You want to take a trip to the beach, which costs $450. You
have $900 in your bank account but must withdraw $60
each week to pay for groceries. What is the maximum
number of weeks you can withdraw money and still have
enough to take your trip to the beach?


I need the inequality, inequality answer, final answer

Answer:

-22

Step-by-step explanation:

-5 + 6 x -3

= -5 + -17

= -5 - 17

= -22

Answer:

-23

Step-by-step explanation:

-b+6x

putting the values

-5+6×(-3)

= -5-18

= -23

Answer: 8/15

jk^2+kl^2=lj^2

jk^2+16^2=34^2

jk^2+256=1156

jk= sqrt(1156-256)

jk=sqrt(900)

jk=30

tan J= KL/JK

= 16/30

=8/15

Step-by-step explanation:

(a) The probability of zero arrivals during the next minute is approximately 0.2231. (b) The probability of z service times less than or equal to a given value can be calculated using the exponential distribution formula.

(a) The probability of zero arrivals during the next minute can be calculated using the Poisson distribution with a rate of 1.5 per minute. Plugging in the rate λ = 1.5 and the number of arrivals k = 0 into the Poisson probability formula, we get P(X = 0) = e^(-λ) * (λ^k) / k! = e^(-1.5) * (1.5^0) / 0! = e^(-1.5) ≈ 0.2231.

(b) In the second part of the problem, the employee serves each customer in 1 minute on average, and the service times follow an exponential distribution. The probability of z service times less than or equal to a given value can be calculated using the exponential distribution. We can use the formula P(X ≤ z) = 1 - e^(-λz), where λ is the rate parameter of the exponential distribution. In this case, since the average service time is 1 minute, λ = 1. Plugging in z into the formula, we can calculate the desired probability.

Note: Since the specific value of z is not provided in the problem, we cannot provide an exact probability without knowing the value of z.

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Answer:

It's bc

Step-by-step explanation:

The volume of the right prism include the following: 8,640 in³.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

Next, we would determine the area of the triangle at the base of the right prism as follows:

Base area = 1/2 × ( 36 × 12)

Base area = 1/2 × 432

Base area = 216 in².

Now, we can calculate the the volume of this right prism:

Volume = base area × height

Volume = 216 × 40

Volume = 8,640 in³.

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It takes the unpowered raft 192 hours to travel the same distance between Pier A and Pier B.

Let's assume the distance between Pier A and Pier B is D.

When the motorboat is going downstream, it benefits from the current, so its effective speed is increased.

Let's say the speed of the motorboat in still water is S.

The speed of the current is C.

Therefore, the motorboat's speed downstream is S + C.

When the motorboat is going upstream, it has to overcome the current, so its effective speed is decreased.

The speed of the motorboat upstream is S - C.

We are given that the motorboat takes 32 hours to go downstream and 48 hours to return upstream.

Downstream speed: S + C

Downstream time: 32 hours

Distance = Speed × Time

D = (S + C) × 32

Upstream speed: S - C

Upstream time: 48 hours

D = (S - C) × 48

Since the distance (D) is the same in both cases, we can equate the two equations:

(S + C) × 32 = (S - C) × 48

32S + 32C = 48S - 48C

16S = 80C

S = 5C

We know that the raft is unpowered, so its speed is equal to the speed of the current (C).

Therefore, the speed of the unpowered raft is C.

Time = Distance / Speed

Time = D / C

Since D = (S + C) × 32

we can substitute the value of S:

Time = [(5C) + C] × 32 / C

Time = 6C × 32 / C

Time = 192

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Answer:

1.2541 x^2

Step-by-step explanation:

Answer: D. $12.00

Step-by-step explanation:

Looking at the table you will see that the increment from 3 to 4 is $12.00

You can find this by subtracting 3 from 4.

48-36 = 12

If you fill in the table with $12.00, you will see it is consistent with the other values.

I hope this helps.

