01.01 LC)
Evaluate the following: 42 ÷ (3 + 1). (5 points)

Group of answer choices

4

3

2

1

The inequality that best describes the possible values of x is; Choice A: 2 < x < 10

In a polygon such as that given in the question;

Two scenarios may occur regarding angle; (3x -6)

They are as follows:

This is so because angle 3x - 6 must be between 0° and 24° since 36 > 34

By evaluation;

x < 10

Also,

x > 2.

Therefore, the inequality that best describes the possible values of x is; Choice A: 2 < x < 10

Read more on inequalities:

https://brainly.com/question/22137960

The inequality that describes the possible values of x is 2 < x < 10.

The given parameters:

From the given polygon, the angle facing the shorter length (34) will have the following possible values;

The range of of values of x is calculated as follows;

3x - 6 < 24

3x < 24 + 6

3x < 30

\(x < \frac{30}{3} \\\\x< 10\)

or

3x - 6 > 0

3x > 6

\(x >\frac{6}{3} \\\\x >2\)

Thus, the inequality that describes the possible values of x is 2 < x < 10.

Learn more about inequality here: https://brainly.com/question/14361489

Answer:

Step-by-step explanation:

Area of rectangle:

Area of square:

Answer:

The length of the square is 12 inches.

Step-by-step explanation:

Area of square = Area of rectangle

Area of rectangle = Length × Breadth

⇒ 18 × 8

⇒ 144 in²

★ Area of square = Side × Side

⇒ 144 = Side²

⇒ Side = √144

⇒ Side = 12 inches

Therefore, the length of the square is 12 inches.

Answer:

w = 45

y = 45

Step-by-step explanation:

im really sorry if i got it wrong i just want to help

Answer:

If she read one page on the first day, she will read 8 pages on the 4th day.

Step-by-step explanation:

Day 1=1

Day 2=2 (because 1 doubled is 2)

Day 3= 4( 2*2=4)

Day 4= 8(2*4=8)

It's easy.

Answer:

All the sides of the square are equalso the squares are congruent.. Are congruent shapes? Two shapes that are the same size and the same shape are congruent.

hope this helps

mark me brainliest

Step-by-step explanation:

Answer:

just follow the steps

Step-by-step explanation:

first subract 24 and 8 answer will come 16 now multiply 4 to x and 2 answer is 4x+2 than subract 16 and 2 answer will come 14 now divide 14 and 4 final answer will be 2/7 I only know one method I am really sorry but I hope it helps .

Answer:

x=2

Step-by-step explanation:

Subtract 24 from both sides of the equation. 4(x+2)+8−24=0

Simplify. 4(x+2)+8−24.

The actual nominal rate of return is approximately 6.68%. None of the provided answer options exactly match this value, but the closest option is 6.77%.

To calculate the actual nominal rate of return, we use the Fisher equation:

Nominal Rate = (1 + Real Rate) * (1 + Inflation Rate) - 1

Given:

Real Rate = 3.87% (0.0387 as a decimal)

Inflation Rate = 2.75% (0.0275 as a decimal)

Now, let's plug in the values:

Nominal Rate = (1 + 0.0387) * (1 + 0.0275) - 1

Nominal Rate = 1.0387 * 1.0275 - 1

Nominal Rate = 1.0668 - 1

Nominal Rate = 0.0668 or 6.68% (rounded to two decimal places)

So, the actual nominal rate of return is approximately 6.68%. None of the provided answer options exactly match this value, but the closest option is 6.77%.

To know more about Inflation visit -

brainly.com/question/31193547

#SPJ11

Alex want to subtract 196 from . So here we have to know about basic mathematical calculation.

What is calculation?

Calculation is a mathematical process we take one or more input to get one or more output. For this we uses various operations like Addition , Subtraction, Multiplication, Division, Percentage etc.

In addition we add one or more no to other and get output.

Example : 5 + 4 + 6 = 15

In addition we subtract smaller by the bigger no.

Example : 5 -4 = 1

In Multiplication we multiply two or more number to get output.

Example : 5 x 4 x 6 = 120

In division we divide smaller number by the big one to take output.

Example : 12 / 6 = 2

So , In question, \(50^{2} - 48^{2} =196\)

So, My answer is 196.

To learn more about Percentage, visit:

brainly.com/question/24877689

#SPJ9

The new pressure of the nitrogen gas after it is transferred to a 15.0 L container is 833.3 mmHg.

We are given that;

Capacity of nitrogen gas= 25L

Pressure= 500mmHg

Now,

To find the new pressure of the nitrogen gas, we need to use Boyle’s law, which states that the product of pressure and volume of a gas is constant at constant temperature 12. The formula for Boyle’s law is:

P1V1 = P2V2

where P1 and V1 are the initial pressure and volume of the gas, and P2 and V2 are the final pressure and volume of the gas.

We are also given the final volume of the gas as 15.0 L. We need to find the final pressure of the gas.

