Mr Davis buys 30 tickets for the drama club to attend a play. The tickets cost n dollars each for a total of $360

Answer: t = 2698

Step-by-step explanation: Subtract 14 from 2712 to get the value of t

Answer:

Step-by-step explanation:

50

The ratio of the whole numbers in its lowest term is ratio $2 to $3 i.e.  [tex]\mathbf{\dfrac{2}{3}}[/tex]

A ratio of two integers a and b can be represented into a fraction as numerators and denominators.

[tex]\mathbf{\dfrac{a \to numerator}{b \to denominator}}[/tex]

To recognize and determine the ratio of the whole numbers in their lowest terms, we will multiply both the numerator and the denominator by 10.

i.e.

[tex]\mathbf{=\dfrac{1.00}{1.50}}[/tex]

[tex]\mathbf{=\dfrac{1.00\times 10}{1.50 \times 10}}[/tex]

[tex]\mathbf{=\dfrac{10}{15}}[/tex]

DIvide both the numerator and denominator by 5;

[tex]\mathbf{=\dfrac{2}{3}}[/tex]

Therefore, we can conclude that the ratio of the whole numbers in its lowest term is ratio $2 to $3 i.e.  [tex]\mathbf{\dfrac{2}{3}}[/tex]

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Answer:

C

Step-by-step explanation:

(4√6)/(5√6)

= 6^(¼) ÷ 6^(1/5)

= 6^(1/4 - 1/5)

= 6^[(5-4)/20]

= 6^(1/20

When dividing roots, multiply them together: 4 x 5 = 20

Invert the product: 1/20

Raise the number under the root by that

Answer = 6 ^ 1/20

Step-by-step explanation:

[tex]12\times(2+2^3)\qquad\text{use PEMDAS}\\\\\text{first power}\\\\=12\times(2+8)\\\\\text{next addition in parentheses}\\\\=12\times10=120[/tex]

Answer:

The probability that Jenny picked a gray tile with her second pick given that she picked a blue tile with her first pick = 0.25

Step-by-step explanation:

i.) there are 6 gray tiles and 3 blue tiles

ii) the probability that Jenny picked a blue tile first is given by

[tex]\frac{number\hspace{0.1cm} of \hspace{0.1cm} blue\hspace{0.1cm} tiles }{total \hspace{0.1cm}number\hspace{0.1cm} of \hspace{0.1cm}tiles\hspace{0.1cm} } = \frac{3}{9} = \frac{1}{3}[/tex]

iii) the probability that Jenny picked a gray tile with her second pick without replacing the first tile[tex]\frac{number\hspace{0.1cm} of \hspace{0.1cm} blue\hspace{0.1cm} tiles }{total \hspace{0.1cm}number\hspace{0.1cm} of \hspace{0.1cm}tiles\hspace{0.1cm} } \times \frac{number\hspace{0.1cm} of \hspace{0.1cm} gray\hspace{0.1cm} tiles }{total \hspace{0.1cm}number\hspace{0.1cm } of \hspace{0.1cm}tiles\hspace{0.1cm} - 1 } = \frac{3}{9} \times \frac{6}{8} = \frac{1}{3} \times \frac{3}{4} = \frac{1}{4} = 0.25[/tex]

The probability that Jenny picked a gray tile with her second pick given that she picked a blue tile with her first pick = 0.25

Answer:

39 percent is increase in mileage.

Thus, the correct option is B. 39%.

Step-by-step explanation:

Given:

A runner increased her distance from 9 miles to 12.5 miles a week.

Now, to find percent increase in mileage.

Previous mileage = 9 miles.

Present mileage = 12.5 miles.

Mileage increase = 12.5 - 9 = 3.5 miles.

Now, to get the percent increase in mileage:

[tex]\frac{Mileage\ increased}{previous\ mileage} \times 100[/tex]

[tex]=\frac{3.5}{9} \times 100[/tex]

[tex]=\frac{350}{9}[/tex]

[tex]=38.88\%.[/tex]

Approximately the percent increase = 39%.

Therefore, 39% is increase in mileage.

Thus, the correct option is B. 39%.

Answer:

83 Hours

Step-by-step explanation:

First do 13x6=78

then add 5 hours to 78 hours and you get 83

Answer:

16

Step-by-step explanation:

Using the Remainder theorem

f(x) divided by (x + h) then the remainder is the value of f(- h)

here the divisor is (x + 3), thus remainder is f(- 3)

remainder = 5(- 3)² + 9(- 3) - 2 = 5(9) - 27 - 2 = 45 - 29 = 16

Answer:

D.

Step-by-step explanation:

The 5 in 458,039 is 100 times greater than the 5 in 271,145 because it represents 50,000 while the 5 in 271,145 represents 500. This can be determined by understanding place values, as each digit's value depends on its position in the number.