Answer:

$24

Step-by-step explanation:

You have to multiply the hours worked by 12

pls mark brainliest

Answer:

Step-by-step explanation:

From the information given, we need to get the rate of change of distance which is the velocity (slope.)

velocity = Δd/Δt

v = d2-d1/t2-t1

from the table;

when t = 2, d = 700

when t  = 3, d = 1050

v = 1050/750/3-2

v = 350/1

v = 350

Since v = d/t

350 = d/t

cross multiply

350t = d

Rearrange:

d = 350t

Hence the equation that represents the information is d = 350t

Answer:

D

Step-by-step explanation:

The surgical procedure that involves crushing a stone or calculus is called lithotripsy.

Lithotripsy is a minimally invasive procedure used to break down or fragment kidney stones, bladder stones, or gallstones into smaller pieces, making them easier to pass out of the body naturally. The procedure is typically performed using non-invasive techniques that do not require any surgical incisions. One common method of lithotripsy is extracorporeal shock wave lithotripsy (ESWL), where shock waves are directed at the stone externally to break it into smaller fragments. These smaller pieces can then be eliminated from the body through the urinary system. Lithotripsy is an alternative to more invasive surgical procedures, such as open surgery, which involves making incisions to remove the stone directly. It offers several advantages, including shorter recovery time, reduced risk of complications, and minimal pain and scarring. Lithotripsy is a commonly used technique for treating urinary stones and has proven to be effective in managing stone-related conditions. However, the specific type of lithotripsy used may vary depending on the size, location, and composition of the stone. It is important for patients to consult with their healthcare providers to determine the most appropriate treatment approach for their specific case.

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Given:

Able's age can be represented by x.

Able's sister is 4 years younger than him.

Able's older brother is twice as old as he is.

The combined age of all three siblings is 32.

To find:

The age of Able's younger sister.

Solution:

Able's age can be represented by x.

Able's sister is 4 years younger than him.

Age of Able's sister = (x-4)

Able's older brother is twice as old as he is.

Age of Able's older brother = 2x

The combined age of all three siblings is 32.

\(x+(x-4)+2x=32\)

\(4x-4=32\)

Add 4 on both sides.

\(4x=32+4\)

\(4x=36\)

Divide both sides by 4.

\(x=\dfrac{36}{4}\)

\(x=9\)

The age of Able is 9 years. So, age of his younger sister is

\(9-4=5\)

Therefore, the age of Able's sister is 5 years.

Answer:

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

D/Its the last one: 2 and 7.

Step-by-step explanation:

Interior angles are usually angles on the inside and on the same line like 4 and 7, and 2 and 5. however ALTERNATE interior angles are angles that are still on the inside, but are across from each other, like 2 and 7, or 4 and 5.

Answer: 70 meters

Step-by-step explanation:

Hi, since the situation forms a right triangle and a rectangle, we have to apply the Pythagorean Theorem (for the triangle)

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (the longest side) and a and b are the other sides.  

Replacing with the values given:  

65^2 = 16^2 + x^2  

4,225 = 256 + x^2

4,225-256 = x^2

3,969=x^2

√3,969 =x

63=x

We have calculated the missing side of the triangle, now we have to add the height of the rectangle:

63 +7 =70 meters

Feel free to ask for more if needed or if you did not understand something.  

Answer:

Simplify the expression.

3x2/2

hope this makes sense lol

Step-by-step explanation:

Answer:

1.5 : 1 (or) 3/2

Step-by-step explanation:

Given expression,

→ 3x/2x

Let's simplify the expression,

→ 3x/2x

→ (3 ÷ 2)(x ÷ x)

→ (1.5)(1)

→ 1.5

Now the required ratio will be,

→ 3 : 2

→ 1.5 : 1

Hence, required ratio is 1.5 : 1.

Answer:

$400

Step-by-step explanation:

Given data

Worth of stock=  $32,000

Broker fee= 1.25%

let us find 1.25% of  $32,000

=1.25/100* 32000

=0.0125*32000

=$400

Hence he paid the broker $400

Answer:a unit of grammatical organization next below the sentence in rank and in traditional grammar said to consist of a subject and predicate

Step-by-step explanation:

The decision for this test at a .05 level of significance is not enough information to make a decision the correct answer is (d).

