Use number properties to simplify the following expression.

-5 + (5 + 3)

In the box below, show each step in simplifying the expression and explain which property you used in each step.

Answer:

67

Step-by-step explanation:

9x−5

x=8

9(8)−5

72−5

=67

Becca made a total of 24 rolls and 12 biscuits.

Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division. The result of a multiplication operation is called a product.

Becca made 2 trays of rolls and biscuits, with 12 rolls and 6 biscuits in each tray. To find the total number of rolls and biscuits, we need to multiply the number of rolls and biscuits per tray by the number of trays, and then add them together:

Total rolls = 2 trays × 12 rolls per tray = 24 rolls

Total biscuits = 2 trays × 6 biscuits per tray = 12 biscuits

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Given:

\(\tan 8\theta =\cot 7\theta\)

To find:

The value of \(\theta\).

Solution:

We have,

\(\tan 8\theta =\cot 7\theta\)

We know that, \(\cot \theta =\tan (90^\circ -\theta)\).

Using the trigonometric property, we get

\(\tan 8\theta =\tan (90^\circ -7\theta)\)

On comparing both sides, we get

\(8\theta =90^\circ -7\theta\)

\(8\theta +7\theta=90^\circ \)

\(15\theta=90^\circ \)

Divide both sides by 15.

\(\theta=\dfrac{90^\circ}{15}\)

\(\theta=6^\circ\)

Therefore, the value of \(\theta\) is 6 degrees.

Answer:

4! 3/4 is already in simplest form and 2/8 can be simplified to 1/4

Answer:

4

Step-by-step explanation:

As described in the analytic geometry, the points are(1.1, -5 )

The area of algebra known as analytical geometry uses an ordered pair of numbers known as coordinates to determine the position of a point on a plane. It is utilized to model many plane objects, including points, lines, and others. The terms Coordinate geometry and Cartesian geometry are both used to refer to analytical geometry.

We have to locate the point where the line is through the x line and y line coordinates

Therefore the point is  (1.1, -5 )

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To determine the sum of money Jeff should invest on January 21, 2020, in order to reach $80000 on August 8, 2020, at an annual interest rate of 5%, we need to calculate the present value of the future amount using the time value of money concepts.

We can use the formula for the present value of a future amount to calculate the initial investment required. The formula is:

Present Value = Future Value / (1 + interest rate)^time

In this case, the future value is $80000, the interest rate is 5% per year, and the time period is from January 21, 2020, to August 8, 2020. The time period is approximately 6.5 months or 0.542 years.

Plugging these values into the formula, we have:

Present Value = $80000 / (1 + 0.05)^0.542

Evaluating the expression, we find that the present value is approximately $75609. Therefore, Jeff should invest approximately $75609 on January 21, 2020, to amount to $80000 on August 8, 2020, at a 5% annual interest rate.

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Answer:

I'm not sure what X or Y equals, But I'm pretty sure this could help!!

1. 4x + 16

2. 8x + 32

3. 2x + 8

The correct answer is option (a) n < 27. By dividing both sides of the inequality by -3, we get n > -27.

To solve the inequality -3n < 81, we divide both sides by -3. Remember that when dividing by a negative number, the direction of the inequality sign changes. Dividing both sides by -3 gives us n > -27. So, the correct answer is option (d) n > -27.

The reasoning behind this is that dividing by -3 reverses the inequality sign, which means that the less than ("<") sign becomes a greater than (">") sign.

Option (a) n < 27 is incorrect because dividing by -3 changes the direction of the inequality. Option (b) is stated to be wrong. Option (c) n = 27 is incorrect because the original inequality is strict ("<") and not an equality ("=").

Therefore, By dividing both sides of -3n < 81 by -3, we get n > -27. Therefore, the correct answer is option (a) n < 27.

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Answer:  12 students passed their test

Answer:

12 students

Step-by-step explanation:

16 x .75 = 12

Answer:

Consider 12:20:40. The second hand and minute hand is not exactly 120 degrees. The minute hand would have moved by an additional 4 degrees in 40 seconds, thus the difference is only 116 degrees between the second and minute hand.

Explanation:   If there isn't an exact answer, at what time will hands be as close as possible to 120 degrees?

Step-by-step explanation:

By definition, pi is equal to c/d, where c is the circumference and d is the diameter.

This means that C = pi(d).

However, since diameter is twice the radius, if we let the radius be r cm, d=2r.

This gives that C=2pi(r).

Answer- 9 shelves

In order to find out how many shelves are need we must divided 175 into 20. 175 divided by 20 is 8.75. But, because you cannot have have .75 of a shelf, you have to round this to a whole. This means that 9 shelves will be the least needed number of shelves need to store 175 books. To check this answer 20 books X 8 shelves is 160 books, which means eight shelves can only store 160 books, we will need and additional shelf to store the last 15 books.

HOPE THIS HELPS & GOOD LUCK!

The minimum number of books required to be equally distributed among the students are 1,440 books.

To find the minimum required books so that they can be equally distributed:

The number of students in three sections of class 6th are 32, 36, and 40.

Now, find the LCM od 32, 36, and 40.

The LCM od 32, 36, and 40 will be 1,440.

Therefore, the minimum number of books required to be equally distributed among the students are 1,440 books.

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Answer:

b+2.673

Step-by-step explanation:

substitute the value of the variable into the equation and simpilfy

Answer:

8.807

Step-by-step explanation:

1. 6.134 + (5.68 - 3.007)

   6.134 + 2.673

   = 8.807 or \((\frac{8807}{1000}, 8\frac{807}{1000} )\)

The aquarium have a length, width and height measuring 6 m each

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

The volume of a cube is the product of its length, width and height. But all the sides are equal, hence:

Volume = length * width * height = length * length * length = length³

A cube aquarium For Five Sea lions has a Volume of 216m³. Hence:

Volume = length³

Substituting:

216 = length³

length = 6 m

The aquarium have a length of 6 m.