The 5 in 458,039 is in the ten thousands place, meaning it represents 50,000. The 5 in 271,145 is in the hundreds place, meaning it represents 500. To understand how many times greater one is than the other, we would divide 50,000 by 500. The result is 100, therefore, the 5 in 458,039 is 100 times greater than the 5 in 271,145. So, the answer is B. 100.

This problem involves place values in numbers, where each digit in a number has a different value depending on its position.

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Step-by-step explanation:

Since f is a linear function then its graph must be a line

to draw a line ,all you need is plotting two points.

f(0)=1/2(0)+2=0+2=2 then the line passes through the point (0,2)

f(2)=1/2(2)+2=1+2=3 then the line passes through the point (2,3)

look ok at the photo below for the graph.

The options that  can be angle measures of a triangle is

2. Set: 25°, 130°, 25°

How to find measure of triangle

To determine whether a set of three angle measures can be the angle measures of a triangle, you can use the sum of internal angles of a triangle which is 180 degrees

Let's analyze each set of three angle measures:

1. Set: 41°, 112°, 52°

41 + 112 + 52 = 205

This cannot be a triangle

2. Set: 25°, 130°, 25°

25 + 130 + 25 = 180

This can be a triangle

3. Set: 30°, 40°, 90°

30 + 40 + 90 = 160

This cannot be a triangle

4. Set: 132°, 141°, 31°

132 + 141 + 31 = 304

This cannot be a triangle

Answer:

5

Step-by-step explanation:

the answer would be 819

Answer: 5

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Answer:

-1/5m-4/5

Step-by-step explanation:

2/5m-4/5-3/5m

2/5m-3/5m-4/5

-1/5m-4/5

Answer:

0.3859

Step-by-step explanation:

Assuming on the average, a jar of peanut butter contains 452 grams, with a standard deviation of 10.4 grams.

Then we have

[tex] \mu = 452 \: and \: \sigma = 10.4[/tex]

We want to find the probability that a jar contains less than 449 grams.

We first determine the z-score of x=449 grams using:

[tex]z = \frac{x - \mu}{ \sigma} [/tex]

We plug in these values to get:

[tex]z = \frac{449 - 452}{10.4} [/tex]

[tex]z = \frac{ - 3}{10.4} = - 0.29[/tex]

Now we read from the standard normal distribution table the area that corresponds to a z-score of -0.29

P(X<449)=0.3859

To find the probability that a jar contains less than 449 grams, calculate the z-score and use a standard normal distribution table or calculator.

To find the probability that a jar contains less than 449 grams, we can use the standard normal distribution and the z-score formula. The z-score is calculated as (X - mean) / standard deviation. In this case, X = 449, mean = 452, and standard deviation = 10.4. By substituting these values into the formula, we can find the z-score, and then use a standard normal distribution table or calculator to find the probability.

1. Calculate the z-score: (449 - 452) / 10.4 = -0.2885

2. Use a standard normal distribution table or calculator to find the probability associated with a z-score of -0.2885. The probability is approximately 0.3830, or 38.30%.

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Answer:

The choices Kyle has are option D.)  {4R, 4B, 4C, 5R, 5B, 5C, 6R, 6B, 6C}

Step-by-step explanation:

The choices available to Kyle either of the models 4, or 5 or 6 and each model can have a protective case which can be either red(R) or blue(B) or camo(C).

So Kyle can have model 4 in red protective case, 4R, or model 4 in blue protective case(4B), or model 4 in camo protective case (4C) or

Kyle can have model 5 in red protective case, 5R, or model 5 in blue protective case(5B), or model 5 in camo protective case (5C) or

Kyle can have model 6 in red protective case, 6R, or model 6 in blue protective case(6B), or model 6 in camo protective case (6C).

So the choices Kyle has are option D.)  {4R, 4B, 4C, 5R, 5B, 5C, 6R, 6B, 6C}

Answer:

D

Step-by-step explanation:

Answer:

75 sides when the interior angle is 175.2

Step-by-step explanation:

these problems are all done the same way. Subtract the interior angle from 180 and divide the result into 360

360/(180 - 175.2)

360 / 4.8

75 sides

Answer:

40(x-10)

Step-by-step explanation:

Answer:

10+20=30

10 is what percent of 30?

10 is 1/3 of 30

Step-by-step explanation:

10 is 33.33% of 30

so 33% of the shirts sold were blue

33.33% of the shirts sold were blue.

Given that, Friday, a store sold 10 blue shirts and 20 white shirts.

We need to find out what percentage of the shirts sold were blue.

The percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Now, 10+20=30

We need to calculate 10 is what per cent of 30.

Let the percentage be x.

So, x% of 30=10

⇒x/100 × 30=10

⇒3x/10=10

⇒3x=100

⇒x=33.33%

Therefore, 33.33% of the shirts sold were blue.

