Find the perimeter and area of the triangle.

The first part of the trip took approximately 6.39 hours and the second part of the trip took approximately 5.84 hours.

In this problem, we are given the distance, total time, and average speeds for two parts of a plane trip.

Using the formula for average speed

Distance = average speed x time,

We can set up two equations and solve for the times spent flying at each speed.

We define t₁ as the time spent flying at 115 mph and t₂ as the time spent flying at 125 mph.

From the equation

730 miles = 115 mph x t₁,

we solve for t₁ and get

t₁ = 6.391304347826087 hours.

Similarly, from the equation

730 miles = 125 mph x t₂,

we solve for t₂ and get

t₂ = 5.84 hours.

Therefore, the plane flew at an average speed of 115 mph for approximately 6.39 hours and at an average speed of 125 mph for approximately 5.84 hours.

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The equation can be solved using the quadratic formula when the following expression is used: [tex]$x=\frac{-(-4)+-\sqrt{(-4)^2-4(1)(3)}}{2(1)}$[/tex]

The quadratic formula in elementary algebra is a formula that gives the solution(s) to a quadratic equation. In addition to the quadratic formula, there are various methods for solving quadratic equations, including factoring (direct factoring, grouping, and the AC technique), completing the square, graphing, and others.

The following general quadratic equation is given:

ax² + bx + c = 0

As a result, a polynomial equation with exponent two is referred to as a quadratic ("square-like") equation. Quadratum is the Latin word for square, and since the area of a square with side length x is given by x2, this is the case.

A quadratic equation's solution(s) can be found using the quadratic formula in elementary algebra. Graphing, factoring (direct factoring, grouping, AC technique), completing the square, and other methods can be used to solve a quadratic equation in addition to the quadratic formula.

The given equation is x² - 4x + 3 = 0

When compared to the quadratic equation's general equation, we get a = 1, b = -4, c = 3.

When the coefficient values for the Sridhar Acharya formula are put in,[tex]$x=\frac{-(-4)+-\sqrt{(-4)^2-4(1)(3)}}{2(1)}$[/tex] which gives Option (A).

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There is only one pair of solution to the given system.

Given is the system of equations as graphed.

Therefore, there is only one pair of solution to the given system which is (1, 4).

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18 pattern block trapezoids would be needed to create 3 hexagons.

Pattern block trapezoids are geometric shapes used for pattern block activities.

Each hexagon is typically made up of 6 pattern block trapezoids.

To determine the number of pattern block trapezoids required to create 3 hexagons, multiply the number of hexagons by the number of trapezoids in each hexagon.

Number of trapezoids = Number of hexagons × Number of trapezoids in each hexagon

                                    = 3 × 6

                                    = 18

Therefore, 18 pattern block trapezoids would be needed to create 3 hexagons.

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Answer:

sleep-peels:board-broad:delis-slide:tinsel-silent:north-thorn

Step-by-step explanation:

Those are the corresponding words

The ratio of pencils to pens can be calculated by dividing the number of pencils by the number of pens. In this case, the ratio of pencils to pens is 10/14.

A ratio is a way to compare two or more values or quantities. It is expressed as a fraction or as a colon-separated pair of numbers. The first number in the ratio represents the number of units of the first quantity, and the second number represents the number of units of the second quantity.

In the case of the ratio of pencils to pens, the first quantity is the number of pencils and the second quantity is the number of pens. To calculate the ratio, you divide the number of pencils by the number of pens. In this case, you would divide 10 by 14, which is equal to 10/14 or 5/7.

The ratio can be expressed as either a fraction or as a colon-separated pair of numbers. In this case, the ratio of pencils to pens is either 5/7 or 5:7.

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The probability of an adult getting a NEG result and truly NOT having tuberculosis is 0.7270.

The probability of an adult getting a NEG result and truly NOT having tuberculosis is 0.7270.  This can be calculated using Bayes' Theorem, which states that [tex]P(A|B) = (P(B|A) * P(A))/(P(B)).[/tex]

In this problem, P(A) is the probability of having tuberculosis (5%), P(B|A) is the probability of correctly identifying a person with tuberculosis (74.6%), and P(B) is the probability of getting a positive result (the sum of correctly identifying a person with tuberculosis (74.6%) and incorrectly identifying a person without tuberculosis

Therefore, P(A|B) = 0.7270.

The probability of an adult getting a NEG result and truly NOT having tuberculosis is 0.7270.

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The graph is wrong because of less than or equal to sign. the correct inequality for the given graph would be y ≥ 3x - 2.

What is inequality?

In Mathematics, the relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally, if two values are not equal, we use “not equal symbol (≠)”. But to compare the values, whether it is less than or greater than, different inequalities are used.

The given graph is wrong for the given inequality  y ≤ 3x - 2

The correct graph for the given inequality is shown below.

