What is the value of 4x – 3y if x = 3 and y = 6?

Answer:

y \(\leq\) 6 + \(\frac{3x}{4}\)

Step-by-step explanation:

3x - 4y \(\geq\) 24

-3x                 -3x

(-4y \(\geq\) 24 - 3x ) / -4

y \(\leq\) 6 + \(\frac{3x}{4}\)

Answer:

690 and 6,900

Step-by-step explanation:

     230

x      33

______

     690

+   6,900

________

    7590

[<Answer>] (1):
Heyy there, it's Avery. And I'm here to help! :)

----------------------------------------------------------------------------------------------------------[<The Explanation>]:

Let x= number of watches sold

Ethan= x(14) + (20)(1.50)

Roy = x(13.50) + (20)(1.80)

Since they collected the same amount of money:

14x + (20)(1.50) = 13.50x + (20)(1.80)

Combine like terms:

14x - 13.50x = (20)(1.80) - (20)(1.50)

0.50x = 36 - 30

0.50x = 6

x = 6/0.50

x= 12

Ethan sold 12 watches. And also Roy.
Andddd...We're done! :D

----------------------------------------------------------------------------------------------------------
[<Ending>] <3

Hope this helps and if it's wrong, you can't sue me! :D

Bye! Hope this works for you :)

Have a nice day! - Avery <3

T = 8.80 years is the time required which can be find using simple interest.

Here,

Simple Interest (I) = 3300 (8300-5000)

Principal amount (P) = 5000

Rate of Interest (R) = 7.5%

Time (T) =?

Now using the formula of Simple Interest,

I = P + R+ T

3300 = 5000 + 75/1000 + T

3300/375 = T

T = 8.80 years

What is simple interest?

The daily interest rate, the principle, and the number of days between payments are multiplied to determine simple interest.

Consumers who pay their loans off on time or ahead of schedule each month benefit from simple interest.

Simple interest loans are frequently used for auto loans and short-term personal loans.

Simple interest is calculated by multiplying the principal by the time, interest rate, and time period. "Simple Interest = Principal x Interest Rate x Time" is the written formula.

The straightforward interest computation offers a very fundamental perspective on interest. It serves as a general introduction to the idea of interest. In the actual world, the processes used to calculate interest—whether you're earning it or paying it—are typically more intricate.

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Answer:

The opposite of 25 degrese is -25 degrese.

Step-by-step explanation:

The opposite 25 degrees will be 205 degrees.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

For the opposite angle, add 180° to the given angle.

The opposite 25 degrees will be

⇒ 25° + 180°

⇒ 205°

The diagram is given below.

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Computing the total number of counters in the class as 1,108, the mean number of counters that the 46 children have is 24.

The mean refers to the average value.

The average is the quotient of the total value divided by the number of items in the data set.

The number of boys in the class = 26

The number of girls in the class = 20

The total number of boys and girls in the class = 46

The mean number of counters that the boys have = 28

The total number of counters that the boys have = 728 (28 x 26)

The mean number of counters that the girls have =19

The total number of counters that the girls have = 380 (19 x 20)

The total number of counters that the class has = 1,108 (728 + 380)

The average or mean number of counters in the class = 24 (1,108 ÷ 46)

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Answer:

answer is J because if we lay out the information we will understand it

The system of equations represents the charge for tickets for this condition is given by: Option J: 3x + 4y= 235, 4x + 5y = 305

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

We're specified that:

Total charge for 3 adults and 4 children = Ticket price for 3 adults + Ticket price for 4 children= \(x + x + x + y + y + y + y = 3x + 4y = 235\) (in dollars)

(We don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)

Similarly, we get:

Total charge for 4 adults and 5 children = Ticket price for 5 adults + Ticket price for 5 children= \(x + x + x + x + y + y + y + y + y = 4x + 5y = 305\) (in dollars)

Thus, we got a system of equations in x and y as:

\(3x + 4y= 235\\4x + 5y = 305\) (Option J)

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Answer:

(- 3, 1.5)

--------------------------

Given system:

The first expression is ready to be substituted as no further operation is required to simplify it.

Find x:

-1 does not equal 0, the equation is not true for any value of "a". This means that there is no value of "a" for which the function f(x) is continuous at x = 1.

To determine the value of "a" for which the function f(x) is continuous at x = 1, we need to check if the left-hand limit and the right-hand limit of f(x) as x approaches 1 are equal, and if the value of f(x) at x = 1 is equal to these limits.

