On Sunday afternoon, the ratio of adults to children at the park was 1 to 3. There were 48 children at the park.
How many adults were at the park​

Answer:

3

Step-by-step explanation:

Answer:

[tex]4.82\cdot 10^{-4}[/tex]

Step-by-step explanation:

In a deck of cart, we have:

a = 4 (aces)

t = 4 (three)

j = 4 (jacks)

And the total number of cards in the deck is

n = 52

So, the probability of drawing an ace as first cart is:

[tex]p(a)=\frac{a}{n}=\frac{4}{52}=\frac{1}{13}=0.0769[/tex]

At the second drawing, the ace is not replaced within the deck. So the number of cards left in the deck is

[tex]n-1=51[/tex]

Therefore, the probability of drawing a three at the 2nd draw is

[tex]p(t)=\frac{t}{n-1}=\frac{4}{51}=0.0784[/tex]

Then, at the third draw, the previous 2 cards are not replaced, so there are now

[tex]n-2=50[/tex]

cards in the deck. So, the probability of drawing a jack is

[tex]p(j)=\frac{j}{n-2}=\frac{4}{50}=0.08[/tex]

Therefore, the total probability of drawing an ace, a three and then a jack is:

[tex]p(atj)=p(a)\cdot p(j) \cdot p(t)=0.0769\cdot 0.0784 \cdot 0.08 =4.82\cdot 10^{-4}[/tex]

Answer:

They are 261.96 meters apart.

Step-by-step explanation:

From the question, considering a North, East, South and west pole, Gustavo ran 23° above the east horizontal, while Aiden ran 33° below the east horizontal.

Thus, the total angle between them is 23 + 33 = 56°.

Therefore, let the distance between them be c and we can calculate that using the cosine law. Thus,

c² = a² + b² – 2ab cos θ

Where a and b are distances travelled respectively by Gustavo and Aiden. While θ is the angle between them.

Thus,

c² = 300² + 250²– 2(300) (250)cos 56

c² = 90000 + 62500 - 83878.9355

c² = 68621.0645

c = √68621.0645

c = 261.96 m

They are 261.96 meters apart.

Answer:

56 degrees

Step-by-step explanation:

Khan academy

Answer:

[tex]\theta=162^0[/tex]

Step-by-step explanation:

[tex]\text{Circumference of a circle}=2\pi r[/tex]

Circumference of the Circle =10

[tex]\text{If the length of an arc}=\dfrac{9}{2}[/tex]

[tex]\text{Length of an arc}=\dfrac{\theta}{360}X2\pi r[/tex]

Therefore:

[tex]\dfrac{9}{2}=\dfrac{\theta}{360}X10\\\dfrac{\theta}{360}=\dfrac{9}{2}\div 10\\\dfrac{\theta}{360}=\dfrac{9}{20}\\$Cross Multiply\\20\theta=9X360\\\theta=(9X360)\div 20\\\theta=162^0[/tex]

The central angle of the arc is 162 degrees.

Answer:

(x+10)(x-10)

Step-by-step explanation:

See the explanation on your other problems;

Quickly:

x^2 = x timex x

-100 = 10 x -10

(x+10)(x-10)

Answer:

x = 12

Step-by-step explanation:

[tex]\frac{xy}{rs}[/tex] = [tex]\frac{xz}{rt}[/tex]

[tex]\frac{5x - 3}{3x + 2} = \frac{60}{40}[/tex]

20x - 12 = 18x + 12

2x = 24

x =  12

The value of x from the given similar triangles is 12.

Given that, ∆XYZ ~ ∆RST.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

From ∆XYZ and ∆RST, we have

XY/RS = XZ/RT

⇒ (5x-3)/(3x+2)= 60/40

⇒ (5x-3)/(3x+2)=3/2

⇒ 2(5x-3)=3(3x+2)

⇒ 10x-6=9x+6

⇒ 10x-9x=6+6

⇒ x=12

Hence, the value of x from the given similar triangles is 12.

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Answer:

25%

Step-by-step explanation:

20 - 15 = 5

5 / 20 = .25

.25 x 100 / 100 =

25/100

25%

Feel free to let me know if you need more help! :)

Answer:

Quadratic equations will have two real number solutions that are

A. 0 = 2x2 – 7x – 9

C. 0 = 4x2 – 3x – 1

D. 0 = x2 – 2x – 8

In a quadratic equation, the variable x is an unknown value, for which we need to find the solution. Examples of quadratic equations are: 6x² + 11x – 35 = 0, 2x² – 4x – 2 = 0, 2x² – 64 = 0, x² – 16 = 0, x² – 7x = 0, 2x² + 8x = 0 etc.

