At a party, the amount of people who ate meatballs was 9 less than 3/5 of the total number of people. The number of people who ate meatballs was 24. How many people where at the party? Write an equation to help you solve the problem. Let x represent the number of people at the party.

Answers

Answer 1

Answer:

there were a total of 55 people at the party.

Step-by-step explanation:

In order to create the equation representing this scenario we first need to represent each step in a formula. Since the total number of people is represented by x we can multiply 3/5 by x and subtract 9 from that. This would then be equal to 24 like so...

3/5x - 9 = 24

Now that we have the formula we can perform opposite operations to isolate x and solve for it.

3/5x - 9 = 24   ... add 9 on both sides

3/5x = 33   ... divide both sides by 3/5

x = 55

Finally, we can see that there were a total of 55 people at the party.


Related Questions

what is 1/5 + 1/6=
Pls I need help

Answers

Answer:

So the first step would be is to multiply the denominators so you would get this:

6/30 + 5/30

Then you would have 11/30 no simplification needed.

Se image below for more info:

Answer:

11/30

Step-by-step explanation:

To add fractions, you need to find the common denominators

the common denominator for 5 and 6 is 30, because 5*6 = 30

1/5 times (6/6) to get a common denominator of 30. Remember, you have to multiply the numerator by 6 too!

1           6          6

_    x    _    =    _

5         6          30

Now, we just have to multiply 1/6 by (5/5) to get a common denominator of thirty.

1           5          5

_    x    _    =    _

6         5          30

5             6         11

_     +      _    =    _

30          30        30

You final answer should be 11/30

What is equation of the line graphed below?

Answers

using the parent function y = mx + b,
y = -3x
slope is m- so rise over run -3/1 = -3
where the line crosses the y axis is b- 0 (origin)
ExplanationFind the slope by using rise over run with two coordinate points.

[tex](0,0) \longrightarrow \sf{part \: \: of \: \: the \: \: graph} \\ (1, - 3)\longrightarrow \sf{given \: \:coordinate \: \: point}[/tex]

[tex]m = \frac{dy}{dx} = \frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute these coordinate values in.

[tex]m = \frac{0 - ( - 3)}{0 - 1} \\ m = \frac{3}{ - 1} \\ m = - 3[/tex]

Hence, the slope is -3.

Find the y-intercept.

From the graph, the line passes through the origin point. Therefore, the y-intercept is (0,0).

Slope-Intercept form

[tex]y = mx + b \\ \begin{cases} \sf{m = slope} \\ \sf{b = y - intercept} \end{cases}[/tex]

Substitute both m and b in the slope-intercept form.

[tex]y = - 3x + 0 \\ y = - 3x[/tex]

Hence the answer is y = -3x.

Answer

[tex] \large \boxed{y = - 3x}[/tex]

90° clockwise rotation
Help please

Answers

Answer:

E' (-2,5)

F' (-3,1)

G' (-2,-1)

H' (0,3)

Step-by-step explanation:

The rule for 90 degree clockwise rotation is (h,k) -> (k,-h). This means flip the x-value's sign and then switch x and y's position. For example E (-5,-2), first flip x's sign (5,-2) and then switch x and y's places (-2,5).

(c)
2x - 3y = 1
3x + y=-5
Solve geographically

Answers

Answer:

1) x=3/2y+1/2

2)x=-1/3y+-5/3

Step-by-step explanation:

1)

Let's solve for x.

2x−3y=1

Step 1: Add 3y to both sides.

102x−3y+3y=1+3y

2x=3y+1

Step 2: Divide both sides by 2.

2x/2

=

3y+1/2

x=3/2y+1/2

f(x)=2*+3

What is the value of f(-2)

Answers

Answer:

3 1/4

Step-by-step explanation:

Answer:

f(-2)=7

Step-by-step explanation:

f(-2)=2^-2+3

f(-2)=4+3

f(-2)=7

Which two planets are most similar in their composition?