The given graph would be correct for the inequality

y ≥ 3x - 2.

Hence, the graph is wrong because of less than or equal to sign. the correct inequality for the given graph would be y ≥ 3x - 2.

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68.5% of Colton's gross pay is take-home pay. To find the percentage of Colton's gross pay that is take-home pay, we need to divide his net pay by his gross pay and then multiply by 100 to convert the resulting decimal to a percentage.

To find the percentage of Colton's gross pay that is take-home pay, we need to divide his net pay by his gross pay and multiply the resulting decimal by 100 to express it as a percentage. Colton's gross pay is $1421.50 and his net pay is $973.48. Dividing the net pay by the gross pay gives a result of 0.685, or 68.5% when converted to a percentage. This means that 68.5% of Colton's gross pay is take-home pay, or the amount of money that he receives after deductions are made. Therefore, Colton's take-home pay is $973.48, which is 68.5% of his gross pay.

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On solving the provided question we can say that  7/8 show 87 and 1/2% as a fraction

Any number of equal parts or fractions can be used to represent a whole. Standard English fractions indicate how many units of a particular size there are. 8, 3/4. Whole contains fractions. The numerator to denominator ratio is a way of representing numbers in mathematics. Each of these is a simple fractional integer. A complex number has a fraction in its numerator or denominator. A proper fraction has a numerator that is smaller than the denominator. A fraction is a sum that is part of a grand total. It can be evaluated by breaking it down into smaller parts. For example, a whole number or half article is represented as 12.  

7/8 show 87 and 1/2% as a fraction

87 and 1/2% should be written as 87.5%

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The unknown angles are as follows:

m∠1 = 117°

m∠3 = 68°

m∠4 = 22°

m∠5 = 90°

When lines intersect angle relationships are formed such as linear angles, vertically opposite angles etc.

Therefore,

m∠1 = 180 - 63(sum of angles on a straight line)

m∠1 = 117 degrees

Hence,

m∠3 = 68 degrees(vertical angles)

Vertically opposite angles are congruent.

Hence,

m∠4 = 90 - 68

m∠4 = 22 degrees

Hence,

m∠5 = 90 degrees(right angle)

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The number line is completed and attached.

A number line is a straight line that extends in both directions and is used to represent numbers. It is often used to visually demonstrate the relationships between numbers, including ordering and magnitude.

The number line is arranged in steps of 1/4 (fraction) or 0.25 (decimal), this represents the smallest tick marks

The medium sized marks represents the 0.5 line while the largest line mark represents the benchmark numbers chosen suitable to suit the numbers.

The negative part of the number line are numbered with the zero mark.

numbers like 1/8 (or 0.125) are converted to decimal and falls half way between each marked line.

2² = 4 and this is a benchmark number.

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The profanity filter refused my answer.

Please find it in the txt file.

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If she needs to divide the butter equally then quantity of butter that should be in 4 batches each is 1/32 pond.

According to the question:

Olivia has 1/8 pound of butter. She needs to divide the butter equally among 4 batches of muffins she is baking.

Quantity of butter = 1/8

Number of batches = 4

To find how much butter is used in each batch of muffins, we just have to divide 1/8 pond of butter to 4.

If she needs to divide the butter equally then quantity of butter that should be in 4 batches each = 1/8 ÷ 4 = 1/32 pond

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Answer:

e

Step-by-step explanation:

The rule of the sides of a triangle is that the sum of the lengths of any two sides of a triangle is always greater than the length of the third side. This rule is also known as the triangle inequality theorem.

If 10% of students who applied to university a were accepted, while university b accepted 50% of the applicants. The probability of being accepted to both universities is 0.05, or 5%.

The probability of being accepted at University A is 10%, which means the probability of not being accepted at University A is 90% (or 0.9). The probability of being accepted at University B is 50%, which means the probability of not being accepted at University B is 50% (or 0.5).

Since the events of being accepted at each university are independent of each other, we can use the multiplication rule of probability to find the probability of being accepted at both universities.

P(A and B) = P(A) x P(B)

where P(A and B) represents the probability of being accepted at both universities, P(A) represents the probability of being accepted at University A, and P(B) represents the probability of being accepted at University B.

Plugging in the values we have:

P(A and B) = 0.1 x 0.5 = 0.05

Therefore, the probability of being accepted to both universities is 0.05, or 5%. This means that there is a very low chance of being accepted at both universities, given the acceptance rates provided.

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A rule for the nth term of the sequence for which a = 30 and r= 1/2 the 5th term of the sequence is 1.875.

What is the geometric sequence?

A geometric sequence is often referred to as geometric progression or geometric series is defined as a sequential pattern of non-zero numbers in which the following number's value is a multiplication from the preceding number by another constant non-zero number.