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Step-by-step explanation:

Hope it helps you in your learning process.

Answer:

60 feet

Step-by-step explanation:

The height, h (in meters), of the object launched from a platform is represented by the equation

[tex]h=h(x)=-5x^2+20x+60[/tex]

where x is the time (in seconds) passed after the launch.

The time of launch is [tex]x=0[/tex] (0 seconds passed after the launch)

Substitute [tex]x=0[/tex] to find the height:

[tex]h=h(0)=-5\cdot 0^2+20\cdot 0+60=60\ feet[/tex]

Answer:

30 people.

Step-by-step explanation:

In a survey it is found that 20% of the people preferred umpt juice to all other juices.

Now, if 6 of the surveyed people are being preferred umpt juice, then we have to find the total number of people that were surveyed altogether.

So, 20% of the people being surveyed is equal to 6 people.

Therefore, 100% of the people is equal to [tex]6 \times \frac{100}{20} = 30[/tex] people. (Answer)

Answer:

The stage directions describe how characters react to Helen.

Step-by-step explanation:

In the given scene, the different characteristics of Helen as well as how other characters react when they see Helen is depicted in the scene. Other characters in the scene react differently to Helen when they come in contact with her. This is the main objective of the stage direction. It shows the interaction between Helen and others.

The stage directions represent the additions of the meaning to the play in terms of the stage directions describe how characters react to Helen.

The following information should be considered:

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Answer:

They ate 7/8 of a pizza altogether.

Step-by-step explanation:

So, you know Mrs. Rivera ate 3/8 of a pizza and Ms. Carter ate 4/8 of a pizza.

You add 3/8 + 4/8 and you get 7/8.

The ate 7/8 of a pizza altogether.

The quantity of pizza  that Mrs. Rivera and Ms. Carter ate altogether is equal to [tex]\frac{7}{8}[/tex]

Given the following data:

To calculate how much (quantity) pizza  they ate altogether:

A fraction can be defined as a numerical quantity that isn't a whole number.

Hence, a fraction is simply a part of a whole number.

In this exercise, we would add up the two fractions, so as to calculate how much (quantity) pizza  they ate altogether.

[tex]Total \;quantity = \frac{3}{8} + \frac{4}{8}[/tex]

Lowest common multiple (LCM) = 8

[tex]Total\;quantity = \frac{4\;+\;3}{8} \\\\Total\;quantity = \frac{7}{8}[/tex]

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1 million is 1*10^6

300 thousand is 3*10^5

Since 300,000 is one power of ten below 1 million, it's either A or B.

The correct choice is A, however, because of 1 million being 10^6. We choose the biggest value we get.

Hope this helped!

Answer:

K = 3

a = 6

Step-by-step explanation:

F is directly proportional to a

That’s F = Ka

K is the constant

Divide both sides by a to get the constant k

K = F/a

When F = 24 and a =8

K = 24/8

= 3

When F = 18

a = ?

F = Ka

18 = 3 x a

18 = 3 x a

Divide both sides by 3

18/3 = 3 x a /3

6 = a

a = 6

Answer:

3)  x = 15; 95 and 85      4)  x = 12; 98 for both angles

Step-by-step explanation:

2x + 65 + 3x + 40 = 180       Set the equations equal to 180

5x + 105 = 180                      Combine like terms

     - 105  - 105                      Subtract 105 from both sides

5x = 75                                  Divide both sides by 5

x = 15

Plug 15 into both equations

2(15) + 65 = 95

3(15) + 40 = 85

4)  5x + 38 = 9x - 10             Set the equations equal to each other

  - 5x          - 5x                    Subtract 5x from both sides

 38 = 4x - 10

+ 10       + 10                         Add 10 to both sides

48 = 4x                                  Divide both sides by 4

12 = x

Plug 12 into both equations

5(12) + 38 = 98

9(12) - 10 = 98

Answer: Angle A = 120° and angle C = 45°

Step-by-step explanation: The first thing to note at the back of our minds is that the sum of the interior angles of a triangle equals 180°. Given that the three angle are available, we can start by adding them all together. Hence,

{12x + 12} + 15 + {3x + 18} = 180

12x + 12 + 15 + 3x + 18 = 180

By collecting like terms, we arrive at,

12x + 3x + 12 + 15 + 18 = 180

15x + 45 = 180

Subtract 45 from both sides of the equation

15x = 135

Divide both sides of the equation by 15

x = 9

At this point, we can now substitute for the value of x = 9 in the expressions representing angles A and C.

Angle A = 12x + 12

= 12(9) + 12

= 108 + 12

= 120

Angle A = 120°

Angle C = 3x + 18

= 3(9) + 18

= 27 + 18

= 45

Angle C = 45°