Ethan made goodie bags for his birthday party guests. He put the same amount of goodies in each bag. He had 48 pieces of candy, 8 yoyos, 16 toy cars, and a box of 24 pencils with silly erasers. Eight guests came to Ethan's party. The party was three hours long. Ethan and his guests spent the first half of the party playing games. Then they had cake and ice cream. After that, Ethan opened his presents. Then they all ran around like little monsters until it was time for the guests to go home at 4:30 pm .How many pieces of candy did each guest get?

Answer:

a)  

Step-by-step explanation:

We have been given a function . We are asked to find the domain of our given function.

We can see that our given function is a rational function and numerator of our given function is a square root.

To find the domain of our given function, we will find the number that will make our denominator 0 and the domain of square root function will be the values of x that will make our numerator non-negative.

Undefined points for our given function:

The domain of denominator is all values of x, where x is not equal to negative 4 and positive 6.

Non negative values for radical:

The domain of numerator is all value of x greater than or equal to negative

Upon combining real regions and undefined points for our given function, the domain of our given function will be all values of x greater than or equal to negative 1, where x is not defined for 6.

Therefore, domain of our given function is .

Answer:

B. 90°

Step-by-step explanation:

Quadrilateral inscribed in the circle with center O is a cyclic quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,

(b + d) + (32° + 58°) = 180°

b + d + 90° = 180°

b + d = 180° - 90°

b + d = 90°

Answer:

Estimate of crowd is 27456.

Step-by-step explanation:

Given that a square of 5 by 5 can have 13 students.

Area of a square = [tex]side^2[/tex] = 25

Area of 25 can have 13 students.

Now, it is given that 10 feet square are used for crowd.

Area of square of side 10 feet  = 100

So, area of 100 can have 13 [tex]\times[/tex] 4 = 52 people from crowd

Now, it is given that the parade route is 1 mile long.

1 mile = 5280 feet

1 mile = 528 [tex]\times[/tex] 10 feet

It means that there are 528 number of such squares on the 1 mile section of the parade route.

Kindly refer to the attached image as well.

So, number of people or the estimate of the size of crowd is:

528 [tex]\times[/tex] 52 = 27456

Answer:

Intensity = 2500/x^2

6.25 lumem

5 Feets

Step-by-step explanation:

Given the following :

Area (A) = 0.1x^2

Intensity, Energy and Area are related by the formular :

Intensity = power / Area

A) If 250 lumens of light energy is produced :

Intensity (I) = 250 / 0.1x^2

Intensity = 2500/x^2

x = distance

B) USING THE EQUATION :

1) What is the intensity of light on an object that is 20 feet from the spotlight source?

x = 20

Intensity = 2500/x^2

Intensity = 2500/20^2

Intensity = 2500/400

Intensity = 6.25 lumen

11) How far from the spotlight is an object that recieves 100 lumens of light per square foot?

Intensity = 100

100 = 2500 / x^2

100x^2 = 2500

x^2 = 2500/ 100

x^2 = 25

x = 5 Feets

Answer:

The correct statements are (a), (c) and (d).

Step-by-step explanation:

The information provided is:

The total charge for Elegance Home Architects, if the Nelsons choose them will be:

Total for Elegance = 75 × h = 75h.

Suppose  the Nelsons hire the design firm for 15 hours.

Total for Elegance = 75 × h = 75 × 15 = $1,125

Total for Rock = 500 + (50 × h) = 500 + (50 × 15) = $1,250

So, the  Elegance Home Architects will be cheaper.

Suppose  the Nelsons hire the design firm for 25 hours.

Total for Elegance = 75 × h = 75 × 25 = $1,875

Total for Rock = 500 + (50 × h) = 500 + (50 × 25) = $1,750

So, the Rock the House Digital Designs will be cheaper.

Thus, the correct statements are (a), (c) and (d).

Step-by-step explanation:

a no. is divisible by 4 if the last two digits are a mutiple of 4

Answer:

(i), (iii), (v).

Step-by-step explanation:

If a number is divisible by 4 then its last 2 digits are divisible by 4.

For example 23408 is because 08  is divisible by 4.

Answer:

the inverse is f(x) = 2x - 2

Step-by-step explanation:

Inverse operation in this equation is basically switching the x and y:

y = x/2 + 1

x = y/2 +1

x - 1 = y/2

2x - 2 = y

Answer:

1.44 pounds

Step-by-step explanation:

From the above question, we are told that:

The shop has 3 for 2 offer on chocolate bars going on .This means a customer can buy 2 chocolates get 1 free, for the price of 2 chocolates, a customer can get 3 chocolates.

