The ratio of boys to girls in the lunch room was 4 to 3. If there were 84 students in the cafeteria, how many were girls?

Answer:

b. 65

a. The notation f(-2) means that we want to evaluate the value of the equation when x = -2

Step-by-step explanation:

A. The notation f(-2) means that we want to evaluate the value of the equation when x = -2

B. We will simply substitute the value of 2 for x

f(x) = 6(8-x) + 5

f(-2) = 6(8 - (-2)) + 5

f(-2) = 6(8 + 2) + 5

f(-2) = 6(10) + 5 = 60 + 5 = 65

Answer:

m=8t

Step-by-step explanation:

money raised will equal 8 dollars per ticket sold

Hey there! I'm happy to help!

Order of operations is PEMDAS. Parentheses comes first.

(-4+2)=-2

So, now we have -5-(-2)2

The next available option is multiplication.

-5-(-4)

Now we do addition and subtraction.

-5+4

-1.

Have a wonderful day! :D

Answer:

I got -11.97056 as the answer

Answer:

x-1+1<15; this gonna be x<15 and 1x-1+1>15 this is gonna be the same

Step-by-step explanation:

Answer:

Step-by-step explanation:

35.6

Answer:

23

Step-by-step explanation:

Responder:

x=5

Explicada:

9x-12=13+4x

Suma 12 a ambos lados

9x-12+12=13+4x+12

simplificar

9x=4x+25

restar 4x de ambos lados

9x-4x=4x+25-4x

Simplifica de nuevo

5x=25

dividir ambos lados entre 5

5x/5=25/5

Simplifica de nuevo

x=5

Answer:

4.1 megabytes

Step-by-step explanation:

well we use the rule of three

242 megabytes  ------- 100%

x      megabytes  -------- 17.1%

(x megabytes)(100%)=(242 megabytes)(17.1%)

[tex]x=\frac{242*17.1}{100} \\\\x=\frac{4138.2}{100} \\\\x=4.1382\\\\x=4.1[/tex]

so there have been downloaded 4.1 megabytes

Answer:

The number is 27

Step-by-step explanation:

Let us change the word statement to an algebraic equation

→ Assume that the number is x

→ Twice the sum of a number and 3, means add x by 3, then multiply the sum by 2

→ The algebraic expression is 2(x + 3)

→ Three times the difference of the number and 7, means subtract x and 7, then multiply the difference by 3

→ The algebraic expression is 3(x - 7)

→ Equate the two expressions

∴ 2(x + 3) = 3(x - 7)

→ Simplify each side

∵ 2(x + 3) = 2(x) + 2(3) = 2x + 6

∵ 3(x - 7) = 3(x) - 3(7) = 3x - 21

∴ 2x + 6 = 3x - 21

Let us solve the equation to find x

→ Subtract 6 from both sides

∴ 2x + 6 - 6 = 3x -21 - 6

∴ 2x = 3x - 21

→ Subtract 3x from both sides

∴ 2x - 3x = 3x - 3x - 27

∴ -x = -27

→ Divide both sides by -1

∴ x = 27

The number is 27

Answer:

175 and 177

Step-by-step explanation:

since a interger is a postive number

Answer:

is 2

Step-by-step explanation:

Answer:

The correct answer is 2

Step-by-step explanation:

this number can be written as 3+0.242424

Step-by-step explanation:

To find the mean, or average, you add all of the numbers and divide the sum by how many there are.

In this case, you add 25,27,32,29, and 42 and then divide the sum by 5.

25+27=52+32=84+29=113+42=155.

Then divide.

155/5=31.

hope it helps!

Answer:

21

Step-by-step explanation:

Steps to solve:

-6^2

-6 * -6

6 * 6

36

Best of Luck!

Answer:

n + 30

Step-by-step explanation:

[tex]4(n+9)-3(2+n)\\\\\mathrm{Expand}\:4\left(n+9\right):\quad 4n+36\\=4n+36-3\left(2+n\right)\\\\\mathrm{Expand}\:-3\left(2+n\right):\quad -6-3n\\=4n+36-6-3n\\\\\mathrm{Simplify}\:4n+36-6-3n:\\\quad n+30[/tex]

Answer:

4n + 36 - 6 -3n

n + 30

Step-by-step explanation:

Answer:  x= 20

Step-by-step explanation:

If m and n are parallel then the  3x and 2x+20 has to have the same measures which means they have to equal each other . So set them equal each other and solve for x.

