The ratio of boys and girls in a class with 40 students = 3:2. If 4 new boys are added, what will be the new ratio?

Answers

Answer 1

Answer: 7:4

Step-by-step explanation:

40 boys and girls 3:2 = 24 boys + 16 girls

4 boys are added  28 boys + 16 girls /4  = 7:4

Answer 2

Answer:

7:11

Step-by-step explanation:

We know the total number of students and the ratio of boys to girls.  The total for the ratio of boys and girls would be 5 (3+2).  Now we can set up proportions knowing these numbers.

b = 3

g =2

t =5

Let's find out how many actual boys there are by setting up a proportion

3/5 = b/40  

I will look at the denominators to find x.  5 times what gives me 40? (8).  So, I will multiple the top number (numerators).  Since I need to multiple the bottom number by 8 to get the number 40, I will now multiple the top number by 8 and get 24.

Now, I know how many actual boys and girls were in the original class.  There were 24 boys, 16 girls (40 - 24) and 40 total students.  

Now I will take this new information and apply it to the new situation.  Now I have 28 boys (24 + 4) and a new total 44.

The ratio of boys to girls would not be 28: 16 or 7:4


Related Questions

When plotting points on the coordinate plane below, which point would lie on the x-axis?
(6,0)
(0,2)
(3,8)
(5,5)
(Help me please)

Answers

Answer:

(6,0)

Step-by-step explanation:

If the y-coordinate is 0, it is lying on the x-axis

Same with the x-coordinate. If it is 0, it is lying on the y-axis

Does the equation 5(x−3)+6=5x−9 have one, none, or an infinite amount of solutions?

Answers

It has infinite amount of solutions

Work out, giving your answer in its simplest form:
2 1/4 x 3 1/5

Answers

Answer:

36/5 or 7 1/5 or 7.2

(These are all different forms of the same answer)

Method:

2 1/4 = 9/4

3 1/5 = 16/5

9/4 × 16/5 = 144/20

144/20 = 36/5

SOMEONE PLEASE HELP


and please explain it so I won't get confused further on ​

Answers

Number 5 is 110 degrees because it is the same angle as m<2.

Now, to find m<7
A straight line is 180 degrees. One side is already given. m<8+m<7 = 180 degrees. So 180-110=70.

Answers:
4. m<7= 70 degrees

5. m<8= 110 degrees


please helppppppp

give u 10 pts​

Answers

Answer:

y = x / -4

Step-by-step explanation:

Hope that helps!

Use desmos calculator graphing. Tap the plus. Tap table. Enter x1 on one side and y1 on the other. Enter the data for each side. Make a new equation and Use the following formula: y~ab^x1 = y=0.18(0.74)^x

the point P = (x, -5/7) lies on the unit curcle shown below. What is the value of x in the simplest form?

Answers

Answer:

[tex]x =\± \frac{2\sqrt{6}}{7}[/tex]

Step-by-step explanation:

The question has missing details as the unit circle is not shown, However, I'll solve on a general terms.

Given

[tex]P = (x,-\frac{5}{7})[/tex]

Required

Determine the possible value of x

Since point p lies on the unit circle, we'll solve this question using the following unit circle formula:

[tex]x^2 + y^2 = 1[/tex]

Substitute -5/7 for y

[tex]x^2 + (-\frac{5}{7})^2 = 1[/tex]

[tex]x^2 + \frac{25}{49} = 1[/tex]

Collect Like Terms

[tex]x^2 =1- \frac{25}{49}[/tex]

Take LCM

[tex]x^2 =\frac{49 -25}{49}[/tex]

[tex]x^2 =\frac{24}{49}[/tex]

Take the square root of both sides

[tex]x =\± \sqrt{\frac{24}{49}}[/tex]

[tex]x = \±\frac{\sqrt{24}}{7}[/tex]

[tex]x = \±\frac{\sqrt{4*6}}{7}[/tex]

Split

[tex]x = \±\frac{\sqrt{4}*\sqrt{6}}{7}[/tex]

[tex]x =\± \frac{2*\sqrt{6}}{7}[/tex]

[tex]x =\± \frac{2\sqrt{6}}{7}[/tex]

a cow is tied to a pole fixed at the mid-point of a side of a square field of side 40m by means of a 14m long rope find the area that cow can graze pls explain​

Answers

Step-by-step explanation:

The area that cow can graze is in the form of semicircle.

