a club sold 275 tickets for a fundraiser at the community center. student tickets cost $3, and adult tickets cost $5. the total value of tickets sold is $1,025. how many adult tickets were sold? 125

Answer:

I think is B.

Step-by-step explanation:

hope its help

Answer:

Option B

Step-by-step explanation:

Answer:

All integers are rational numbers .

Step-by-step explanation:

please mark as branliest

Answer:

B. (4, -2)

Step-by-step explanation:

Please see attachment.

Hope this helps!

If not, I am sorry.

The value of k is 1, the volume of the parallelepiped is 12 + 4λ, and the vector component of a + c orthogonal to c is (1,1,1.5).

a) Here the area of the parallelogram determined by d and e is given as 10. The area of the parallelogram is given as `|d×e|`.

We have,

d=(2,4)

and e=(4k,3k)

Then,

d×e= (2 * 3k) - (4 * 4k) = -10k

Area of parallelogram = |d×e|

= |-10k|

= 10

As we know, area of parallelogram can also be given as,

|d×e| = |d||e| sin θ

where, θ is the angle between the two vectors.

Then,10 = √(2^2 + 4^2) * √((4k)^2 + (3k)^2) sin θ

⇒ 10 = √20 √25k^2 sin θ

⇒ 10 = 10k sin θ

∴ k sin θ = 1

Therefore, sin θ = 1/k

Hence, the value of k is 1.

Part(b) The volume of the parallelepiped determined by vectors a, b and c is given as,

| a . (b × c)|

Here, a=(1,1,2),

b=(5,3,λ), and

c=(4,4,0)

Therefore,

b × c = [(3 × 0) - (λ × 4)]i + [(λ × 4) - (5 × 0)]j + [(5 × 4) - (3 × 4)]k

= -4i + 4λj + 8k

Now,| a . (b × c)|=| (1,1,2) .

(-4,4λ,8) |=| (-4 + 4λ + 16) |

=| 12 + 4λ |

Therefore, the volume of the parallelepiped is 12 + 4λ.

Part(c) The vector component of a + c orthogonal to c is given by [(a+c) - projc(a+c)].

Here, a=(1,1,2) and

c=(4,4,0).

Then, a + c = (1+4, 1+4, 2+0)

= (5, 5, 2)

Now, projecting (a+c) onto c, we get,

projc(a+c) = [(a+c).c / |c|^2] c

= [(5×4 + 5×4) / (4^2 + 4^2)] (4,4,0)

= (4,4,0.5)

Therefore, [(a+c) - projc(a+c)] = (5,5,2) - (4,4,0.5)

= (1,1,1.5)

Therefore, the vector component of a + c orthogonal to c is (1,1,1.5).

Conclusion: The value of k is 1, the volume of the parallelepiped is 12 + 4λ, and the vector component of a + c orthogonal to c is (1,1,1.5).

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Answer:

1. 17.2

2. 1/4 or 0.25

3. 3/10 or 30%

4. 15/16

I hope this helped

Step-by-step explanation:

The molarity of the KOH solution is 0.4558 M for a 50 mL sample of KOH that is titrated with a 0.8186 M HCl solution. Also given that the titration requires 27.87 mL of HCl solution to reach equivalence point.

In this problem, we are given a 50.0 mL sample of KOH that is titrated with a 0.8186 M HCl solution. The titration requires 27.87 mL of the HCl solution to reach the equivalence point. To find the molarity of the KOH solution, we need to use the definition of molarity, which is the number of moles of solute per liter of solution.
First, we need to calculate the number of moles of HCl that reacted with the KOH. We can do this using the titration equation:
moles HCl = molarity of HCl x volume of HCl used
moles HCl = 0.8186 M x 0.02787 L
moles HCl = 0.02279 mol
Since KOH and HCl react in a 1:1 ratio according to the balanced equation, the number of moles of KOH in the sample is also 0.02279 mol.
Next, we can use the volume and concentration of the KOH sample to calculate its molarity:
molarity of KOH = moles KOH / volume of KOH sample (in L)
volume of KOH sample = 50.0 mL = 0.0500 L
molarity of KOH = 0.02279 mol / 0.0500 L
molarity of KOH = 0.4558 M
Therefore, the molarity of the KOH solution is 0.4558 M.

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The range is infinity.

Here f(x) = 5x²

The formula is

d\(x^{n}\)/dx = n \(x^{n-1}\)

To know the deviation of this we have

f(x) = 5x²

d f(x) / dx = d( 5x²) /dx

                = 5× 2x

                = 10x

Hence the required derivation is 10x.

The range is infinity as x can be any number.

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Answer:

b.

