A total of 31 microphones are to be purchased. Each microphone costs $249 estimate the total purchase price by using round numbers

The algebraic expression for Desmond's height is x + 5.

If we let "x" represent Niki's height in inches, then Desmond's height can be represented by "x + 5", since Desmond is 5 inches taller than Niki.

So the algebraic expression for Desmond's height is x + 5.

Algebraic expressions is consist of variables, numbers, and mathematical operations (such as addition, subtraction, multiplication, and division).

They can contain one or more variables and can be evaluated for different values of the variables.

For example, the expression 3x + 5y - 2z is an algebraic expression that contains three variables (x, y, and z) and three coefficients (3, 5, and -2) that are multiplied by those variables. Algebraic expressions are commonly used in algebra to represent mathematical relationships and solve problems.

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the answer is in the photo

Answer:

6 cups

Step-by-step explanation:

Answer:

y= - 1/2 +2

Step-by-step explanation:

One, the slope is negative, so you can cross some answers out right off the bat. Other than that, the answer is not a whole because it's not that steep. If you use RISE/RUN you can tell its a -1/2. Plus, the y-intercept is 2!

i hope this helps!!

Answer:

a.  0°C = \(32^{o}\)F

b.  95°F = \(35^{o}\)

Step-by-step explanation:

a. The temperature of melting point of ice (0°C) in degrees Fahrenheit can be determined as;

OF = (1.8 x °C) + 32

     = (1.8 x 0) + 32

OF = 32

Thus the temperature is \(32^{o}\)F.

b. 95°F in degrees Celsius can be determined by;

°C = ( °F - 32) ÷ 1.8

    = (95 - 32) ÷ 1.8

    = 63 ÷ 1.8

°C  = \(35^{o}\)

Thus the temperature is \(35^{o}\)C.

Answer:

compound and elements

Step-by-step explanation:

a single atom is known as an element

a compound is two elements bonded together.

the given figure shows single atoms as well as two atoms bonded together therefore the figure is showing elements as well as compounds

Answer:

2x + 1

Step-by-step explanation:

\(y = {x}^{2} + x - 1 \\ \\ differentiating \: w.r.t.x \: on \: both \\ sides \\ \\ \frac{dy}{dx} = \frac{d}{dx} ({x}^{2} + x - 1) \\ \\\frac{dy}{dx} = 2x + 1 - 0\\ \\ \frac{dy}{dx} = 2x + 1 \\ \\\)

Answer:

HG = 3

Step-by-step explanation:

HF = HG + GF

11 = HG + 8

11 - 8 = HG

3 = HG

Answer:

HG = 3

Step-by-step explanation:

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According to the information, we can infer that the area of this polygon is 34 units².

To find the area of the figure we must graph it and divide it into different segments. Then we find the area of all the segments and add them to get the total area.

Rectangle 1

6 * 3 = 18

Rectangle 2

2*4=8

Triangle 1

2 * 4 / 2 = 4

Triangle 2

2 * 4 / 2 = 4

Total Area

18 + 8 + 4 + 4 = 34

Based on the above, we can infer that the total area of the polygon is 34 ² units.

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63 square yards of carpeting are needed for the room.

Explanation:

1 yard= 3 feet

given that, length of room = 9 yards = 27 feet and,

width of room = 7 yards = 21 feet.

Given that, to find area or square units, multiply length by width                               Area of the rectangle room = Length × breadth (width)              

                                              = 27 × 21 square feet                                          

                                              = 567 square feet  

1 square foot = \(\frac{1}{9}\) square yard                                                                       So,567 square feet (?) ..square yard                                          

\(\frac{567*1}{9}\) = 63 square yards.                

                                                                                                                    Therefore, 63 square yards of carpeting are needed for the room.

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The latera surface area of the triangular prism is  425 inches².

The isosceles triangular prism is unfolded into the net shown below. Therefore, the lateral surface area of the triangular prism can be found as follows:

The lateral surface area of the triangular prism is the product of the perimeter of the triangle and the height of the prism.

Hence,

lateral surface area of the triangular prism = ph

where,

Therefore,

lateral surface area of the triangular prism = (9 + 9 + 7)17

lateral surface area of the triangular prism = 25 × 17

lateral surface area of the triangular prism = 425 inches²

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Answer:

Step-by-step explanation:

Area and perimeter are both measurements used to describe geometric shapes, but they are fundamentally different concepts and therefore change in different ways.The perimeter of a shape is the distance around the outside of the shape. It is a measure of the total length of the boundaries or sides of the shape. Perimeter depends on the length of each side of the shape, and if one or more sides change in length, the perimeter will change accordingly. For example, if you take a square and double the length of one of its sides, the perimeter will double as well.On the other hand, the area of a shape is the measure of the surface enclosed by the shape. It is a measure of the amount of space inside the shape. The area depends on the length and width of the shape, and if one or both of these dimensions change, the area will change accordingly. For example, if you take a square and double the length of one of its sides, the area will increase by a factor of four.In summary, the perimeter of a shape depends on the length of its sides, while the area of a shape depends on its length and width. Therefore, changes to the length of a side will affect the perimeter, but not necessarily the area, while changes to the length or width will affect the area, but not necessarily the perimeter.

Answer: 148 degrees

Step-by-step explanation:

The total measure of all exterior angles of a convex pentagon is 360 degrees.

If four of them equal 53 degrees then all those together is 212 degrees

53 times 4 = 212

Then you would just subtract 212 from 360 to see the measure of the last exterior angle. Which is 148 degrees!

