the segments shown below could form a triangle. True or false ​

Answer: 5/8

Step-by-step explanation: There are 8 members. Out of 8, there are 5 people's weight that are higher than 135. Therefore the answer is 5/8.

The solution of the inequalities is as follows:

1. x > 3

2. x > - 1

Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤.

Therefore, let's solve the inequalities as follows:

-3x + 18 < x + 6

subtract x from both sides of the inequalities

-3x + 18 < x + 6

-3x - x + 18 < x - x + 6

-4x + 18 < 6

subtract 18 from both sides of the inequalities

-4x + 18 < 6

-4x + 18 - 18 < 6 - 18

-4x < -12

divide both sides by -4

x > 12 / 4

x > 3

Let's solve the second inequality

8x - 6 > -3x - 17

8x + 3x > -17 + 6

11x > - 11

divide both sides by 11

x > - 11 / 11

x > -1

The solution are as follows:

1.  x > 3

2. x > -1

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Answer:

There are 20 blue fish in the aquarium.

Step-by-step explanation:

If 60% of the fish are red than 40% are blue. That means that 20% fish is 10 fish. 20% = 10 fish. 40% = 20 fish.

Volume of solid generated when the trapezoid is rotated about side DE=549.8.

A trapezoid is a quadrilateral with only one pair of parallel sides. It is also known as a trapezium in some countries.

The volume of a solid is the amount of space it occupies in three-dimensional space.There are different formulas to calculate the volume of different types of solids, such as cubes, spheres, cylinders, and cones.

Given trapezoid DEFG formed when right angle HGD is cut by line FE.

Volume of solid generated about side DE:

\(V_{GDH}\)=1/3×πr²h

=1/3×π(5+5)²(6)

=200π

\(V_{FEG}\)=1/3×π×r²h=1/3×π×(5)²×3

=25π

Volume of Solid=\(V_{GDH}\)-\(V_{FEH}\)

=200π-25π=175π

=549.78 ≈549.8

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Answer: They bought 2 adult tickets and 3 children's tickets.

Step-by-step explanation: If you multiply the adult tickets, (5.10,)  by 2, and then multiply the children's tickets (3.6), you will then add the products together. Your answer should come up as 21.00 dollars.

Answer:

12

Step-by-step explanation:

a^2+b^2=c^2

9^2+b^2=15^2

81+b^2=225              subtract 81 from both sides

b^2=144                     square root b^2 and 144

b=12

Hope this helps :)

Answer:

It is odd

Step-by-step explanation:

For example let's substitute 1 for x

f(x) = 4(1)+3

         4+3

f(x) = 7 this is odd

Let's substitute 2

f(x) = 4(2)+3

         8+3

f(x) = 11 this is odd

This means no matter what you substitute for x, it will be odd

Hope this helps!

Answer: y=-4x+1

Step-by-step explanation: the slope of the 2 points is -4 and in the answers -4x represents the slope.

Answer:

y= -4x +1

Step-by-step explanation:

Please see the attached picture for full solution.

The number of particles in 9.89 moles of carbon is solved to be

To determine the number of particles in 9.89 moles of carbon, we can use Avogadro's constant, which is defined as the number of particles (atoms or molecules) in one mole of a substance.

Avogadro's constant is approximately 6.02 x 10^23 particles per mole.

So, the number of particles in 9.89 moles of carbon is:

= 9.89 moles x (6.02 x 10^23 particles/mole)

= 5.95 x 10^24 particles

Therefore, there are approximately 5.95 x 10^24 particles in 9.89 moles of carbon.

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In the provided text is a questionnaire or form related to a research tool for assessing a campaign in the community.

The first question asks whether the campaign pursues its aims, with the options of answering "YES" or "NO." The respondent is then instructed to elaborate on their answer.

A questionnaire is a research tool   used to collect data by presenting a series of questions to respondents,typically in a written format.

Questionnaires are an important research tool as they allow researchers to gather   large amounts of data from a large number of participants in   a standardized and efficient manner.

They provide a structured approach to collecting information,allowing for easy analysis and comparison   of responses.

Questionnaires can be used in various   research settings and are particularly useful for collecting quantitative data,measuring attitudes, opinions, behaviors, and gathering demographic information.

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Answer:

Very Small as if the exponent is negative it means that the number is a fraction

Step-by-step explanation:

Answer:

1. 23.52861

2. 164.374

3. 39.235

4. 1485.148

5. 593.7288

Step-by-step explanation:

1. 23.52861

2. 164.374

3. 39.235

4. 1485.148

5. 593.7288

Answer:

Step-by-step explanation:

Use a simple Equation

Price = Number x Price

So Price = 536.