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The selection depends on individual needs, preferences, and the intended use of the tiny house.

a) To find the amount of space inside each house, we need to calculate the volume for each design.

House on the left:

Volume = length x width x height = 2.5 m x 18 m x 2.8 m = 126 m³

Triangular house:

Volume of a triangular prism = (base area x height) / 2

Base area = (1/2) x base x height = (1/2) x 4 m x 10 m = 20 m²

Volume = (20 m² x 7 m) / 2 = 70 m³

b) When comparing the environmental impacts of each house, several factors need to be considered:

Positive impacts:

1. Material usage: Tiny houses use fewer materials, reducing resource consumption and waste generation.

2. Energy efficiency: Smaller living spaces require less energy for heating, cooling, and lighting, leading to lower energy consumption.

3. Land utilization: Tiny houses can be built on smaller plots of land, preserving green spaces and reducing urban sprawl.

Negative impacts:

1. Construction materials: Although tiny houses use less material overall, the environmental impact depends on the types of materials used. Sustainable and eco-friendly materials should be prioritized.

2. Water and waste management: Adequate provisions for water supply and waste disposal should be implemented to minimize environmental impacts.

3. Transportation: The transportation of tiny houses to their locations can contribute to carbon emissions if not done efficiently.

c) The choice of design for a tiny house depends on personal preferences and priorities. However, considering the provided information:

The house on the left offers a larger interior space of 126 m³, providing more room for living and storage. It may be suitable for individuals or couples who desire more space and functionality within their tiny house.

The triangular house has a smaller interior volume of 70 m³ but offers a unique design and aesthetic appeal. It may be preferred by individuals who prioritize a distinctive architectural style or who are looking for a minimalist and cozy living space.

Ultimately, the selection depends on individual needs, preferences, and the intended use of the tiny house. Factors such as lifestyle, desired amenities, and personal values regarding sustainability and resource conservation should be considered when making the final decision.

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Answer:

\(The\) \(answer\) \(is\) \(B\) = Both the mean and median will increase, but the mean will increase by more than the median

- written in \(2/5/2021\)

Answer:

2.05

Step-by-step explanation:

10.25 ÷ 5 = 41/20

41/20 = 2.05

Answer:

21.8901 g

Step-by-step explanation:

Given that:

1 gram of pure salt contains 0.393 g of sodium

1 gram = 0.393g

Gram of sodium in 55.7g of pure salt will be x

1g = 0.393g

55.7g = x

Cross multiply:

x = 55.7 * 0.393

x = 21.8901

55.7 g of pure salt will contain about 21.8901 g of sodium chloride

Answer:

the missing angle is 30 and the missing exterior angle is 150

Step-by-step explanation:

180-90=90-60=30

180-30=150

Answer: Exterior angle = 150 degrees

Step-by-step explanation:

Hope that helps!

:)

It would be 20 hours

Step-by-step explanation:

let me know if I am wrong thxs

The dimensions of the room will be 12m x 6m.

So, now calculate the dimensions of the room as follows:

Solve as shown:

Therefore, 12m x 6m will be the dimensions of the room.

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The term completes the product so that it is the difference of squares for (−5x−3)(−5x+__) is 3.

To make the product of (−5x−3)(−5x+___) the difference of squares, we need to find a term that, when multiplied by −5x, gives a square term and when multiplied by −3, gives a square term as well.

The difference of squares is a special case of a polynomial product where we have two terms that are each perfect squares, and their product can be simplified by using the formula a^2 - b^2 = (a + b)(a - b).

In this case, we have a binomial with two terms that are not perfect squares, but we can still use the difference of squares formula if we can find the two terms that differ only by a sign. Here 3 is the term that can be used to complete the product

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Complete question is:

Which term completes the product so that it is the difference of squares?

(−5x−3)(−5x+________)

The probability that Rosa's mom chooses sausage and onion is: 1/8C₂.

Probability refers to the chance of an event occurring. It is given by the formula: number of favorable outcomes/number of total outcomes. The total number of groups from which Rosa's mom can make her choice is 1 and this is the number of favorable outcomes.

But, the total number of outcomes that Rosa can hope to expect are 2 two toppings(sausage or onions) out of 8. So, the selected answer is the representation of the probability.

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The total surface area of the triangular prism is: 111 ft²

To find the total surface area of the given triangular prism, we will find the area of all the surfaces and add it up.

Formula for the area of a rectangle is:

Area = Length * Width

Area of a triangle is:

Area = ¹/₂ * base * height

Thus:

Total Surface area = 2(¹/₂ * 3 * 7) + (7 * 5) + (8 * 5) + (3 * 5)

Total Surface area = 21 + 35 + 40 + 15

Total Surface area = 111 ft²

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Answer:Perimeter =2l +2w

28=2(3x-2) + 2x

Width =4feet

Length =10feet

Step-by-step explanation:

Perimeter of rectangular garden =2(l+b)

Let the width be represented as X

And the length which is 3x-2

Such that the equation to solve for length and width be

Perimeter =2l +2w

28=2(3x-2) + 2x--- system of equation

Solving

28=2(3x-2) +2x

28=6x-4+2x

28=8x-4

28+4=8x

32=8x

X=32/8

X=4

Width =4

Length =3x-2=3x4-2=10