If the price of 1 chocolate bar = 72p

2 chocolate bars =

72p × 2

= 144p

Hence, Sian spends 144p

We are asked to convert our answer to pounds

The symbol p represent pence in money form

Hence,

100p(pence) = 1 pound

144p(pence) = x

100p × x = 144p × 1

x = 144p/100p

x = 1.44 pounds

Therefore, Sian spends 1.44 pounds

Answer:

to be honest I'm not sure

Answer:

145 ft below sea level

Step-by-step explanation:

40 + 105 = 145

Answer:

145 feet

Step-by-step explanation:

Answer:

(4x + 5)(x² + 25)

Step-by-step explanation:

Given

4x³ + 5x² + 100x + 125 ( factor the first/second and third/fourth terms )

= x²(4x + 5) + 25(4x + 5) ← factor out (4x + 5) from each term

= (4x + 5)(x² + 25)

Answer:

Step-by-step explanation:

1.

[tex](3,1) and\:perpendicular \:to \: y = -x+1\\(3,1) = (x,y)\\m = -1\\In\: perpendicularism ; m_2 = \frac{-1}{m_1} \\m_2 = \frac{-1}{-1} \\m_2 =1\\y = mx+c\\1 = 1(3) +c\\1=3+c\\1-3=c\\-2 =c\\Substitute \:new \:values\:into\\y =mx+c\\y = 1x -2\\y = x-2[/tex]

2.

[tex](-1,7) =(x_1,y_1)\\\\5y = 4x+5\\\\Write\:in\:y=mx+c\:form\\\frac{5y}{5} = \frac{4}{5} x + \frac{5}{5} \\y = \frac{4}{5} x +1\\m = \frac{4}{5} \\\\y -y_1=m(x-x_1)\\y-7=\frac{4}{5} (x -(-1)\\y -7 = 4/5(x+1)\\y -7 = 4/5x +4/5\\\\y = \frac{4}{5} x+\frac{4}{5} +7\\\\y = \frac{4}{5} x +39/5[/tex]

Answer:

The question seems to be incomplete, so i will answer in a general way.

Ok, i guess that here we have two vectors:

a = (Ax, Ay) and b = (Bx, By).

Now we have that:

c = a + b = (Ax, Ay) + (Bx, By) =  (Ax + Bx, Ay + By).

Now, to calculate the magnitude of a vector (x, y) we have:

√(x^2 + y^2)

Then the magnitude of c will be:

IcI = √( (Ax + Bx)^2 + (Ay + By)^2)

And for the direction:

First, the direction is already defined by the vector c.

But a more exact (and easy to read) way is:

When we have a vector (x, y).

The angle between this vector and the x-axis is given by:

Tan(θ) = y/x.

Then in the case of c.

Tan(θ) = (Ay + By)/(Ax + Bx)

θ = ATan( (Ay + By)/(Ax + Bx) )

Answer:

  7

Step-by-step explanation:

Working backward, we can find Bob's initial product.

We subtracted 3 to get 1, so we had 4.

We divided by 5 to get 4, so we had 20.

We added 6 to get 20, so we had 14

After Bob multiplied the two numbers together, he had 14. We know that 14 is the product of 2 and 7. The odd number is 7.

Answer:round up to the Nernst number

Step-by-step explanation:

Hope this helps

Answer:

round up the number

Step-by-step explanation:

Answer:

12.53 miles

Step-by-step explanation:

6² + 11² = x²

36 + 121 = x²

157 = x²

x = 12.53 miles

The distance from town A to town C would be; 12.53 miles.

A numerical expression is an algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

We are given that Town B is 6 miles due north of town A, and town C is due east of town A. It is 11 miles from town B to town C.

Therefore,

6² + 11² = x²

36 + 121 = x²

157 = x²

x = 12.53 miles

Hence, the distance from town A to town C would be; 12.53 miles.

To know more about an expression follow;

brainly.com/question/19876186

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Answer:

D) had been trained over the past two years and that they had

Step-by-step explanation:

In the context, the sentence speaks of something that happened in the past, so 'had been' is required and also it speaks of parallelism of events, as an estimation is being made so,  parallelism should be maintained.

Hence, option (D) satisfies the two requirements. And eliminate option A, B, C and E.

Thus, (D) is correct.