Solving Quadratic Equations

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The measure of angle 1 in the rhombus is determined as 74⁰.

How to calculate the measure of angle 1?

The measure of angle 1 is calculated by applying the following formula as shown below;

Each diagonal of a rhombus bisects the angle through which it passes.

Also, the opposite angles of a rhombus are equal.

The missing angles of the rhombus is calculated as follows;

(32 + 32) + 4(∠1) = 360 (sum of angles in a rhombus)

64 + 4∠1 = 360

4∠1 = 360 - 64

4∠1 = 296

∠1 = 296 / 4

∠1 = 74⁰

From the diagonal of the rhombus given, we calculated the value of angle 1 as ∠1 = 74⁰.

Answer:

if lines are parralel then corresponding angles are congruent and alternate exterior angles are congruent. if lines are parralel, them same side interior angles are suplementary and same side exterior angles are suplementary

Answer:

When two lines are crossed by another line (called the Transversal): Alternate Exterior Angles are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal. In this example, these are two pairs of Alternate Exterior Angles: a and h.

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

1.6:8*100 =

(1.6*100):8 =

160:8 = 20

Now we have: 1.6 is what percent of 8 = 20

Question: 1.6 is what percent of 8?

Percentage solution with steps:

Step 1: We make the assumption that 8 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=8$.

Step 4: In the same vein, $x\%=1.6$.

Step 5: This gives us a pair of simple equations:

$100\%=8(1)$.

$x\%=1.6(2)$.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have  

{100\%}{x}={8}{1.6}

Step 7: Taking the inverse (or reciprocal) of both sides yields

{100\%}={1.6}{8}

x=20

Therefore, $1.6$ is $20 of $8$.

Final answer:

To solve the system of equations, you can substitute the value of y in terms of x from the third equation into the first two equations.

Explanation:

The system of equations given is:

Y = ½x + 1

Y = -½x - x + 1

y = x - 1

To solve these equations, we can substitute the value of y in terms of x from the third equation into the first two equations:

Substituting y = x - 1 into Y = ½x + 1:

Y = ½(x - 1) + 1

Simplifying, we get:

Y = ½x - ½ + 1

Substituting y = x - 1 into Y = -½x - x + 1:

Y = -½(x - 1) - (x - 1) + 1

Simplifying, we get:

Y = -½x + ½ + 1

Therefore, the system of equations can be simplified to:

Y = ½x - ½ + 1

Y = -½x + ½ + 1

Answer:

23%

Step-by-step explanation:

use this image to help, leave comments if any questions

Answer:

It takes Lucas 9 minutes to wash the dishes

Step-by-step explanation:

In this question, we are tasked with calculating the number of minutes it will take Lucas to wash the dishes given the amount of time he spends on cleaning his room.

since we do not know the amount of time it will take, we can represent this with t

Now what information do we have? we are told that this time t multiplied by 8 will be equal to the time in minutes he takes to clean his room.

Hence, mathematically, we have 8t = 72 minutes

t = 72/8

t = 9 minutes

Answer:

16, and 32

Step-by-step explanation:

The common ratio are be multiply by 2.

Answer:

The distance of the foot of the ladder to the building is 14 ft.

Step-by-step explanation:

The length of ladder = 20 ft

Angle formed by ladder with level ground, θ = 46

We are required to find out the distance of the foot of the ladder from the building

The above question can be found out by using trigonometric relations as follows;

[tex]Cos\theta = \frac{Adjacent\, side \, to\, angle}{Hypothenus\, side \, of\, triangle}[/tex]

The adjacent side of the right triangle formed by the ladder the building and the ground is the distance of the foot of the ladder from the building

The hypotenuse side is the length of the ladder = 20 ft

Therefore;

Adjacent side of triangle = Hypotenuse × cosθ

∴ Distance of the foot of the ladder from the building = Hypotenuse × cosθ

Distance of the foot of the ladder from the building = 20 ft × cos(56)

Distance of the foot of the ladder from the building = 13.893 ft

To the nearest foot, the distance of the foot of the ladder to the building = 14 ft.

