A rectangle has length 3x + 4 and width 2x - 1. What is the perimeter of the rectangle?

Responses
A 10x + 610x + 6
B 10x + 1010x + 10
C 5x + 35x + 3
D 6x² + 5x - 4

Answer:

15:50

Step-by-step explanation: Out of the 50 times the coin was flipped, it landed on tails 35 times. This means it landed on heads 15 times (50-35=15). The ratio of heads to the total number of flips would be 15:50.

Hours satellite will take  to reach a star that is three light years away is 1.039 * [tex]10^{9}[/tex] hours.

Given :

satellite can move at 17,000 miles per hour.

let t be the number of hours

Convert the disance to miles

3 light years = 3 * 9.5 * [tex]10^{12}[/tex] kilometers

= 3 * 9.5 * [tex]10^{12}[/tex] * 0.62 miles

= 1.767 *  [tex]10^{13}[/tex] miles

divide by the speed to get the time in hours

t = 1.767 *  [tex]10^{13}[/tex] miles /17000 miles /hour

t = 1.039 * [tex]10^{9}[/tex] hours

Hence hours satellite will take  to reach a star that is three light years away is 1.039 * [tex]10^{9}[/tex] hours.

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Each friend pay the bill 7.9133(approx.)

Given,

The expression is given :

(1.75+5.95)+(2.25+4.75)+(1.09+7.95) / 3

Three friends ate lunch at a restaurant and divided the bill equally.

Now, According to the question:

The expression is :

(1.75+5.95)+(2.25+4.75)+(1.09+7.95) / 3

Calculate the sum or difference

=(7.7 + 7 + 9.04 )/ 3

=23.74 / 3

= 7.9133 (approx.)

Hence, Each friend pay the bill 7.9133(approx.)

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Answer

The initial amount on Jon's giftcard is $48.

Explanation

Let the initial amount on Jon's gift card be x dollars.

Jon pays $17 for a shirt using the gift card and the remaining balance was $31.

That is, the equation representing this is

x - 17 = 31

To solve this, we add 17 to both sides

x - 17 + 17 = 31 + 17

x = 48 dollars

The initial amount on Jon's giftcard is $48.

Hope this Helps!!!

Good evening,

Answer: x-17=31 is the equation you're looking for meanwhile its result is x=48

Explanations: Jon spent $18 after having $31 on the card so they're spending money off the card, therefore the equation you're loooking for is x-17=31. In order to solve it add 17 to the other side of the equation such as:

x-17=31 ; x=31+17 ; x=48

By the concept of mean ,50% of the student body is at most 23 years old.

In mathematics, particularly in statistics, there are various kinds of means. Each mean is used to summarize a certain set of data, frequently to help determine the overall significance of a particular data set. Two easy steps can be used to determine the mean, or average, of a set of data: Add up all of the values to get the sum. Divide the total by the total number of values in the data collection. A data set's mean (average) is determined by summing all of the numbers in the set, then dividing by the total number of values in the set. When a data collection is ranked from least to greatest, the median is the midpoint number. The number that appears most frequently in a set of data is called the mode.

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Using the binomial distribution, there is a 0.6328 = 63.28% probability that she wins at most 1 prize.

For each box, there are only two possible outcomes, either it has a prize, or it does not. The probability of a box having a prize is independent of any other box, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

She buys 5 boxes, hence

1 in 4 boxes has a prize, hence

The probability is:

P ( X ≤ 1 ) =P ( X = 0 ) + P ( X = 1 )

Then ,

P ( X ≤ 1 ) = P ( X = 0 ) + P ( X = 1 )

= 0.2373 + 0.3955

= 0.6328

Thus 0.6328 = 63.28% probability that she wins at most 1 prize

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The mean and percentage is deduced from a sample in either case, so it is: the statistic for the sample.

For the given question,

A researcher could be looking at which percentage of golfers only use Titleist balls, or what proportion of high school students eat at Taco Bell between meals.

