(3x-3) = 48 Find the value of X

Answer:

3

Step-by-step explanation:

3 to the power of 2 is nine because 3 x 3 = 9

9 / 3 is 3

Answer:

3

Step-by-step explanation:

3²÷3¹

=3²-¹

=3¹

=3

or

3²÷3¹

=9÷3

=3

The statement represents the commutative property of Multiplication.

Commutative is derived from "commute," which means to move about or travel. The commutative property of multiplication states that the result is unaffected by the order in which the numbers are multiplied.

According to the commutative property, the result of addition or multiplication remains the same regardless of the sequence in which the numbers are added or multiplied. It should be noted that the commutative feature only applies to addition and multiplication, not to division or subtraction. As an illustration, the sum of 6 + 7 and 7 + 6 equals 13. Like 6 x 7 = 42, so does 7 x 6.

A statement is given as follows:

[tex]2\left(-\frac{3}{9}\right)=\left(-\frac{3}{9}\right) 2[/tex]

Observe that terms are exchanged on the left side and right side of the given equation.

It stands on the definition of the commutative property of Multiplication.

So, the statement represents the commutative property of Multiplication.

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We have the lease of a building is for 10 years with an annual rent of $48 000.

We first determine the 7.5% for the first 5 years, for that we add the cost of the rent for 5 years, that is:

In 5 years the rent will be of $240 000, now we find the 7.5%:

Her commision for the first 5 years is going to be of $18 000.

Now we determine the 5% for the next 3 years, for this we determine the rent for 3 years:

The rent for 3 years adds $144 000, now we determine the 5%:

From this we have that the commission for the next 3 years will be of $7200.

And finally, we determine the rent for the two remaining years:

We have that the last two years the rent will be of $96000, now we determine the 3.5% of her commission during that time:

From this we have her commission for the last two years will be of $3360.

Finally we add all of the values of the commissions she will get:

From this we have that the total commision money she will be getting during those 10 years will be $28 560.

We are asked to find the area of the shaded region.

Notice that the overall figure is a rectangle and the missing area is a triangle.

The area of the rectangle is given by

Where w is the width and l is the length of the rectangle.

width = 7 m

length = 16 m

So, the area of the rectangle is 112 m²

The area of the triangle is given by

Where b is the base and h is the height of the triangle.

base = 7 m

height = 8 m

So, the area of the triangle is 28 m²

The area of the shaded region can be found by subtracting the area of the triangle from the area of the rectangle.

Therefore, the area of the shaded region is 84 m²

The number of guests that can be served is 12

From the question, we have the following parameters that can be used in our computation:

Meat served: 4 lbs chicken with a bone

Pounds of meat available: 48 lbs.

The number of guests needed is calculated using the following equation

Number of guests = Pounds of meat available/Meat served

Substitute the known values in the above equation, so, we have the following representation

Number of guests = 48/4

Evaluate the quotient

Number of guests = 12

Hence, 12 guests can be served with the available meat

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Possible question

Perform the following food service calculation.

Meat served: 4 lbs chicken with a bone

Pounds of meat available: 27 lbs.

How many guests can be served?

Using substitution method of simultaneous linear equation the results are x = -1 and y = 3

What is simultaneous linear equation?

At first it is important to know about linear equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.

Here,

Substitution method of simultaneous linear equation is used

y = -2x + 1

-9x - 2y =3

Putting the value of y in the second equation

-9x - 2(-2x + 1) = 3

-9x +4x -2 = 3

-5x = 3 + 2

-5x = 5

[tex]x = -\frac{5}{5}\\x = -1[/tex]

Putting the value of x in the first equation,

[tex]y = -2 \times -1+1\\y = 3[/tex]

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Using the properties of similar triangles and ratio and proportion we get the vale of x as 2.8 units.

In the given figure the triangle ΔKFG and ΔFJH

KG is parallel to JH

Hence ΔKFG is similar to ΔFJH

Now using the property of similarity and proportion we can say that:

FG/FH = KF/JF

putting the values in the above proportion we get:

7 /(7+x) = 5/ 7

or, 49 = 35 +5 x

or, 14 = 5x

or, x =14/5

or, x = 2.8

The majority of ratio and percentage explanations involve using fractions.

A proportion states that two variables are equal, whereas a ratio is a fraction that is written as a:b. The two ratios given are equal to one another, as demonstrated by the proportional equation.

Hence the value of x is 2.8 units.

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Answer:

what's that bottom number???