The rule for the nth term of a geometric sequence is given by the formula:

aₙ  = a * r⁽ⁿ⁻¹⁾

where "a" is the first term in the sequence, "r" is the common ratio, and "n" is the position of the term in the sequence.

In this case, we have "a" = 30 and "r" = 1/2. Substituting these values into the formula, we get:

aₙ = 30 x (1/2)⁽ⁿ⁻¹⁾

This is the rule for the nth term of the sequence with the first term 30 and common ratio 1/2.

To find the nth term of the sequence, we simply plug in the value of "n" into the formula. For example, the 5th term of the sequence would be:

a₅ = 30 * (1/2)⁽⁵⁻¹⁾ = 30 * (1/2)⁴ = 30 * 1/16 = 1.875

Therefore, the 5th term of the sequence is 1.875.

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The required answers are,

a) 675.75 [tex]ft^2[/tex]

b) 9.46 gallons or we can say that 10 gallons needed.

c) $183.2

The amount of unit squares that cover a closed figure's surface is its area. Area is measured in square units like cm² and m². Area of a shape is a two dimensional quantity. The term “area” refers to the space inside the boundary or perimeter of a closed shape.

Now in the given question,

Area of Walls:

[tex]A(walls)=2(11*8)+2(20*8)\\A(walls)=2(88)+2(160)\\A(walls)=176+320\\A(walls)=496 ft^2[/tex]

Area of 2 windows:

[tex]A(windows)=2(3*4)\\A(windows)=2*12\\A(windows)=24 ft^2[/tex]

Area of door:

[tex]A(door)=2.5*6.5\\A(door)=16.25 ft^2[/tex]

Area of walls to be painted:

[tex]=A(walls)-A(windows)-A(door)\\=496-24-16.25\\=455.75ft^2[/tex]

Area of ceiling:

[tex]A(ceiling)=11*20\\A(ceiling)=220ft^2[/tex]

(a) Now total area to be painted:

A(walls to be painted)+ A(ceiling)=A(total)

[tex]A(total)=455.75 ft^2+220ft^2\\A(total)=675.75 ft^2[/tex]

(b) Number of Gallons:

coverage=71.41 ft^2 /gallon

675.75 ft^2/71.41 ft^/gal=gallons needed

9.46 gal= 10 gallons needed(approx)

(c) Cost of Paint:

You would need to buy 10 gallons at $18.32/gallon to have sufficient paint

cost=10 gallons x $18.32/gallon

=$183.2

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Answer:

Step-by-step explanation:

There are 256 people in a room. If they are divided into groups of 4, how many groups are there?

Answer: 64

Michael is now (B) 6 years old.

Let's start by defining variables for the current ages of Norman and Michael.

Let N be Norman's current age, and M be Michael's current age.

From the problem statement, we know that N = M + 12 (Norman is 12 years older than Michael).

We also know that in 6 years, Norman will be twice as old as Michael.

So we can set up the following equation:

N + 6 = 2(M + 6)

Substituting N = M + 12 into the equation, we get:

M + 12 + 6 = 2(M + 6)

Simplifying:

M + 18 = 2M + 12

M = 6

Therefore, Michael is currently 6 years old.

Answer: (B) 6

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The probability that they have dinner at the health food restaurant is 0.643.

To calculate the probability that the first one to arrive has dinner at the health-food restaurant given that they will wait only 20 minutes before leaving to eat elsewhere, we need to use conditional probability.

Let A be the event that the first one to arrive has dinner at the health-food restaurant, and let B be the event that the first one to arrive waits only 20 minutes before leaving to eat elsewhere.

We want to find P(A|B), the probability that A occurs given that B occurs.

We know that P(A) = 0.3, the probability that the first one to arrive has dinner at the health-food restaurant. We also know that P(B|A) = 0.6, the probability that the first one to arrive waits only 20 minutes before leaving to eat elsewhere given that they have dinner at the health-food restaurant.

To calculate P(B), the probability that the first one to arrive waits only 20 minutes before leaving to eat elsewhere, we need to use the law of total probability:

P(B) = P(B|A) x P(A) + P(B|A') x P(A')

where A' is the complement of A, i.e., the event that the first one to arrive does not have dinner at the health-food restaurant. We know that P(A') = 1 - P(A) = 1 - 0.3 = 0.7, and we are given that P(B|A') = 0.1, the probability that the first one to arrive waits only 20 minutes before leaving to eat elsewhere given that they do not have dinner at the health-food restaurant.

