the ratio to staff to guests at the gala was 3 to 5 . there was a total of576 oeople in the ball room .how many guests were at the gala​

Answers

Answer 1
There were 360 guests and 216 staffs at the gala

Related Questions

What is 3 ÷ 2/5? The quotient is 7 and _____



HELP PLEASE

Answers

Answer:

Your answer is 15/2 i hoped i helped

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

3×5/2

15/2

The remainder is 1

Please answer this correctly

Answers

28 to nine means it is 8:32 ( to get this you subtract 28 from 9.) ( its saying there are 28 minutes left until it is 9)

add 8 hours

= 8+ 8 = 16

well we arent talking about military time sooo 16-12 = 4

4 : 32 and you need to add the 59 so

32+ 59 = 91

91 - 60 = 31 (dont forget to add the extra 1 hour because we subtracted 60 minutes :). )

so the correct time will be 5: 31

Answer: 5:31

Step-by-step explanation:

28 minutes to 9 is 8:32

8 hours and 59 minutes later it would be 5:31

need help as soon as possible !! ​

Answers

Answer:

x = 64

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Sum the given angles and equate to 360

x + 2x + 114 + x - 10 = 360, that is

4x + 104 = 360 ( subtract 104 from both sides )

4x = 256 ( divide both sides by 4 )

x = 64

Your Answer would be x = 64

What is s=(n - 2)180

Answers

Answer:

angle sum of a triangle’Formula

Step-by-step explanation:

N stands for the number of edges, - 2 is the result after finishing, 2 has no special significance. Because the sum of outer angles is a constant n-edge shape with 360 degrees, take n flat angles 180n = inner angle and + 360, so the sum of inner angles = 180n-360 = 180 (n-2)

That formula tells you what is the sum of the interior angles of a polygon with n sides.

So, for example, a triangle has n=3 sides, and in fact the sum of its interior angles is

[tex](3-2)\cdot 180=180[/tex]

As another example, the sum of the interior angles of a polygon with 15 sides is

[tex](15-2)\cdot 180=13\cdot 180=2340[/tex]

What is the range of possible sizes for side x?

Answers

Check the picture below.

the idea being that sides of 2.5 andd 8 are fixed, what's are the possible lengths of "x"?

well, if we open the fixed sides, we'll end up with a 3rd side of 2.5 + 8 = 10.5, however if "x" is ever 10.5, the figure will become a flat-line and we'd be losing the triangle.

and if we close the fixed sizes, the longest "x" could be is 8 - 2.5 = 5.5, but the same, it can't be 5.5 exactly otherwise the figure will turn to a flat-line.

5.5 < x < 10.5.

Answer:

5.5 < x < 10.5

Step-by-step explanation:

Khan

Luis left a 20% tip on a $30.00 food bill. How much did he leave for the tip?

Answers

Answer:

He left $6 for the tip.

Step-by-step explanation:

20%=0.2

0.2*30=6

How many solutions does this system have?

Answers

Answer:

x=0, exactly one solution.

Step-by-step explanation:

y=3x+3

y=-2x+3

-----------

3x+3=-2x+3

3x-(-2x)+3=3

3x+2x+3=3

5x+3=3

5x=3-3

5x=0

x=0/5

x=0

At present Asha's age (in years) is two more than the square of her daughter Nisha's age (in years). When Nisha grows to her mother's present age, Asha's age would be one year less than 10 times the present age of Nisha. Find the present age of Asha and Nisha

Answers

Answer:

Asha's present age is 27 years and Nisha's present age is 5 years.

Step-by-step explanation:

Let the present age of Nisha be [tex]x[/tex] years.

As per question, Asha's present age is 2 more than the square of Nisha's age.

[tex]\therefore[/tex] Asha's present age = [tex]x^2+2[/tex]

Now, Nisha will reach her mother's age after [tex]x^2+2-x[/tex] years.