Plugging in these values into the formula, we get:

(500.0 mmHg)(25.0 L) = P2(15.0 L)

Solving for P2, we get:

P2 = (500.0 mmHg)(25.0 L) / (15.0 L) P2 = 833.3 mmHg

Therefore, by algebra the answer will be 833.3 mmHg.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ4

Step-by-step explanation:

8 m 40 cm

1 m = 100 cm

Then,

8 m = 8 × 100

= 800 cm

800 + 40 = 840 cm

Now,

It's divided by 5

Then,

840/5

= 168

Therefore,

Option B is correct ✔.

Answer: B or 52

Step-by-step explanation: I will explain later

The probability that a randomly selected home in Queens has 4 or more computers is 0.1 or 10%. The correct answer is (b) 0.10.

The given probability distribution table shows the probabilities of having 1, 2, or 3 computers in a randomly selected home in Queens. However, the probability of having 4 or more computers is not given in the table.

To find the probability of having 4 or more computers in a randomly selected home, we can use the complement rule. The complement rule states that the probability of an event happening is equal to 1 minus the probability of the event not happening. In this case, the event we are interested in is having 4 or more computers in a home, and the complement of this event is having 1, 2, or 3 computers in a home.

So, the probability of having 4 or more computers in a randomly selected home in Queens can be calculated as:

P(4 or more) = 1 - P(1 or 2 or 3)

P(1 or 2 or 3) = P(1) + P(2) + P(3) = 0.4 + 0.3 + 0.2 = 0.9

P(4 or more) = 1 - 0.9 = 0.1

Therefore, the probability that a randomly selected home in Queens has 4 or more computers is 0.1 or 10%. The correct answer is (b) 0.10.

To learn more about probability visit:

https://brainly.com/question/15124899

#SPJ11

Answer: All answers are correct

Step-by-step explanation: ur really smart congrats

Answer:

x=40/3 or x=13.3

Step-by-step explanation:

The final answer is
O ∂^2z/∂x^2 = 12x^2
O ∂^2z/∂x∂y = ∂^2z/∂y∂x = -3
O ∂^2z/∂y^2 = 54y

To find the second partial derivatives, we first need to find the first partial derivatives:

∂z/∂x = 4x^3 - 3y
∂z/∂y = -3x + 27y^2

Now, we can find the second partial derivative:

∂^2z/∂x^2 = 12x^2
∂^2z/∂y^2 = 54y
∂^2z/∂x∂y = ∂/∂x (∂z/∂y) = ∂/∂y (∂z/∂x) =  -3
∂^2z/∂y∂x = ∂/∂y (∂z/∂x) = ∂/∂x (∂z/∂y) = -3

We can observe that the second mixed partials (∂^2z/∂x∂y and ∂^2z/∂y∂x) are equal, which is expected since z has continuous second partial derivatives and satisfies the conditions for the equality of mixed partials (i.e., the partial derivatives are all continuous in some open region containing the point of interest).

Know more about derivatives here:

https://brainly.com/question/30365299

#SPJ11

Answer: -2/A

Step-by-step explanation:

Answer: A. -2

Step-by-step explanation:

Answer:

The correct answers are:

The variable p is the independent variable.

The number of hours spent reading causes a change in the number of pages read.

The variable p is the dependent variable.

Step-by-step explanation: Hope this helps :)))

These two statements are correct and applicable

(1) The number of hours spent reading causes a change in the number of pages read.

(2) The variable p is the dependent variable.

"A Variable is a quantity that may change within the context of a mathematical problem or experiment. Typically, we use a single letter to represent a variable. The letters x, y, and z are common generic symbols used for variables."

"A dependent variable is the variable that changes as a result of the independent variable manipulation."

"A Line graph is a graphical display of information that changes continuously over time. A line graph may also be referred to as a line chart. Within a line graph, there are points connecting the data to show a continuous change. A Line graph has two axes(X- axis and Y-axis)"

We have,

Kelvin read 35 pages per hour

According to the question,

Number of hours increasing, number of pages also increasing

∵ The table data shows linear graph

We can clearly say that from a line graph definition,

These two are correct and applicable to Kelvin's situation

(1) The number of hours spent reading causes a change in the number of pages read.

(2) The variable p is the dependent variable.

Learn more about Line graph and variable here

https://brainly.com/question/20106471

https://brainly.com/question/20291071

#SPJ2

The required equation of the line is y = -x - 5 which passes through the points (2, -7).

A straight line's general equation is y = MX + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis.

On the y-axis, this value c is referred to as the intercept.

So, we have:

2x + 2y = −12

Rewrite as:

2x + 2y = −12

2y = -2x - 12

y = -2x/2 - 12

y = -x - 12

Since parallel lines have the same slope, the equation we're seeking has the following form:

So, we now have: y = -x - a

Now, insert x = 2 and y = -7 in y = -x - a:

y = -x - a

-7 = -2 - a

-a = -5

a = 5

The equation of the line: y = -x - 5

Therefore, the required equation of the line is y = -x - 5 which passes through the points (2, -7).

Know more about the equation of the line here:

https://brainly.com/question/18831322

#SPJ1

Therefore , the solution of the given problem of unitary method  comes out to be  $312  he will make.