Hope this helps :)

Answer:

Write down the factors for the numerator and the denominator.

Determine the largest factor that is common between the two.

Divide the numerator and denominator by the greatest common factor.

Write down the reduced fraction.

Step-by-step explanation:

yw boo

Answer:

Write all of the factors of the numerator and the denominator in two separate lists.

Divide the numerator by the largest number to appear in both lists.

Divide the denominator by the same number.

Step-by-step explanation:

Answer:

c, a, d

Step-by-step explanation:

I think?

The least common denominator (LCD) of the fractions 17/24 and 23/30 is 120.

The term "common denominators" refers to denominators that are shared by two or more fractions. The smallest number that unites all of the fractions in a given collection is known as the least common denominator (LCD). The specified fractions must have a common denominator to add, subtract, or compare two or more fractions.

When two or more fractions are supplied, the least common denominator is the one with the smallest common multiple of all the common multiples of the denominators.

In the question, we are asked to find the least common denominator (LCD) for the pair of fractions, 17/24 and 23/30.

The denominators of the two fractions are 24 and 30.

To find the least common denominator, we find the lowest common multiple (LCM) of the denominators.

The prime factorization of 24 is 2*2*2*3.

The prime factorization of 30 is 2*3*5.

Thus, the LCM of 24 and 30 is 2*2*2*3*5 = 120.

Thus, the least common denominator (LCD) of the fractions 17/24 and 23/30 is 120.

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Answer:

604°F

Step-by-step explanation:

hope this helps have a nice day :)

Answer:

6y^3 + 9x^2 + 5

Step-by-step explanation:

Answer:

6y^3 + 9×^2 + 5

Step-by-step explanation:

not sure the answer

Answer:

8i + 5j - 3i - 2j

5i + 3j

I don’t know what i or j are because you didn’t say in your question, but you use the expression above and plug in the numbers to get your answer.

Step-by-step explanation:

Answer:

83 degrees

Step-by-step explanation:

See attachment below:

True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

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An investment of $6,400 to increase to $14,000 if it is invested at 5% per year compounded continuously is ≈15.6

Define compound interest?

Given that :

P = $ 6,400

Q = $ 14,000

r = 5%

Let P be the initial investment

r be the rate of interest

t be the time

Q be the increase amount

Q = P \(e^{rt} }\)

14,000 = 6,400 (\(e^{0.05t}\))

\(e^{0.05t}\) = \(\frac{14000}{6400}\)

\(e^{0.05t}\)  = 2.187

Taking log on both sides , we get

0.05t = ln (2.187)

0.05t = 0.78

       t = \(\frac{0.78}{0.05}\)

       t ≈ 15.6

An investment of $6,400 to increase to $14,000 if it is invested at 5% per year compounded continuously is ≈ 15.6

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Answer:

(1.5, 0.5)

Step-by-step explanation:

(5, 3) and (-2, -2)

5 - 2 / 2 = 1.5

-2 + 3 / 2 = 0.5

Answer:

b . 4/5

60 :15 minute : 4

3 /15 x 4 = 12/15 = 4/5

The inequality given is,

Add 5 to both sides

Hence,

Therefore, Option A is correct and the solution set is

ANSWER

A. $90

B. $590

EXPLANATION

She put $500 in a savings account that earns 3% interest.

A. This is a simple interest question and for simple interest at a rate R and with a principal P (amount of money saved or deposited), after T years, the interest is given as:

So, after 6 years, the interest is:

The interest after 6 years is $90.

B. The amount of money she will have after 6 years is the sum of the interest after 6 years and the amount of money initially deposited.

That is:

A = P + I

A = $(500 + 90)

A = $590

After 6 years, she will have $590 in the account.

The interest for Part 1 is approximately $385.10.

The interest for Part 2 is approximately $709.31.

The formula is as follows:

Interest is calculated as follows: Principal * Rate * Time

Where

Part 1:

$132,000 is the principal.

(Decimal) Rate = 12% = 0.12

Time = 8 days/365 days.

How much interest is there in Part 1?

Interest is calculated as follows : $132,000 * 0.12 * (8/365) = $385.10

Therefore, the interest for Part 1 is approximately $385.10.

Part 2:

$106,750 as the principal

(Decimal) Rate = 12% = 0.12

Time = 20 days / 365 days.

How much interest will there be in Part 2

Interest is calculated as follows : $106,750 * 0.12 * (20/365) = $709.31

Therefore, the interest for Part 2 is approximately $709.31.

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Combining the number of balloons, it is found that she bought 440 balloons.

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

\(\frac{5}{2} \times 40 = \frac{5 \times 40}{2} = \frac{200}{2} = 100\)

100 green balloons.

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Answer:

100 balloons

Step-by-step explanation:

Answer:

(g ° f)(x) = 12x² + 24x + 23

(f ° g)(x) = 36x² + 72x + 49

Step-by-step explanation:

Here we go. Firstly you have to rewrite f ° g into f(g(x)), that should make it clearer. We, then substitute every x in f by g(x). So:

f(g(x)) = 4(g(x))² + 8(g(x)) + 7

= 4(3x+2)²+8(3x+2)+7

= 4(9x²+12x+4) + 24x + 16 + 17

= 36x² + 48x + 16 + 24x + 16 + 17

finally.. you need to regroup like that:

f ° g(x) = 36x² + 72x + 49

The same thing for g ° f(x)

but this time you substitute by f(x) in g(x) instead.