A man came to the King and asked, "King, let me pick an apple from your garden." The King agreed to the request so the man went to the garden and saw that it was fenced off with three fences and that there was a gate in each fence. A guard stood next to each gate. "The King has allowed me to pick an apple from the garden," said the man to the first guard. "Go ahead," answered the guard, "but when you exit give me half of all the apples that you have, plus one more." The other two guards each said the same thing to the man. How many apples should the man pick in order to have one apple left for himself after he gives each of the guards all the apples they demanded?

Answer:

There were 76 childrens and 14 adults.

Step-by-step explanation:

Since the group has a total of 90 children and adults, then the sum of the number of adults with the number of children must be equal to 90 as shown below:

children + adults = 90

Since the total cost for their tickets was 548 then the number of children multiplied by the price of their ticket summed by the number of adults multiplied by the price of their ticket must be equal to that. We have:

5*children + 12*adults = 548

With these two equations we have a system of equations shown below:

children + adults = 90

5*children + 12*adults = 548

In order to solve this we will multiply the first equation by -5, and sum both equations we have:

-5*children - 5*adults = -450

5*children + 12*adults = 548

7*adults = 98

adults = 98/7 = 14

children + 14 = 90

children = 90 - 14 = 76

There were 76 childrens and 14 adults.

Answer:

more likely

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

One way to solve proportions is to cross multiply. If we name the unknown value x, then we can see that:

2x = 12(14)

2x = 168

x = 84

Another way to solve proportions is to ask, what number did you multiply the first numerator by to get the second numerator. In this case, what do you have to multiply 2 with to get 14. The answer is 7, so that means you must also multiply the first denominator by 7 to get the second denominator, or in this case, the unknown value. 12 x 7 = 84, so the missing number is 84.

Hope this helped! :)

Step-by-step explanation:

We have, Sorin hits a cricket ball straight up into the air. After 1.5 s, the ball is falling straight down with a speed of 6.5 m/s.

We want to find the initial vertical velocity of the ball.

The relation between initial speed, final speed, acceleration and time is given by using first equation of kinematics. Let v₀ is the initial speed. So,

[tex]v=v_o +at[/tex]

Here, v = -6.5 m/s, t = 1.5 s and a = -g

[tex]v_o=v-at\\\\v_o=v+gt\\\\v_o=-6.5+9.8\times 1.5\\\\v_o=8.2\ m/s[/tex]

So, the initial velocity of the ball is 8.2 m/s and the formula used is (1).

Answer:

- 220

Step-by-step explanation:

Add the 2 checks for 30 each.

30+30=60

Add 60 and 775.

755+60=815

That is how much you took out

Subtract.

595-815=-220

Answer:

9 unread pages

Step-by-step explanation:

Take the total number of pages and subtract the pages that have been read

55-46 = 9

There are 9 pages that are unread

Answer:

the answer in decimal form is 21.009

Answer:

= 21.009

Step-by-step explanation:

First change it to an improper fraction

= 1000 x 21 + 9

= 21009/ 1000

You then divide it by 1000 without leaving a remainder.

= 21.009

Answer:

Step-by-step explanation:

This question can be translated to:

"The manager of the drinking water service in my town creates a water tank in the highlands so that the water can reach the entire town. The cube-shaped shelter is 8 meters long. If the shelter is full, how many liters of water can it contain?"

As you can observe, the volumetric form is a cube with 8 meters long each edge.

We know the volume of a cube is defined as

[tex]V=l^{3}[/tex]

Where [tex]l=8 \ m[/tex], replacing this value, we have

[tex]V=(8 \ m)^{3} \\V=512 \ m^{3}[/tex]

Therefore, the shelter can contain 512 cubic meters of water.

Answer:

That isn’t possible

Step-by-step explanation:

Answer:

Image of the point (-4, -10) after reflection will be (-4, 10).

Step-by-step explanation:

Point N(7, 8) when reflected across x-axis, coordinates of the image point become N'(7, -8).

Rule for the reflection over the x-axis is

(x, y) → (x, -y)

Under the same reflection or following the same rule rule,

(-4, -10) → (-4, +10)

Therefore, image of the point (-4, -10) after reflection will be (-4, 10)

Answer:

-2.8

Step-by-step explanation:

I solved it thats how

Answer:

D) Each distribution has the same mean and a different standard deviation.

Step-by-step explanation:

just took test edg2020

The graph below shows three different normal distributions.

D) Each distribution has the same mean and a different standard deviation.

The spread in the provided normal curves exists due to various standard deviations. The mean for all three curves lies at the center of the curve.

Therefore, each distribution contains the same mean and a separate standard deviation.

Therefore, the correct answer is option (D) "Each distribution has the same mean and a different standard deviation."

To learn more about standard deviation and mean

https://brainly.com/question/10924415

#SPJ2

Answer:

2,3,5,7,11,13,17,19,23,29

Step-by-step explanation:

Answer:

Hey!

