In a class, there are twice more boys than girls. Six boys leave the class and six girls arrive ;
therefore, there are twice more girls than boys .
How many boys and girls were there at first ?
please show calculations steps plus this should be solved as a system​

Answers

Answer 1

Answer:

Boys= 12

Girls= 6

Step-by-step explanation:

Let no: of girls be 'x'

No: of boys= 2x

boys after= 2x-6

girls after = x+6

according to the question,

2(2x-6)=x+6

4x-12=x+6

3x=18

x=6

No: of girls at first= 6

No: of boys at first=2*6=12


Related Questions

Write the equation for each table

Answers

Answer:

Step-by-step explanation:

First table:(left)

(1, 15) (2, 30)

(30 - 15)/(2 - 1) = 15/1 = 15

y - 15 = 15(x - 1)

y - 15 = 15x - 15

y = 15x

Second table:(right)

(0, 10)  (1, 25)

(25 - 10)/(1 - 0)= 15/1= 15

y - 10 = 15(x - 0)

y - 10 = 15x - 0

y = 15x + 10

Ryan has scores 32, 26, and 23 points in his four basketball games so far. How many points does he need to score in his next game so that his average (mean) is 26 points per game?

Answers

Answer:

23

Step-by-step explanation:

Ryan needs to score a 23 this game because if you add all the numbers together (32 + 26 + 23 + 23) then divide them

(32 + 26 + 23 + 23)/4

You will get 23.

Answer:

23 points

Step-by-step explanation:

Let's first start out by first finding the current mean. We can find this by:

[tex]\frac{32+26+23}{4}=27.[/tex]

So we know that his current average is 27 points per game, and we need the average to be 26. So, to find out the total number of points he scores from his 1st, 2nd, 3rd, and 4th game, we will do:

[tex]26\cdot4=104[/tex]

So if he needs 104 points in total to have an average of 26. So, we would subtract his total number of points from his 1st, 2nd, and 3rd game, from 104. If we do this, we would get:

[tex]104-(32+26+23)=104-81=23[/tex]

So he would need to score 23 points next game to have an average of 26 points.

At a taffy pull, George stretched the taffy to 3 feet. Jose stretched it 1_ 1 3 times as far as George. Maria stretched it _ 2 3 as far as George. Sally stretched it _ 6 6 as far. Who stretched it the farthest? The least?

Answers

Answer:

Jose stretched the taffy the farthest and Maria stretched it the least

Step-by-step explanation:

Distance stretched by George = 3 feet

Distance stretched by Jose is [tex]1\dfrac{1}{3}[/tex] times as much as George so

[tex]3\times 1\dfrac{1}{3}=3\times\dfrac{4}{3}=4\ \text{feet}[/tex]

Distance stretched by Jose is [tex]4\ \text{feet}[/tex]

Maria streched the taffy [tex]\dfrac{2}{3}[/tex] times as George

[tex]3\times \dfrac{2}{3}=2\ \text{feet}[/tex]

Maria stretched the taffy by [tex]2\ \text{feet}[/tex]

Sally stretched it [tex]\dfrac{6}{6}[/tex] so [tex]1\ \text{feet}[/tex]

So, Jose stretched the taffy the farthest and Maria stretched it the least.

PLEASE HELP ASAP!!! 15 POINTS.

Answers

Answer:

option 4

Step-by-step explanation:

Hey There!

A line that has a negative slope will be going from left to right downwards if that makes sense

Thus meaning that option 4 has a negative slope

what is the answer for 9k^2=225

Answers

9k² = 225

k² = 225 : 9

k² = 25

k = -5 and k = 5 because :

(-5)² = (-5) * (-5) = 25

5² = 5 * 5 = 25

00:00 Is the relation shown below a function? Use the graph and justify your answer (0, 0), (2.0), (2, 2), (3, 4) and (6,6) y 9 8 7 6 on 4 3 2 1 х 0 0 1 2 3 4 5 6 7 8 9 00:00 Yes, each x-value has a unique y-value 00:00​

Answers

No; Two points have different y-values for the same x-value of 2.

Step-by-step explanation:

what's the answer to -1.3g + 1.9 = -11.1

Answers

Answer:

g = 10

Step-by-step explanation:

-1.3g + 1.9 = -11.1

-1.3g = -11.1 - 1.9

-1.3g = -13

g = 10

2/5
Convert
into percentage.

Answers

Answer:

40%

Step-by-step explanation:

2/5*100

hope this helps

Your classmates Sarah, Gene and Paul are proposing plans for a class fundraiser. Each presents his or her proposal for the amount of money raised, y, for x number of hours worked, in different ways.