Therefore, age of Asha after [tex]x^2+2-x[/tex] years will be = [tex]x^2+2+x^2+2-x=2x^2-x+4[/tex]

Now, as per question,

[tex]2x^2-x+4=10x-1\\2x^2-x-10x+4+1=0\\2x^2-11x+5=0\\2x^2-x-10x+5=0\\x(2x-1)-5(2x-1)=0\\(2x-1)(x-5)=0\\x=\frac{1}{2}\ or\ x=5[/tex]

As age can't be in fraction, we consider the present age of Nisha as 5 years. So, Asha's present age is [tex]x^2+2=5^2+2=25+2=27[/tex] years.

Therefore, Asha's present age is 27 years and Nisha's present age is 5 years.

What is the length of AC ? Enter your answer in the box. units Triangle A B C with vertical side A C. Vertex B lies to the right of side A C. Angle A and angle C are marked congruent. The length of side A C is labeled as x. The length of side A B is labeled as x plus 4. The length of side B C is labeled as 3 x minus 8.

Answers

Answer:

LENGTH OF AC IS 6

Step-by-step explanation:

Given :

the side AC = x ;

we need to find x;

since ∠A = ∠C , It's an isosceles triangle . i.e ,

the sides opposite to the angles ( AB and CB ) are also equal.

thus ,

side

AB = x+4 ;

CB = 3x-8 ;

thus AB = CB or ,

x+4 = 3x-8 ,

2x = 12 ,

x = 6 ;

therefore the side AC is 6.

What is the degree of the expression that represents the perimeter of this triangle ???? PLEASE HELP ME

Answers

Answer:

1.

Step-by-step explanation:

The perimeter is a length - degree 1.

The degree of the expression that represents the perimeter of this triangle is 2

How to determine the degree

The formula for calculating the perimeter of a triangle is expressed as;

P = a + b + c

Such that the parameters are denoted as;

P is the perimeter of the trianglea, b and c are the lengths of the side of the triangle

From the diagram shown, we have that;

Perimeter = 2x²+ 2x ² + 4x + 5

collect the like terms, we get;

Perimeter = 4x²+ 4x + 5

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if 3 miles is equal to 4828.05 miles, how many meters are in 5 miles​

Answers

There are 8046.75 meters in 5 miles

Step-by-step explanation:

Method 1:

First of all we have to calculate the unit conversion.

Assuming that 3 miles is equal to 4828.05 meters

We have to find that how many meters make one mile

So,

3 miles = 4828.05 meters

[tex]1\ mile=\frac{4828.05}{3}\\=1609.35\ meters[/tex]

Now we know that:

[tex]1\ mile=1609.35\ meters\\5\ miles=1609.35*5 = 8046.74\ meters[/tex]

Method 2:

We can also use ratios to find the number of meters in 5 miles as:

3:4828.05::5:x

where x is the number of meters in 5 miles

[tex]\frac{3}{4828.05}=\frac{5}{x}\\x=\fac{5*4828.05}{3}\\=8046.75\ meters[/tex]

Hence,

There are 8046.75 meters in 5 miles

Keywords: Conversions, Units

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Can you help me please?

Answers

Answer:

i believe you answer would be B. 3

Step-by-step explanation:

For the following exercises, use the function f represented in table 14 below

Evaluate f(3)

Solve f(x)=1

Answers

f(3)=53 and for f(x)=1; x=2
Final answer:

Without Table 14, a specific answer can't be provided. But generally you would find the y value when x is 3 for f(3), or find the x value when y is 1 for f(x)=1.

Explanation:

This question pertains to the evaluation of f(3) and solving for f(x)=1 within the given function f that's represented in Table 14. Unfortunately, as the Table 14 isn't provided, I can't give a specific answer. However, generally, to evaluate f(3), find the pair where the x value is 3; the corresponding y (or f(x)) value is the result of f(3). To solve f(x)=1, look for the pair in the table where the f(x) (or y) value is 1; the corresponding x value is the solution for f(x)=1.

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How do you round 649 to the nearest hundred

Answers

Answer:600

Step-by-step explanation:

The 6 is in the hundreds place, so you in order to round it you would look at the 4. Since 4 is a a number less than 5 you round down. That would mean 600 instead of 700.

Answer: 600

Step-by-step explanation: To round 649 to the nearest hundred, we first find the digit in the rounding place which in this case is the 6 in the hundreds place.