1.Earth and Mars
2.Venus and Saturn
3.Venus and Jupiter
4.Earth and Neptune

Answers

Answer:

1. Earth and Mars

Step-by-step explanation:

Earth, Venus, and Mars all have roughly similar bulk compositions: about one third of their mass consists of iron-nickel or iron-sulfur combinations; two thirds is made of silicates

Researchers make a one-sample z interval to estimate the proportion of adults who would say they learned
something new in the past month. Previous studies have suggested that about 40% would answer "yes" to this
question. The researchers plan on using a confidence level of 95%, and they want the margin of error to be no
more than 25%.

Answers

Answer:369

Step-by-step explanation:

The table shows the highest point of elevation of 5 different states. How much higher is the highest point of elevation in Colorado than Texas ?

Answers

Answer:

where is the table

Step-by-step explanation:

Calculate the slope given points (1,2) and (3, 4).
And reduce or simplify your answer if possible. Please watch your signs.

Answers

Answer:

slope: 1

Step-by-step explanation:

(1, 2) and (3, 4)

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(4 - 2) / (3 - 1)

Simplify the parentheses.

= (2) / (2)

Simplify the fraction.

2/2

= 1

This is your slope.

Hope this helps!

the same digits are used for the expression 2^5 and 5^2 explain how to compare the value of the expressions

Answers

the value of 2⁵ is greater than the value of 5² because 2⁵ is equal to 32 then the value of 5² is equal to 25.

HOPE IT'S HELP

#CarryOnLearning

what is the unit rate of paying $15 for 4 people to see a magic show?

Answers

Answer: $3.75

Step-by-step explanation:

Divide 15 by 4

3.75/1 is the answer

27 ÷ 3 and 3 ÷ 27
associative property
Yes, commutative property
Yes, identity property
No, they are not equal
which one is it

Answers

Answer:

No they aren't equal........

No they are not equal

help pls asap ........

Answers

Answer:

(x²+6x+8)

I hope this helps

Step-by-step explanation:

(x+2) (x+4)

(x²+4x+2x+8)

(x²+6x+8)

Calculate the quotient.
A. 3/4 divided by 5 1/5 is?
B. 3/7 divided by 2 1/2 is?
C. 5/8 divided by 6 5/6 is?
D. 8 3/10 divided by 5/8 is?

Answers

A) 3/4 ÷ 5 1/5.

Answer:

[tex] \frac{15}{104} [/tex]

B) 3/7 ÷ 2 1/2.

Answer:

[tex] \frac{6}{35} [/tex]

C) 5/8 ÷ 6 5/6.

Answer:

[tex] \frac{15}{164} [/tex]

D) 8 3/10 ÷ 5/8.

Answer:

[tex]13 \frac{7}{25} [/tex]

A pizza has a circumference of 60 cm. The pizza is divided in half so that there are two halves. "The circumference of my half pizza is 30cm" Jenny thinks. Is that right? Explain why?

Answers

Answer:

yes because 30 is half of 60

Step-by-step explanation:

Answer:

yes, jenny is right.

Step-by-step explanation:

half of 60, is 30, (60/2 = 30)

hope this helps :)

a brainliest would most certaintly be appreciated :)

PLEASE HELP!!!
The perimeter of a rectangular coffee table is given by the trinomial 2t2+4t+2. The table's length is 2t-3. What is the table's width?

Answers

Answer:

t^2+4

Step-by-step explanation:

The perimeter of the table can be given by the equation 2l+2w, and we know the length is 2t-3, meaning 2(2t-3)+2w=2t^2+4t+2, as we know 2t^2+4t+2 is the perimeter. Simplifying we get:

4t-6+2w=2t^2+4t+2

4t+2w=2t^2+4t+8

2w=2t^2+8

w=t^2+4

This means that the table's width is t^2+4

Two circles with radii 3.5 cm and 2.5 cm touch each other internally. Find the distance between their centres.