Answer:

Step-by-step explanation:

From science fiction to science fact, there is a concept that suggests that there could be other universes besides our own, where all the choices you made in this life played out in alternate realities. The concept is known as a "parallel universe," and is a facet of the astronomical theory of the multiverse.

Answer:

16/27

Step-by-step explanation:

First let's convert this info an equation and then we will solve.

(2/3) * (8/9) = ?

( 2 * 8 ) / ( 3 * 9 ) = ?

( 16 ) / ( 27 ) = ?

16 / 27 = ?

So our fractional answer is 16/27.

In words this would be sixteen over twenty seven.

Cheers.

Answer:

15/9

Step-by-step explanation:

Answer: 7000

Note: 5 and up rounds up. 4 and below rounds down.

4 < 5 so that means we won't need to round up we round down.

7412 = 7000

If we were to round up then the answer would of been 7500.

Answer:

Area of rectangle=9×17=153 SQ.ft

Area of semi-circle=π9'2/2

Area of traingle=(1/2)×7×9=31.5

The area of the composite figure is 325.17 square feet

The figure is a composite figure with the following shapes

The dimension of the shapes are:

The area of each shape is:

Semicircle

A = 0.5πr²

This gives

A = 0.5 * 3.14 *9^2 = 127.17

Triangle

A = 0.5 * base* height

This gives

A = 0.5 * 9 * (26 -9 - 7) = 45

Rectangle

A = Length * Width

This gives

A = 9 * (26 - 9) = 153

The area of the figure is the sum of the areas of the individual shapes.

So, we have:

Total = 127.17 + 45 + 153

Evaluate

Total = 325.17

Hence, the area of the composite figure is 325.17 square feet

Read more about areas at:

https://brainly.com/question/14137384

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Answer:

5

Step-by-step explanation:

Answer:

[tex]\boxed{\frac{1}{10}}[/tex]

Step-by-step explanation:

[tex]\frac{9}{10}+(-\frac{4}{5})\\\\ \frac{9}{10}-\frac{4}{5}\\\\\text{LCM} (10,5): 10\\\\\rightarrow \frac{4*2}{5*2}=\frac{8}{10}\\\\\frac{9}{10} -\frac{8}{10}\\\\\boxed{\frac{1}{10}}[/tex]

Hope this helps.

Answer:

41

Step-by-step explanation:

Points are:

Distance between these points:

Answer is 41

Answer:

[tex]\Huge \boxed{41}[/tex]

Step-by-step explanation:

Easy way to find the distance between the two numbers is by taking the sum of the absolute values of these numbers.

[tex]|-13| + |28|[/tex]

The absolute value tells the distance of the numbers from zero.

Solving for absolute value.

[tex]13+28[/tex]

Adding the numbers.

[tex]41[/tex]

The distance between -13 and 28 on the number line is 41.

Answer:

D, B, B

Step-by-step explanation:

Question 1: D

We need to solve for x.

z = 2π * (x / y)¹/²

z = 2π * (x¹/² / y¹/²)

z = 2π * (√x / √y)

z = √x * 2π / √y

√x = √y * (z / 2π)

x = y(z /2π)²

Question 2: B

(x⁵ + x⁴) / (x³ + x²)

= x⁴(x + 1) / x²(x + 1)

= x⁴ / x² = x⁽⁴⁻²⁾ = x²

Question 3: B

Let's try out A. Substituting p = 1, q = 1:

√1 * √1 = √(1 + 1)

1 * 1 = √2

1 = √2 FALSE

Let's try B. Substituting p = 2, q = 2:

√2 * √2 = √(2 + 2)

√4 = √4 TRUE so the answer is B.

Answer:

12,138 people

Step-by-step explanation:

Create an equation using the basic exponential growth equation:

y = a(1 + r)^t, where a is the initial amount, r is the growth rate as a decimal, and t is the amount of time in years.

Plug in the values we know

y = a(1 + r)^t

y = 8200(1 + 0.04)^10

y = 8200(1.04)^10

= 12,138 people

Answer:

560,317.460

Step-by-step explanation:

The computation of copies that have been sold is shown below:-

we assume the number of copies is x

So, the number of copies in the first month is

= [tex]\frac{6.3}{100} x[/tex]

As per the situation the number of sold copies is 35,300 so the equation will be

[tex]\frac{6.3}{100} x = 35,300[/tex]

[tex]6.3x = 35,300\times 100[/tex]

[tex]x = \frac{35,300\times 100}{6.3}[/tex]

after solving the above equation we will get the number of copied that have been sold to date

= 560,317.460

Answer:

126468 is the result of 27 multiplied by 4684