Explain how to find the value of y in the equation 6(y+4)=12

Answer:

-7 =D

Step-by-step explanation:

Step-by-step explanation:

x2^+8x=-20

9x^2=20

x^2=20-9

x^2=11

√x^2=√11

x=√11

Applying the definition of a perpendicular bisector, the length of segment PS is 12 units.

The perpendicular bisector can be described as a line segment that bisects another line segment into two equal halves, while at the point of bisection, the angle formed are right angles.

Since NP is a perpendicular bisector of RS, it divides RS into two equal halves, RP = PS.

RP = 12 units, therefore, PS = 12 units.

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Answer:

12 units

Step-by-step explanation:

The percentage of the students who wore a silly hat is 64 %.

The percentage is defined as a ratio expressed as a fraction of 100.

We have been given that Last Tuesday was a silly hat day at Aaron's school. 64 students wore a silly hats and 36 students did not.

We have to determine the percentage of the students who wore a silly hat

The total number of students = 64 students wore silly hats and 36 students did not.

The total number of students = 64 + 36 = 100

We have to determine the percentage of the students who wore a silly hat

The percentage of the students wore a silly hat = (64/ 100) × 100

The percentage of the students wore a silly hat = 0.64 × 100

The percentage of the students wore a silly hat = 64 %

Thus, the percentage of students who wore silly hats is 64 %.

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The average speed of the family during their walk  over a time period of 1.35 hours is 1.407 km/hr

Let us say that the distance covered by the family is x

so , according to the formula of average speed

Average speed = total distance covered/total time taken

Hence,

average speed = \(\frac{0.75+1.15}{1.35} km/hr\)

                          = \(\frac{1.9}{1.35} km/hr\)

                          = 1.407 km/hr

therefore, the average speed of the family is 1.407 km/hr

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Microsoft Access is NOT a relational database .

A relational database is a database that uses the relational model of data, which was first put forth by E. F. Codd in 1970. [1] A relational database management system is a program used to maintain relational databases (RDBMS). Many relational database systems offer the ability of querying and modifying the database using SQL (Structured Query Language).

An individual key identifies each row in a relational model, which groups data into one or more tables (or "relations") containing columns and rows. Records or tuples are other names for rows. [12] Attributes are another name for columns.

Each table or relation typically represents one "entity type" (such as customer or product). The columns indicate values associated with that instance, while the rows are instances of that sort of entity (such as "Lee" or "chair") (such as address or price).

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Complete question :

You can spend up to $35 on a shopping trip.

a. You want to buy a shirt that costs $14. Write and solve an inequality that represents the amount of money you will have left if you buy the shirt.

b. You notice that the shirt is on sale for %30 off. How does this change the inequality?

c. Do you have enough money to buy the shirt that is on sale and a pair of pants that cost $23? Explain.

Answer:

x ≤ 21

x ≤ 25.2

Yes

Step-by-step explanation:

Cost of shirt = $14

Total Amount to spend ≤ $35

After shirt purchase :

Let amount left = x

x + 14 ≤ 35

x ≤ 35 - 14

x ≤ $21

B.) discount on shirt sale = 30%

(100% - 30%) of $14 = 0.7 * $14 = $9.8

x ≤ 35 - 9.8

x ≤ 25.2

C.)

Cost of Jean = 23

25.2 > 23

Hence, there is enough money

False , the variance and standard deviation are not measures of central location

Given data ,

The variance and standard deviation are not measures of central location but measures of dispersion or spread of a dataset

Measures of central location include the mean, median, and mode, which represent the typical or central value of a dataset

The variance and standard deviation are measures of dispersion or spread in a dataset. They provide information about how the values in a dataset are spread out around the mean.

In order to understand the variability or dispersion of data points within a dataset, one must take into account both the variance and standard deviation. They provide information on the range of values and aid in calculating how far away from the mean certain data points are. In statistics and data analysis, these metrics are frequently used to comprehend and evaluate the variance of various datasets.