First, let's calculate the left-hand limit of f(x) as x approaches 1. For x < 1, the function is given by f(x) = (ax² - 1). To find the left-hand limit, we substitute x = 1 into this expression:

lim(x→1-) f(x) = lim(x→1-) (ax² - 1) = a(1²) - 1 = a - 1.

Next, let's calculate the right-hand limit of f(x) as x approaches 1. For x > 1, the function is given by f(x) = (a(x² - 2x + 1)). Substituting x = 1 into this expression, we have:

lim(x→1+) f(x) = lim(x→1+) (a(x² - 2x + 1)) = a(1² - 2(1) + 1) = a(1 - 2 + 1) = a.

For the function f(x) to be continuous at x = 1, the left-hand limit and the right-hand limit should be equal. Therefore, we have:

a - 1 = a.

To solve this equation for "a," we subtract "a" from both sides:

-1 = 0.

Since -1 does not equal 0, the equation is not true for any value of "a". This means that there is no value of "a" for which the function f(x) is continuous at x = 1.

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Answer:

x ≥ 8

Step-by-step explanation:

it can help

Answer:

10:21

Step-by-step explanation:

It is found that ∠ABC ~ ∠DBE by AAA similarity criterion.

ΔABC ~  ΔDEF  only if ratio of two sides of ΔABC and corresponding two sides of ΔDEF is equal and the angle included in both sides are congruent.

Consider the two sides of ΔABC are AB and BC, and that of DEF be DE and EF, then

∠ABC = ∠DBE

Given that : AC ║ DE

then Angle B = Angle B

since AC ║ DE (given)

Angle E = Angle C  ...( Corresponding angles)

similarly, Angle D = Angle A ...( Corresponding angles)

therefore, ∠ABC ~ ∠DBE (by AAA similarity criterion)

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The possible number of 3 -letter words that can be formed with given conditions.

(a) No condition is imposed: 343

(b) No letter can be repeated in a word: 210

(c) Each word must begin with the letter 'a' : 49  

(d) The letter 'c' must be at the end: 49

(e) The second letter must be a vowel: 98

In this question we have been given that 3 -letter words' are formed using the letters a, b, c, d, e, f, g.

We need to find the possible number of 3 -letter words that can be formed with given conditions.

(a) No condition is imposed.

the possible number of 3 letters words would be,

7³ = 343

(b) No letter can be repeated in a word.

Using the formula of Permutation,

^{7}P_3 = 7!/(7 - 3)!

             = 210    

(c) Each word must begin with the letter a.  

If each word begins with letter 'a' there would be possible combinations of remaining 6 letters at 2nd and 3rd position of 3-letter word.

So, the possible number of 3 letters words would be,

7² = 49  

(d) The letter c must be at the end.

If each word ends with letter c there would be possible combinations of remaining 6 letters at 1st and 2nd position of 3-letter word.

So, the possible number of 3 letters words would be,

7² = 49  

(e) The second letter must be a vowel.

In the 3 letter word, the second letter must be vowel which is either a or e.

So, the possible number of 3 letters words would be,

49 + 49 = 98

Therefore, the possible number of words would be (a) No condition is imposed: 343

(b) No letter can be repeated in a word: 210

(c) Each word must begin with the letter 'a' : 49  

(d) The letter 'c' must be at the end: 49

(e) The second letter must be a vowel: 98

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The complete question is:

3 -letter words'' are formed using the letters a, b, c, d, e, f, g. How many such words are possible for each of the following conditions?

(a) No condition is imposed.

(b) No letter can be repeated in a word.

(c) Each word must begin with the letter a.

(d) The letter c must be at the end.

(e) The second letter must be a vowel.

Answer:

tththtfhhtfhtfttfh

Step-by-step explanation:

tfhtfh

Answer:

0

Step-by-step explanation:

The question is asking for any number between -5 and 2, so you can choose -4, -3, -2, -1, 0, or 1

The result of the formula  \(12 - 3y2 + (v=4) / (2y - 2)\) for y = 3 is  \(-29/2\)  .

When \(y = 3\) is used, the value of the expression \(12 - 3y2 + (v=4) / (2y - 2)\)  has a value of  \(-29/2\) .

To analyse an algebraic expression is to determine its value when a certain number is used in lieu of the variable. To evaluate the expression, we first replace the variable with the given number, then we use the order of operations to simplify the expression.

If  \(y = 3\) , we can insert it into the expression & simplify as follows to evaluate   \(12 - 3y2 + (v=4) / (2y - 2)\) for  \(y = 3\)  .