Since it was 67% off we multiple the price of the original by .67.

So

536 = .67x

Solve for x = 536/.67 = 800

The original Price is $800.

check by multiplying by the sale %.

The measurement of all angles co-terminal with a -220° angle is represented by 140+ 360 n, for any integer number n.

These are the angles which shares the same initial line or terminal side. They are obtained by adding or subtracting 360° from the given angles.

Given, angle is -220° then its one positive co-terminal angle= -220°+360 = 140°

So, 140° is a positive co-terminal angle of -220°.

Therefore, co-terminal angle must be the type of 140°+360° n,

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Answer:

she bought 3 chicken wings

Step-by-step explanation:

8c = 10.4 --> where c is the cost of a chicken wing

c = 10.4 divided by 8

= 1.3

xc = 3.9 (x = number of chicken wings)

1.3x = 3.9

x = 3.9 divided by 1.3

which is 3

Answer:

Step-by-step explanation:

15/4 x 4/3= 60/12= 5

The expected value of the game to the player is $5.95, and if they play 1000 times, they would expect to lose $5950.

The expected value of the game to the player is the average amount of money they can expect to win or lose in the long run. To calculate the expected value, we must multiply the probability of winning (1/38) by the amount of money won ($210) and subtract the probability of losing (37/38) by the amount of money paid to play ($6). This gives us an expected value of (1/38) x ($210) - (37/38) x ($6) = $5.95. If you played the game 1000 times, you would expect to lose $5950 in total, as the expected value of each game is -$5.95. This means that, on average, you would lose $5.95 for every game you play. Multiplying this amount by 1000 gives us our expected total loss of $5950.

The calculation for the expected value of the game and the total expected loss for playing it 1000 times is as follows:

Expected value = (1/38) x ($210) - (37/38) x ($6)

= ($5.526) - ($5.684)

= -$0.158

Therefore, the expected value of each game is -$0.158, which means that on average, a player can expect to lose $0.158 for every game played.

Total expected loss for playing 1000 times = (-$0.158) x 1000

= -$158

Therefore, if the game is played 1000 times, the total expected loss is -$158

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Answer:

Take a look at the pic above

Answer:

62.5%

Step-by-step explanation:

To find the percent decrease, we first need to find the difference between the original price and the sale price of each shirt. In this case, the difference is $48 - $18 = $30.

Then, we divide this difference by the original price and multiply by 100% to express the answer as a percentage. So, the percent decrease is:

(30 / 48) * 100% = 62.5%

Rounding to the nearest tenth, the percent of decrease in the price of the shirts is 62.5%, or approximately 62.5%.

Answer:

62.5%

rounding to the nearest tenth,the precent of decrease in the price of the shirt is 62.5% or approximately 62.5%

Answer:

12?

Step-by-step explanation:

B. After 24 hours, approximately 2.49 grams will be left.

C. After approximately 18.13 hours, there will be approximately one gram left.

A. To represent the number of grams present after n hours, we can use the equation:

N(n) = 15 × (1 - 0.2)^n

Where:

N(n) is the number of grams present after n hours,

15 is the initial amount of the substance in grams,

0.2 represents the decay rate of 20% per hour, and

^n represents the exponentiation operation.

B. To find out how much will be left after 24 hours, we can substitute n = 24 into the equation from part A:

N(24) = 15 × (1 - 0.2)^24

Calculating this expression, we find that approximately 2.49 grams will be left after 24 hours.

C. We need to determine the number of hours it takes until there is approximately one gram left. We can set up the equation:

1 = 15 × (1 - 0.2)^n

To solve for n, we can divide both sides of the equation by 15 and then take the logarithm (base 0.8) of both sides:

log(0.8)(1/15) = n

Using a calculator or logarithmic properties, we find that approximately 18.13 hours are required until there is approximately one gram left.

Therefore, the answers are:

B. After 24 hours, approximately 2.49 grams will be left.

C. After approximately 18.13 hours, there will be approximately one gram left.

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In the word problems given above, the results are:

1) Let's call the number we're looking for "x". According to the problem, "three times a number" is the same as 60 minus 21, which is 39. So we can write the equation:

3x + 21 = 60

Subtract 21 from both sides:

3x = 39

Divide by 3:

x = 13

Therefore, the number we're looking for is 13.

2)

Let's call the number we're looking for "x" again. According to the problem, "three times the difference between a number and three" is the same as "four times the number". So we can write the equation:

3(x - 3) = 4x

Simplify:

3x - 9 = 4x

Subtract 3x from both sides:

-9 = x

Therefore, the number we're looking for is -9.

