Monica has saved $735 for a new guitar and lessons. her guitar costs $475, and guitar lessons are $25 per hour. determine how many hours of lessons she can afford.

Final answer:

To find the probability of at least one blue ball being selected from an urn with green, blue, and red balls in a sample of 5, calculate the probability of not selecting any blue balls and then subtract it from 1.

Explanation:

An urn contains 3 green balls, 2 blue balls, and 4 red balls. In a random sample of 5 balls, find the probability that at least one blue ball is selected.

Calculate the probability of not selecting any blue balls: P(no blue) = (7/9) * (6/8) * (5/7) * (4/6) * (3/5) = 0.167

Find the probability of at least one blue ball: P(at least one blue) = 1 - P(no blue) = 1 - 0.167 = 0.883

The correct equation to predict the number of free weight users is option B) p = 43.2(1.06)t. This equation accounts for a 6% annual increase in users.

Predicting the Number of Free Weight Users

In 1997, there were 43.2 million people using free weights. Given that the annual increase rate is 6%, we use the exponential growth formula to predict the number of people in future years. The correct equation to use is:

p = 43.2(1.06)t

This equation represents an exponential increase, where 'p' is the number of people using free weights and 't' is the number of years since 1997. This can be explained by the fact that a 6% annual increase multiplies the original number of users by 1.06 each year.

look where the line is on the y axis at x =2

 answer is y=-3

value is -3

the answer is F.The addition of zero postulate

The addition inverse postulate explains the relationship between numbers like 5 and -5 that add up to zero, crucial for understanding real number properties.

The addition inverse postulate is illustrated by the expression 5 + (-5) = 0 for real numbers. This postulate states that for every number, there exists an additive inverse that when added together results in zero.

For example, in the given expression, 5 and -5 are additive inverses of each other, and when added, they cancel out to give zero, satisfying the addition inverse postulate.

This concept plays a crucial role in understanding the properties and operations of real numbers.

The answer to this question is 1

Answer:

[tex]P(n)=66n-1200[/tex]

Step-by-step explanation:

Let x be the revenue collected from selling each ticket.

We have been given that a charity organisation had to sell a few tickets just to cover necessary production costs of $1200. After selling 200 tickets, they had a net profit of $12,000.

Since we know that net profit is the difference between total revenue and total cost.

[tex]\text{Net profit}=\text{Total revenue- Cost}[/tex]

We can represent our given information in an equation to find the revenue collected from each ticket:

[tex]12000=200x-1200[/tex]

Let us solve for x by adding 1200 to both sides of equation.

[tex]12000+1200=200x[/tex]

[tex]13200=200x[/tex]

[tex]x=\frac{13200}{200}[/tex]

[tex]x=66[/tex]

Therefore, the revenue collected from selling each ticket is $66.

Now let us write the net profit, P(n), from fundraiser as the function of number of tickets sold,n.

The revenue from selling n tickets will be 66n.

Production costs = 1200

[tex]P(n)=66n-1200[/tex]

Therefore, our desired function will be: [tex]P(n)=66n-1200[/tex].

  Both the triangles ΔABC and ΔADC are congruent by SSS postulate of congruence.

From the picture attached,

In ΔABC and ΔADC,

AB ≅ AD (Given)

BC ≅ CD (Given)

AC ≅ AC (Reflexive property)

Since, corresponding sides of ΔABC are equal to ΔADC,

Therefore, ΔABC ≅ ΔADC (By S-S-S postulate of congruence)

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Answer:

a–2=3 6a/3

So I was told The answer was -5 but all the people r wrong its -3

proof

To calculate how long it takes for an investment to earn a certain amount in simple interest, use the formula T = I / (PR), where I is the interest, P is the principal, R is the rate of interest, and T is the time. For a $2000 investment at 4.5% interest to earn $495, it would take approximately 5.5 years.

The subject of this question is Simple Interest. The formula for calculating simple interest is I = PRT, where I is the interest, P is the principal (the initial amount of money), R is the rate of interest per time period, and T is the time. In this case, we know the interest ($495), the principal ($2000), and the rate (4.5% or 0.045 as a decimal). We're trying to find out the time, so we rearrange the formula to T = I / (PR).

Substituting our known values, we get T = 495 / (2000 * 0.045). Doing the math, the time it takes for the investment to earn $495 is approximately 5.5 years.

