Mathematics High School

Mr Lim put some red pens and blue pens into a box . The ratio of the number of red pens to the number of blue pens was 3: 4 .He pet another 20 red pens into the box and the ratio of the number of red pens to the number of blue pens became 2:1 (a) How many red pens were there in the end? (b) How many blue pens were there?

Answers

Answer 1

Answer:

a) There were 32 red pens and b) 16 blue pens.

Step-by-step explanation:

3:4

for 3:4 to be 2:1 we should add 5 in order for it to be 8:4 (2:1)

20 divided by 5 is equal to 4

8:4

8 times 4 is equal to 32

4 times 4 is equal to 16

Answer 2

The number of red pens that were there, in the end, is 32 pens while the number of blue pens that were there, in the end, is 16 pens

If the ratio of the number of red pens to the number of blue pens was 3: 4,

If  20 red pens are added into the box and the ratio of the number of red pens to the number of blue pens became 2:1, this means that the  5 is added to  the original ratio to have:

(5+3): 4 = 8:4

The number of red pens in the end  = [tex]8 \times \frac{20}{5}=8\times 4 = 32[/tex]

The number of red pens in the end  = [tex]4 \times \frac{20}{5}=4\times 4 = 16[/tex]

Hence the number of red pens that were there, in the end, is 32 pens while the number of blue pens that were there, in the end, is 16 pens

Learn more here:

https://brainly.com/question/3796978

Related Questions

algebraic expression the sum of 12 and k​

Answers

The answer is 12+k because sum means addition and it says 12 and k therefore you and 12 and k together and the algebraic expression would be 12+k

A leaf fell into a river and traveled 140 meters in 4 minutes
How many meters did the leaf travel per minute?

Answers

Answer:

35 meters per minute

Step-by-step explanation:

140 meters/4 minutes = 35 meters/minute

Answer:

35 meters per minute

Step-by-step explanation:

140÷4=35

35 meters per minute

Choose 3 answers
A. Obtuse triangle
B. Isosceles triangle
C. Acute triangle
D. Scalene triangle
E. Right triangle
F. Equilateral triangle
Help !

Answers

Answer:

C:Acute traingle

Acute traingle

I know this triangle is equilateral and acute, but I'm not sure what the third choice would be.

The Are the two Angles that are non-adjacent to the specified exteriors angle

Answers

The remote interior angles of a triangle are the two angles that are non-adjacent to the specified exterior angle.

Need help ASAP
Thankss + BRAINLIST only for correct answer

Answers

Answer:

(2,0)

Step-by-step explanation:

2x-y=4

Substitute x with 2, and y with 0.

2(2)-0=4

2 multiplied to 2 is 4, then subtracted to 0 would be 4, thus it is correct.

3x-y=6

Substitute x with 2, and y with 0.

3(2)-0=6

3 multiplied to 2 is 6, then 6 subtracted with 0 is 6, thus it is correct.

What is the product ([tex](7\sqrt{8} +3\sqrt{12} )(7\sqrt{8} -3\sqrt{12})[/tex]?

Answers

the product should be 284.

Identify the terms, variables, coefficients and constant..

Expression: 7+5c-2k-15

Terms:

Variables:

Coefficients:

Constants:

Answers

Answer:

Terms: 7, 5c, 2k, 15

Variables: C, K

Co efficients: 5, 2

Constants: 7, 15

help me pls
help me pls
help me pls
help me pls

Answers

Answer:

The correct answer is 12

Answer:

the answetr is 3.5

Step-by-step explanation:

whats A-84=747 in its simplest form

Answers

Answer:

A=747+84=831

Step-by-step explanation:

Plus 84 at both side

Answer: A=831

Step-by-step explanation: Hope this helps have a nice day! -Lily ^-^

Frances can complete 919191 oil changes in 777 days.
How many oil changes can Frances complete in 111111 days?
show your work or not

Answers

Answer:

Frances will complete 131,444,313 oil changes.