3)

Let's call the first of the three consecutive integers "x". The next two would be x+1 and x+2. According to the problem, their sum is 48, so we can write the equation: x + (x+1) + (x+2) = 48

Simplify:

3x + 3 = 48

Subtract 3 from both sides:

3x = 45

Divide by 3:

x = 15

So the three consecutive integers are 15, 16, and 17. To answer the second part of the question, we can substitute these values into the given expression:

3m - z(1st) = 3(16) - 15(15) = 48 - 225 = -177


4)
Let's call the smallest of the three consecutive odd integers "x". The next two would be x+2 and x+4. According to the problem, twice the smallest is seven more than the largest, so we can write the equation:

2x = (x+4) + 7

Simplify:

2x = x + 11

Subtract x from both sides:

x = 11

So the three consecutive odd integers are 11, 13, and 15. The middle number is 13.


5)
Let's call the width of the rectangle "w". According to the problem, the length is 3 cm more than the width, so the length is w + 3. The perimeter is the sum of all four sides, which is:

P = 2w + 2(w + 3) = 4w + 6

We know that the perimeter is 22 cm, so we can write the equation:

4w + 6 = 22

Subtract 6 from both sides:

4w = 16

Divide by 4:

w = 4

So the width is 4 cm, and the length is 7 cm (since it's 3 cm more than the width). To find the area, we use the formula:

A = (L)(W) = (7)(4) = 28 square cm


6)

Let's denote the length of side a as x. Then we know that side b is 3 times the length of side a, or 3x, and side c is 1 more than twice the length of side a, or 2x+1.

Since the perimeter of the triangle is 43 inches, we can write the equation:

a + b + c = 43

Substituting in our expressions for b and c, we get:

x + 3x + 2x + 1 = 43

Simplifying the left-hand side, we get:

6x + 1 = 43

Subtracting 1 from both sides, we get:

6x = 42

Dividing both sides by 6, we get:

x = 7

thus:

a = 7

b= 3x = 21; na d

c = 2x + 1 = 14+1

c = 15

Thus the sum of sides a and b =
21 + 7
= 28

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Answer: F

Step-by-step explanation:

Answer: correct answer is A

Step-by-step explanation:

Remember that the coordinates (−2,−5π3) tell us the radius r=−2 and the angle θ=−5π3. So the point should be on the circle labeled 2 and form an angle of −5π3 with the negative x-axis. Point A is the correct point.

Hello!

We have all angles of the triangle:

We will use the law of cosines. This relation is valid for all sides of any t

We have:

angle A = 12°

côté a = 10

angle B = 150°

This is therefore the first case of application of the sine law.

So:

\(\sf \dfrac{b}{sin~B} = \dfrac{a}{sin~A}\)

\(\sf b =\dfrac{sin~B~*~a}{sin~A} = \dfrac{sin~150~*~10cm}{sin~12} = \dfrac{arcsin~0.5~*~10cm}{arcsin~0.2079116908} = \dfrac{30~*~10cm}{12} = \dfrac{300cm}{12} = \boxed{\sf25cm}\)

Equation1: y = 3x

Equation 2: x = -2y + 70

To solve this system, we will use the value of x of the second equation into the fist equation:

y = 3x = 3(-2y + 70) = -6y + 210

y = -6y + 210

y + 6y = 210

7y = 210

y = 210/7 = 30

y = 30

Now, we will tusethe value of y into the second equation to find the value of x:

x = -2y + 70 = -2(30)+80 = -60 + 70 = 10

x = 10

Answer:

x = 10

y = 30

The cylinder holds 3 times more water than the cone

volume of the cylinder is (pi) (r^2) (height), volume of the cone is (1/3)(pi)(r^2)(height)

Cone is 1/3 of cylinder volume so cylinder holds 3 times the amount

Cylinder holds 942 cu units, cone holds 314,

Answer cylinder holds 628 cu units more than cone

cyl= 3.14 x 5^2 x 12=942

Cone= 1/3 x 3.14 x 5^2 x 12 = 314

Answer:

No, the zeros of the function are at x = 3/4 and x = –2

Step-by-step explanation:

the equation

4x² + 5x – 6 = 0

(note: since there is a coefficient of x² we need to multiply it to the last term(6))

4x² + 5x – 24 = 0

the factors are :- 8x and – 3x

4x² + 8x – 3x – 6 = 0

4x( x + 2) –3( x + 2) = 0

( 4x – 3)( x + 2) = 0

the zeros will be

4x – 3 = 0

4x = 3

\(x = \frac{3}{4} \)

x + 2 = 0

x = – 2

the zeros are x= 3/4 or –2

i hope this helps