To decide whether to round up or down, we look at the digit to the right of the 6 which is 4.

According to the rules of rounding, if the digit to the right of the rounding place is less than 5, we round down.

So in this problem, since 4 is less than 5, we round down.

This means that the 6 in the hundreds place stays the same and all digits to the right if 6 become 0.

So 649 rounded to the nearest hundred is 600.

megan has a rope that is 15 feet in length she cuts the rope into 4 pieces how long is each section of to ​

Answers

Answer:

3.75

Step-by-step explanation:

You take your 15 feed and divide it by 4 for the four pieces she cuts the rope into giving you with each section of the cut rope being 3.75 in.

The length of each piece is 3.75 feet long.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Megan who has a rope that is 15 feet in length and she cuts the rope into 4 pieces.

Assume that the length of each piece is x ft. Then -

4x = 15

x = 15/4

x = 3.75 ft

Therefore, the length of each piece is 3.75 feet long.

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HELP ASAP!!! 100 POINTS!!!

1. It takes the earth 24 h to complete a full rotation. It takes Mercury approximately 58 days, 15 h, and 30 min to complete a full rotation. How many hours does it take Mercury to complete a full rotation? Show your work using the correct conversion factors.

Answers

Answer:

HERE IS THE ANSWER 1407.5 hours

Step-by-step explanation:

Simplify the square root of 41

Answers

Answer:

it's already in it's simplest form

Step-by-step explanation:

Answer:

the answer would still be the same as the problem because if you use prime factorization it would still be the square root of 41  

Step-by-step explanation:

[tex]\sqrt{41\\[/tex]

The length of a rectangle is 9 cm more than its
width. If the area of the rectangle is 36 cm2,
what are the dimensions? Justify your answer.

Answers

= 4 = x²

x = Answer: Length= 11 , Brteadth = 2

Step-by-step explanation: Let the breadth of the rectangle be x

length = 9 + x

area = 36 cm²

A.T.Q

36cm² = 9x*x

36 = 9x²

36/9 = 4 = x²

x = root of 4

x= 2

Therefore , breadth of rectangle is 3cm and length is 12 cm

verification:

l*b = 12*3 = 36cm²

Please help! :) Need answer fast!

Answers

Answer:

x = 3

y = 2

Step-by-step explanation:

When 2 triangles are congruent, they will have exact same 3 sides length and exact same 3 angles measure.

So we can say:

-2x + 6y = 6

and

-7x + 8y = -5

Let's multiply first equation by 7 and 2nd equation by -2, to get:

7 [-2x + 6y = 6] = -14x +42y = 42

and

-2 [-7x + 8y = -5] = 14x - 16y = 10

Now adding these 2 new equations and solving for y:

-14x +42y = 42

14x - 16y = 10

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

26y = 52

y = 52/26

y = 2

Now we put y = 2 into 1st equation (or any other) and solve for x:

-2x + 6y = 6

-2x + 6(2) = 6

-2x + 12 = 6

6 = 2x

x = 6/2

x = 3

a
The hypotenuse of a right triangle is 15 centimeters long. One leg is
9 centimeters long. How long is the other leg?

Answers

The other leg is 12cm long.

Step-by-step explanation:

Given,

Hypotenuse = c = 15cm

One leg = a = 9cm

Other leg = b

As the triangle is right angled, therefore, using Pythagoras theorem;

[tex]a^2+b^2=c^2\\(9)^2+b^2=(15)^2\\81+b^2=225\\b^2=225-81\\b^2=144\\[/tex]

Taking square root on both sides;

[tex]\sqrt{b^2} =\sqrt{144} \\b=12\ cm[/tex]

The other leg is 12cm long.

Keywords: triangle, square root

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How to write 40+5\10

Answers

Answer:

4 tens + 5 tenths

Step-by-step explanation:

40+5\10= 40+1/2=40.5


1. Which of the sets of terms below does NOT include like terms?
A. 9m,-9m,7m
B.1p,-7p,7p
C. 30,-25,25
D. 6x,6y,6z​

Answers

Answer:

D

Step-by-step explanation:

D contains terms x, y, and z. All three are different.