Answer:

Answer: 54

Step-by-step explanation:

3x2=6 6x9=54

Step 1:

3x2=6

Step 2:

get the 6 from last step and multiply it by 9

6x9=54 √

Answer: 3 1/8 ÷ 1 2/3 = 15/8. 15/8 as a simplified mixed number is 1 7/8

Step-by-step explanation: 15/8 is at it's simplist form and cannot be divided again that is why you convert it into a mixed number. I hope this helps!

Answer: The family would buy the three pairs of shoes for $26.31 because you have to divide $52.62 in half since they bought half the amount of pairs of shoes that are given in the sale.

Answer:

$26.31

Step-by-step explanation:

3 × [tex]\frac{52.62}{6}[/tex]

3 × [tex]\frac{5262}{600}[/tex]

3 × [tex]\frac{877}{100}[/tex]

[tex]\frac{3 *877}{100}[/tex]

[tex]\frac{2631}{100}[/tex]

= 26.31

Answer:

length:12m width: 6m

Step-by-step explanation:

w=l-6, lw=72. l*l-6=72, l^2-6l=72. l^2-6l-72=0, l=12 or -6, length cant be negative. L=12. W=L-6, w=6.

The value of P(S or T) is 71/110.

What is mutually exclusive event?

If two events cannot happen simultaneously, they are mutually exclusive or discontinuous. The results of a single coin flip, which can result in either heads or tails but not both, serve as an obvious illustration.

As given,

S and T are mutually exclusive events. P(S)= 6/11 , P(T)= 1/10.

By using,

P(S ∪ T) = P(S) + P(T) - P(S ∩ T)

              = 6/11 + 1/10 - P(S ∩ T)

              = 71/110 - P(A ∩ T)

But the events S and T are mutually exclusive events.

therefore,  P(S ∩ T) = 0.

So,

P(S ∪ T) = 71/110

Therefore, value of P(S or T) is 71/110.

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The coordinates of Q(6, -4) under a reflection in the x-axis is Q'(6,4)

The coordinates of x will remain the same for reflection in the X axis, while y will change with the opposite sign.

From the question, we have

The coordinates of Q(6, -4) under a reflection in the x-axis is Q'(6,4).

Reflection:

A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another. The reflected picture should have the same size and shape as the original, but it faces the opposite way. Changes in position during contemplation may also result in translation. Pre-image and image are terms used to refer to the same thing in this context. ABC and A'B'C are used to represent the pre-image and image, respectively. The coordinate system may be referred to by the reflection transformation (X and Y-axis).

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Solution:

Since the sample size is fixed;

And the probability of picking a girl is constant for each trial, the binomial distribution is appropriate;

Thus;

ANSWER: 0.32

The system of equations which are correct are mentioned below:

2 ) [tex]24/2^2= 50- 6^2 - 8[/tex]

and 4 ) 56÷8+3^2= 2⋅2^3

The solution of all the system of equations are given below;

1 ) [tex]8^2 - 5^2= 4^2 - 7[/tex]

LHS = 64 - 25 = 39

RHS = 16 - 7 = 9

Since LHS is not equal to RHS the given equation is not correct.

2) [tex]24/2^2= 50- 6^2 - 8[/tex]

LHS = 24 / 4 = 6

RHS = 50 - 36 - 8 = 6

Since LHS = RHS the above system of equation is correct.

3 ) [tex]39 - 3 X 6=6 X 10/4+4[/tex]

LHS = 39- 18 = 21

RHS = 60 / 8 = 7.5

Since LHS is not equal to RHS the given system of equations is wrong

4 ) 56÷8+3^2= 2⋅2^3

LHS = 12

RHS = 12

Since LHS = RHS the above system of equations is correct.

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Answer:

c. What is your favorite book?

Explanation:

A question is said to be biased when it is asked in such a way that it leads or skews people intentionally to a particular answer.

Looking at the given questions in the options, we can see that three of them have a particular person or thing mentioned in the question. These are examples of biased questions.

But the question, "What is your favorite book?" does not suggest a name of a particular book to the respondent which could influence their responses. This type of question is not biased.

Step-by-step explanation:

When we multiply or divide both sides of an inequality by a negative number, what happens to the inequality symbol?

Answer:

The sign flips.

≤ becomes ≥

and ≥ becomes ≤

yes of course it can surely be

Answer:

Yes, you can factor out common factors to write equivalent algebraic expressions.