Therefore, we can calculate P(B) as:

P(B) = P(B|A) x P(A) + P(B|A') x P(A')

= 0.6 x 0.3 + 0.1 x 0.7

= 0.21 + 0.07

= 0.28

Finally, we can calculate P(A|B) using Bayes' theorem:

P(A|B) = P(B|A) x P(A) / P(B)

= 0.6 x 0.3 / 0.28

= 0.643

Therefore, the probability that the first one to arrive has dinner at the health-food restaurant given that they will wait only 20 minutes before leaving to eat elsewhere is approximately 0.643 or 64.3%.

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Hey there! Johnny Sins always here to help,

To find out what score Natasha needs to earn on her next test, we can use the following formula:

Average = (sum of all scores) / number of scores

Let's call the score Natasha needs to earn on her next test "x".

Her average so far is:

Average = (94 + 89 + 88 + 92 + 85) / 5 = 90

Her average after her next test will be:

Average = (94 + 89 + 88 + 92 + 85 + x) / 6

Now, we need to set this equal to 90% and solve for x:

90 = (94 + 89 + 88 + 92 + 85 + x) / 6

90 * 6 = (94 + 89 + 88 + 92 + 85 + x)

540 = (94 + 89 + 88 + 92 + 85 + x)

x = 540 - (94 + 89 + 88 + 92 + 85)

x = 540 - 448

x = 92

So, Natasha needs to earn a 92% on her next test to average at least 90%.

_________________________________________________________

No problem for the answer, be sure o give a 5 stars and thanks,

Johnny Sins

Shandra is expected to select a pineapple chew about 56 times in the next 400 selections.

Based on the given results, Shandra selected a pineapple chew 8 times out of 57 selections. To estimate the expected number of times she would select a pineapple chew in the next 400 selections, we can use the proportion of pineapple chews selected in the first 57 selections:

The proportion of pineapple chews selected = 8/57

To estimate the expected number of pineapple chews in the next 400 selections, we can multiply the proportion by the total number of selections:

Expected number of pineapple chews in the next 400 selections = (8/57) x 400

expected number of pineapple chews in the next 400 selections = 56.14

Rounding to the nearest whole number, we would expect Shandra to select a pineapple chew about 56 times in the next 400 selections.

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Step-by-step explanation:

Complementary angles add up to 90 degrees, so if one angle is known, the measure of its complement can be found by subtracting it from 90 degrees.

If <A is 16 degrees, then <B is 90 - 16 = 74 degrees.

If <A is 34 degrees, then <B is 90 - 34 = 56 degrees.

If <A is 46 degrees, then <B is 90 - 46 = 44 degrees.

If <A is 100 degrees, then <B is 90 - 100 = -10 degrees. However, angles can't be negative, so this solution is not valid.

350 pounds of the meal should be added to the grain to produce a mixture that costs $1.10 per pound.

What is meant by addition?

In mathematics, addition is the process of fusing two or more integers. The numbers being added are known as addends, while the outcome of the addition process, or the final response, is known as the sum. It is one of the fundamental mathematical operations we employ on a daily basis. We add numbers in many different contexts.

Let the amount of meal mixed with the grain be 'x' pounds.

Now, Total price of the mixture = x*0.80 + 350*1.40 = (x+350)*1.10

350*(1.40 - 1.10) = x*(1.10 - 0.80)

350*0.3 = x*0.3

x = 350

Therefore, the amount of meal that should be added to the grain is 350 pounds.

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Answer: 140

Step-by-step explanation:

Measure of each angle in a regular polygon can be determined by the equation 180(n-2)/n, where n is the number of sides. Plug in 9 to get 140 degrees.

The missing angles are

A. = 130 degrees

B. = 55 degrees

C. = 145 degrees

D. = 73 degrees

E. = 43 degrees

F. = 23 degrees

G. = 61 degrees

H. = 90 degrees

I. = 50 degrees

J. = 27 degrees

K. = 25 degrees

Assuming the missing angle in each case is x

A. Angle on a straight line = 180 degree

x + 50 = 180

x = 130 degrees

B. Angle at a point = 360 degrees

209 + 96 + x = 360

x = 360 - 96 - 209

= 55 degrees

C. Angle on a straight line = 180 degree

= 145 degrees

D. Vertical angles are equal, using vertical angle theorem

= 73 degrees

E.  vertical angle theorem

= 43 degrees

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Answer:

The correct answer would be 3693

Step-by-step explanation:

9 + 180 + 2,700 + 804

3693

1200 pages were numbered using a total of 3693 digits.

Total digits equal =  the digits in the 1 - digit page numbers + the 2 digit page numbers - digit page numbers  + 3 digit page numbers - digit page numbers.

Then simplify,

9 + 180 + 2,700 + 804

= 3693

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Answer:

40

Step-by-step explanation:

To determine the number of rolls, take the number of packs and multiply by the number of rolls per pack.

10 *4 = 40

40 rolls total.

Answer:

40 rolls

Step-by-step explanation:

10 packs * 4 rolls per pack