which expression is equivalent to 18n+72-6n+24?

Answer:

maximum is 81.50

minimum is 68.50

Step-by-step explanation:

1m-751=6.50

m-75=6.50

m=81.50

/m-75=-6.5

m=68.50

The maximum and minimum amounts that Victor might have made last month are $81.5 and $68.5, respectively.

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

Given that Victor has a goal of making $75 per week at his after-school job. and Last month he was within $6.50 of his goal. Therefore, the maximum and minimum amounts that Victor might have made last month are,

Maximum and minimum amount = $75 ± $6.50

                                                      = $75+$6.50 , $75-$6.50

                                                      = $81.5 , $68.5

Hence, the maximum and minimum amounts that Victor might have made last month are $81.5 and $68.5, respectively.

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Answer:

y= 0.5

Step-by-step explanation:

right on edg

Answer: 0.5

Step-by-step explanation: edge

Answer:

We can simplify the expression as follows:

4^3 * 4^4 / 4^9

First, we can simplify the terms in the numerator by adding the exponents of 4:

4^3 * 4^4 = 4^(3+4) = 4^7

Now, we can substitute this value in the expression:

4^7 / 4^9

To divide powers with the same base, we can subtract their exponents:

4^(7-9) = 4^(-2)

Therefore, the simplified expression is:

4^3 * 4^4 / 4^9 = 4^(-2)

So, the final answer is 1/16 or 0.0625.

A document that is kept on record at the bank in order to identify you as the owner of your checking account include the following: C. signature card.

In Economics, a checking account is sometimes referred to as a current account or transaction account and it can be defined as a type of bank account at a financial institution, that allows an accountholder to easily deposit and withdraw his or her money for daily activities.

This ultimately implies that, the use of a debit card is one of the ways through which money in a checking account can be accessed because it allows for deposits and withdrawals of cash at any given time.

In conclusion, a signature card is used by banks to determine the identity and ownership of a checking account (accountholder).

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The document that is kept on record at the bank for identification of the owner of a checking account is a signature card. The correct option is option C.

A checking account is an operational account which allows;

The deposit and withdrawal of funds when required

A checking account holder is offered a debit card and or a set of cheques, which are then used to withdraw cash or make purchases.

Some of the details that are required to open a checking account are entered into a signature card by new customers.

A signature card includes the personal information of the owner of an account, including;

The signature of the person

The account holders name

The address of the account holder

The account holder identification number

The signature card is a document that is signed when opening a checking account, which the bank use to make references with regards to the account holders transactions.

With the signature card in the record of the bank, the bank can be able to identify a checking account holder's transactions such as issuing of cheque to third party, and also when the account holder makes requests for other banking services.

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first off, let's take a peek at the picture above

hmmm the hyperbola is opening sideways, that means it has a horizontal traverse axis, it also means that the positive fraction will be the one with the "x" variable in it.

now, the length of the horizontal traverse axis is 4 units, from vertex to vertex, that means the "a" component of the hyperbola is half that or 2 units, and 2² = 4, with a center at the origin.

\(\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(x- 0)^2}{ 2^2}-\cfrac{(y- 0)^2}{ (\sqrt{3})^2}=1\implies {\Large \begin{array}{llll} \cfrac{x^2}{4}-\cfrac{y^2}{3}=1 \end{array}}\)

Answer: $511,667

Step-by-step explanation: .

Answer:

Step-by-step explanation:

D and F are alternate exterior angles

A , D , F ,  G are exterior angles. In this that are on the opposite sides are alternate exterior angles.

Alternate exterior angles:

1) D and F

2) A and G

The value of the radical √48 is 4√3.

Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.

Here, we are given the radical √48

To find the value of the radical, we will factorize 48

i.e., 48 = 2×2×2×2×3

           = 16×3

Now, the square root of 48, that is, √48

                                                       = \(\sqrt{16\cdot3}\) =\(\sqrt{16} \cdot \sqrt{3}\)

We know 16 is a perfect square of 4, that is, the square root of 16= 4

⇒√16=4

Using this, we have √48= 4√3

The correct answer is 4√3.

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Answer:

49

Step-by-step explanation:

7² is equal to 7(7) = 49

The average is 40 and  the margin of error is 10.95.

What is margin of error?

The margin of error is a statistic expressing the amount of random sampling in the result of a survey.

Average (A) = sum of all the value/ given set.

A = (51+ 41 + 28)/3 = 40

margin of error = 100/square root of 120 = 10.95.

Therefore, the average is 40 and  the margin of error is 10.95.

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An 544.5

Step-by-step explanation:

Parallelogram have two pairs of opposite sides that are parallel and congruent.

In a parallelogram, two pairs of opposite sides are parallel and congruent. A parallelogram is a quadrilateral with opposite sides that are parallel and congruent. Therefore, any pair of opposite sides in a parallelogram satisfies the criteria of being both parallel and congruent.

For example, let's consider a parallelogram ABCD:

These two pairs of opposite sides, AB and CD, and AD and BC, are parallel (they never intersect) and congruent (they have the same length).

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Answer:

12 cups

Step-by-step explanation:

The ratio he uses is

2 parts strong coffee

3 parts milk

Let's say he makes a recipe exactly like the amounts of the ratio.

2 cups strong coffee

3 cups milk

Total: 2 cups + 3 cups = 5 cups

He wants to make 30 cups, so 5 cups is not enough.

Let's double the amounts of the recipe keeping the same ratio of 2 to 3.

2 × 2 = 4 cups strong coffee

3 × 2 = 6 cups milk

Total: 4 cups + 6 cups = 10 cups

He wants to make 30 cups, so 10 cups is not enough.

We can keep on going up by multiplying the numbers in the ratio by larger numbers, but there is a quicker way.