All the Prime numbers under 30 are...

2, 3, 5, 7, 11, 13, 17, 19, 23, 29

Step-by-step explanation:

HOPE THIS HELPS!!

Answer:

= £135

Step-by-step explanation:

Original price = 100%

Percentage increase = 20%

New price = 100% + 20% = 120%

If 120% = £162

What about 100% = ?

= (100 x 162) ÷ 120

= 16200 ÷ 120

= £135

Answer:

sh.129.60

Step-by-step explanation:

20%...€162

€162 times 80 over 100

€81 times 8....over 5

€648 divide 5

......ans...... €129.60

Step-by-step explanation:

surface area = (2*0.5*12*8) + (2*10*10) + (12*10)

= 96 + 200 + 120

= 416 cm^2

Answer:

The answer is 9.72 .

Step-by-step explanation:

You can do it by elaborating :

2.43×4 = (2.00×4) + (0.4×4) + (0.03×4)

= 8.00 + 1.6 + 0.12

= 9.72

Answer:

y = 5x + 4

Step-by-step explanation:

Equation of a line passing through a point (x', y') and having slope 'm' is represented by,

y - y' = m(x - x')

If the point through which the given line is passing is (0, 4) and slope of the line is '5'

Equation of the line will be

y - 4 = 5(x - 0)

y = 5x + 4

Therefore, equation of given line is y = 5x + 4

Answer:

y=4x-1

Step-by-step explanation:

This is right i promise, also add me on ig melanin_.leesha

Answer: 14.4

Step-by-step explanation: To find the third side of the triangle, we have to  use the pythagorean theorem...

a² + b² = c²

a² + 4² = 15²

a² + 16 = 225

225 - 16 = 209

[tex]\sqrt{209}[/tex]

a ≈ 14.4 (If rounded it would be 14)

I hope this helps!

Answer:

[tex]\frac{25}{64}[/tex]

Step-by-step explanation:

Blue Marbles =5

Pink Marbles =3

Total =3+5=8

Probability of drawing two marbles with replacement

=P(First Blue Marble AND Second Blue Marble)

=P(First Blue Marble) X P(Second Blue Marble)

[tex]=\frac{5}{8}X \frac{5}{8}\\\\=\frac{25}{64}[/tex]

Answer:

30

Step-by-step explanation:

6 x 5 is 30.

Answer:

E. 57 feet

Step-by-step explanation:

If you draw a rectangle and label the long side 5+2x, and the short side x, then that represents the rectangular floor.

The 2x is "twice the width".

The 5 added to the 2x is "5 feet longer than"

The x is the width of the room.

If the equation for the whole perimeter is 2(5+2x)+2x=166 <-(The perimeter)

                                     (Both of the long sides)^       ^(Both of the short sides)

Then we need to solve for x.

[tex]2(5+2x)+2x=166\\10+4x+2x=166\\10+6x=166\\6x=156\\x=26[/tex]

Next, we input the value we got into the equation 5+2x (The length of one side) and solve

[tex]5+2x\\5+2(26)\\5+52\\57[/tex]

So the length of the room is 57 feet.

Hope this helps!

Answer:

(0, 8)

Step-by-step explanation:

i just got this question

Answer:

(-9,0)

Step-by-step explanation:

To find the x intercept, set y=0 and solve for x

f(x) = (x-8) (x+9)

0 = (x-8) (x+9)

Using the zero product property

x-8 =0    x+9=0

x=8    x=-9

(8,0)    (-9,0) are the x intercepts

Answer:

A pizza with 8 slices has price: 12$, then each slice cost:

12/8 = 1.5$

Hope this helps!

:)

Answer:

$1.50

Step-by-step explanation:

Total cost of pizza: $12

The pizza has 8 slices, so 12 divided by 8 will give the cost of one slice.

12/8 = 1.50

one slice of pizza costs $1.50

Answer: 25

Step-by-step explanation:

they are corresponding angles

Answer:

[tex](x+9.3)^{2} +(y-4.1)^{2} = 13[/tex]

Step-by-step explanation:

Answer:

(x+9.3)^2+(y-4.1)^2=13

Step-by-step explanation:

Answer:

Female:

Total 26

Male:

Rovers 9

City 8

Total 24

Total (along the bottom):

Rovers 20

United 10

Answer:

4x +2y

Step-by-step explanation:

4x-3(x-2y)+ .5(6x-8y)

Distribute

4x -3x+6y +3x -4y

Combine like terms

4x-3x+3x  +6y-4y

4x +2y

Answer:

.25 kilometers

Step-by-step explanation:

Divide the length value by 1000 when going from meters to kilometers

Answer:

Ddddddddddddddddddddddddd

Answer:

x=-3

Step-by-step explanation:

This is a vertical line, vertical lines have a slope of undefined

They are of the form

x = something

In this case x= -3