Step-by-step explanation:

edge 2021

hope this helps

The velocity of the train is 30 km/h west.

Velocity can be determined by dividing the total displacement travelled by the total time travelled. The direction of travel is also added.

Velocity = 120 km / 4 hours = 30 km/h west.

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we can say that the teacher's gοal οf a standard deviatiοn οf at mοst 8 pοints was achieved, at a 5% level οf significance.

A measure οf a grοup οf values' variance οr dispersiοn in statistics is called the standard deviatiοn. When the standard deviatiοn is lοw, the values are mοre likely tο fall within a narrοw range, alsο knοwn as the expected value, whereas when the standard deviatiοn is high, the values tend tο be clοser tο the mean.

The lοwercase Greek letter sigma, which stands fοr the pοpulatiοn standard deviatiοn, οr the Latin letter s, which stands fοr the sample standard deviatiοn, are mοst frequently used in mathematical equatiοns and texts tο represent standard deviatiοn. Standard deviatiοn is alsο sοmetimes referred tο as SD.

suppοse that οn a 100-pοint test, the teacher's gοal is fοr her students' exam scοres tο have a standard deviatiοn οf at mοst 8 pοints.

chi²\(= (n-1)*s^2 /\sigma^2\)

where n is the sample size, s is the sample standard deviatiοn, and sigma is the hypοthesized pοpulatiοn standard deviatiοn under the null hypοthesis.

In this case, n = 25, s = 9.5, and sigma = 8. Substituting these values, we get:

chi² \(= (25-1)*9.5^2 / 8^2 = 33.64\)

The degrees οf freedοm fοr this test is n-1 = 24. Using a chi-squared table with 24 degrees οf freedοm, we find that the critical value fοr a οne-tailed test at a 5% level οf significance is 36.42.

Therefοre, we can say that the teacher's gοal οf a standard deviatiοn οf at mοst 8 pοints was achieved, at a 5% level οf significance.

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Using the elimination method, the price of one t-shirt is $30 and one key-chain is $11.

In the given question, Elizabeth's family went to NYC for their vacation.

At the gift shop on Liberty Island, Valerie bought three t-shirts and four key chains for $134, and Jennifer bought four t-shirts and five key chains for $175.

We have to find the price of each item.

Let the price of one t-shirt = $x

Let the price of one Key chain = $y

According to question

Price of three t-shirts and four key chains = $134

So the equation is

3x + 4y = $134……………….(1)

Also,

Price of four-shirts and five Key chains = $175

So the equation is

4x+5y = $175……………………..(2)

Now solving the equation using the elimination method.

Multiply Equation (1) by 5 and Equation (2) by 4, we get

15x+20y = 670....................(3)

16x+20y = 700......................(4)

Subtract equation 4 and 3, we get

x = 30

Now put the value of x in equation 1,

3*30 + 4y = $134

90+4y=$134

Subtract 90 on both side, we get;

4y = 44

Divide by 4 on both side, we get;

y = 11

Hence, the price of one t-shirt is $30 and one key-chain is $11.

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Two balls are dropped from a height of 5 m. Ball A bounces up to a height of 4 m whereas ball B bounces up to 2 m. They both experience the same impulse.

The impulse experienced by an object during a collision is given by the change in momentum of the object. Momentum is defined as the product of mass and velocity.

In this scenario, we are not given the masses or the durations of the collisions. However, we can make some assumptions to determine which ball experiences the larger impulse.

Assuming that the balls have the same mass, we can compare their velocities before and after the collision with the floor. Both balls start with the same initial velocity (downward) and experience the same change in velocity (upward) after the bounce. Therefore, the change in momentum and the impulse experienced by both balls should be the same.

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Sean drank slushy  8 ml per second.

The correct answer is an option (D)

"The slope of the line passing through points \((x_1,y_1),(x_2,y_2)\) is,

\(m=\frac{y_2-y_1}{x_2-x_1}\)"

For given question,

From the graph, we can observe the line is passing through points         (0, 600) and (75, 0)

Let \((x_1,y_1)=(600,0),(x_2,y_2)=(75,0)\)

The slope of the line would be,

\(\Rightarrow m=\frac{y_2-y_1}{x_2-x_1}\\\\\Rightarrow m=\frac{0-600}{75-0}\\\\\Rightarrow m =\frac{-600}{75}\\\\ \Rightarrow m = -8\)

This means, Sean drank slushy  8 ml per second.