Answer:

The center is (0,-5) and the radius is 9

Step-by-step explanation:

The equation of a circle can be given by

(x-h)^2 + (y-k) ^2 = r^2

where (h,k) is the center and r is the radius

(x-0)^2 + (y- -5) ^2 = 9^2

The center is (0,-5) and the radius is 9

Answer:

Amount deposited into Lou's 401(k) each payday is $119.665

Step-by-step explanation:

Here we have gross income annual $41028

Payment frequency = Every two weeks

Number of payments (Pay days per annum)  = 12 × 2 = 24 payments annually

Amount payed on pay day = $41028/24 = $1709.5

Amount deducted from Lou's paycheck on payday = 4% of Pay = 0.04×$1709.5

∴ Amount deducted from Lou's paycheck on payday = $68.38

Amount employer matches = 3% of pay = 0.03 × $1709.5 = $51.285

Therefore, amount deposited into Lou's 401(k) each payday = $68.38  + $51.285

Amount deposited into Lou's 401(k) each payday = $119.665.

Answer:

$110.46

Step-by-step explanation:

Answer:

{13, 23, 11, 16, 15, 10, 26}

Step-by-step explanation:

The "middle" of a sorted list of numbers. To find the Median, place the numbers in value order and find the middle number. Example: find the Median of {13, 23, 11, 16, 15, 10, 26}. The middle number is 15, so the median is 15.

plzzzz lmk if it was right and give me the brainliest

THX so muchhhhh

Answer:

The answer would be the last one.  18, 15, 11, 14, 19, 6

Here's Why:

To find the median, you must first put these numbers in order from least to greatest.

Least ----> Greatest

6, 11, 14, 15, 15, 18, 19

The next step is to find the middle number. In this case, the middle number is 15, therefore, you're median is 15.

6, 11, 14, 15, 15, 18, 19

(: hope this answers your question

Answer:

Amara need to feed 909090 kg of  444 pet dragons each day.

Step-by-step explanation:

Given:

454545 Kg of meat among the 222 pet dragons.

To Find:

Kg of meat required for 444 pets.

Solution:

Here Total of 222 pets eat 454545 meat

Assume that each dragon eat same amount of kg of meat

So each dragon will eat =454545/222 kg of meat

=2047.5  kg of meat for one dragon

We have 444 dragons  so they will consume as

444*2047.5 kg of meat

=909090 k g of meat required  for the 444 dragons .

OR you can also try as ,

There are total 222 given pets and 444 to be calculated ,

So 444 is twice of 222

Hence requirement for meat will be twice so

222 requires 454545 kg of meat

Hence by relationship

444 will require twice of 454545 i.e

444 will require 909090 kg of meat.

Answer:

20747.5

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

multiply 60 by 0.9 and you get 54..?

Answer:

54

Step-by-step explanation:

0.1 is 10% of 1 and was subtracted off so we subtract 10% off 60 so 60 x 10% = 6

60 - 6 = 54

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The required total weight of the potato and onion is given as  5.79 Kg.

As given in the question, the potatoes beth brought weighed 3 kilograms and 420 grams. Her onions weighed 1,050 grams less than the potatoes.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Weight of the potatoes = 3 + 0.420 = 3.420 Kg
Weight of the onion  = weight of potato - 1.050
Weight of onion = 3.420 - 1.050
weight of onion = 2.370 Kg
Total weight = 3.42 + 2.37 = 5.79 Kg

Thus, the required total weight of the potato and onion is given as  5.79 Kg.

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Based on the results of the two-sample t-test, which yielded a p-value of 0.058 (larger than the significance level of 0.05), there isn't strong enough evidence to conclude that the mean delivery time from Japan to Texas is greater than that from Texas to Japan.

From the computer output of the two-sample t-test, we can see that the p-value given is 0.058. This p-value is used to determine the statistical significance of the results. Since the p-value is greater than the chosen significance level of 0.05, we fail to reject the null hypothesis. Keep in mind, that failing to reject the null hypothesis does not prove it to be true, it simply suggests that we do not have strong enough evidence against it.

Therefore, the conclusion that can be made from the data is: There is not convincing evidence that the mean delivery time from Japan to Texas is greater than the mean delivery time from Texas to Japan.

This means that while Frank and Lilly may have observed different delivery times, according to this data and the chosen significance level, those differences may as well be due to chance and not due to a true difference in mail delivery times.

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The two-sample t-test results indicate that there is not convincing evidence that the mean delivery time from Japan to Texas is greater than the mean delivery time from Texas to Japan. Thus, the difference in delivery times is not statistically significant at the 5% level.