[from edge's summary video script]

Answer:

225

Step-by-step explanation:

Answer:

The nth term is 2n^2.

Step-by-step explanation:

We see that each term is twice a square number. So it follows that

[tex]a(n )= 2 {n}^{2} [/tex]

for n = 1, 2, 3,.....

The mean of a data set can be greater than any of the data sets is True.

The average is basically a model of the dataset. The most frequently occurring value. However, the mean value is often not one of the actual values observed in the dataset. The median can be larger or smaller than the mean of the distribution. So the given statement is wrong.

The mean is affected by outliers that do not influence the mean. Therefore, when the average distribution of data is skewed to the left, the mean is often less than the median. When the distribution is skewed to the right, the mean is often greater than the median. No matter what value we add to the set, the mean, median, and mode will shift by that amount but the range and the IQR will remain the same. The same will be true if we subtract an amount from every data point in the set.

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This is a question of Simple Interest. The simple interest is given by the formula:

That is:

Interest = Principal * Rate * Time

From the question, we have:

P = $10

R = 5% ---> 5/100 = 0.05

T = 2 years

Then, we have that the interest is (without units):

Therefore, the interest is $1.

However, Kayla will have in two years this interest plus the starting amount, that is:

$10 + $1 = $11.

Hence, Kayla will have $11 in two years in her savings account.

Answer: D

Step-by-step explanation:

248 = 28x + 20y

x = 3y - 6

x = 28

y = 20

Solution

Total space

Probability

Now for the next thin crust of 2000 pizza

The final answer

The equation of the line that passes through the points (5,2) and (1,4) is given by  [tex]y=-\frac{x}{2} +\frac{9}{2}[/tex].

Let the points  [tex](5,2) = (x_{1} , y_{1} )[/tex] and [tex](1,4) = (x_{2} , y_{2} ).[/tex]

The two-point form of the equation of a line is given by,

[tex]y-y_{1} =\frac{y_{2} -y_{1} }{x_{2}- x_{1} } (x-x_{1} )[/tex]

Substituting the values of [tex]x_{1} , x_{2}, y_{1}[/tex] and [tex]y_{2}[/tex] in the above equation, we get,

[tex]y-2=\frac{4-2 }{1-5 } (x-5 )\\\\ y-2 = \frac{2 }{-4 } (x-5 )\\\\ y-2=-\frac{1}{2} (x-5)\\ \\y-2=-\frac{x}{2} +\frac{5}{2} \\ \\y=-\frac{x}{2} +\frac{5}{2} +2\\ \\y=-\frac{x}{2} +\frac{9}{2}[/tex]

Thus the equation of the line is [tex]y=-\frac{x}{2} +\frac{9}{2}[/tex].

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First, let's graph the complex number:

The trigonometric form will be given by:

The angle θ here is 225° (5π/4), the r-value will be

Now we have the trigonometric representation:

Therefore the correct answer is the letter D.

The sum of both angles must be 180°, therefore:

(2x+24) + (4x+36) = 180°

6x + 60 = 180°

6x = 120°

x = 120/6 = 20°

Then, the smaller angle is 2*20 + 24 = 64

The minimum number of tiles will be 122 that Imane needs to cover the floor.

Multiply the area by the conversion ratio to convert a square foot measurement to a square inch measurement. Because one square foot equals 144 square inches, you may use the following easy formula to convert:

square inches = square feet × 144

The area in square inches is equal to the square feet multiplied by 144.

The floor she wants to cover has an area of 216 square feet.

The required area in square inches is :

216 × 144 = 31,104 sq in

Each tile covers an area of 256 square inches.

The minimum number of tiles = 31,104 sq in / 256 sq in

The minimum number of tiles = 121.5 ≈ 122

Thus, the minimum number of tiles will be 122 that Imane needs to cover the floor.

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16.01 is the greatest number.

Numbers:

In everyday life, we use numbers. They are frequently known as numbers. We are unable to count things, dates, hours, money, etc. without numbers. These numerals are utilised for labelling and measurement purposes at various periods. The characteristics of numbers enable them to be used in arithmetic operations. Both verbal and quantitative representations are used to express these numbers.

Math teaches us about the various kinds of numbers there are. The types of numbers include natural and whole numbers, odd and even, rational and irrational, etc. In addition to this, the numbers are employed in numerous other contexts, including the creation of number series and arithmetic tables.

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Answer:

6i^2-12i

Step-by-step explanation:

3i×2i =6i^2

3i×4 =12i