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Answer:

I think seventeen months

Answer:

C) \(122+154i\)

Step-by-step explanation:

\((14-2i)(7+12i)\\\\(14)(7)+(14)(12i)+(-2i)(7)+(-2i)(12i)\\\\98+168i-14i-24i^2\\\\98+154i-24(-1)\\\\98+154i+24\\\\122+154i\)

Therefore, C is correct. Recall that \(i^2=-1\)

The result of the complex expression is 122 + 154i.

The correct option is D .

Given, complex expression (14 - 2i)(7 + 12i) .

Complex number pair : a ± ib

i = iota(imaginary)

a = real part

b = imaginary part

Here expression \((14 - 2i)(7 + 12i)\)

Open the brackets by multiplying,

Here,

\(i = \sqrt{-1}\\ i^2 = -1\)

Simplifying the complex expression.

\((14 - 2i)(7 + 12i)\\= 98 + 168i - 14i +24\\= 122 + 154i\)

Therefore the correct option is D.

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Answer:

5 and 7

Step-by-step explanation:

The sum is even aka 12, however, both of the integers are not even.

The solution to the equation -58x - 26 = 8x - 230.6 is x = 3.1.

Given the equation in the question:

-58x - 26 = 8x - 230.6

To solve the equation -58x - 26 = 8x - 230.6, rearrange the terms to isolate the variable x.

Subtract 8x from both sides:

-58x - 8x - 26 = 8x - 8x - 230.6

Add 26 to both sides:

-58x - 8x - 26 + 26 = 8x - 8x - 230.6 + 26

Combine like terms:

-66x - 26 + 26 = -230.6 + 26

-66x = -230.6 + 26

-66x = -204.6

To solve for x, we divide both sides of the equation by -66:

-66x / -66= -204.6 / -66

x = -204.6 / -66

x = 3.1

Therefore, the value of x is 3.1.

Option C) 3.1 is the correct answer.

The question is:

Solve the equation, then check your solution.

Negative 58 x minus 26 = 8 x minus 230.6

-58x - 26 = 8x - 230.6

a. 3.17,  b. 3.3, c. 3.1

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Answer:

Solve for b: b = 6 - a

Solve for a:  a = 6 - b

Step-by-step explanation:

There are two ways we can solve this, solve for a and solve for b.

Lets solve for b first

\(4-b=2-a\)

Add 4 on both sides

\(b=2-a+4\)

Simplify

\(b=6-a\)

Now lets solve for a

\(4-b=2-a\)

Flip the equation

\(2-a=4-b\)

Add 2 on both sides

\(a=4-b+2\)

Simplify

\(a=6-b\)

Answer:

D

Step-by-step explanation:

x/(-6)+y/(-7)=1

7x+6y=-42

7x+6y+42=0

y=(-7/6)x-7

Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

The set of algebra tiles represents the polynomial expression 3x + x^3.

To determine the expression represented by the given set of algebra tiles, we need to understand the values assigned to each tile. In this case, the tiles provided are:

1 1 1 111 1 1 1

From this arrangement, we can interpret the tiles as follows:

1 = x

111 = x^3

Thus, the set of algebra tiles can be translated into the following polynomial expression:

x + x + x + x^3 + x + x + x

Simplifying this expression, we can combine like terms:

3x + x^3

Therefore, the set of algebra tiles represents the polynomial expression 3x + x^3.

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Answer:

b can I have

Step-by-step explanation:

The required cost of the meal given as a hot dog is of $6 and the hamburger is of $8.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Let's call the cost of a hot dog meal "x" and the cost of a hamburger meal "y".

From Mrs. Hammond's purchase, we know that:

x + 3y = 30   -- - - - - -(1)

From Mr. Weber's purchase, we know that:

3x + 3y = 42 - - - - - -(2)

We can use substitution to solve for one of the variables in terms of the other. If we substitute the first equation into the second equation:

3x + 3y = 42

3x + 3(30 - x)/3 = 42

3x + 30 - x = 42

2x = 12
x = 6

now,
6 + 3y = 30
3y = 24
y = 8

Thus, the required cost of the meal given as a hot dog is of $6 and a hamburger is $8.

