Is 2 a solution of 4x + 12 = 4? Complete the statement. ). The equation is ? when r = 2. so 2 ? a solution ​

Answer: D

Explained: you find the solutions to x and the y axis to graph

There are 28 ways to choose 6 teams for the playoffs if there are 8 college basketball teams in a certain sub-division.

To determine the number of ways to choose 6 teams for the playoffs out of the 8 college basketball teams in a certain Sub-Division, we can use the combination formula. The formula for combinations is given by

nCr = n! / (r! * (n-r)!),

where n represents the total number of teams and r represents the number of teams to be chosen.

In this case, n = 8 and r = 6.

Plugging in these values, we have

8C6 = 8! / (6! * (8-6)!) = 8! / (6! * 2!) = (8 * 7) / (2 * 1) = 28.

Therefore, there are total 28 ways to choose 6 teams.

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The volume of the square pyramid will be 108 cm³.

What is volume of square pyramids?  

A square pyramid's volume is the space contained between its five sides. The volume of a square pyramid = one-third of the product of the base area and the height of  pyramid. As a result, volume = (1/3) (Base Area) (Height). The volume of a square pyramid is expressed in "cubic units" as the number of unit cubes that can fit inside it. It is commonly stated as m3, cm3, in3, and so forth.

A square pyramid is a five-sided three-dimensional shape. A square pyramid is a polyhedron (pentahedron) made out of a square base and four triangles joined at the vertex. It has a square base and triangular side faces with a shared vertex.

Now,

As given that

side of square=9 cm and height of pyramid= 4cm

then volume of pyramid=1/3*area of square*height of pyramid

=1/3*9*9*4

=3*9*4

=108 cm³

Hence,

         The volume of the square pyramid will be 108 cm³.

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Answer:

The sum of the exterior angles of a decagon is 360°

The sum of the exterior angles in an any polygon = 360°

Alternate method:

Each exterior angle in a polygon : 360 ÷ number of sides

Here, decagon has 10 sides.

Then, each exterior angle: 360 ÷ 10 = 36°

Then all 10 sides together has : 36° x 10 = 360°

Step-by-step explanation:

The Dollar Price of the bond $4813.26

The bond's present value (PV) represents the estimated future cash payments that will result from the bond. The value is equal to the sum of the discounted present values of the interest payments and the redemption value (RV).

Bond value equals PV of interest plus PV of RV

The Local School District's bond amount can be calculated as follows:

PV of interest payments

Semi annual interest payment:

= 2.9% × 5000× 1/2= 72.5

Semi-annual yield = 2.7/2 = 1.65%

Total period to maturity = (2 × 16) = 32 periods

PV of interest payment:

=72.5× (1- (1+0.016)^(-32)/0.016)

= 1804.66

PV of Redemption Value

= 5000× (1.016)^(-32)

= 3008.6

Price of bond

=1804.66 + 3008.6

=$4813.26

Therefore, The dollar Price of the bond is $4813.26

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Therefore, based on the information provided, the perpendicular distance from the x-axis to the center of Shape B, or the distance from the origin along the y-axis to the center of Shape B, is 1.5 units.

To determine the perpendicular distance from the x-axis to the center of Shape B or the distance from the origin along the y-axis to the center of Shape B, we need to consider the properties of Shape B.

In this context, when we say "center," we are referring to the midpoint or the central point of Shape B along the y-axis.

The given answer of 1.5 units suggests that the center of Shape B lies 1.5 units above the x-axis or below the origin along the y-axis.

The distance is measured perpendicular to the x-axis or parallel to the y-axis, as we are interested in the vertical distance from the x-axis to the center of Shape B.

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The least number of seats the manger could order to 270 seats

The information that the the seats are sold only in groups of 10 will help to know that the order will be in a multiple of 10.

The manager wants to order 267 seats and this is not a multiple of 10 the nearest multiple of 10 is 270.

This is because, 260 will be short of want the manager want however ordering for 270 will be in excess with three seats.

Hence the manager will order 270 and heave 3 extra seats

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Answer: A

Step-by-step explanation: Divide your miles by hour hours:

12.25/2.5 = 4.9

Her average speed was 4.9 miles per hour

Using a linear function, the total charge from parking in the lot for 72 hours is of:

b. $146.

A linear function is modeled by:

y = mx + b

In which:

Both the basic fee, which is the y-intercept, and the hourly fee, which is the slope, are of $2, hence the cost of parking x hours is given by:

C(x) = 2x + 2

Hence the cost for parking 72 hours is:

C(72) = 2 x 72 + 2 = 2 x 73 = $146.

Which means that option b is correct.

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Answer:

Step-by-step explanation:

Find the unit rate of the data in the table:

The equation is:

Compare this with the others:

Find. rate

Only first one and 4the one have lower unit rate

Answer: I’m not sure if I’m correct but I’m pretty sure it’s C

Answer:

Step-by-step explanation:

The absolute value, as "distance from zero", is used to define the absolute difference between arbitrary real numbers, the standard metric on the real numbers. Complex numbers [ edit ] The absolute value of a complex number z {displaystyle z} is the distance r {displaystyle r} of z {displaystyle z} from the origin.