As a result, either in case, the mean as well as percentage is deduced from a sample, as follows: statistics from a sample.

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Answer:

Step-by-step explanation:

I think not because if a series of true conditional statements then it won't lead to a false conclusion

If Stella walks down a flight of stairs to the basement. Then she walks back up the stairs and another flight of stairs to the second floor of her house. How far is Stella above the ground is: 12 ft.

Given:

Flight stair = 12 feet

Hence,

Let walking from down a flight of stairs to the basement = -12 f

Let  walking back up the stairs = 12Ft

Now let determine Stella height above the ground.

Height = -12 feet + 12 feet + 12 feet

Height = 12 feet

Therefore we can conclude that Stella is 12 feet above the ground.

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Answer: It will be letter c

Step-by-step explanation:

We minus 3 on both sides, we get :
2x = 3x - 2

We have the equation : 3x - x = 2x, or 2x = 3x - x, and this holds true.
Since x corresponds to 2 in the first equation, x = 2 is a solution

Answer:

The Ramirez family has 36 eggs

The intersection of two planes can be a line. Therefore, it's true.

A plane is a flat, two-dimensional surface that never ends in mathematics. A plane is a point, a line, and three-dimensional space's equivalent in two dimensions.

A line is formed by the intersection of two planes. The planes are parallel if they do not intersect. Due to the endless nature of planes, they cannot meet at a single place. In addition, because planes are flat, they cannot intersect over more than one line.

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Answer:
y= [tex]-\frac{4}{3}x-\frac{7}{3}[/tex], so [tex]-\frac{4}{3}[/tex] is your slope!

Step-by-step explanation:

It's best to get this equation in slope-intercept form, meaning to solve for y.

My work is shown below, as to how I solve for y.

4x + 3y = -7

3y = -7 - 4x

Afterward, divide the other side by 3.

y = (-4/3)x (-7/3)

That's how you get the answer. Hope this helped.

As, y = mx + b, and the m stands for the slope, -4/3 is your slope.

The best fitting regression model for the given data plot is  A.Quadratic

The curve-shaped graph of a quadratic function is known as a parabola. On the graph, it is either the highest or lowest point. You can imagine it as the parabola's endpoint.

It is a diagram that illustrates the connection between two or more values or objects. Linear simply implies straight. Straight-line graphs called linear graphs are used to show the relationship between two quantities.

A curve that depicts an exponential function is known as an exponential graph. A curve with a horizontal asymptote and either an increasing slope or a decreasing slope is called an exponential graph. i.e., it begins as a horizontal line, increases or drops gradually, and then the growth or decay accelerates.

The given curve is Quadratic as its graph is parabolic in nature.

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Answer:

Step-by-step explanation:

1.First find the left songs after delete:

65-20= 45 kept

2.Now find deleted: 20 deleted

3.Ratio to kept to deleted= 45:20

4.Simplify: 9:4

When the plane reaches an altitude of 2,000 ft temperature will be 59.3F

The height of a thing above the surface of a planet or natural satellite, like the sea or land is known as altitude.A distance measurement between a reference datum and a point or object, typically in the vertical or "up" direction, is known as altitude, height, or depth.

Although the term "altitude" is frequently used to refer to a location's height above sea level, the term "elevation" is frequently preferred in the context of geography. The term "depth" often refers to vertical distance measurements taken in the "down" direction.

For every 1000 ft there is a drop of 1.2 Fahrenheit

∴ for 2000ft drop in temperature of 2×1.2=2.4F

Also the temperature on the ground is 61.7F

The temperature when the plane reaches 2,000 ft will be

61.7-2.4 = 59.3F

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By SAS rule, triangle DAB is congruent to triangle DCB

If two shapes are similar in size and shape, they are congruent. We can also state that if two shapes are congruent, then their mirror images are identical. If and only if two angles have equal measurements, they are said to be congruent. If and only if two segments have equal amounts of each, they are congruent. If and only if all of the corresponding angles and sides are congruent, two triangles are said to be congruent.