To make a decision for a hypothesis test, we compare the obtained test statistic (in this case, z = 1.80) with the critical value(s) based on the chosen level of significance (in this case, α = 0.05).

For a one-sample z test, if the obtained test statistic falls in the rejection region (i.e., beyond the critical value(s)), we reject the null hypothesis. Otherwise, if the obtained test statistic does not fall in the rejection region, we fail to reject the null hypothesis.

Without knowing the critical value(s) corresponding to a significance level of 0.05 and the directionality of the test (one-tailed or two-tailed), we cannot determine the decision for this test. Therefore, the correct answer is (d) There is not enough information to make a decision.

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Answer:

0.4

Step-by-step explanation:

how many minutes are in 4 miles

Answer:

I believe it’s C. 2.5

Step-by-step explanation:

Answer:

B. 1x-3

Step-by-step explanation:

slope is m = 1

y-int = (0, -3)

Answer: 12/4 or 3 miles

Step-by-step explanation:

Let's start by setting up an equation to solve for the number of apples in the basket at first.

Let A be the number of apples in the basket at first, and P be the number of pears in the basket at first.

From the problem, we know that:

- A + P = 80 (the total number of fruits in the basket at first)

- 0.4A (40% of the apples) and (2/3)P (66.67% of the pears) were eaten

- In the end, there were 36 fruits left, so the number of fruits that were eaten was 80 - 36 = 44.

From this information, we can set up the following equation:

0.4A + (2/3)P = 44

We can then use the first equation to solve for P in terms of A:

P = 80 - A

Substituting this into the second equation, we get:

0.4A + (2/3)(80 - A) = 44

Simplifying this equation, we get:

0.4A + 53.33 - (2/3)A = 44

Multiplying both sides by 15 to eliminate the fractions, we get:

6A + 800 - 10A = 660

Simplifying this equation, we get:

-4A = -140

Dividing both sides by -4, we get:

A = 35

Therefore, there were 35 apples in the basket at first.

Answer:

Let's start by using algebra to solve this problem. We'll let "a" be the number of apples in the basket at first, and "p" be the number of pears. We know that:

a + p = 80 (since there were 80 fruits at first)

We also know that 0.4 of the apples were eaten, which means that 0.6 of the apples were left. Similarly, 2/3 of the pears were eaten, which means that 1/3 of the pears were left. So:

0.6a + (1/3)p = 36

Now we have two equations and two variables, which we can solve using substitution or elimination. Let's solve for "p" in the first equation:

p = 80 - a

Now we can substitute this expression for "p" in the second equation:

0.6a + (1/3)(80 - a) = 36

Multiplying both sides by 3 to get rid of the fraction:

1.8a + 26.67 - 0.33a = 36

Combining like terms:

1.47a + 26.67 = 36

Subtracting 26.67 from both sides:

1.47a = 9.33

Dividing both sides by 1.47:

a = 6.33

So there were approximately 6.33 apples in the basket at first. Since we can't have a fraction of an apple, let's round up to 7 apples. To check our answer, we can substitute this value for "a" in the first equation:

a + p = 80

7 + p = 80

Subtracting 7 from both sides:

p = 73

So there were 7 apples and 73 pears in the basket at first. We can check that 0.4 of the apples were eaten (which is 0.4 x 7 = 2.8, or 3 since we can't eat a fraction of an apple), and 2/3 of the pears were eaten (which is 2/3 x 73 = 48.67, or 49 since we can't eat a fraction of a pear). So there were 7 - 3 = 4 apples left, and 73 - 49 = 24 pears left, for a total of 28 fruits left. This doesn't match the given information that there were 36 fruits left, so there must be an error in the problem statement or our calculations.

The resulting expression is 9x^2/y^3

Given the expression below;

9x²y^-3

Using the negative exponent

y^-3 = 1/y^3

Substitute to have;

9x²y^-3 = 9x^2(1/y^3)

9x²y^-3 = 9x^2/y^3

Hence the resulting expression is 9x^2/y^3

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Answer:

Candy canes are a classic Christmas treat, traditionally white with red stripes and flavored with peppermint. They have been popular since the 1600s and are thought to have originated in Germany. Today, 90 percent of all candy canes are sold between Thanksgiving and Christmas.