Answer:

absolute number

Step-by-step explanation:

Using the box-whisker plot approach, it is computed that 50% of the data values are more than 45.

In a box-whisker plot, as seen in the illustration, The minimum, first quartile, median, third quartile, and maximum quartiles are shown by a rectangular box with two lines and a vertical mark. In descriptive statistics, it is employed.

Given the foregoing, the box-whisker plot depicts a specific collection of data. A vertical line next to the number 45 shows that it is the 50th percentile in this instance and that 45 is the median of the data.

It indicates that 50% of the values are higher than 45 and 50% of the values are higher than 45.

Using this technique, we can easily determine the proportion of data for which the value is higher or lower. Data analysis and result interpretation are aided by it. Therefore, 50% of values exceed 45.

Note: The correct question would be as

The box-and-whisker plot below represents some data sets. What percentage of the data values are greater than 45?

0

H

10

20

30 40

50 60

70 80 90 100

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Answer:

FALSE

Step-by-step explanation:

120 divided by two equals a number less than 100.

Answer:

False

Step-by-step explanation:

If you drive at 120 in 2 hours, you can Divide by 2 to see what you get for 1 hour which would be 60

Answer:

BD = 3 units

Step-by-step explanation:

Since, AD is an angle bisector of ∠BAC,

m∠BAD = m∠CAD = 20°

CD = 3 units

In ΔACD and ΔABD,

m∠BAD = m∠CAD = 20° (Given)

AD ≅ AD [Reflexive property]

Therefore, by H-A property of congruence both the triangles will be congruent.

And by CPCTC,

CD ≅ BD = 3 units

Answer:

A

Step-by-step explanation:

using the rule of radicals

\(\sqrt{ab}\) = \(\sqrt{a}\) × \(\sqrt{b}\)

note that 0.231 × 100 = 23.1

given

\(\sqrt{23.1}\)

= \(\sqrt{100(0.231)}\)

= \(\sqrt{100}\) × \(\sqrt{0.231}\)

= 10 × k

= 10k

The value of √23.1 using the value √0.231 = k is 10k.

Thus, option (A) is correct.

Let's first find the value of "k" when √0.231 = k:

√0.231 = k

Now, the value of √23.1 using the value of "k":

√23.1 = √(10 × 2.31)

As √2.31 = k, substitute it in:

√23.1 = √(10 × 2.31)

         = √10 × √2.31

         = 3.162 × √2.31

Also, √2.31 = 1.52

So, the required value

√23.1 = 3.162 × 1.52

          = 4.807

let's check the given options to find the closest value to 4.807:

A. 10k = 10 × √0.231 = 4.807.

B. 0.1k = 0.1 × √0.231  = 0.04806

C. 100k = 100 × √0.231 = 48.06  

D. 20k = 20 × √0.231 = 9.6124

Therefore, The value of √23.1 is 10k.

Thus, option (A) is correct.

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Answer:

4w + 9

Step-by-step explanation:

Area of rectangle = length x width (or base x height, depending on how you look at it).

It is given to you that:

Area = 8w + 18

Length = 2

Let: width = x

Plug in the corresponding terms with the corresponding words:

8w + 18 = 2x

Isolate the variable, x. Divide 2 from both sides of the equation:

(8w + 18)/2 = (2x)/2

x = (8w + 18)/2

w = (8w)/2 + (18)/2

w = 4w + 9

4w + 9 is the expression that represents the width of the rectangle.

~

Answer: 29%

Step-by-step explanation:

To find the percent of decrease, you need to first calculate the difference between the original cost and the current cost of the TV. You can do this by subtracting the current cost from the original cost: $700 - $500 = $200.

Next, divide the difference by the original cost and multiply by 100% to express the result as a percentage: ($200 / $700) * 100% = 28.57%.

Rounding this result to the nearest whole percent, we get that the percent of decrease is 29%.

Rounded to the nearest whole percent, the answer is 29%.

Answer:

120 in 2 days

Step-by-step explanation:

Juan read 300 pages in 5 days. which reading rate is equivalent?

Juan reads 300/5 = 60 pages a day.

A. 150 in 3 days 150/3 = 50 pages a day

B. 120 in 2 days 120/2 = 60 pages a day

C. 105 in 1 day 105/1 = 105 pages a day

D. 100 in 3 days 100/3 = 33.33 pages a day

Answer:

B) 2(y-3)=7+2y-3

Step-by-step explanation:

2(3y-1)=7-6y-2

6y-2=7-6y-2

6y-(-6y)-2=7-2

6y+6y-2=5

12y-2=5

12y=5+2

12y=7

y=7/12

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

2(y-3)=7+2y-3

2y-6=2y+4

2y-2y-6=4

0-6=4

-6=4

no solution

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

2(3-2y)=7+4y-2

6-4y=4y+5

6-4y-4y=5

6-8y=5

8y=6-5

8y=1

y=1/8

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

2(3y-2)=7-6y-2

6y-4=5-6y

6y-(-6y)-4=5

6y+6y=5+4

12y=9

y=9/12=3/4

Answer:

tangent

Step-by-step explanation:

hello

Step-by-step explanation:

paano nga Ito???