To analyze the data collected by Frank and Lilly regarding the delivery times of their letters, a two-sample t-test was performed. The t-test results are summarized in the following way:

The P-value of 0.058 is greater than the significance level of 0.05, suggesting that there is not convincing evidence that the mean delivery time from Japan to Texas is greater than the mean delivery time from Texas to Japan. Therefore, we fail to reject the null hypothesis, meaning that the difference in delivery times is not statistically significant at the 5% level.

Answer:

  32

Step-by-step explanation:

  witch plus witch plus witch = 45   ⇒   witch = 45/3 = 15

  broom plus broom plus a broom = 21   ⇒   broom = 21/3 = 7

  spoon plus spoon plus spoon = 12   ⇒   spoon = 12/3 = 4

__

If we assume each witch on first line refers to a "loaded" witch that includes a broom and a spoon, then a "plain" witch is ...

  plain witch = witch - broom - spoon = 15 -7 -4 = 4

and the final total of interest is ...

  plain witch plus broom x spoon = 4 + 7 × 4 = 4 +28 = 32

Answer:

Step-by-step explanation:

Kyle has picked 5 1/3 bushels of apples

He want to pick b more bushels of apple to have 9 bushels in all

A) 5[tex]\frac{1}{3}[/tex] + b = 9 bushels

b) b = 9 - 5 [tex]\frac{1}{3}[/tex] = 3 [tex]\frac{2}{3}[/tex]

- Part A: The equation is [tex]\(\frac{16}{3} + b = 9\).[/tex]

- Part B: Kyle needs to pick [tex]\(3 \frac{2}{3}\)[/tex] more bushels of apples.

Let's break down the problem step by step.

Part A: Write an Equation

Kyle has already picked 5 1/3 bushels of apples. He wants to have a total of 9 bushels. We need to find out how many more bushels, b , he needs to pick.

First, convert the mixed number 5 1/3 into an improper fraction:

[tex]\[ 5 \frac{1}{3} = \frac{5 \times 3 + 1}{3} = \frac{15 + 1}{3} = \frac{16}{3} \][/tex]

Now we can write the equation for the total number of bushels he wants:

[tex]\[ \frac{16}{3} + b = 9 \][/tex]

Part B: Solve the Equation

To find b, we solve the equation:

[tex]\[ \frac{16}{3} + b = 9 \][/tex]

Subtract [tex]\(\frac{16}{3}\)[/tex] from both sides of the equation to isolate b :

[tex]\[ b = 9 - \frac{16}{3} \][/tex]

Convert 9 to a fraction with the same denominator as [tex]\(\frac{16}{3}\):[/tex]

[tex]\[ 9 = \frac{9 \times 3}{3} = \frac{27}{3} \][/tex]

Now perform the subtraction:

[tex]\[ b = \frac{27}{3} - \frac{16}{3} = \frac{27 - 16}{3} = \frac{11}{3} \][/tex]

Convert [tex]\(\frac{11}{3}\)[/tex] back to a mixed number if needed:

[tex]\[ \frac{11}{3} = 3 \frac{2}{3} \][/tex]

So, Kyle needs to pick:

[tex]\[ b = 3 \frac{2}{3} \text{ bushels} \][/tex]

Summary

- Part A: The equation is [tex]\(\frac{16}{3} + b = 9\).[/tex]

- Part B: Kyle needs to pick [tex]\(3 \frac{2}{3}\)[/tex] more bushels of apples.

Answer: correct answer is D

That is, If the average meal price increases by $1, the number of daily customers decreases by 18.

Step-by-step explanation:

Given that the linear model below represents this situation, where x is the average meal price (in dollars), and y is the number of daily customers.  Interpret the slope.

y = 437 - 18x

Since x = the average meal price.

and

y is the number of daily customers.

Let x = 1

Y = 437 - 18 = 419

If x = 2 then

Y = 437 - 36 = 401

The difference between the number of daily customers is

419 - 401 = 18

Therefore, If the average meal price increases by $1, the number of daily customers decreases by 18.

Answer:

5 [tex]\frac{5}{8}[/tex]

Step-by-step explanation:

A thirty minute TV program means that is the total.

If each commercial is 2 1/2 minutes long then we multiply that my three (for each of the times they show a commercial)

2 1/2 * 3 = 7 1/2 minutes (That's the commercials)

30 (Total) - 7 1/2 = 22 1/2 (That all the entertainment segments together)

Since there is 4 segments we divide 22 1/2 by 4

(22 1/2) / 4 = 5.625 or 5 and 5/8

Answer: Subtraction

Adding is the opposite of Subtraction

Multiplication is the opposite of Division