Step-by-step explanation:

919191 oil changes=777days

         ?                     =111111 days

=(919191*111111)/777

=131,444,313 oil changes

x-5= -4
what is the answer for x?

Answers

Answer:

x = 1

Step-by-step explanation:

by solving the equation we get ;

x -5 = -4x = -4 + 5x = 1

Step-by-step explanation:

x = 1

hope it helps

Be happy and make happy

How many centimeters are equal to 5 inches?
Remember, 2.54 cm = 1 in. Do not include units in
your answer.

Answers

Answer:

12.7 is your answer

5 x 2.54 = 12.7

Eliz spends $16.25 each month on song downloads. At this amount, how much will Eliz spend on song downloads after two years
?

Answers

Answer:

$390.00

Step-by-step explanation:

$16.25×24=390.00

=$390.00

Pablo uses 12.5 cups of flour to make 5 batches of muffins. How many
cups of flour did he use per batch?

2.5 cups
25 cups
2 cups
65 cups

Answers

Answer:

2.5 cups

Step-by-step explanation:

12.5÷5=2.5 cups

hope that helped :)

is is 2.5 cups per batch

Rotation 180° counterclockwise around the origin of the point (4, -1)

Answers

(-4,1) is the answer

Answer:

(-4, 1).

Step-by-step explanation:

For 180 counter clockwise rotation  (x, y) ------> ( -x, -y)

So ( 4, - 1) -------> (-4, 1)

In the triangle below, ∠Q is a right angle. Which ratio would be equivalent to the ratio of sin∠R?
a) cos∠Q
b) cos∠S
c) sin∠Q
d) sin∠S

Answers

Answer:

b) cos∠S

Step-by-step explanation:

sin ∠R = SQ/SR

This is same as:

cos S

Correct option is b)

cos<Q

Lets do

[tex]\\ \sf\longmapsto sin<R=\dfrac{P}{H}[/tex]

[tex]\\ \sf\longmapsto sin<R=\dfrac{SQ}{SR}[/tex]

Now

[tex]\\ \sf\longmapsto cos<Q=\dfrac{B}{H}[/tex]

[tex]\\ \sf\longmapsto cos<Q=\dfrac{SQ}{SR}[/tex]

There is a bag filled with 4 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 blues?

Answers

4/9 (4 out of 9) because you add them all together then count the number of blue marbles then since you put back the first marble, the dominator is still the same

Help meeeeeeeeeeeeeeeee

Answers

Answer:

c

Step-by-step explanation:

there are 8 parts and 4 of them are red= 4/8

which simplifies to 1/2

In the zoo, there are 12 elephants, 8 giraffes, 9 lions, 10 seals, and 16 otters.

What is the ratio of elephants to all the animals at the zoo?

Answers

Answer:

16/55

Step-by-step explanation:

If you add all the animals together then put it in fraction form you have 16/55

THE ANSWER SHOULD BE 12:55

can someone help me with this please, i am not sure what to do

Answers

Answer:

I attached the graph below

Step-by-step explanation:

I started at the y-intercept, because it is where the line crosses the y-axis.  Then, I used rise/run for the slope (-5/3) and went down 5 units and right 3 units.  I connected the points to make the graph.  

There are 120 Calories in a 34-cup serving of cereal. How many Calories are there in 6 cups of cereal?
​

Answers

Answer:

960 calories

Step-by-step explanation:

Answer:

there are 960 calories in 6 cups of cereal.

Step-by-step explanation:

B is the midpoint of AC, AB = 3x + 7, and BC = 2x + 10. Find AB, BC, and AC.

PLEASE HELP

Answers

Answer:

Step-by-step explanation:

10) What is the area of the figure below? Round your answer to the nearest tenth (1 place
value) if needed.

Answers

Answer:

Step-by-step explanation:

Divide the figure into a rectangle and a triangle.

area of rectangle = 5×10 = 50 square units

area of triangle = 0.5×5×10 = 25 square units

total area = 50+25 = 75 square units

Zach paid $56.50 including sales tax for a book priced at $45. What was the sales tax rate?