Answers

Answer:

1cm

Step-by-step explanation:

Kindly refer to the attached image for clarity

Given data

Let the big circle have a radius R= 3.5cm

and the small circle have a radius r= 2.5cm

From the image, we can see that the distance between the two centers is the difference of the radii

Distance= R-r

Distance= 3.5-2.5= 1cm

Hence the distance is 1cm

can someone help me with this

Answers

Answer:

C≈81.68

Step-by-step explanation:

I hppe this helps! ^^

☁️☁️☁️☁️☁️☁️☁️☁️

Answer: 81.64 units

The circumference formula of a circle is -
C = 2πr

Using this, it turns to -
C = 2π(13)

Put in calculator, you get -
81.64 units

Round 2,641 to the nearest thousand

Answers

It would be 3,000 as it is the next thousand. Since 2,641 is over 2,500 you can round to the next thousand 3,000

Answer: 2,641⇒3,000

Step-by-step explanation:

      2                       6                     4                 1

Thousand         Hundred            Ten             one

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

Question:

Round 2,641 to the nearest thousand

Solve:

When the number is less than 5, you move down

When the number is greater or equal to 5, you move up

2 is the thousands place

the number before 2 is 6 on the hundreds place

6 is greater than 5, so you move up

Hope this helps!! :)

Please let me know if you have any questions

A modified roulette wheel has 32 slots. one slot is 0, another is 00, and the others are numbered 1 through 30, respectively. You are placing a bet that the outcome is an odd number. (In roulette, 0 and 00 are neither odd nor even.)<?xml:namespace prefix = o ns = "urn:schemas-microsoft-com:office:office" />


a. What is your probability of winning ?

The probability of winnign is ?

( type an integer or a simplified fraction)

b. What are the actual odds against winning are ?

c. When you bet that the outcome is an odd number, the payoff odds are 1:1. How much profit do you make if you bet $17 and win ?

If you win, the pay off is ?

d. How much profit should you make on the $17 bet if you could somehow convice the casino to change its payoff odds so that they are the same as the actual odds against winning ?

(rounds to the nearest cent as needed.)Type your question here

Answers

Answer:

0.46875 ; 1.133 ; $17 ;19.27

Step-by-step explanation:

Number of slots = 32

0, 00, {1,.. 30}

Odd outcomes = {1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29}

1.) probability of winning :

P(winning) = number of odd outcomes / tot possible outcomes

P(winning) = 15 / 32 = 0.46875

2.)

Odds against winning :

Number of losing outcomes / number of winning outcomes

Not odd numbers / odd numbers = 17 /15 = 1.133

C.)

Payoff odd = 1:1

If bet value = $17 ;

Profit made on winning = $17 * 1 = $17

d.)

If Payoff odd = odd against winning = 17 / 15

Profit on $17

17/ 15 * 17

(1.1333333) * 17

= 19.27

;

find the value of each angle.​

Answers

Answer + Explanation:

First, find what the sum of the interior angles must be. You can use the formula 180(n - 2) where n is the number of sides to find this.

n = 5, so 180( 5 - 2) = 180 * 3 = 540 degrees.

Then, you can add up all the interior angles of the pentagon and it will add to 540. This means that:

2x + x + 2x + 90 + 90 = 540

5x + 180 = 540

5x = 360

x = 72

Then you can go through and find the measure of each angle:

S = 90 degrees (given)

T = 2x = 2 * 72 = 144 degrees

U = x = 72 degrees

V = 2x = 72 * 2 = 144 degrees

W = 90 degrees (given)

what is the nth term of 5,11,17,23

Answers

Answer:

6n - 1.

Step-by-step explanation:

Arithmetic sequence.

a1 = 5, d = 6.

nth term = a1 + d(n - 1)

= 5 + 6(n - 1)

= 5 + 6n - 6

= 6n - 1.