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The required white effective interest rate is 0.71% more than his nominal interest rate.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here,

White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent

So

Difference in interest = 14.33%-13.62%
                                    =0.71%

Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.

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Answer:

A)24 in^3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

2x2=4

4x6=24

Answer:

-21

you "forget" the negative symbol and add like normal, then put the negative symbol in front of your answer

Answer:

12x-6x-2

Step-by-step explanation:

8/4=2

12-6=6

6x-2

Answer:

here is the answer y = 15× - 80

The given table represents the total number of hours Luis practiced playing the traditional Spanish guitar over a span of three days. The incomplete statements are to be completed based on the information provided in the table.

Based on the table, we can complete the statements as follows:

1) Luis practiced 1.5 hours on day 1.

2) Luis practiced 3.0 hours on day 2.

3) Luis practiced 4.5 hours on day 3.

By analyzing the table, we can determine the practice time for each day. On day 1, Luis practiced for 1.5 hours. On day 2, he practiced for 3.0 hours. Finally, on day 3, he practiced for 4.5 hours. These values correspond to the given practice times in the table.

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Answer:

If you look back at the formula, you'll see that n – 2 gives the number of triangles in the polygon, and that number is multiplied by 180, the sum of the measures of all the interior angles in a triangle. Do you see where the "n – 2" comes from? It gives us the number of triangles in the polygon.

Have a nice day   :)

If 100 students participate in the fundraiser, each student needs to raise $137.50.If 25 students participate in the fundraiser, each student needs to raise amount $550.

Amount = (Total Amount Needed) ÷ (Number of Students)

For 60 students:

Amount = $275 ÷ 60 = $4.58

For 75 students:

Amount = $275 ÷ 75 = $3.67

For 40 students:

Amount = $275 ÷ 40 = $6.88

To solve this problem, we need to use a simple equation: Amount = (Total Amount Needed) ÷ (Number of Students). We can then plug in the given information to calculate the amount each student needs to raise. For example, if 50 students participate in the fundraiser, we can calculate that each student needs to raise $275 ÷ 50 = $5.50. We can then use this equation to calculate the amount that each student needs to raise if there are different numbers of students participating in the fundraiser. For example, if there are 100 students participating in the fundraiser, each student needs to raise $275 ÷ 100 = $2.75. Similarly, if there are 25 students participating in the fundraiser, each student needs to raise $275 ÷ 25 = $11.00.

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To solve the equation in part a and determine the mystery weight, we used the following properties of equality:

Addition property: This property states that if we add the same number to both sides of an equation, the equality is preserved. In this case, we added 23 grams to both sides of the equation to isolate the variable.

Subtraction property: This property states that if we subtract the same number from both sides of an equation, the equality is preserved. In this case, we subtracted 8 grams from both sides of the equation to isolate the variable.

Multiplication property: This property states that if we multiply both sides of an equation by the same number, the equality is preserved. In this case, we multiplied both sides of the equation by 3 to isolate the variable.

Division property: This property states that if we divide both sides of an equation by the same number (excluding 0), the equality is preserved. In this case, we divided both sides of the equation by 2 to isolate the variable.

By using these properties of equality, we were able to manipulate the equation and isolate the variable to determine the mystery weight.

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The graph shows the  inequality x² ≤ 16

An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g. 2x > 4.

Inequalities are often used to describe conditions or constraints in real-world problems.

You will notice that the values represented in the graph ranges from -4 to 4. Thus, solving x² ≤ 16 will produce these values. That is:

x² ≤ 16

x ≤ ±√16

x ≤ ±4

x ≤ -4 or x ≤ 4

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Answer:

There are 20 customers all together.

Step-by-step explanation:

Let x = the total number of customers.

12% of what number is 24.  12% as a decimal is .12

.12x = 24  Divide both sides by .12

\(\frac{.12x}{.12}\) = \(\frac{24}{.12}\)

x = 200

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