The ratio of boys to girls is 1:2.
Two boys and two girls enter the
room and the ratio is now 5:9.
How many boys and girls were
there originally?

Answers

Answer 1

Answer:let the original number of boys be x

x:2x=1:2

x+2:2x+2=5:9

9x+18=10x+10

x=8

2x=16

Step-by-step explanation:


Related Questions

Find the area of this semi-circle with radius,
r
= 61cm.
Give your answer rounded to 1 DP.

Answers

Answer:

692.7cm²

Step-by-step explanation:

A = πr²/2 = 220.5 * π [cm²] ≈ 692.72 [cm²]

Please Help, Thanks!!
An expression is shown:

(4,215) (0.12)

What is the value of the expression?

Answers

Answer:

505.8

Step-by-step explanation:

4215x0.12=505.8

for which value will the equation have only one solution:x=10​

Answers

Answer:

I think its this

Step-by-step explanation:

x=380=2632≈26.6

Please Answer the 3 questions in the picture

Answers

1.Proportional reasoning compares ratios to answer questions. We can use proportional reasoning to solve some questions directly, such as which size of laundry detergent is the cheapest per load, or what the dimensions of the model car should be.

3.The question is how many ways

There are as a many ways to solve a math problem as you can think of.(Some are shorter or easier than others.)

Essentially, an innfinite number.

sorry I have no idea other questions

1. In diagram below, POTU is a circle and |SR|=|ST|. Find.r.

Answers

The angle of r is 90 degrees. The rectangle touches the circle on each corner and therefore all angles have to be 90, and since one of them is equal to r

Answer:

i think 100 is a required answer.

Expand the following:
a) x(x + 2)
b) x(2x - 5)
c) 2x(3x + 4)
d) 6x(x - 2y)

Answers

a) x²+2x

b)2x²-5x

c)6x²+8x

d)6x²-12xy

IF YOU ANSWER YOU ARE THE BEST

Answers

Answer:

yellow

Step-by-step explanation:

im not sure what its asking so im guessing what the point is

the third option hope this helps have a nice day

Daniel ran 5 kilometers in 40 minutes. Andy ran 4,550 meters in 37 minutes. Who ran faster?
PLEASE GIVE ME EXPLANATION

Answers

Answer:

Daniel

Step-by-step explanation:

Daniel ran 5000/40=500=4=125 meters in 1 minutes

Andy ran 4550/37=122.9729... some less than 123 meters in second

Daniel was faster than Andy

if triangle abc is similar to triangle edc find the value of x

Answers

Answer:

x = 15

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{BC}{DC}[/tex] = [tex]\frac{AC}{EC}[/tex] , substitute values

[tex]\frac{3x-5}{32}[/tex] = [tex]\frac{5x-5}{56}[/tex] ( cross- multiply )

56(3x - 5) = 32(5x - 5) ← distribute and simplify both sides

168x - 280 = 160x - 160 ( subtract 160x from both sides )

8x - 280 = - 160 ( add 280 to both sides )

8x = 120 ( divide both sides by 8 )

x = 15

What does the fact that the expressions are equivalent mean?

Answers

Answer:

The fact that the expressions are equivalent means that for any value of the variables, the two expressions have the same solution.

Step-by-step explanation:

Answer:

if they have the same value irrespective of the value of the variable(s) in them

Which equation is NOT written in slope-intercept form?

Answers

Answer and Explanation

__________________________________________________________

B) 2x - 5 = 2y + 14

__________________________________________________________

slope intercept form: y = mx + b

__________________________________________________________

B) 2x - 5 = 2y + 14 is the only answer choice that does not isolate y, and place all other terms on the other side; therefore, is your answer.

__________________________________________________________

Hope this helps! <3

__________________________________________________________

A dog kennel charges $40 to board a dog for one night and $35 per night each night after that. Henry
paid a total of $215 for dog boarding. For how many nights did Henry board his dog?

Answers

Answer: 6 nights

Step-by-step explanation:Step-by-step

Minus 40 from 215 then divide it by 35

The area of a square is given by the formula A=s, where s is the length of the side. What is the area of the square shown? ​

Answers

Answer:

a^4b^2

Step-by-step explanation:

s represents one side, or a^2b

so if s^2=A and s=a^2b then A=(a^2b)^2 or a^4b^2

Mr. Howard entered a canoe race. He rowed 3 1/2 miles in 3/4 hour. How many miles can he row in one hour???

Answers

Answer:

9 miles per hour

Step-by-step explanation:


Apply the distributive property using the greatest common factor to write an equivalent expression.
Enter your answers in the boxes.
0.3x – 2.7 =T0-0)

Answers

Step-by-step explanation:

0.3x = (0.3)(x).

2.7 = (0.3)(9).