In a bag of Christmas treats, there are 3 red candy canes for every 5 gingerbread men. If there total is 40 treats, then the number of candy canes will be 24. This can be calculated by taking 40 divided by 8 (5+3) which equals 5, and then multiplying this by 3 which equals 15. Therefore, 24 candy canes are included in the bag of 40 Christmas treats.

Step-by-step explanation:

There’s 6 numbers that can be used.

The first digit can be any of the 6

The 2nd digit can be any of the 5 left

The 3rd digit can be any of the 4 left

The 4th did fit can be any of the 3 left

The 5th digit can be any of the 3 left

The 6th digit would be the last number left.

Total combinations = 6 x 5 x 4 x 3 x 2 x 1 = 720

Approximately 9.4 seconds after diving, the sky diver's velocity will be 59 meters per second.  

The velocity function for a sky diver falling near the Earth's surface is given by the exponential function \(v(t) = 71 - 71e^(-0.19t)\), where t represents the time after diving measured in seconds.

To find the number of seconds after diving when the sky diver's velocity is 59 meters per second, we need to solve the equation:

\(59 = 71 - 71e^{(-0.19t)}\)

Let's solve it step by step:

Subtracting 71 from both sides:

\(-12 = -71e^{(-0.19t)}\)

Dividing both sides by -71:

\(e^{(-0.19t)} = \frac{12}{71}\)

Taking the natural logarithm (ln) of both sides to eliminate the exponential:

\(ln(e^{(-0.19t)}) = ln(\frac{12}{71})\\-0.19t = ln(\frac{12}{71})\)

Now, we can solve for t by dividing both sides by -0.19:

\(t =\frac{ln(\frac{12}{71})}{-0.19}\)

Using a calculator or a software, we find:

t ≈ 9.356 seconds (rounded to three decimal places)

Therefore, approximately 9.4 seconds after diving, the sky diver's velocity will be 59 meters per second.  

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Answer:

Step-by-step explanation:

We know 20 people attended and each paid $30. There was already $800 before the event.

A)

T = total amount raised

p = number of people that attended

T = 30p + 800           $30 multiplied by the number of people who attended  

T = 30(20) + 800      gives the amount raised at the fundraiser.  We add 800

T = 600 + 800           because that was raised before the event.

T = $1400

B) If he split the money equaly between 2 organizations, we divide the total raised, T, by 2.

$1400/2 = $700     Each organization recieved $700

Answer: $285

Step-by-step explanation:

Let the installation fee be represented by x.

Therefore, the equation to solve the question will be:

= x + 6w

where,

x = installation cost

w = number of weeks

x + 6w = 345

x + 6(10) = 345

x + 60 = 345

x = 345 - 60.

x = 285

Therefore, the installation fee is $285

Answer:

a) 11x^5

b) 4 1/2mn

Step-by-step explanation:

Según los subrayados de las preguntas, creo que solo necesita ayuda en a y b. (Disculpe también mi español, no es mi lengua materna.) Entonces, para el primero, ya que ambos tienen el mismo exponente, todo lo que necesita hacer es restar los números. Como resta un negativo, el resultado es positivo, lo que significa que en su lugar agrega el número (sin el negativo)

Para el segundo, debes restar la fracción del número entero. Esto entonces su ecuación es 5- 1/2 que es 4 1/2mn. Entonces tu respuesta es 4 1/2mn

The Direct characterization quote describes character through their physical description, line of work, passions and pursuits .

The Direct Characterization quote is defined as a method of describing character in a straightforward manner that means through their physical description for example blue eyes , their line of work example lawyer, and their passions and outside pursuits .

Direct characterization can be called as one of the most useful and common literary device .

Some Advantage of Direct Characterization are :

(i) Introducing the characters ;

(ii) Help's in Revealing the character’s motivations ;

(iii) it Provides reader with memorable character traits .

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