The correct answer is an option (D)

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Answer:

Step by step explanation

1. \( \frac{1}{1 - x} + \frac{x}{ {x}^{2} - 1} \)

Use \( \frac{ - a}{b} = \frac{a}{ - b} = - \frac{a}{b} \) to rewrite the fractions

\( - \frac{1}{x - 1} + \frac{x}{(x - 1)(x + 1)} \)

Write all numerators above the Least Common Denominator ( X - 1 ) ( X + 1 )

\( \frac{ - (x + 1) + x}{(x - 1)(x + 1)} \)

When there is a ( - ) in front of an expression in parentheses , change the sign of each term in the expression

\( \frac{ - x - 1 + x}{(x - 1)(x + 1)} \)

Using \((a - b)(a + b) = {a}^{2} - {b}^{2} \) , simplify the product

\( \frac{ - x - 1 + x}{ {x}^{2} - 1 } \)

Since two opposites add up to zero, remove them from the expression

\( \frac{ - 1}{ {x}^{2} - 1} \)

So, Option A is the right option.

___________________________________

2.

\( \frac{ {x}^{2} - x - 12}{ {x}^{2} - 16} - \frac{1 - 2x}{x + 4} \)

Write - X as a difference

\( \frac{ {x}^{2} + 3x - 4x - 12 }{ {x}^{2} - 16 } - \frac{1 - 2x}{x + 4} \)

Using \( {a}^{2} - {b}^{2} = (a - b)(a + b)\) , factor the expression

\( \frac{ {x}^{2} + 3x - 4x - 12 }{(x - 4)(x + 4)} - \frac{1 - 2x}{x + 4} \)

Factor the expression

\( \frac{x(x + 3) - 4(x + 3)}{(x - 4)(x + 4)} - \frac{1 - 2x}{x + 4} \)

Factor out X+3 from the expression

\( \frac{(x + 3)(x - 4)}{(x - 4)(x + 4)} - \frac{1 - 2x}{x + 4} \)

Reduce the fraction with x-4

\( \frac{x + 3}{x + 4} - \frac{1 - 2x}{x + 4} \)

Write all the numerators above the common denominator

\( \frac{x + 3 - ( 1- 2x)}{x + 4} \)

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression

\( \frac{x + 3 - 1 + 2x}{x + 4} \)

Collect like terms

\( \frac{3x + 3 - 1}{x + 4} \)

Subtract the numbers

\( \frac{3x + 2}{x + 4} \)

Undefined at,

X + 4 = 0

Move constant to R.H.S and change its sign

\(x = 0 - 4\)

Calculate

\(x = - 4\)

So, the answer is :

\( \frac{3x + 2}{x + 4} \) , undefined at X = -4 and 4

Hope this helps..

Best regards!!

Answer:

At 5 weeks, mark and Gloria had the same amount of money of 20 dollars.

Step-by-step explanation:

your answer will be 5 weeks

have a nice day/night !!

Answer:

5/6 - 1/6 = 4/6 = 2/3

Step-by-step explanation:

Since both numbers' denominators are the same, all you have to do is minus normally on the top numbers. You would take the difference and put it on the same denominators. Finally simplify!

Answer:  b = 45 inches

Work Shown:

\(a^2+b^2 = c^2\\\\b^2 = c^2-a^2\\\\b = \sqrt{c^2-a^2}\\\\b = \sqrt{51^2-24^2}\\\\b = \sqrt{2025}\\\\b = 45\\\\\)

For more information and examples, check out the pythagorean theorem.

Answer:

I think it is c

Step-by-step explanation:

because its like a vending machine if u press a button it gives you one thing

Answer:

10cm

Step-by-step explanation:

Perimeter of rectangle=30cm

width=5cm

length=?

p =w+w+l+l

30 =5+5+2L

30 =10+2L

30-10=2L

20 =2L

20÷2=L

10 =L

L =10cm

second method

=30-5-5

=20÷2

=10cm

The bank should not recall its card from a customer who has missed a monthly payment, as the probability of default is less than the threshold of 0.20 set by the bank.

(a) Let D denote the event that a customer defaults and M denote the event that a customer misses a monthly payment. We need to find P(D|M). We can use Bayes' theorem to solve for this:

P(D|M) = P(M|D) * P(D) / P(M)

We know that P(D) = 0.03, P(M|D) = 1, and P(M|not D) = 0.21. To find P(M), we can use the law of total probability:

P(M) = P(M|D) * P(D) + P(M|not D) * P(not D)

= 1 * 0.03 + 0.21 * 0.97

= 0.2391

Therefore, we have:

P(D|M) = 1 * 0.03 / 0.2391

= 0.1258 or approximately 0.13 (rounded to 2 decimal places)

So the probability that a customer will default given that they have missed a monthly payment is about 0.13.

(b) The bank should recall its card from a customer who has missed a monthly payment if the probability that the customer will default is greater than 0.20. From part (a), we know that the probability of default given that a customer has missed a monthly payment is about 0.13, which is less than 0.20. Therefore, the bank should not recall its card from this customer.