Between the 2 terms, the GCF is 0.3.

Hence,

0.3x - 2.7

= (0.3)(x) - (0.3)(9)

= 0.3(x - 9).

hii I really need help!!
sorry if it’s kinda long lol.

question:

Sonia has two packages of hamburger meat. The first package weighs 1.76 pounds and the second package weighs 2.29 pounds. She mixed the two packages together and forms hamburgers that weigh 0.25 pounds each. What is the greatest number of 0.25-pound hamburgers Sonia can make using the hamburger meat she has?

Answers

Answer:

16

Step-by-step explanation:

2.29+1.76=4.05

4.05/0.25=16.2

round down to 16

you would have a little extra but you would only be able to make 16 .25 pound ones

Tamu ran 30 minutes and burned 170 calories. PART A: Which equations can be used to find the average number of calories, c, burned per minute? *

Answers

Answer:

÷

Step-by-step explanation:

I would divide 30 minutes by 170 and it should give you exactly how many calories that is burn per minute .

A Web music store offers two versions of a popular song. The size of the standard version is 2.8 megabytes (MB). The size of the high-quality version is 4.1
MB. Yesterday, there were 1600 downloads of the song, for a total download size of 5624 MB. How many downloads of the high-quality version were
there?
Number of high-quality version downloads:

Answers

Answer:

Number of high quality version downloads = 880

Step-by-step explanation:

Let,

x be the number of standard version songs downloaded

y be the number of high quality version songs downloaded

According to given statement,

x+y=1600        Eqn 1

2.8x+4.1y=5624     Eqn 2

Multiplying Eqn 1 by 2.8 to eliminate x

2.8(x+y=1600)

2.8x+2.8y=4480     Eqn 3

Subtracting Eqn 3 from Eqn 2

(2.8x+4.1y)-(2.8x+2.8y)=5624-4480

2.8x+4.1y-2.8x-2.8y=1144

1.3y=1144

Dividing both sides by 1.3

[tex]\frac{1.3y}{1.3}=\frac{1144}{1.3}\\y=880[/tex]

Hence,

Number of high quality version downloads = 880

Which mesure of central tendency represents the average data point?
A) mode
B) mean
C) median
D) range

Answers

Answer:

mean is correct option it will

Answer:

It will be B. mean

Step-by-step explanation:

Hope this helped have an amazing day!

solve x

4x-5 /5 = 3

Answers

Answer:

x = 1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4x−

5

5

=3

4x+−1=3

4x−1=3

Step 2: Add 1 to both sides.

4x−1+1=3+1

4x=4

Step 3: Divide both sides by 4.

4x

4

=

4

4

x=1

please help me !!:)))

Answers

Answer:

on

Step-by-step explanation:

Solve for t. 5 (t + 3) = -3.5 Enter the answer in the box.​

Answers

Answer:

i believe its 3t + 5 = -3.5

iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiihi

Answers

Do _____ times ______

Answer:

HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII

Step-by-step explanation:

how are you

A rectangular prism is 1 inch long and 2 inches wide. Its volume is 12 cubic inches. What is the height of the rectangular prism?

Answers

Answer: 6 inches

Explanation:

12 = 1(2)h

12 = 2h

12 ÷ 2 = 2h ÷ 2 (isolating the H term)

6 = h

SOMEONE PLEASE HELP ME WITH THIS!!!!! ITS GEOMETRY

Answers

Answer:

KG = 7 (A)

m KIH = 28 (B)

m JIH = 96 (D)

m HKI = 68 (B)

m KJI = 84 (C)

Step-by-step explanation:

Notice that the triangle HKJ is identical to HIJ. Since there are lines drawn to each other and both triangles are identical, the lines KG and GI are the same. This means that it is 7.

The triangle KGJ is identical with IGH. Using the recognise angle property, we know that angle JKI is the same as KHI. This means that it is 28.

Angle JIH is the same as angle JKH. Since JKH is 180 - (KHI or 84), we know that the angle JIH is 96.

We can find angle HKI by subtracting 96 by 28 because we know that angle HKI is the same as JIH. This gives us 96-2 8 = 68.

Angle KJI is the same as KHI which is 84. Therefore, KJI is also 84.

Are 2(x + 1) and 2x + 1 equivalent expressions? explain.

I’m not in a hurry, take your time.

Answers

Answer:

Yes

Step-by-step explanation:

When you simplify 2(x+1). [MULTIPLY]

It comes 2x+1 so it is equivalent to 2x+1

Yes,  2(x + 1) and 2x + 1 are equivalent algebraic expression.

Given that,
To determine whether the  2(x + 1) and 2x + 1 are equivalent expressions.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let
y = 2 (x + 1) - - - - - -(1)
z = (2x + 1)  - - - - -  (2)

from equation1
y = 2 (x + 1)
using the PEMDAS rule, applying operation on the parenthesis 1st as distributive property,
now,
y = 2x + 1
Since the outcome of the equation is equal to equation 2.