Radius of semicircle

Length of rope =14 m

Required area = 1/2 ×πr

=1/2×22/7×r^2

=1/2×22/7×14×14

=308m2

35x+0.10(100-x)

what’s the answer for this i’ve tried but can’t figure it out someone help me!!!

Answers

Answer:

34.9x+10

Step-by-step explanation:

Answer: solve for X

{

y=0,

y∈R,

 

x

=−1

x=0

Step-by-step explanation:

4. The area of Mr. Badu's rectangular farm is
5500 cm', its width is 11 m. Find the length
of the farm.​

Answers

Answer:

50m

Step-by-step explanation:

5500cm=550m

Area=length*width

550=length*11

length=550/11=50

Simplify. −12x−15−5x+310+32x Enter your answer in the box. Do not use decimals in your answer. 19 points!!! plz help!

Answers

Answer:

25x+295

Step-by-step explanation:

-12x-5x+32x=25x

-15+310=295

Answer:

-4x + 1/10

Step-by-step explanation:

Because I did the test. hope you have a lovley day at K12

please help me will give brainliest

Answers

Answer:

82°

Step-by-step explanation:

[tex] \triangle ABC\sim \triangle PQR... (given) [/tex]

[tex] \therefore m \angle Q = m \angle B... (cast) [/tex]

Therefore,

8x + 50 = 3x + 70

8x - 3x = 70 - 50

5x = 20

x = 20/5

x = 4

[tex] m \angle Q [/tex] = 8x + 50 = 8*4 + 50 = 32 + 50 = 82°

FIND THE DOMAIN AND RANGE!!!!

Answers

For the domain, you would find that all the numbers that go across in the x axis. In this case -3 is less than or equal to x which is less than or equal to 4. Same with the range, different numbers. -3 is less than or equal to y which is less than or equal to 2. Hope this helped!

Una araña de 75g de masa está suspendida de la telaraña que tejio poniéndola en el techo, cómo se muestra en la siguiente figura.
¿cuál es el valor de las tensiones en los hilos de las telarañas unidos al techo? ​

Answers

100 gallon tbh rn because the spider ddint take much

Help Please................

Answers

Answer:

split then d the trinangle with the base and the height and do the rectangle as length times width

Step-by-step explanation:

Answer: 1152

Step-by-step explanation:

I need to find what x

Answers

Answer:

Step-by-step explanation:

Add the 21 then divide by 2

Answer:

x = 16, x = -7

Step-by-step explanation:

The question is;

35 * 4 = ( x - 7 ) ( x - 3 )

Combine like terms on one side;

140 = ( x - 7 ) ( x - 3 )

Distribute, remember to multiply every term with one another;

140 = [tex]x^{2}[/tex] - 3x - 7x + 21

Combine like terms;

140 = [tex]x^{2}[/tex] - 10x + 21

Inverse operations;

140 = [tex]x^{2}[/tex] - 10x + 21

-21                  -21

119 = [tex]x^{2}[/tex] - 10x

Factor;

119 = x ( x - 10 )

At this point it is fairly obvious that;

x = 16, x = -7

Note; One could have used a multitude of methods to solve this problem, one could have factored, completed the square, or used the quadratic formula, this method was simply chosen because it is easy to explain

Please help!!!!!! I will give brainliest!!

Answers

Step-by-step explanation:

6 = 3(-1) +9 yes this is true

5(-1) +6 = 1 Yes this is true

so yes it's a solution because it works in both equations.

What number is 40% of 15? Round to the nearest hundredth

Answers

Answer:

6

Step-by-step explanation:

10% of 15 = 1.5x4=6

help please
-8+(-5)+9+11= ​

Answers

Answer:

=7

Step-by-step explanation:

= -8+(-5)+9+11

= -8-5+20

= -13+20

= 7

-8 - 5 + 9 + 11

-13 + 9 + 11

-4 + 11
= 7

Simplify the expression

Answers

Answer:

-9.8n + 10.9

Step-by-step explanation:

2.9 + 8 = 10.9

-4n + -5.8n = -9.8n

Which expression is equivalent to 4(6x + 12)
a) 68
b) 68x
c) 24x + 48
d) 24x + 12

Answers

Answer:

hello! :) have a good day!