2x + 20 = 3x

-2x            -2x

 20 = 1x

 x= 20

Answer:

[tex]MP= (4.5,2)[/tex] another way of writing [tex]MP= (\frac{9}{2}, 2)[/tex]

Step-by-step explanation:

[tex]MP= (\frac{x_1+x_2}{2})(\frac{y_1+y_2}{2})[/tex]

[tex]MP= (\frac{7+2}{2})(\frac{0+4}{2})[/tex] 7+2=9 0+1=1

[tex]MP= (\frac{9}{2})(\frac{2}{2})[/tex]  MP= (4.5,2)

The coordinates of the mid - point of XY will be -  M(4.5, 2)

We have two coordinate points - X(7, 0) and  Y(2, 4).

We have to find the coordinates of the mid - point of the line segment XY.

It states that a line with endpoint coordinates as - [x(1), y(1)] and

[x(2), y(2)] has its mid - point at the coordinates -

[tex]$x(m) =\frac{x(1)+x(2)}{2}[/tex]

[tex]$y(m) = \frac{y(1)+y(2)}{2}[/tex]

According to question, we have -

Assume that the coordinates of Mid - Point = M(h, k)

Coordinates of X= (7, 0)

Coordinates of Y= (2, 4)

Using the Mid - Point formula -

h = [tex]\frac{7+2}{2}[/tex] = 4.5

and

k = [tex]\frac{0+4}{2}[/tex] = 2

Hence, the coordinates of the mid - point of XY will be -  M(4.5, 2)

To solve more questions on Mid - points, visit the link below -

brainly.com/question/25377004

#SPJ2

Answer:

(0,4)

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

2) x =5y  Solve for y

Divide both sides by y

x/5 = y

3) f/g = h Solve for G

Multiply both sides by g

(g/1) f/g =h(g)

f =hg

Divide by h

f/h = g

5) bf = m  Solve for b

divide both sides by f

bf/f = m/f

b = m/f

6) 8 = b/d   solve for d

Multiply both sides by d

8 ( d) = b

Divide by 8

d = b/8

Answer

Hi mate,

Divided=divisor*quotient+remainder

19346=x*841+3

19346-3=841x

19343/841=x

x=23

Hope this helps u

Mark me as brainliest

Step-by-step explanation:

Answer:

h is the a

Step-by-step explanation:

Answer:

3m=18+12

3m=30

divide both sides by 3

m=10

Answer:

m = 10

Step-by-step explanation:

3m - 12 =18

Add 12 to each side

3m - 12+12 =18+12

3m = 30

Divide by 3

3m/3 = 30/3

m = 10

Answer:

2700[tex]ft^{3}[/tex]

Step-by-step explanation:

First you find the volume of the bigger cuboid:

Volume= Length * width * height

Volume= 22 * 10 * 11

Volume= 2420[tex]ft^{3}[/tex]

Then the volume of the smaller cuboid:

Volume= Length * width * height

Volume= 7 * 10 * 4

Volume= 280[tex]ft^{3}[/tex]

Then add the volumes of the two shapes:

2420 + 280= 2700[tex]ft^{3}[/tex]

HOPE THIS HELPED

Answer:

The probability is 1/28,561

Step-by-step explanation:

Here, we want to find the probability that each of the players will receive exactly one ace.

In a deck of cards, we have 4 suites of 13 cards each, with each of the suites consisting of 1 ace.

So, the probability of getting an ace for each of the four players will be 4/52 = 1/13

Now, the probability of each of the players getting exactly one ace will be; first got one ace , second got one , third got one and fourth got one.

mathematically, this probability will be 1/13 * 1/13 * 1/13 * 1/13 = (1/13)^4 = 1/28,561

Answer:

The mayor will lose by a large percentage.

Answer:

D??

Step-by-step explanation:

It may be D or A I’m not sure!!

Answer:

jimragarant 1

Step-by-step explanation:

pls can u help me with the questions i have posted i will give u anything u want

pls help its urgent

Answer:

108.8 yd²

Step-by-step explanation:

The area (A) of the triangle can be calculated as

A = [tex]\frac{1}{2}[/tex] absinC

where a, b are 2 sides and C the angle between them

Here a = 23, b = 9.5 and C = 85° , thus

A = 0.5 × 23 × 9.5 × sin85° ≈ 108.8 yd² ( to the nearest tenth )

Answer:

x=2

Step-by-step explanation:

6x+2y=12

6x+2x0=12

6x+0=12

6x=12

x=2