To perform a task using the unitary approach, one must first determine the quantity of a narrow subset that exists, and then multiply it by two. Simply put, the unit approach is used to isolate a programming value from either a given set. For instance, 40 pens cost 400 rupees ($1.01), which is equal to Rs. It's possible that only one country will have control over the method utilized to accomplish this. Almost all creatures have a distinctive trait. It is equally capable of integration and reciprocity (mathematics, algebra).

Here,

Given :

We get $6 an hour and 6% commission on sales,

So,

In a week he work 40 hours and did $1200 worth of sales

Thus,

He will make:

=> 40*6 + 6/100*1200

=> 240 + 72

=> $312

Therefore , the solution of the given problem of unitary method  comes out to be  $312  he will make.

To know more about unitary method  visit:

https://brainly.com/question/28276953

#SPJ1

Answer:

around 126

Step-by-step explanation:

68% of buyers paid between $21,000 and $23,000 for the car.The 68-95-99.7 Rule is a rule used to calculate the percentage of observations that fall within a given range of a normal distribution

The 68-95-99.7 Rule is a rule used to calculate the percentage of observations that fall within a given range of a normal distribution. The rule states that 68% of observations fall within one standard deviation of the mean, 95% of observations fall within two standard deviations of the mean, and 99.7% of observations fall within three standard deviations of the mean. In this case, the mean price paid is $23,000 and the standard deviation is $2000. Therefore, the range of prices between $21,000 and $23,000 is one standard deviation from the mean, and 68% of buyers paid between $21,000 and $23,000.Mathematically, this can be expressed as P(21,000<X<23,000) = P(μ- σ < X < μ + σ) = 0.68, where μ is the mean and σ is the standard deviation. By substituting the given values of μ and σ, this equation simplifies to P(21,000<X<23,000) = P(23,000 - 2000 < X < 23,000 + 2000) = 0.68. Therefore,68% of buyers paid between $21,000 and $23,000 for the car.

Learn more about standard deviation here:

https://brainly.com/question/20553308

#SPJ4

The largest image of the mascot that will fit on the Web page is 135 pixels wide and 90 pixels high.

A ratio displays the multiplicity of two numbers. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the overall amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8.

The connection between the amounts of two or more items is defined by a ratio. The amounts of the same kind are compared using this method. It is considered to be in proportion when two or more ratios are equal.

Two ratios are said to be in proportion if they are the same. If the four elements are a, b, c, and d in that order, then a/b = c/d. Extremes are the elements a and d, whereas mean terms are b and c. The ratio shows that the product of averages and the product of extremes are equal.

The height in the web page for the mascot is 90 pixels

let the width be x pixels

Therefore,

\(\frac{90}{x} = \frac{400}{600}\)

⇒ 400*x = 90*600

⇒x = 135 pixels.

To learn more about Ratio and Proportion refer to:

brainly.com/question/14475780

#SPJ1

The train will arrive at its final destination at 2:57 P.M. in the afternoon.

The total distance of the trip is 221 miles and the train travels at an average speed of 34 miles per hour. Using the formula:

time = distance / speed

We can calculate the total time it will take for the train to complete the journey without stopping at stations:

time = 221 / 34 = 6.5 hours

However, the train stops at each of ten stations for four minutes each, so the total time spent stopping is 10 x 4 = 40 minutes, or 0.67 hours. Therefore, the total time the journey will take, including the stops, is:

total time = 6.5 + 0.67 = 7.17 hours

The train departs at 7:30 A.M., so we can add 7.17 hours to this time to find the arrival time:

7:30 A.M. + 7.17 hours = 2:57 P.M.

Therefore, the train will arrive at its final destination at 2:57 P.M. in the afternoon.

for such more question on word problems

https://brainly.com/question/13818690

#SPJ11

Answer:

16. 33° and 57°

17. 10x+20= mEBC

18. 92°

Answer:

The answer is 1.6 ft per second

Step-by-step explanation:

40 ft ÷ 25/  25 seconds÷ 25

{when I put / it means fraction}

This is a fraction equal to

40 ft ÷ 25 seconds

But what we are looking for is a unit rate which has  1 in the denominator,

so next we have to divide top and bottom by 25

=1.6 ft / 1 second

=1.6 ft / second

= 1.6 ft per second

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

Hope this helps

Answer:

1.6 feet per second

Step-by-step explanation:

Answer:

4+n×36-8/8(6+6)=N thats how yiu do it

To calculate the optimal profit, we need to find the value of D when the total cost is \($30,500\) and then substitute it into the given equation.

To find D, we can rearrange the equation to solve for D: Given:\(p = 180 - 0.2D\) and total cost =\($30,500\) Now, substitute the total cost ($30,500) into the equation to find D:

Since D cannot be negative in this context, it means that the given equation is not applicable for a total cost of \($30,500\). it is not possible to calculate the optimal profit using the given equation and the total cost of \($30,500\).

To know more about cost visit:

https://brainly.com/question/14566816

#SPJ11