Factor each expression 12x + 24

Answers

Answer:

12(x+2)

Step-by-step explanation:

Factor a 12 out of

12x + 24

12 goes into 12 once

12 goes into 24 twice

= 12(x+2)

Write an equation in point slope form (12,7) m=-2

Answers

Answer:

y= -2x+31

Step-by-step explanation:

Y=-2x+B

7=-2(12)+B

7=-24+B

7+24= (-24+24)+B

31=B

Y=-2x+31

Hope it helps!!

Simplify x² + 3x + 2/X +1

Answers

Final answer:

To simplify the expression x² + 3x + 2 / X + 1, factor the numerator and denominator expressions separately. The simplified form of the expression is (x + 2) / 1.

Explanation:

To simplify the expression, x² + 3x + 2 / X + 1, we can use the factoring method. First, we factor the numerator expression. The expression x² + 3x + 2 can be factored as (x + 2)(x + 1). Then, we factor the denominator expression X + 1. So, the simplified form of the expression is (x + 2) / 1.

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complete the linear equation

Answers

Answer:

[tex]y=-30x[/tex]

Step-by-step explanation:

The intercept of the function is the value of y when x=0. In this particular case, when x=0, y=0, then the intercept is y=0.The slope of the function must tell us what is the change in y when x changes.  When x changes in one unit (from x=0 to x=1), y takes the value of y=-30, y=1x(-30). When x takes the value of x=2, y takes the value of y=-60, then y=2x(-30), and when x=3, y=3x(-30)=-90.This means that y always takes the value of -30x. Then the slope is -30, which is the rate of change of y as x changes.

The supermarket has pie filling
on sale for $1.19. Mom bought
four cans. If she gave the clerk
$ 10, what is her change?

Answers

Answer:

$5.24

Step-by-step explanation:

If Mom bought 4, she bought [tex]$1.19*4=$4.76[/tex] worth of pie filling. Since she paid $10, she needs [tex]$10-$4.76=$5.24[/tex] change

her change is $5.24

if you do $1.19 times 4 which is $4.76
then $10 minus $4.76 is $5.24

10 - (1.19 x 4)

Solve: In 2x + In 2 = 0
DONE

Answers

Answer:

[tex]x=\frac{1}{4}[/tex]

Step-by-step explanation:

We can use some logarithmic rules to solve this easily.

Note: Ln means [tex]Log_e[/tex]

Now, lets start with the equation:

[tex]ln(2x) + ln(2) = 0\\ln(2x) = -ln(2)[/tex]

Writing left side with logarithmic base e, we have:

[tex]Log_{e}(2x) = -ln(2)[/tex]

We can now use the property shown below to make this into exponential form:

[tex]Log_{a}b=x\\means\\a^x=b[/tex]

So, we write:

[tex]Log_{e}(2x) = -ln(2)\\e^{-ln(2)}=2x[/tex]

We recognize another property of exponentials:

[tex]a^{bc}=(a^{b})^{c}[/tex]

So, we write:

[tex]e^{-ln(2)}=2x\\(e^{ln(2)})^{-1}=2x[/tex]

Also, another property of natural logarithms is:

[tex]e^{(ln(a))}=a[/tex]

Now, we simplify:

[tex](e^{ln(2)})^{-1}=2x\\(2)^{-1}=2x\\\frac{1}{2}=2x\\x=\frac{\frac{1}{2}}{2}\\x=\frac{1}{4}[/tex]

This is the answer.

(1/5)^(x+1)=125 how do I solve this?​

Answers

Answer:

X=-4

Step-by-step explanation:

In the attached file

2x - 2(4x-3) = 6 - 6x​

Answers

Answer:

x=

Step-by-step explanation:

Open parenthesis first:

2x-8x+6=6-6x

Combine like terms:

-6x+6=6-6x

Then move all like terms to one side:

6-6=-6x+6x

Simplify:

0=0

0=0 is true, so x can equal any number and the result will be true. (Like the number 4, for example. If x was 4, you would get 4=4.)

~Stay golden~ :)

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