Answer:

y = -3x + 12.96

y = \(\frac{-4}{3}\) x + 11.31

Step-by-step explanation:

6x + 2y = 25.92  Subtract 6x from both sides

2y = -6x + 25.92  Divide all the way through by 2

y = -3x + 12.96

4x + 3y = 33.93  Subtract 4x from both sides

3y = -4x + 33.93  Divide all the way through by 3

y = \(\frac{-4}{3}\) x + 11.31

The probability that a point chosen randomly inside the rectangle is in the triangle is 1/3, or approximately 0.33 to the nearest hundredth.

The probability that a point chosen randomly inside the rectangle is in the triangle is equal to the area of the triangle divided by the area of the rectangle.

To find the area of the triangle, we need to first find its base and height. The base of the triangle is the length of the rectangle, which is 8 units. To find the height, we need to draw a perpendicular line from the top of the rectangle to the base of the triangle. This line has a length of 4 units. Therefore, the area of the triangle is (1/2) x base x height = (1/2) x 8 x 4 = 16 square units.

The area of the rectangle is simply the length times the width, which is 8 x 6 = 48 square units.

Therefore, the probability that a point chosen randomly inside the rectangle is in the triangle is 16/48, which simplifies to 1/3.


In conclusion, the probability that a point chosen randomly inside the rectangle is in the triangle is 1/3, or approximately 0.33 to the nearest hundredth.

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Since, Alice ate 5 cookies and 2 carrots for a total of 590 calories; bob ate 3 cookies and 4 carrots for a total of 410 calories. Therefore, In a cookie there are 110 calories.

A calorie is a unit of energy that food and drink provide. we can usually find out how many calories are listed in foods, and wearables like the best fitness trackers let you monitor how many calories you're burning in different activities. Certain foods, such as processed foods, tend to be high in calories. Other foods, such as fresh fruits and vegetables, tend to be low in calories. there is not. Calories are needed to give you enough energy to move, keep warm, grow, work, think, and play. Our circulation and digestion also need to work well with the energy we get from calories.

Let x = calories in cookies.

     y = calories in carrots.

Now, according to the question:

     5x + 2y = 590                   --------------------------------------- (1)

     3x + 4y = 410                    -------------------------------------- (2)

Multiplying equation(1) by 3 and equation(2) by 5:

         15x + 6y = 1770                       ---------------------------(3)

         15x + 20y = 2050                   ---------------------------(4)

Solving we get:

    y = 280/14

or, y = 20 units.

Putting the value of y = 20 in equation (2)

    3x + 4y = 410

⇒  3x + 4 × 20 = 410

⇒ 3x = 410 - 80

⇒ x = 330/3

⇒ x = 110 Units

Therefore, the calories of cookies is 110 units .

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Algebraic expression of 13 times the cost of one ticket is 13x.

Any combination of terms that have undergone operations like addition, subtraction, multiplication, division, etc. is known as an algebraic expression (or variable expression). Let's use the equation 5x + 7 as an example. Thus, 5x + 7 is an illustration of an algebraic expression. The variables in the algebraic expressions, which have numerous multiples, are used to depict a real-world event. It is easier to express 3x+4y, where x and y represent the costs of each pen and pencil individually, rather than "The cost of 3 pens and 4 pencils." Calculations can be made easier by writing a real-world circumstance as an expression.

Given

Algebraic expression

13 times the cost of one ticket

Let cost of one ticket be x.

13x

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Answer:

Step-by-step explanation:

statement        reasoning

n = -36               given

-1/3 x -36 = 12    multiplcation property of equality

12 = 12                reflexive property

The following equation is m=d-10+k×i represent the total amount in account(m) in dollar.

Although the question does not specify the options, but I have specified my answer as follows:

Given:

The equation representing the total amount in the account, m, when starting with d dollars and being charged a 10$ fee.

Account Opening Charges: $10

Starting amount: $d

The total amount in the account: $m

Let us say the depositor deposits an amount $k for 'i' number of months

Banks deduct their charges from the account balance itself, hence account opening charges are deducted from the bank balance.

I have assumed an amount $k invested every month. You can remove that term as per the requirement of the question.

The total amount at a point in time = starting amount - Account Opening Charges + monthly deposit till that time

⇒m=d-10+k×i

This equation shows that the total amount in the account will be equal to the initial deposit minus the fee charged by the bank.

Therefore, the following equation is m=d-10+k×i.

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