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9.95 + 0.30s=c

 replaces s with 35

9.95 +0.30(35) =c

9.95 + 10.50 = 20.45

 it will cost $20.45

We have that the standard form of 24 ten thousands is

240,000

From the Question we are told that

24 ten thousands is given

Where

24 ten thousands=24*10000=240,000

Generally the standard form of 24 ten thousands is

240,000

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Answer:

B

Step-by-step explanation:

Answer:

there are 13 more cups

Step-by-step explanation:

i already did it

One cab charges an initial fee of $2.50 and then $0.50 for every mile. The other cab company charges an initial fee of $1.00 and then $0.75 for every mile.

The value of m is 6 in the equation 2.50 + 0.50m = 1.00 + 0.75m.

Two or more expressions with an Equal sign is called as Equation.

Given that Two cab rides cost the same amount for the same number of miles, m.

The given equation is 2.50 + 0.50m = 1.00 + 0.75m.

Two point five zero plus zero point five zero times m equal to one point zero plus zero point seven five times m.

First cab charges an initial fee of $2.50 and then $0.50 for every mile. The other cab company charges an initial fee of $1.00 and then $0.75 for every mile.

2.50 + 0.50m = 1.00 + 0.75m

2.50-1.00=0.75m-0.50m

1.5=0.25m

Divide both sides by 0.25

m=6

Hence, the value of m is 6 in the equation 2.50 + 0.50m = 1.00 + 0.75m.

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Jane studied a total of 5 11/12 hours for her history final and math exam.

To find the total number of hours Jane studied for the two tests, we add together the number of hours she studied for each test. Jane studied 4 2/3 hours for her history final and 4 1/4 hours for her math exam.

To add these fractions, we need to have a common denominator. The least common multiple of 3 and 4 is 12. We can convert 2/3 to 8/12 and 1/4 to 3/12.

Now we can add the fractions: 4 8/12 + 4 3/12 = 5 11/12.

Therefore, Jane studied a total of 5 11/12 hours for the two tests.

Final answer:

Jane studied a total of 7 3/4 hours for her history and math exams.

Explanation:

To find out how many hours Jane studied for the two tests, we simply need to add the hours she studied for each test together.

Jane studied 4 2/3 hours for her history final and 4 1/4 hours for her math exam.

We can add these two fractions by finding a common denominator and then adding the numerators.

In this case, the common denominator is 12. So, we have (4 * 4 + 2) / 3 = 18/3 and (4 * 3 + 1) / 4 = 13/4.

Adding these fractions together, we get (18/3) + (13/4) = 54/12 + 39/12 = 93/12. Simplifying this fraction, we get 7 3/4 hours.

Therefore, Jane studied a total of  7 3/4 hours for the two tests.

Answer:

c Kayla is answer

Step-by-step explanation:

Since sine lies between-1 and +1 we have cosecant, reciprocal of sin lying always outside -1 and 1.

i.e. |cosec x|>1

For acute angle sine, cos , tan are positive

So cosec x >1 and similarly since cos x <1, sec x >1 always

But tanx varies between 0 and infinity for acute angles

Hence cot can take values from 0 to infinity

Hence the correct answer is that of Kayla

The cosecant and secant of an acute angle are always greater than 1, but the cotangent can be greater than 1, less than 1 or equal to 1.

The statement about cosecant, secant, and cotangent values that is correct is Kayla's: The cosecant and secant of an acute angle are always greater than 1, but the cotangent can be greater than 1, less than 1 or equal to 1.

In Trigonometry, the sine of an acute angle is a ratio of the length of an opposite side of a right-angled triangle to the length of its hypotenuse.  Also, the sine of an angle generally lies between -1 and 1.

In Trigonometry, the cosecant (cosec) of an acute angle is a ratio of the length of its hypotenuse to the length of an opposite side of a right-angled triangle. Thus, the cosecant of an angle is the reciprocal of the sine function and as such lies outside -1 and 1.

The cotangent of an acute angle is a ratio of the length of its adjacent side to the length of an opposite side of a right-angled triangle.

In conclusion, Kayla's statement about the values of cosecant, secant, and cotangent is correct.

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Answer:

Step-by-step explanation:

Non-foliated metamorphic rocks are those which don't have a rough texture, like foliated ones, their composition gives them this characteristics: not having layers or banded appearance.