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11. The area difference between them is 96 square units (192 - 96).

12. The trough stands 4 feet tall.

11. The area of Figure A is 96 square units (12 x 8) and the area of Figure B is 192 square units (16 x 12). The difference in their areas is 96 square units (192 - 96).

12. Let the height of the trough be h. The volume of the trough is given by the formula:

Volume = base area x height

Substituting the given values:

96 = 24h

Dividing both sides by 24:

h = 4

Therefore, the trough is 4 feet tall.

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Answer:

Opposite of 7= -7

Step-by-step explanation:

The two triangles that are similar are triangles A and B

Similar triangles are triangles that have the same shape, but their sizes may vary. For two triangles to be equal, the corresponding angles must be equal and the ratio of corresponding sides must be equal.

Checking the three triangles, triangle A has the angles of 125° , 25° and the third angle can be calculated as 180-(125+25) = 180-150 = 30°

Triangle B has 125°, 30° and the Third angle can be calculated as 180-(125+30) = 180-155 = 25°

Triangle C has the angle 35°,25° and the third angle can be calculated as 180-(35+25) = 180-60 = 130°

Therefore,it is shown That triangles And B are similar to each other because they have thesame corresponding angles.

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I'll do problems 2 through 6 to get you started.

=================================================

Problem 1

You have the correct answer. You add the take home pay of his first job (504.64) to the amount he earns on his second job (40) to get 541.64 as his net monthly income.

=================================================

Problem 2

Add up any dollar amount that's leaving his pocket. Only focus on expenses that occur monthly. So we will ignore the one time payment of getting that theme park ticket, and we'll also ignore any gifts he buys.

In the second paragraph of the info you're given, all of the expenses we need are here. He has car insurance (110), gas and maintenance (65), and a cell plan (30). In total, his monthly expenses are 110+65+30 = 205 dollars per month.

=================================================

Problem 3

Subtract the net monthly income (problem 1) and the expenses (problem 2) to get the amount of discretionary spending he has

541.64 - 205 = 336.64

This value is a positive number, so that means he has money to do whatever he wants with it such as buying that park ticket or buying those gifts.

=================================================

Problem 4

His short-term goals are to buy the Six Flags ticket, and buy gifts for his friends and family. He also wants to buy an e-reader for himself.

These are all short-term goals as they are in a relatively short time window of less than a year.

Add up those values to get

135+200+80 = 415

So his short-term goals will cost a total of $415

=================================================

Problem 5

His long-term goals are saving up for college to pay for tuition and books. As the instructions say, long-term goals are ones that you need more than a year in advance to plan for. This is because the expense is much greater compared to those various short-term goal items.

=================================================

Problem 6

Subtract 135 from the net monthly income you calculated in problem 1

541.64 - 135 = 406.64

Answer:

i believe it’s 7.9 miles

Step-by-step explanation:

if there’s no specific location of the house then 7.9 must be the answer

Answer:0.757

Step-by-step explanation:

\( \sf \leadsto \: a_n = a + (n-1) d\)

\( \sf \leadsto \: a_{50} = 10 + (50-1) - 3\)

\( \sf \leadsto \: a_{50} = 10 + (49) - 3\)

\( \sf \leadsto \: a_{50} = 10 + 49 \times ( - 3)\)

\( \sf \leadsto \: a_{50} = 10 + ( - 147)\)

\( \sf \leadsto \: a_{50} = 10 - 147\)

\( \sf \leadsto \: a_{50} = - 137\)

The exponential model that calculates the concentration of bacteria after x weeks can be represented by the equation B(x) = 2.1 million * (3^x), the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

This equation assumes that the concentration triples each week, starting from the initial concentration of 2.1 million bacteria per milliliter.

To estimate the concentration after 1.6 weeks, we can substitute x = 1.6 into the exponential model. B(1.6) = 2.1 million * (3^1.6) ≈ 14.87 million bacteria per milliliter. Therefore, after 1.6 weeks, the estimated concentration of bacteria in the river would be approximately 14.87 million bacteria per milliliter.

The exponential model B(x) = 2.1 million * (3^x) represents the concentration of bacteria after x weeks, where the concentration triples each week. By substituting x = 1.6 into the equation, we estimate that the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

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Answer:

\(71\frac{3}{4}\)

Step-by-step explanation:

Area = base * height = \(10\frac{1}{4}\times 7=(10+\frac{1}{4})\times 7= 10\times 7 + \frac{1}{4}\times 7= 70 + \frac{7}{4} = 70+1+\frac{3}{4} = 71\frac{3}{4}\)