Sakura speaks 150150150 words per minute on average in hungarian, and 190190190 words per minute on average in polish. she once gave cooking instructions in hungarian, followed by cleaning instructions in polish. sakura spent 555 minutes total giving both instructions, and spoke 270270270 more words in polish than in hungarian. how long did sakura speak in hungarian, and how long did she speak in polish?

Answer:

Refer attachment.

Step-by-step explanation:

Given: Equation as 4 ≤ x

We have to plot the graph for that represents the given equation 4 ≤ x.

Consider the given equation 4 ≤ x.

It can be read as x takes values which is greater than and equal to 4.

So, the graph of this equation 4 ≤ x is given as shown below.

The improper fraction number 20/6 is converted into a mixed fraction number as 3 ¹/₃.

The mixed fraction number is the combination of the whole number and the proper fraction number. In a proper fraction number, the numerator is smaller than the denominator.

The improper fraction is 20/6.

Convert the improper fraction into a fraction number.

⇒ 20 / 6

⇒ 10 / 3

⇒ (9 + 1) / 1

⇒ 9/3 + 1/3

⇒ 3 ¹/₃

The improper fraction number 20/6 is converted into a mixed fraction number as 3 ¹/₃.

More about the mixed fraction number link is given below.

https://brainly.com/question/29019463

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The answer is 9cm

SA = r + r 2

452.16 m 2 = (3.14)(6 m)(x) + (3.14)(6 m) 2

452.16 m 2 = (3.14)(6 m)(x) + (3.14)(36 m 2)

452.16 m 2 = (18.84 m)x + 113.04 m 2

339.12 m 2 = (18.84 m)x

18 m = x

Answer:

Option D. 9 cm

Step-by-step explanation:

Surface area of the given figure is S = 243 cm² and we have to find the slant height.

We can see this figure comprises of 1 square and 4 triangles.

Let the slant height of the given triangles is L.

So area of one triangle = [tex]\frac{1}{2}(Slant height).(Base)[/tex]

and the area of square = side² = 9² = 81 cm²

Now surface area of total figure = Area of square + 4×(area of a triangle)

[tex]243=9^{2}+\frac{4}{2}(9.L)[/tex]

243 = 81 + 2×9L

18L = 243 - 81 = 162

[tex]L=\frac{162}{18}[/tex]

L = 9 cm

Therefore Option D. 9 cm is the correct answer.

The required number would be x ≤ 2 which represents the number divided by three less two is at most two.

Inequality is defined as mathematical statements with at least two terms including non-equal variables or integers.

What is algebra?

Algebra is the study of mathematical symbols, whereas logic is the manipulation of those symbols.

The number divided by three less two equals the number specified in the question.

Let the required number would be x

As per the given condition, translate the phrase into an algebraic inequality as:

⇒ x/(3 - 2) ≤ 2

Apply the subtraction operation, and we get

⇒ x/1 ≤ 2

⇒ x ≤ 2

Therefore, the required number would be x ≤ 2.

To learn more about the inequalities click here:

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Answer:

62.4

Step-by-step explanation:

Answer:

Total number of boots sold = 44

Step-by-step explanation:

Ratio of football, rugby and hiking boots sold = 6 : 2 : 3

24 pairs of football boots were sold.

That is

            6 n  = 24

               n = 4.

Number of rugby boots sold = 2 n = 2 x 4 = 8

Number of hiking boots sold = 3 n = 3 x 4 = 12

Total number of boots sold = 6n + 2n + 3n = 11n = 11 x 4 = 44

Total number of boots sold = 44

Answer:

y= -50x^2+1,150x+14,400

Step-by-step explanation:

fitness center currently has 320 members. Monthly membership fees are $45. The manager of the fitness center has determined that each time the membership fees increase by $5, approximately 10 members leave and go to a different gym.

LEt x be the number of price increases of $5

y is the revenue

Revenue= membership fee * members

for x number of increase in fee by 5  then member ship fee becomes 45+5x

approximately 10 members leave, so members becomes (320-10x)

y = (45+5x) (320-10x)

Multiply it using FOIL method

y=45 * 320 +45*(-10x) + 5x * 320 + 5x * (-10x)

y=14400 - 450x + 1600x - 50x^2

Combine like terms

y= -50x^2+1150x+14400

  75p + 150(10) = 100(p + 10)

Mixture problems such as this can be solved by writing an equation that expresses the total cost of the mixture in terms of the costs of the constituents.

Here, the cost (in cents) of p pounds of cashews will be 75p. The cost (in cents) of the 10 pounds of pecans at $1.50 per pound will be 150(10). The total cost of p+10 pounds of the mixture is desired to be 100(p+10).

The equation of the 1st selection is appropriate. It tells that the prices of the contributing nuts add to give the price of the mixture, just as you want:

  75p + 150(10) = 100(p+10)

The correct equation to solve for the pounds of cashew nuts, denoted as p, that must be mixed with pecans to get a mixture worth $1.00 a pound is: 75p + 150(10) = 100(p + 10).