Answers

Answer:

yx

Step-by-step explanation:

The answer is yx

We can draw the conclusion that linear functions can be used to represent each of the ideas. Due to the fact that each proposal's linear function has an initial value, the class now has money in its accounts (b).

What is "Linear Function" ?

A linear function is denoted by the equation y = mx + b, where m is the slope or unit rate between the two variables, x and y, and b is the beginning value or y-intercept.

The initial value is b.

A linear function is a graph with straight lines.

A unit rate exists for all linear functions (b).

here, we have,

given that,

Sarah's suggestion can be expressed by a linear function because the graph that represents it is a straight line.

Gene's Proposal's table displays the unit rate as change in y/change in x = 7. As a result, a linear function can be used to express it.

Paul's idea has a linear function as its equation.

This leads us to the conclusion that linear functions can be used to represent each of the ideas.

Due to the fact that each proposal's linear function has an initial value, the class now has money in its accounts (b).

Learn more about Linear Function Visit:

brainly.com/question/15602982

#SPJ3

Find the value of x. Then find the measure of each interior angle. Show work algebraically

Answers

Answer:

Step-by-step explanation:

W=180-144

W=36 degrees

The sum of angles in a triangle always sum to 180 degrees.

6x+1+7x+36=180

13x+37=180

13x=143

x=11

U=6x+1

U=6(11)+1=67 degrees

V=7x

V=7(11)=77 degrees so

x=11 degrees, U=67 degrees, V=77 degrees, and W=36 degrees.

Translate "Twelve less than two-thirds a
number is 48" into an equation.
#17

Answers

Answer:

2/3x - 12 = 48

Step-by-step explanation:

Find the value of x.

Answers

Answer:

 x = 35°

Step-by-step explanation:

These two angles are alternate angles so they both are equal.

 5x - 54 = 3x + 16

 5x - 3x = 16 + 54

 2x = 70

 x = 70 ÷ 2

 x = 35°

at a school, 40% of the sixth grade students said that hip hop is their favorite kind of music. if 100 sixth grade students perfer hip hop music, how many sixth grade students are at the school?

Answers

Answer:

Step-by-step explanation:

250 students are in the 6th grade have a good night it is night hear if you live in America east side 10:34 PM

Show that the two triangles given beside are similar and calculate the lengths of sides PQ and PR.

Answers

9514 1404 393

Answer:

ΔABC ~ ΔPQRPQ = 8PR = 14

Step-by-step explanation:

Angles A and P are marked congruent; angles B and Q are marked congruent, so the triangles are similar by the AA similarity postulate. The similarity statement can be written ...

  ΔABC ~ ΔPQR by AA similarity

__

The ratio of sides of PQR to ABC is the ratio QR/BC = 12/6 = 2. That is, each side in the larger triangle is 2 times the length of the corresponding smaller side.

  PQ = 2·AB = 2·4 = 8

  PR = 2·AC = 2·7 = 14

The side lengths of interest are ...

  PQ = 8, PR = 14

What expression is equivalent to (x+5)2-(x-3)(x+5).

Answers

Answer:

The answer is -x^2+25

PLEASE MARK BRANLIEST

Step-by-step explanation:

Answer:

-x^2+5

Step-by-step explanation:

i didnt quite understand the question but this is the equation simplified

i need help! and ill give brainliest

Answers

Answer:

54 and 27

Step-by-step explanation:

Number 7 is 54 and number 8 is 27

ZB=
Round your answer to the nearest hundredth.
B
?
5
2
С
А

Answers

Answer:

angle B = 66.42

Step-by-step explanation:

cos-1 B = [tex]\frac{adjacent}{hypotenuse}[/tex]

cos-1 B = [tex]\frac{2}{5}[/tex]

cos-1 B = 0.40

cos-1 of 0.40 is 66.4218

round to the nearest hundreth = 66.42

angle b = 66.42

this cuboid is made from cm squares
a)write down the volume of the cuboid
b)the cuboid is then split apart into these smaller cuboids. how many of these can be made?

Answers

Answer:

Step-by-step explanation:

Each signal unit cubes are 1 cm to each side

the dimensions of the large cube is 4 by 6 by 3      width height and depth

a) volume of the cube   Vol = area of the base times height  

              area of the base = the width times the depth  

              Volume = Base Depth

                            =  Width x Depth x Height

                            =      4 x 3 x 6

                            =       12 x 6

                Vol      =   72 cm ³

b )  the volume of the smaller cuboid has different dimensions    

             the smaller cube is 2 by 2 by 1      width height and depth

          Volume = Base Depth

                            =  Width x Depth x Heigh

                            =    2 x 2 x 1  

 Vol smaller cuboid    =   4

      How many smaller cubes can be made?