Given data

BD bisects ∠ABC

BD bisects ∠ADC

In ,Triangle DAB and triangle DCB

DA = DC (Given)

∠DAB=∠DCB (BD bisects ∠ABC)

DB = DB (Common Value)

Thus,

△DAB≅△DCB (SAS rule)

By SAS rule, triangle DAB is congruent to triangle DCB

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Answer: 60 m squared dimensions

6 m width

10 m length

Step-by-step explanation:

subtract 8 from the perimeter to account for 2 sides having the extra length then divide the answer by 4 to get the length if all the sides were equal

32-8=24

24/4=6

then add the 4 m back to the answer to get the length

(4,-2) does not lie on the line

Here, we want to select the point that is not a solution to the graphed line

What we have to do is just to susbtitute the value of x and y. If by aritjmetic operation, the result is 16, then the point lies on the line

We proceed as follows;

a) (4,-2)

-2(4) -4(-2)

-8+8 = 0

This lies on the line

b) (1, -4.5)

-2(1)-4(-4.5) = -2 + 18 = 16

This is not on the line

c) (-2,-3)

-2(-2)-4(-3) = 4 + 12 = 16

d) -2(-5)-4(-1.5)

= 10 + 6 = 16

As we can see, only the first point does not lie on the line

Answer:

k=151, g=71, m=29, h=109

Step-by-step explanation:

Vertical angles and sum theory. lmk if you want an in detail explanation

The possible coordinates of the point​ A is (-3, -5) and  (-3, 7)

The given parameters are:

This means that

A = (-3, y)

The distance between any two points is calculated as

D = √[(x₁ - x₂)² + (y₁ - y₂)²]

Substitute the known values in the above equation

So, we have

10 = √[(-3 - 5)² + (y - 1)²]

Evaluate the difference

10 = √[(-8)² + (y - 1)²]

Take the square of both sides

100 = (-8)² + (y - 1)²

So, we have

100 = 64 + (y - 1)²

Evaluate the like terms

(y - 1)² = 36

Take the square roots

y - 1 = ±6

This gives

y = 1 ± 6

So, we have

y = -5 and 7

Hence, the coordinates of point​ A is (-3, -5) and  (-3, 7)

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Assuming you're trying to find the value of r...

Answer:

r = 1

Step-by-step explanation:

Take your starting equation:

16 = 16r

Since r is multiplied by 16, divide both sides by 16 to isolate r.

16 / 16 = 1

16r / 16 = r

The result is 1 = r, which can be written as:

r = 1

Answer: The answer is 8.

Step-by-step explanation:

Triangle ABD is congruent to triangle CBD

Congruent triangles are triangles that are precisely the same size and shape. The word congruent has the sign. When the three sides and three angles of one triangle match the same dimensions as the three sides and three angles of another triangle, two triangles are said to be congruent.

Given, BD perpendicular AC

Angle ADB = Angle CDB = 90

Therefore, angle ABD = angle CDB = 90

AB = CB

BD = BD

Hence, Triangle ABD is congruent triangle CBD

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The most appropriate choice for parallelogram will be given by

[tex]\Delta ABD \cong \Delta CDB[/tex] has been proved

What is a parallelogram?

Parallelogram is a quadrilateral in which each pair of opposite sides are parallel and equal.

There are different properties of parallelogram-

Opposite sides of a parallelogram are equal

Opposite angles of a parallelogram are equal

Diagonals of a parallelogram bisect each other

Here,

AD || BC [Definition of Parallelogram]

[tex]\angle ADB \cong \angle CBD[/tex] [Alternate interior angle theorem]

AB || CD [Definition of Parallelogram]

[tex]\angle ABD \cong \angle CDB[/tex] [Alternate interior angle theorem]

[tex]DB \cong DB[/tex] [DB is the common side]

[tex]\Delta ABD \cong \Delta CDB[/tex] [ASA axiom]

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