We are trying to determine how many pounds of cashew nuts that are worth 75 cents a pound must be mixed with 10 pounds of pecans worth $1.50 a pound to create a mixture worth $1.00 a pound. Let's denote the pounds of cashew nuts needed as p. The respective values of each type of nut are included in calculating the total value of the mix. Therefore, the value of the cashews (at 75 cents per pound) plus the value of the pecans (at $1.50 per pound) should equal the value of the desired mixture (at $1.00 per pound). The correct equation to use would be:

75p + 150(10) = 100(p + 10)

To solve for p, we multiply the cost per pound by the weight for each type of nut, then equate this to the cost per pound of the mixture multiplied by the total weight of the mixture. After solving this equation for p, we will know the required pounds of cashew nuts.

Answer:

The temperature on Sunday was 2.75 degrees Celsius.

Step-by-step explanation:

The temperature on Saturday was = [tex]6\frac{1}{2}[/tex] or 6.5 degree Celsius

The temperature on Sunday became [tex]3\frac{3}{4}[/tex] or 3.75 degrees colder.

When the temperature falls of it gets colder, this means the new temperature is less than the previous one. The lower the temperature, the more colder it is.

So, in the question, the temperature gets colder by 3.75 degrees, so the temperature must have been = 6.5-3.75 = 2.75 or [tex]2\frac{3}{4}[/tex] degrees Celsius.

Therefore, the temperature on Sunday was 2.75 degrees Celsius.

The probability that he got at least 2 questions correct is 0.756

Lets assume, the event of getting a question correct is P

As, each question has 4 answer choices and only one choice is correct,

So, P = [tex] \frac{1}{4} [/tex]

When
the probability of getting 1 success in 1 trial is p, then the probability of getting exactly x successes out of n trials is given by the
formula :

(ⁿCₓ )(P)ˣ (1-P)ⁿ⁻ˣ

Here the total number of questions is 10. So, n= 10

Stan needs to get at least 2 questions correct, that means he can get 2, 3, 4, 5, 6, 7, 8, 9 or 10 questions correct.

Now according to the formula,

P(x=2) = ¹⁰C₂ ([tex] \frac{1}{4} [/tex])² ([tex] 1- \frac{1}{4} [/tex])¹⁰⁻²

= ¹⁰C₂ [tex] (\frac{1}{16})(\frac{3}{4})^8 [/tex]

= 0.281567573

P(x=3) = ¹⁰C₃ ([tex] \frac{1}{4} [/tex])³ [tex] (\frac{3}{4})^7 [/tex]

= (120) ([tex] \frac{1}{4} [/tex])³ [tex] (\frac{3}{4})^7 [/tex]

= 0.250282287

P(x=4) = ¹⁰C₄ ([tex] \frac{1}{4} [/tex])⁴ [tex] (\frac{3}{4})^6 [/tex]

= (210)([tex] \frac{1}{4} [/tex])⁴ [tex] (\frac{3}{4})^6 [/tex]

= 0.145998001

P(x=5) = ¹⁰C₅ ([tex] \frac{1}{4} [/tex])⁵ [tex] (\frac{3}{4})^5 [/tex]

= (252) ([tex] \frac{1}{4} [/tex])⁵ [tex] (\frac{3}{4})^5 [/tex]

= 0.058399200

P(x=6) = ¹⁰C₆ ([tex] \frac{1}{4} [/tex])⁶ [tex] (\frac{3}{4})^4 [/tex]

= (210) ([tex] \frac{1}{4} [/tex])⁶ [tex] (\frac{3}{4})^4 [/tex]

= 0.016222000

P(x=7) = ¹⁰C₇ ([tex] \frac{1}{4} [/tex])⁷ [tex] (\frac{3}{4})^3 [/tex]

= (120) ([tex] \frac{1}{4} [/tex])⁷ [tex] (\frac{3}{4})^3 [/tex]

= 0.003089904

P(x=8) = ¹⁰C₈ ([tex] \frac{1}{4} [/tex])⁸ [tex] (\frac{3}{4})^2 [/tex]

= (45) ([tex] \frac{1}{4} [/tex])⁸ [tex] (\frac{3}{4})^2 [/tex]

= 0.000386238

P(x=9) = ¹⁰C₉ ([tex] \frac{1}{4} [/tex])⁹ [tex] (\frac{3}{4})^1 [/tex]

= (10) ([tex] \frac{1}{4} [/tex])⁹ [tex] (\frac{3}{4})^1 [/tex]

= 0.000028610

P(x=10) = ¹⁰C₁₀ ([tex] \frac{1}{4} [/tex])¹⁰

= 0.000000953

Now we will just add all the probabilities and get:

0.281567573 + 0.250282287+ 0.145998001+ 0.058399200+ 0.016222000+0.003089904+0.000386238+ 0.000028610 +0.000000953

= 0.755974766

= 0.756 (rounding to the nearest thousandth)

So, the probability that he got at least 2 questions correct is 0.756

Answer:

Step-by-step explanation:

C on edge Test

Final answer:

The binomial factor of the trinomial 3x^2 + 18x + 24 is 'x + 4', which corresponds to Option A.

Explanation:

The student is asking which binomial is a factor of the trinomial 3x2 + 18x + 24. To find a factor, you can either factor the trinomial directly or use the zero product property, which states that if a product equals zero, then at least one of the factors must be zero. Since we're looking for a binomial factor and not solving for x, we'll factor the trinomial.

Factors of 3x2 are 3x and x, and factors of 24 that add up to 18 (when multiplied by 3 or 1 from the 3x2 term) are 6 and 4. Thus, the trinomial can be factored as (3x + 4)(x + 6). So, the binomial that is a factor of the trinomial is x + 4, which is Option A.