            The obvious answer might be to straight up divide the large cube volume by the smaler cuboid volume. That might work IF all of the cuboid dimensions divide evenly into the cube dimensions.

  Number of cuboid  =   Volume of the cube  /  Volume of the cuboid

                                  =             72 / 4

                                  =        18

Check this answer by dividing the dimension of the cube by the cuboid

         4 by 6 by 3

         2 by 2 by 1

      (4/2) by (6/2) by (3/1)

        2    by    3   by     3       = 2 x 3 x 3     =    18

Answer: 90% of 40 is 36. Therefore, 36 students are present in the class.
Learning Task 1
Find the percentage of the following number.
1. 45% of 20
2. 40% of 85
3. 70% of 60
4. 35% of 140
5. 5% of 360​

Answers

1. 9
2. 34
3. 42
4. 49
5. 18

Tim is 5 pounds heavier than Amy. Let Amy's weight will be x pounds

A) Express Tim's weight in terms of x
b) if Tim's weight is 126 pounds, what is Amy's weight?
(show you work)

Answers

Answer:

A) x+5

B) 121

Step-by-step explanation:

A) If Tim is 5 pounds heavier than Amy, an equation for this situation can be modeled by x+5, where Amy is x pounds.

B) If Tim is 126 pounds, then Amy's weight is 126-5=121 pounds.

2 + 14 + 2 − 12 = -4

Answers

Answer:

The answer is actually 6.

Answer:

no, it's 6.

Step-by-step explanation:

Find the area of the figure.

Answers

15.5 x 12.4 = 192.2 so the answer is 192.2 square feet.

Answer:

249.86 ft^2

Step-by-step explanation:

12.4 ft × 9.3 ft ÷ 2 = 57.66 sq ft(for triangle)

57.66+(12.4 ft×15.5 ft) = 249.86 sq ft

brainliest plz

What is 7 (x+3) -7 = y simplified

Answers

Answer:

7 (x+3) -7 = y

7x+21-7=y

7x+14=y

use the distributive property to remove the parentheses , 12(3-y)​

Answers

12(3-y)
= 36-12y

Basically all I did was multiple 12 by 3 and then multiple 12 by -y!! :)
36 - 12y

To distribute multiply what is outside of the parentheses by what is inside them. 12 x 3 = 36
12 x -y = -12y

first person to answer all of these questions gets brainliest, also upping points to 50

Answers

Answer:

#1

Ratio of 45-45 and 30-60-90 triangles

45-45

a : b : c = 1 : 1 : √2

30-60-90

a : b : c = 1 : √3 : 2

a)  

b = 10/2 = 5a = 5√3

b)

k = l = 6√2/√2 = 6

#2

Find x

7/x = cos 66°x = 7/ cos 66°x = 17.2

Find y

y/x = sin 66°y = 17.2 sin 66°y = 15.7

#3

a) sin A = 5/13

b) cos A = 12/13

c) tan A = 5/12

d) A = arcsin (5/13) = arccos (12/13) = arctan (5/12) = 22.6°

Anna put $500 into a savings account and made no more deposits or withdrawals. The account earns 2% simple interest per year. How much money will be in the account after 5 years?

Answers

Answer:

50

Step-by-step explanation:

What I did was 2 divided by 100 = 0.02 Then multiply 0.02 times 500 and you should get 10 then multiply by how many years of interest and you get 50  

hope this helped!

All solid objects conduct heat although some are better conductors than others in this sentence what's part of speech does the word although mean?
adjective
preposition
adverb
conjunction
helpp

Answers

what solid objects conduct here although some are better conductors and others in the sentence what’s the part of the speech does the world although mean?

I got you :) The answer is an Adjective ! you could also search up what these words mean to help you find your answer but i already told you it’s an adjective lol have a great day

Find the distance between the pair of points.

(6, 6) and (6, −2)

The distance between the pair of points is units.

Answers

Answer:

(6-6)+(6-2)=0+4

sqr(4)^2=4

if x varies directly as y, and y=6 when x=27, find x when y=2

Answers

Answer:

x = 9

Step-by-step explanation:

Given y varies directly as y then the equation relating them is

x = ky ← k is the constant of variation

To find k use the condition y = 6 when x = 27

27 = 6k ( divide both sides by 6 )

4.5 = k

x = 4.5y ← equation of variation

When y = 2 , then

x = 4.5 × 2 = 9


Find a and b please fasttt

Answers

Answer:

Step-by-step explanation:

to find the angle A

360-230=130

angle B=180-130=50

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