Thus, 2(x + 1) and 2x + 1 are equivalent algebraic expression.

Learn more about simplification here:
https://brainly.com/question/12501526

#SPJ2

What is the area of the real object that the scale drawing models?
Scale factor: 1:6
Area =
15 square cm
Scale drawing
Object
O A. 90 square cm
B. 15 square cm
C. 180 square cm
O D. 540 square cm

Answers

Answer: 10 ft = 10(12) = 120 inches. Area = length x width. Area = 96(120) = 11520 sq. in. An 8 inch square = 8 x 8 = 64 sq. in. 11520 divided by 64 = 180 tiles.

Step-by-step explanation:

Answer:

its 540

Step-by-step explanation:

Felicia earns $1,200 a month. The table displays her monthly budget

Answers

Answer:

No table shown

Step-by-step explanation:


(f +g)x= g(x)+ f (x)

Is the this true or false?

Answers

Answer:

True

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

This is true by definition.

Joanie has two 12-inch long wood pieces and two 16-inch-long wood pieces. What is the combined length of the wood pieces?

A. 28 inches
B. 32 inches
C. 56 inches
D. 192 inches

Answers

Answer is C hope it’s right
Other Questions
Find the mean of the data plot below. Answer the questions below. Write your answers in simplest form.(a) A square has an area of 144 ft . What is the length of each side?(b) A square has a perimeter of 28 yd. What is the length of each side? Please answer i need it will give brainiest helpThree salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900. The weekly paycheck amount for each salesman, p, is a function of the number of sales, s, they had in that week. Is the function representing the weekly paycheck amount of Salesman A a proportional relationship? Use complete sentences to explain your reasoning.Is the function representing the weekly paycheck amount of Salesman B a proportional relationship? Use complete sentences to explain your reasoning.Is the function representing the weekly paycheck amount of Salesman C a proportional relationship? Use complete sentences to explain your reasoning. Not sure if it's right?? but I clicked yes Calculate the following:1. Mass of 4.3x10-3 mol of lead2. Mass of 3.8x1022 antimony atoms3. Number of atoms in 15.5 kg of tungsten k(4 - 17) in expanded form A balloon is filled with helium gas has a volume of 1.0 L at a pressure of 1.0 atm. Theballoon is released and reaches an altitude where the pressure is now 0.4 atm. What is thenew volume of the balloon at this altitude assuming the air temperature has not changed? A small amount of solid potassium dichromate is added to water and stirred until all of the solid has dissolved and a clear orange liquid is produced. This process may be described as: Group of answer choices the formation of a heterogeneous mixture. dissolution of the molecular compound sublimation. dissolution and dissociation of the ionic compound. Write a hypothesis about the effect of the red light on the population. Use the "if . . . then . . . because . . ." format, and be sure to answer the lesson question: "How does natural selection change the phenotypes within a population over time?" .............they literally didn't talk about this in class......... Who would most likely have said the following? HELP ASAP PLEASE!!! Jungle book Questions: (easy points!)pls answer as many as you can and don't steal the points (I will report!)1. Mowgli is the main character in "The Jungle Book." What is he best described as?2. Why do the wolves reluctantly expel Mowgli from the pack when he is ten years old?3. Where does King Louie live?4. Why does sheer khan the tiger think Mowgli is a threat?5. What experience do you think he had with humans?6. Compare and contrast Harlow Monkey experiment to the movie the jungle book. How does Mowgli interact with the animals and people. Why do you think he interacts this way with each group? Write 2 paragraphs with at the least 8 sentences. 5CaO4How many total elements are in the chemical formula? How many atoms of oxygen are in the formula? How many atoms of calcium are in the chemical formula? How many total atoms are in the chemical formula? Which number is the subscript?Which number is the coefficient? Which equations for the measures of the unknown angles x and y are correct? Check all that apply. x = cos1(StartFraction a Over c EndFraction) x = sin1(StartFraction c Over b EndFraction) x = tan1(StartFraction c Over a EndFraction) y = sin1(StartFraction a Over c EndFraction) y = cos1(StartFraction c Over b EndFraction) A ball is thrown from an intial height of 5 feet with an intial upward velocity of 17 ft/s. The ball's height h in feet after t seconds is given by the following.h=5+17t-16t^2Find all values of t for which the ball's height is 9 feet.Round your answer(s) to the nearest hundredth. Each unique element is determined by the number of how many How do I say "I protect my dog" in Spanish? Can someone help me summarize this page I would really appreciate it. Name the four main categories of carbon compounds that are important to the structure and function of cells. Provide an example of each.