25+45+15-31=? what is the anser

Answers

25+45+15-31 equals 54

Dos aviones salen del mismo aeropuerto,uno se dirige hacia el norte y el otro,al oriente.Cuando estan a 1580 km de distancia uno del otro,uno de ellos ha recorrido 800 km¿Que distancia ha recorrido el otro avion?

Answers

Answer: El otro avión recorrió a distancia de 1362.5 km.

Step-by-step explanation:

Vamos a definir:

Norte es el eje y-positivo.

Oriente (o este) es el eje x-positivo.

Y también sabemos que si tenemos los puntos (a, b) y (c, d)

La distancia entre esos puntos es:

Distancia = √( (a - c)^2 + (b - d)^2)

Ahora, uno de los aviones va hacia el norte, entonces si el aeropuerto está en la posición (0, 0), después de un rato viajando hacia el norte su nueva posición va a ser (0, A)

Mientras que el que va al oeste va a tener una nueva posición (B, 0)

La distancia entre ellos es:

Distancia = √( (B - 0)^2 + (0 - A)^2) = √( B^2 + A^2)

Sabemos que cuando la distancia entre ellos es 1580 km, uno de ellos ha recorrido 800km, asumamos que A = 800km.

Entonces tenemos la ecuación:

1580 km = √( B^2 + (800km)^2)

(1580km)^2 = B^2 + (800km)^2

(1580km)^2 - (800km)^2 = B^2

√((1580km)^2 - (800km)^2 ) = B = 1362.5 km

El otro avión recorrió a distancia de 1362.5 km.

Use this system of equations to answer the questions that follow.

4x – 9y = 7

–2x + 3y = 4
What number would you multiply the second equation by in order to eliminate the x-terms when adding to the first equation?


What number would you multiply the second equation by in order to eliminate the y-terms when adding to the first equation?

Answers

Answer:

To eliminate the x-terms, multiply the second equation by 2.

To eliminate the y-terms, multiply the second equation by 3.

Step-by-step explanation:

The first step of solving by elimination requires that you eliminate either the x-terms or y-terms by making the two terms have the same coefficient, but opposite signs.  

So, if you wanted to eliminate the x-terms, you could multiply the second equation so that its x term has the same coefficient as the x-term in the first equation, but with opposite signs. The x-term in the first equation is 4x. The x-term in the second equation is -2x. They already have opposite signs, so we just need the -2x to become -4x. -4x divided by -2x is 2, thus you would multiply the second equation by 2.  

If you wanted to eliminate the y-terms, the process is the same. The y-term in the first equation is -9y and the y-term in the second equation is 3y. Again, they already have opposite signs, we just need 3y to become 9y. 9y divided by 3y is 3, thus you would multiply the second equation by 3.

Answer:

to eliminate x, u would multiply second equation by 2

to eliminate y, u would multiply second equation by 3

Step-by-step explanation:

Solve the compound inequality −3 ≤ 3x + 3 ≤ 6 and graph the solutions.

Answers

x is greater than or equal to 0

x is less than or equal to 1

put the equation in desmos to graph the inequality

use the distributive property to write the following expressions in expanded form

Answers

Is it only me or u didn't add a pic

you didn’t add the pic lol

Someone help me with this??

Answers

Answer:

w = 215 degrees

Step-by-step explanation:

A  circle = 360 degrees total. So, 145 + w should equal 360.

145 + w = 360

145 + w -145 = 360 - 145

w = 215

Hope this helps :)

Maybe brainliest?

hii pls help me if u cann

Answers

Answer:

3/4x+2

Step-by-step explanation:

We can see the y intercept is 2 so our equation looks like this

y=mx+2

We just need to solve for m

We can take the point

(4,5)

and plug it in

5=4x+2

solve for x

x=3/4

Can someone help please?

Answers

Answer:

16

Step-by-step explanation:

since he needs 32 points to get to 75 points,

soo you just dividi the points you need by the points you get by every question since it's 2 for every question you just need half of the question needed to get to 32 points soo divide it by 2 and the answer you get is 16.

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