, we need to use the appropriate appendix table. From the given question, we can see that we are dealing with a continuous random variable (cost of automobile repairs) and we need to find the probability associated with certain cost values.

Probability that the cost will be more than $4an

Since the question asks for the probability that the cost will be more than $4an, we need to find the area under the probability density function (PDF) curve to the right of $4an. By referring to the appropriate appendix table, we can find the corresponding z-score for $4an. Let's assume the z-score is z1. Using the z-table, we can find the probability associated with z > z1, which gives us the probability that the cost will be more than $4an.

Probability that the cost will be less than $29an

Similarly, to find the probability that the cost will be less than $29an, we find the area under the PDF curve to the left of $29an. We determine the z-score for $29an (let's assume it is z2), and by using the z-table, we find the probability associated with z < z2, which gives us the desired probability.

Probability that the cost will be between $200 and $907

To find the probability that the cost will be between $200 and $907, we calculate the area under the PDF curve between these two values. We determine the z-scores for $200 and $907 (let's assume they are z3 and z4, respectively). Using the z-table, we find the probability associated with z3 < z < z4, which gives us the desired probability.

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Answer:

n-4>58

Step-by-step explanation:

Answer:

n-4>58

Step-by-step explanation: