A boy earned $21.75 for babysitting. He spent of his
earnings to buy lunch.
How much money does the boy spend on his lunch?

Answer:

coach seats is 310 and first class seats are 77

Step-by-step explanation:

x+4x+2=387

5x+2=387

5x=385

x=77

4x+2

4(77)+2=310

Answer:

There are 77 first-class seats. We can use this information to now define the number of seats in coach. And there are 310 seats in coach.

Step-by-step explanation:

The equation of tangent is y = -2x + 20. The slope of the tangent line is negative 2. And coordinate of point A is (10, 0). And the length of AB is 22.36 units.

The equation of the circle with center at origin and radius r is given as,

x² + y² = r²

The slope of the tangent line to the circle at points (8, 4) is given as,

2x + 2y (dy/dx) = 0

dy / dx = - 8 / 4

m = - 2

Then the equation of the line is given as,

y = -2x + c

The equation is passing through (8, 4), then we have

4 = -2(8) + c

c = 4 + 16

c = 20

The equation is y = -2x + 20. Then the x-intercept is given as,

y = 0

-2x + 20 = 0

2x = 20

x = 10

Then the length of the line is given as,

AB² = (10 - 0)² + (0 - 20)²

AB² = 100 + 400

AB = √(500)

AB = 22.36 units

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Answer:

17t+6q-6

Step-by-step explanation:

18t -t +6q-6​

Combine like terms

17t+6q-6

Answer:

17t+6q-6

Step-by-step explanation:

18t-t =17t

others don't change as they are not the factors of the same character

The range is given for the comparison between the smallest and largest value from the set of data, in this case:

The standar deviation is given for the following formula:

In this case the standart deviation is 2.

Answer: the answer is 3.3

Step-by-step explanation: because 3 + 2 + 4 + 3 = 12 miles

Answer:

There is four boxes I answered this in order

1st box: 3

2nd Box:  7

3rd box: 15

4th box : 19

5th box ; 16

Step-by-step explanation:

This is simple

The height of the triangle is 19.36cm.

What is an isosceles triangle?

An isosceles triangle in geometry is a triangle with two equal-length sides. It can be stated as having precisely two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception.

Here, we have

Given:  An isosceles triangle has congruent sides of 20 cm. The base is 12 cm.

An isosceles triangle has two congruent sides. The height of an isosceles triangle is also the median and the perpendicular bisector of the triangle dividing the base in half and forming two congruent right triangles.

we use the Pythagorean theorem to solve for the triangle's height.

a² + b² = c²

5² + h² = 20²

h² = 400 - 25

h² = 375

h  = 19.36cm

Hence, the height of the triangle is 19.36cm.

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Answer:

The percentage of 18 people out of 50 is 36 %

Step-by-step explanation:

The percentage refers to the per hundred or hundredths and is ended with the symbol %.  By dividing two amounts, ratios and percentages are both used to compare the two amounts.

so,

Therefore the percentage of 18 people out of 50 people is 36 %.

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Answer:

14.3 feet.

14.3 feet

Step-by-step explanation:

The problem forms a right triangle in which:

The Vertical Leg of the Right Triangle = 3 feet

The Horizontal Leg of the Right Triangle =14 feet

We are to determine the length of the broken part of the tree. This is the Hypotenuse of the Right Triangle,

Using Pythagoras Theorem

\(Hypotenuse^2=Opposite^2+Adjacent^2\\Hypotenuse^2=14^2+3^2\\Hypotenuse^2=205\\Hypotenuse=\sqrt{205}\\Hypotenuse=14.32\\ \approx 14.3 feet $(to the nearest tenth of a foot).\\Therefore, the lenght of the broken part of the tree to the nearest tenth of a foot is 14.3 feet.\)

The correct answer is Part 1: The 99% confidence interval for the population proportion is approximately (0.4716, 0.5416).Part 2: With 99% confidence, the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.

Part 1:

To construct a 99% confidence interval for the population proportion, we can use the formula:

Confidence Interval = Sample Proportion ± Margin of Error

where the margin of error is determined by the level of confidence and the standard error.

First, let's calculate the sample proportion:

Sample Proportion = (Number of adults who say they have started paying bills online) / (Total number of adults surveyed)

Sample Proportion = 1436 / 2837 ≈ 0.5066 (rounded to four decimal places)

Next, we need to calculate the standard statistics error, which is the measure of the variability in the sample proportion:

Standard Error = sqrt((Sample Proportion * (1 - Sample Proportion)) / Sample Size)

Standard Error = sqrt((0.5066 * (1 - 0.5066)) / 2837) ≈ 0.0136 (rounded to four decimal places)

Now, we can calculate the margin of error:

Margin of Error = Critical Value * Standard Error

The critical value is based on the desired confidence level. For a 99% confidence level, the critical value is approximately 2.576 (obtained from a standard normal distribution table).

Margin of Error = 2.576 * 0.0136 ≈ 0.0350 (rounded to four decimal places)

Finally, we can construct the confidence interval:

Confidence Interval = Sample Proportion ± Margin of Error

Confidence Interval = 0.5066 ± 0.0350

Confidence Interval ≈ (0.4716, 0.5416) (rounded to four decimal places)

Part 2:

The correct interpretation is:

C. With 99% confidence, it can be said that the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.

This means that we are 99% confident that the true proportion of adults who have started paying bills online falls within the range of 0.4716 to 0.5416. The survey results suggest that approximately 47.16% to 54.16% of the population of adults have started paying bills online in the last year.

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Answer:

3/10

Step-by-step explanation:

............iam not sure

The required ratio of the unshaded square to the shaded square is 7 : 3.

Given that,
To determine the ratio of the number of unshaded squares to the number of shaded squares.​

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Number of shaded squares = 3
number of unshaded squares = 7
Required ratio = 7 / 3 = 7 : 3

Thus, the required ratio of the unshaded square to the shaded square is 7 : 3.

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Answer:

2√15

Step-by-step explanation:

Use the Pythagorean theorem.

2² + x² = 8²

x² + 4 = 64

x² = 60

x² = 4 * 15

x = 2√15

Answer:

Their present ages are:

Step-by-step explanation:

Given that:

To Find:

Let us assume:

After 12 years:

Finding their present ages:

According to the question.

⇒ 3x + 12 = 2(x + 12)

⇒ 3x + 12 = 2x + 24

⇒ 3x - 2x = 24 - 12

⇒ x = 12

Their present ages:

Answer:for a is (x,y) = (1, -5)

B is (x,y) ∈∅

And lastly is c is (x, y) = ( x , 1 - 7x), x∈

Step-by-step explanation:

for a is (x,y) = (1, -5)

B is (x,y) ∈∅

And lastly is c is (x, y) = ( x , 1 - 7x), x∈

Answer:

Step-by-step explanation:

y  =  -5x^2

if x  =  0 , then

y  =  -5(0)

y  =  0

Answer:

$1.47

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

3rd and 5th square numbers means 3² and

5² .

so we know 3² is another word of saying 3×3

3×3=9

5×5=25

9+25=34

Answer:

x = 27 , ∠ EAF = 27°

Step-by-step explanation:

∠ GAF = 90° , then

∠ GAC + ∠ CAF = ∠ GAF , that is

x + 63 = 90 ( subtract 63 from both sides )

x = 27

∠ DAE = 90°

since CD is a straight angle of 180° , then

∠ CAE = 90° , so

∠ CAF + ∠ EAF = ∠ CAE , that is

63° + ∠ EAF = 90° ( subtract 63° from both sides )

∠ EAF = 27°

Answer:

4

Step-by-step explanation: You have to do y-y over x-x. So -1 minus-5 which equals 4. Then 5 minus 4 which equals 1. So you divide the answers you got 4÷1=4

Answer:

-2

Step-by-step explanation:

Substituting the points (0,2) and (1,0) into the slope formula, \(m=\frac{2-0}{0-1}=-2\).

Answer:

6.18%

Step-by-step explanation:

31.50 x 6.18 = 33.45

Answer:

The tax percentage is 5.82959641256%  (Round this number to however you want)

Step-by-step explanation:

31.5/33.45 = 0.94170403587

0.94170403587*100 = 94.1704035874

100 - 94.1704035874 = 5.82959641256

7.3 is the range

Step-by-step explanation:

The range of a set of data is the difference between the largest and smallest values.

The value of the range of the data is,

⇒ 7.3

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

We have to given that;

The data set is,

⇒ 4.8, 5.5, 4.2, 8.9, 3.4, 7.5, 1.6, 3.8

Since, We know that;

Difference between the highest and smallest value of the data set is called range.

Hence, We get;

The value of the range of the data is,

⇒ 8.9 - 1.6

⇒ 7.3

Thus, The value of the range of the data is,

⇒ 7.3

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Answer:

The number A(t) of pounds of salt in the tank at time t = \(\frac{3t(100 - t)}{25}\)

Step-by-step explanation:

Given - A large tank is filled to capacity with 400 gallons of pure water. Brine containing 3 pounds of salt per gallon is pumped into the tank at a rate of 4 gal/min. The well-mixed solution is pumped out at a rate of 8 gals/min.

To find - Find the number A(t) of pounds of salt in the tank at time t.

Proof -

Given that,

Capacity of water = 400 gallons

rate in flow = 4 gal/min

rate out flow = 8 gal/min

Concentration in = 3 lbs/gal

Concentration out = (Amount of salt at time t )/ (Solution in tank at time t)

Now,

Let

A(t) = Amount of salt in the tank at time t

Now,

Initially tank has 400 gallons of water, So

A(0) = 0 ................(1)

Now,

Rate of change in the amount of salt = \(\frac{d}{dt} A(t)\)

                                                             = (Rate in flow )( Concentration In) - (Rate out flow )( Concentration out)

                                                             = (4) (3) - (8) (\(\frac{A(t)}{400 - 4t)}\)

                                                             = 12 - \(\frac{2A(t)}{100 - t)}\)

⇒\(\frac{d}{dt} A(t)\) + \(\frac{2A(t)}{100 - t)}\) = 12

Now,

Integrating Factor, I.F = \(e^{\int {\frac{2}{100 - t} } \, dt }\)

                                    = \(e^{-2ln(100 - t)}\)

                                    = (100 - t)⁻²

⇒I.F = (100 - t)⁻²

The solution becomes

A (I.F) = ∫ (I.F)(12) dt + C

⇒A (100 - t)⁻² = ∫12(100 - t)⁻² dt + C

⇒A (100 - t)⁻² = -12(100 - t)⁻¹ (-1) + C

⇒A(t) = \(12(100 - t)+ C(100 - t)^{2}\)

Now,

We have A(0) = 0

⇒C = -12/100

∴ we get

A(t) = 12(100 - t) - \(\frac{12}{100}\) (100 - t)²

     = 12(100 - t) [ 1 - \(\frac{100 - t}{100}\) ]

     = 12(100 - t) (\(\frac{t}{100}\))

     = \(\frac{3t(100 - t)}{25}\)

⇒A(t) = \(\frac{3t(100 - t)}{25}\)

∴ we get

The number A(t) of pounds of salt in the tank at time t = \(\frac{3t(100 - t)}{25}\)

The answer for this question is Celsius for Fahrenheit.

To convert temperatures from degrees Fahrenheit to degrees Celsius, multiply the result by.5556 (or 5/9) after subtracting 32.

(50°F - 32) x.5556 = 10°C, for instance.

When converting from degrees Celsius to Fahrenheit, multiply the result by 1.8 (or 9/5) and then by 32.

For instance, (30°C x 1.8) + 32 = 86°F'

Here are two useful charts that translate between F and C as well as between C and F.

The temperature of f degrees Fahrenheit converted to degree Celsius.

(( f)=5/9 (f-32)

represent the temperature of f degrees Fahrenheit converted to degree Celsius.

The function C(F) will be "C of F" it will be converted Fahrenheit to Celsius.

So that means if the temperature is in Fahrenheit it will be converted to Celsius.

So that means the C(F) represents the Celsius temperature.

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Complete Question -

For one month diera calculated her home town's average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees FAhrenheit to degrees Celsius using the function C(F) = 5/9(F-32). What does C(F) represent?

Answer:

I am 95% confident that the interval from 28.204 to 32.863 captures the true mean PPG of all of Jordan's home games.

Answer:

The point in which the graph crosses the x-axis is called the x-intercept and the point in which the graph crosses the y-axis is called the y-intercept.

Step-by-step explanation:

The x-intercept is found by finding the value of x when y = 0, (x, 0), and the y-intercept is found by finding the value of y when x = 0, (0, y).

Answer:

68 is the maximum

Step-by-step explanation:

look at the greatest number

Answer:

D.

Step-by-step explanation:

slope = m = rise/run = 2/1 = 2

The slope is 2.

Use point (-2, 1).

y - y_1 = m(x - x_1)

y - 1 = 2(x - (-2))

y - 1 = 2(x + 2)

Answer: D.