\(12 - 3(3)^2 + (√4) / (2(3) - 2)\) (y = 3 replacement)

\(12 - 27 + 2 / 4\s-15 + 1/2\s-29/2\)

Therefore, The result of the formula  \(12 - 3y2 + (v=4) / (2y - 2)\) for y = 3 is  \(-29/2\)  .

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Answer:

Here we only need to analyze the vertical motion of the ball.

First, because the ball is in the air, the only force acting on the ball will be the gravitational force (we are ignoring air resistance), then the acceleration of the ball is equal to the gravitational acceleration, so we have:

a(t) = -32 ft/s^2

where the negative sign is because this acceleration is downwards.

To get the velocity equation, we need to integrate over the time, so we get:

v(t) = (-32 ft/s^2)*t + V0

where V0 is the initial velocity of the ball. In this case, the initial velocity of the ball will be the velocity that the ball had when it was dropped, which should be the same as the velocity of the hot air ballon, so we have:

V0 = 12 ft/s

Then the velocity equation of the ball is:

v(t) = (-32 ft/s^2)*t + 12 ft/s

To get the position equation we integrate again:

p(t) = (1/2)*(-32 ft/s^2)*t^2 + (12 ft/s)*t + H0

Where H0 is the initial height. We know that the ball was released at the height of 1120 ft, then we have:

H0 = 1120 ft.

Then the position equation is:

p(t) = (-16 ft/s^2)*t^2 + (12 ft/s)*t + 1120ft

a)  How many seconds after its release will the ball strike the ground?

The ball will strike the ground when its position equation is equal to zero, then we need to solve:

p(t) = 0 ft = (-16 ft/s^2)*t^2 + (12 ft/s)*t + 1120ft

This is just a quadratic equation, the solutions are given by Bhaskara's formula, so the solutions for t are:

\(t = \frac{- 12ft/s \pm \sqrt{(12 ft/s)^2 - 4*(-16ft/s^2)*(1120 ft)} }{2*(-16ft/s^2)}\)

We can simplify that to get:

\(t = \frac{-12ft/s \pm 268ft/s}{-32ft/s^2}\)

So we have two solutions:

\(t = \frac{-12ft/s + 268ft/s}{-32ft/s^2} = -8s\)

\(t = \frac{-12ft/s - 268ft/s}{-32ft/s^2} = 8.75s\)

The negative solution does not make sense, then the correct solution is the positive one.

We can conclude that the ball will hit the ground after 8.75 seconds.

b)  At what velocity will it hit the ground?

We already know that the ball strikes the ground 8.75 seconds after it is released.

The velocity at it hits the ground is given by the velocity equation evaluated in that time:

v(8.75 s) = (-32 ft/s^2)*8.75s + 12 ft/s = -268 ft/s

Area of sector = 8π cm²

For angle in degrees:

Area of sector = θ/360 × πr²

For angle in radians:

Area of sector = 1/2 r²θ

radius = 4 cm

angle of the sector = π radian

Area of sector = 1/2 × (4)² × π = 16/2 × π

Area of sector = 8π cm²

Answer:

  n = 27

  m = 36

Step-by-step explanation:

The isosceles triangle with n° as its base angle will have a sum of angles that is 180°.

  2n° +126° = 180°

  n +63 = 90 . . . . . . divide by 2°

  n = 27 . . . . . . . . . subtract 63

__

The external angle 126° is the sum of the remote interior angles m° and 90°.

  m° +90° = 126°

  m = 36 . . . . . . . . . . divide by °, subtract 90

I don't think I can do it. sorry

Questions:

1. 6 is not more than z.

2. The value of w is at least 12

3. Josiah plans to complete his 50 minutes of Mappers practice in 5 days and split the practice up evenly. Which inequality can he use to decide how many minutes he must complete each day?

4. Amy has $35.75 for her visit to the zoo. She must pay $7.25 for admission and wants to feed as many animals as she can. Food for the animals costs $1.25 each. What inequality represents the largest number of animal food that Amy can buy?

5. Jacob spent $40 on supplies to make 100 shirts for a baseball team fundraiser. Solve the inequality to help him decode how much to charge for each shirt to make a profit of more than $350.

100t-40 is greater than 350

Answers:

1. 6 is less than or equal to z (2nd option)

2. w is greater than or equal to 12 (1st option)

3. 5x is greater than or equal to 50 (1st option)

4. 1.25x + 7.25 is less than or equal to 35.75 (4th option)

5. t is great than 39 (3rd option)

35 is a reasonable prediction of the number of times he will select 2 yellow socks?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain to occur. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

In probability theory, an event is a set of outcomes or a subset of a sample space. In simpler terms, an event is anything that can happen, or any possible outcome of an experiment or observation. An event can be a single outcome, or it can consist of multiple outcomes.