Answers

Answer:

25.56% or $11.50

Step-by-step explanation:

I took it and put it in a sales tax calc.

X/5+ 7 = y Solve for x
pls hurry

Answers

Answer:

x=5y-35

Step-by-step explanation:

Write an equation in slope intercept form for the graph of the line.

Answers

y = 2x - 3

Hope this helps!!!!!

Find the y-intercept of the line on the graph.
Enter the correct answer

HELP PLEASE!!! i’ll give brianliest

Answers

Just figure it out lol

Answer:

(0,4)

Step-by-step explanation:The y intercept is where the line passes through the y-axis.

A football team carried out a report to see the impact of stretching on preventing injury. Of the 60 footballers in the squad 48 stretch regularly. Of those who stretch, 8 got injured last year. There was a total of 17 injured players last year.
The results can be presented in a frequency tree. What fraction of players who do stretch get injured?

Answers

Answer:

1 in every 6 players 1/6

8/48=1/6

in a search engine, 40,000 searches are done every minute.
How many searches are done in an hour?
write your answer in standard index form

Answers

Answer:

2400000 in a hour

Step-by-step explanation:

40,000 × 60 = 2400000 you need to multiple 40,000 with 60 because there is 60 minutes in a hour

Use the graph or table to write a linear function that relates y to x.
Determine whether the graph of the linear function is increasing,
decreasing, or constant.

Answers

Answer:

x=2

y=1

constant

Step-by-step explanation:

each function has a slope of 2

I hope X=2 y=1 hope this helps
Other Questions
compare fractions, -10 1/5 and -10 1/4 3.3.PS-14Question HelpA salesperson at a jewelry store earns 4% commission each week. Last week, Jarrod sold $450worth of jewelry. How much did he make in commission? How much did the jewelry store makefrom his sales?Jarrod earned $ in commission.Enter your answer in the answer box and then click Check Answer. Who is the antagonist in The Giver? How would you describe this character? What does he or she value or believe? What motivates this person and how does this influence events in the novel? Slope and Y-Intercept:Determine the slope and y-intercept1. y = 4x + 3 m = ____ b = _____2. y = -5x m = ____ b = _____ A surfboard has an original price of $259. It is on sale for 55% off the original price. write 2+3n=4n in a sentence for the equation describe the sequence of translations used to move figure 1 onto figure 2 1. Solve the system of equations.y = 3x + 4x + 4y = 6A. x = 2,y = 1B. x = 2,y = 10C. x = 2,y = 2D. x = 3,y = 5E. x = 4,y = 8 A bracelet is marked down 20%. The original price is $37.50. How much is the discount? $45.00 $7.50 $30.00 $1.88 Bryans hockey team is purchasing jerseys. The company charges $250 for a one-time set-up fee and$23 for each printed jersey. Which expression represents the total cost of x number of jerseys for the team?1) 23x(2) 23x + 250(3) 23 + 250x(4) 23(x + 250) pls answer help this is due today and i need the answer How did river systems benefit the development of China's civilization? O They helped limit the flooding of surrounding land. O They provided fresh water and fertile soil for farming. O They allowed access to South Asian and Middle Eastern civilizations. O They provided natural barriers that protected the region and kept it isolated. What the area for thos? A= 1/2 (bxh) Dont need to show work 14. Given f(x) = x - 3 and g(x) = 4x, find g(f(6)).A. 3B. 21Cu 12D. 24 What 3 systems get put to work when feeding and how does each one work when you eat? Solve for x solve for x solve for x plzz help meee!!!!12. Describe how a screenwriter reveals information about the characters and their personalities. The length of a DNA nucleotide building block is about 1 nanometer, or 0.000000001 meters. Fill in the blank to write this number in scientific notation. My mother purchased 8 Pepsi products at Bi-Lo for $14.00. What is the price perproduct?