C). 24x + 48

Answer:

c

Step-by-step explanation:

4(6x+12)

4(6x)+4(12)

24x+48

The function g is defined by g(x) = 3x+4.

Find g(z+3).

I really need help with these Aleks assignments, can someone help me with them?

Answers

Answer:g(x) = (x+3)/(x2-4)

 

The domain refers to all of the x values that the function can take on.  In a rational expression like the one above, we have to be careful that the denominator is never 0, since division by 0 is undefined.  We can factor the denominator of g(x) as follows:

 

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

 

The denominator will be zero when x = 2 or -2.  Otherwise, g(x) is defined on all other values of x.  So the domain of g(x) is "x = all x not equal to -2 or 2".  In interval notation, the domain is:

 

(-∞,-2)U(-2,2)U(2,+∞)

 

On a number line, draw it as follows:

 

-∞ <======o=====o=======> +∞

                   -2            2

Step-by-step explanation:

Please help me find x

Answers

you have to find the angles inside the triangle first so

- 180-109 = 71° (angles on a straight line add up to 180°)

- 55° (vertically opposite angles)

71+55= 126

180-126= 54

x=54°

HELP I NEED HELP ASAP

Answers

Answer:

C

Step-by-step explanation:

Answer:

exponential;increase

Step-by-step explanation:

answer is C

The tree frog population in your back yard doubles every two weeks. Currently, there are 10 frogs in your back yard. Assuning that there are 4
weeks in a month how many tree frogs will there be in 3 months?

Answers

Answer:

there would be 40,960 tree frogs i think

Step-by-step explanation:

Answer:

640 tree frogs

Step-by-step explanation:

If 1 month = 4 weeks

3 months = 12 weeks (3x4)

After 2 weeks the frogs double to 20

After 4 weeks the frogs double to 40

6 weeks, it doubles to 80

8 weeks, it's 160

10 weeks it's 320

12 weeks, it's 640

Use the ratio table to solve the percent problem.



What percent is 6 out of 30?


2%

6%

20%

30%
A table displaying Part in one column and Whole in the other. The part column contains 6 and a question mark. The whole column contains 30 and 100.

Answers

Answer:

20%└|∵|┐♪└|∵|┐♪└|∵|┐♪└|∵|┐♪

Step-by-step explanation:

denada ┌(・。・)┘♪

Answer:

20%

Step-by-step explanation:

The table and equation below show the proportional relationship between time, in seconds, x, and distance traveled, in feet, y, for two remote-control cars Car 1 X |y
15 75
17 85
21 105
Car 2 :y = 10x
Which statement is true about the speeds of the two cars? A )Car 1 is traveling faster than Car 2. B )Car 2 is traveling faster than Car 1. C) The two cars are traveling at the same speed. D) The speeds cannot be compared because there is not enough information about car 2​

Answers

Answer:

Step-by-step explanation:

Car 2 is traveling faster than Car 1. Option B is correct.

Given that,
The table and equation below show the proportional relationship between time, in seconds, x, and distance traveled, in feet, y, for two remote-control cars.

What is speed?

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

here,
Speed of the car 1,
= 85 - 75 / 17 - 15
= 10 / 2
= 5 feet/second


Speed of the car 2,
y = 10x
Where 10 is the speed of the car 2 feet per second.
So,
Speed of the car 2  is faster than car 1.

Thus,  Car 2 is traveling faster than Car 1. Option B is correct.

Learn more about speed here:
https://brainly.com/question/7359669

#SPJ5




is the answer 84.2??? if not pls explain THANK U ITS GEOMETRY

Answers

The answer is 12.2129

Sin(40)=x/19
*19 *19
12.2129=x

In ionic bonding, it tends to do which of the following

Answers

Answer:

Transfer of electrons

Form Crystals

High boiling & melting points

Dissolve in water

Good conductor of electricity

Trevon is buying a car. He is borrowing $12,000 from the bank at a rate of 5% for 4 years. At the end of 4 years, how much interest did Trevon pay?

$24,000
$24,000

$2,400
$2,400

$4,800
$4,800

$600

Answers

2,400 I believe because look at it he has a rate of 5%

in the presidential election of 1860, 39.9% of the voters voted for abraham lincoln and 29.4% of the voters voted for stephen douglas. what percent voted for other candidates?

Answers

Answer:

It's 30.7%

Step-by-Step Explanation:

30.7 hope this helps
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