In the given question,

The theoretical probability of drawing two yellow socks with replacement from a bag containing equal numbers of red, yellow, green, blue, and purple socks is:

P(drawing two yellow socks) = P(yellow) * P(yellow) = (1/5) * (1/5) = 1/25

So, the probability of drawing two yellow socks from the bag in any given trial is 1/25.

To predict the number of times the child will select two yellow socks in 175 trials, we can use the formula for the expected value of a discrete random variable:

E(X) = n * p

where E(X) is the expected number of times the event occurs, n is the number of trials, and p is the probability of the event occurring in a single trial.

In this case, n = 175 and p = 1/25. So,

E(X) = 175 * (1/25) = 7

Therefore, a reasonable prediction of the number of times the child will select two yellow socks in 175 trials is 7. Since this prediction is not one of the answer choices, the closest option is 35, which is more than five times the expected value. However, this is within the range of possible outcomes due to the random nature of the experiment.

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Answer:

49°

Step-by-step explanation:

since its a right angle that just subtract from 90

90-41= 49

Answer:

49

Step-by-step explanation:

Because of the square at O, we know that angle XOZ is a right angle and is 90°.

Since angle XOZ is made up of angle XOY and angle YOZ, we can subtract the measure of angle XOZ by the measure of angle XOY to find the measure of angle YOZ, which is equal to x.

x = 90 - 41

x = 49

Answer:

5, 10 and 13

Step-by-step explanation:

5 - 3 = 2 < 10

10 - 3 = 7 < 10

13 - 3 = 10 = 10

Answer:

x = 5

Step-by-step explanation:

Remove the radical by raising each side to the index of the radical.

x = 5

This was done assuming that 2x-1 was under the radical and that +2 wasn't.

For expression to be polynomial all the exponent must be non negative.

For first option,

It is not a polynomial expression.

For second option

No negative exponent, so it is polynomial equation.

For third option,

No negative exponent, so it is polynomial equation.

For fourth option,

It is not a polynomial expression.

So option B and C is correct option.

To better understand the relationship between education level and organic produce sales, we need to have data on these variables.

The data would typically be in the form of a table or a graph, with education level on one axis and organic produce sales on the other. Once we have the data, we can look at the pattern of the points to determine the relationship between education level and organic produce sales. If there is a positive relationship between the two variables, then as the education level increases, we would expect to see an increase in organic produce sales. This positive relationship could be represented by a line that slopes upward from left to right on a graph.

The slope of the line represents the rate of change of organic produce sales with respect to education level. A steep slope would indicate that even small changes in education level lead to significant changes in organic produce sales, while a shallow slope would suggest that changes in education level have little effect on organic produce sales.

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The area of the space available for onions is:n12 square feet - 0.12x square feet. number of onion bulbs Mark can plant is: (12 - 0.12x) / y

What is percentage?

Percentage is a way of expressing a number or proportion as a fraction of 100. It is represented by the symbol "%".

Mark has marked off a certain percentage of the 12 square feet to save for a tomato plant, which means the remaining space will be used for onions.

Let's say Mark marks off x% of the space for the tomato plant. That means he will have (100-x)% of the space for onions.

The area of the space reserved for the tomato plant is:

12 square feet x (x/100) = 0.12x square feet

The area of the space available for onions is:

12 square feet - 0.12x square feet

Let's say each onion bulb needs y square feet of room to grow. Mark can plant as many onion bulbs as can fit in the remaining space, which is:

(12 square feet - 0.12x square feet) / y

So the number of onion bulbs Mark can plant is:

(12 - 0.12x) / y.

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(a) The value of the z-score for the 6.4 fluid ounce orange is -1.64

(b) The value of the z-score for the 3.11 fluid ounce orange is -4.63

From the question, we have the following parameters that can be used in our computation:

Mean = 8.2

Standard deviation = 1.1

The values of the z-scores is calculated as

z = (z - Mean)/Standard deviation

So, we have

z = (z - 8.2)/1.1

When the score is 6.4, we have

z = (6.4 - 8.2)/1.1

Evaluate

z = -1.64

Recall that

z = (z - Mean)/Standard deviation

So when the score is 3.11, we have

z = (3.11 - 8.2)/1.1

Evaluate the expression

z = -4.63

Hence, the values of the z-scores are -1.64 and -4.63

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