We need to multiply both numbers in the ratio by a number, let's call it x, so that when both numbers in the ratio are multiplled by x, and the ingredients are added, we end up with 30 cups.

Multiply both numbers in the ratio by x.

2x cups of strong coffee

3x cups of milk

Now add: the total amount will be 5x cups

We want 30 cups, so

5x = 30

Solve for x.

x = 30/5 = 6

x, the multiplier we need is 6.

2x cups strong coffee = 2(6) cups = 12 cups

3x cups milk = 3(6) cups = 18 cups

Answer: 12 cups

Answer:

2) 47 snow globes (51+8-12) 23) 130 snowballs (46+59+25) 4) 92 penguins (83+69-55)

Therefore, the balance after 3 years of continuous compounding at an annual interest rate of 3.1% is approximately $2,701.85.

Percent is a way of expressing a number as a fraction of 100. The word "percent" means "per hundred," so when we say something is, for example, 25%, we mean it is 25 out of 100, or 0.25 as a decimal. Percentages are often used to express ratios or proportions, such as in statistics, finance, and everyday life. Some common examples include: Interest rates: A bank might advertise a 5% annual interest rate on a savings account, which means that the account balance will increase by 5% (or 0.05) each year. Discounts: A store might offer a 20% discount on a product, which means that the price will be reduced by 20% (or 0.20) of the original price. Grades: A student might receive a grade of 85% on a test, which means that they answered 85 out of 100 questions correctly. Percentages can be converted to decimals or fractions, and vice versa, using simple arithmetic operations. For example, to convert a percentage to a decimal, divide by 100. To convert a decimal to a percentage, multiply by 100 and add a percent sign (%).

Here,

The formula for continuous compounding is:

\(A = Pe^{rt}\)

where A is the ending balance, P is the principal amount, r is the annual interest rate (as a decimal), t is the time in years, and e is the mathematical constant approximately equal to 2.71828.

Plugging in the given values, we get:

A = 2340 * \(e^{0.031*3}\)

Simplifying the exponent, we get:

A = 2340 * \(e^{0.093}\)

Using a calculator, we get:

A ≈ $2,701.85

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Answer:

\(\sqrt[5]{27}\)

Step-by-step explanation:

a¹/ᵇ = \(\sqrt[b]{a}\)

Radical expression of 27 ⅕ is

Answer:

A, .54

Step-by-step explanation:

The number line ranges from .542 up until .611, giving you three options below. For .6, it can be translated into .600 which is in bounds of the number line. Next for .604, it is still in bounds of the number line. For .54 it would be translated to .540 which is not in bounds, being before .542.

Hey there!

I believe your answer should be: OPTION B. because

7x + 2y - 14z = 56

7(8) + 2(28) - 14(4) = 56

56 + 56 - 56 = 56

112 - 56 = 56

56 = 56

So, that’s why possibly Option B. could be your result

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

20%

Step-by-step explanation:

18-15/15 x 100

3/15 × 100 = 20%

The number of strides the runner will make during 1 hour run will be =

10,800.

To calculate the distance or number of strides made by the runner in an

hour, the graph given above is considered as follows;

The y-axis which represents the number of strides is plotted against the x-axis which is the number of hours.

From the graph

20 minutes= 3600 strides

60 minutes = X strides

make X the subject of formula;

x= 3600×60/20

= 216000/20

= 10,800

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The sum of the inverse cosine and the inverse sine of the same ratio is; Choice B; 90°.

The sine and inverse sine functions can help find the missing angle in a right triangle; Choice C; both is correct.

Recall that; if angles A and B are complementary angles; i.e A + B = 90; then

sin A = cos B = x

On this note since sin A = x and cos B = x;

sin-¹ x = A and cos-¹ x = B

On this note, the sum of sin-¹ x and cos-¹ x = A + B = 90°.

Hence, Choice B is correct.

2. It follows from triangle geometry that the measure of acute angles of a right triangle can be determined by trigonometric ratios.

Hence, both sin and sin-¹ would allow one to find the missing angle in a right triangle. Hence, Choice C is correct.

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Answer:

 0

Explanation:

Given expression:

\(\sf 6 - (1 \times 4) -2\)

Use BODMAS method:

brackets, order, division, multiplication, addition, subtraction

First simplify variables inside brackets

\(\sf 6 - (4) -2\)

Then simply use subtract integers

\(\sf 0\)

\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

Let's get it done using Bodmas Rule ~

\(\qquad \sf  \dashrightarrow \: 6 - (1 \times 4) - 2\)

\(\qquad \sf  \dashrightarrow \: 6 - (4) - 2\)

\(\qquad \sf  \dashrightarrow \: 6 - ( 4 + 2)\)

\(\qquad \sf  \dashrightarrow \: 6 - 6\)

\(\qquad \sf  \dashrightarrow \: 0\)

We will get the end result 0, on simplification ~

Answer:

x = 60

Step-by-step explanation:

The 60° angle and angle x both have 2 marks, so they are congruent.

x = 60

An equation that will produce the graph shown above include the following: D. 5x² + 5y² = 80.

In Mathematics and Geometry, the standard form of the equation of a circle is represented by the following mathematical equation;

(x - h)² + (y - k)² = r²

Where:

Based on the information provided above, we have the following parameters:

Radius, r = √16 = √80/5

Center, (h, k) = (0, 0).

By substituting the given parameters into the equation of a circle formula, we have the following;

(x - h)² + (y - k)² = r²

(x - 0)² + (y - 0)² = (√80/5)²

5x² + 5y² = 80.

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Answer:

p=8

Step-by-step explanation:

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Step-by-step explanation:

Answer:

36,960 feet

Step-by-step explanation:

5280×7=36,960

Answer:

D: 36,960 feet

Step-by-step explanation:

Edge results