The ratio of yellow to blue skittles in a bag is 5:9. If there are 12 more blue skittles in the bag than yellow skittles, how many yellow skittles are in the bag?

Answers

Answer 1

Answer:

The number of yellow skittles in the bag is 15 yellow skittles

Step-by-step explanation:

The ratio of yellow to blue skittles in the bag is 5:9

The number of blue skittles in the bag = 12 + The number of yellow skittles in the bag

From the ratio of yellow to blue skittles in the bag, we have;

Fraction of the total skittles that are yellow = 5/(5 + 9) = 5/14

Fraction of the total skittles that are blue = 9/14

Whereby placing the number of yellow skittles as Y, and the number of blue skittles as B we have;

The number of blue skittles = Y + 12

The total number of skittles = Y + Y + 12 = 2·Y + 12

Whereby the fraction of the total skittles that are blue = 9/14, we have

9/14 × (2·Y + 12)  = Y + 12

9 × (2·Y + 12) = 14 × (Y + 12)

18·Y + 108 = 14·Y + 168

18·Y - 14·Y = 168 - 108 = 60

4·Y = 60

Y = 60/4 = 15

∴ The number of yellow skittles in the bag = 15

The number of blue skittles is given as = Y + 12 = 15 + 12 = 27.


Related Questions

John went on a bike ride to the store 4 miles away. If it took 3/10 of and hour to get there and 1/2 of an hour to get back, what was his average rate of speed for the entire trip

Answers

Answer:

10mph or 10 miles per hour

Step-by-step explanation:

From the question,

John ride 4 miles to the store and 4 miles back

Total distance travelled = 4 miles + 4 miles

= 8 miles

Total time travelled

Time to the store = 3/10 of an hour

Time back from the store = 1/2 of an hour

Total time travelled

= 3/10 + 1/2

= (3 × 2) +(10 × 1)/20

= 6 + 10/20

= 16/20

= 4/5

Total time travelled= 4/5 hour

His average rate of speed for the entire trip formula =

Speed = Total distance travelled (miles)/ Time (hour)

= 8/(4/5)hour

= 8 ÷ 4/5

= 8 × 5/4

= 40/4miles/ hour

= 10 miles/ hour

Therefore, his average rate of speed for the entire trip is 10 miles/hour

Solve: (5x - 3y + 2z)²

Answers

Answer:

25[tex]x^{2}[/tex] - 30xy + 20xz + 9[tex]y^{2}[/tex]  - 12yz + 4[tex]z^{2}[/tex]

Step-by-step explanation:

We multiply it out.

(5x - 3y + 2z) * (5x - 3y + 2z)

5x*5x + 5x*-3y + 5x*2z - 3y*5x - 3y*-3y -3y*2z + 2z*5x +2z * -3y +2z *2z

25[tex]x^{2}[/tex] - 15xy + 10xz - 15xy + 9[tex]y^{2}[/tex] - 6yz + 10xz - 6yz + 4[tex]z^{2}[/tex]

Add like terms

25[tex]x^{2}[/tex] - 15xy - 15xy + 10xz + 10xz + 9[tex]y^{2}[/tex] - 6yz - 6yz + 4[tex]z^{2}[/tex]

25[tex]x^{2}[/tex] - 30xy + 20xz + 9[tex]y^{2}[/tex]  - 12yz + 4[tex]z^{2}[/tex]

Help me please it’s practice

Answers

-3x+80>20
You then move the 20 to right hand side
-3x>20-80
So 20-80 = -60
-3x>-60
You then divide them

= x < 20

simplify this expression 10x-5y+2x-37

Answers

Answer:

12x-5y-37

Step-by-step explanation:

10x-5y+2x-37

10+2

12x-5y-37

The answer too this problem is 12x-5y-37

angle 2 and angle 4 are vertical angles prove angle 2 is congruent to angle 4

Answers

Answer:

use therome 2 and 3 and try it

Answer:

answer in picture

Step-by-step explanation:

Please help!! Which of the following expressions is equivalent to (-7)^5? A)-7x-7x-7x-7x-7 B)-7x5 C)(-7)x7x(-7)x7x-7 D)5x5x5x5x5x5x5

Answers

(-7)^5 means that we are multiplying -7 to it self 5 times.

The only option that shows this is option A.

Best of Luck!

Answer:

7x7x7x7x7= 16807 A is correct.

Step-by-step explanation:7(77777) this means 7 is multiplying itself 5 times

Goodluck:)

please help meeee!!!!!! complete the equation below. (4x)^-2(4x)^3(4x)^9 =(4x)______.

Answers

Answer for the blank is: 10

The exponents are -2, 3 and 9. Note how the bases are all the same at 4x. When we multiply exponential expressions like this, we add the exponents. So we'll get -2+3+9 = 1+9 = 10 as the final exponent over the base 4x

In short,

[tex](4x)^{-2}*(4x)^3*(4x)^9 =(4x)^{-2+3+9} = (4x)^{10}[/tex]

please help meeee!!!!!! complete the equation below. (4x)^-2(4x)^3(4x)^9 =(4x)=10

What is the solution to the equation One-third (x minus 2) = one-fifth (x + 4) + 2? x = 12 x = 14 x = 16 x = 26

Answers

Answer:

x = 26

Step-by-step explanation:

1 / 3 (x - 2) = 1 / 5 (x + 4) + 2

1/3x - 2/3 = 1/5x + 4/5 + 2

1/3x - 1/5x = 4/5 + 2/3 + 2

(5x - 3x)/15 = (12 + 10 + 30) / 15

2x / 15 = 52 / 15

2x = 52

x = 52 / 2

x = 26

Answer:

x=26

Step-by-step explanation:

six less than three times a number. write an algebraic expression to represent the given phrase

Answers

Answer: 3x-6

Step-by-step explanation:

Let the number be x

3 times the number is 3x

6 less than 3x is 3x-6

What is the midpoint between the points (-4, 4) and (7, 7)?

Answers

the midpoint of the line segment would be (1.5, 5.5)

Peter draws lines r and s as two distinct parallel lines. Select each statement that is true about lines r and s. Lines r and s have exactly one point in common. Lines r and s form at least one right angle. Lines r and s will never intersect. Lines r and s have no point in common.

Answers

2 Answers: Choice C, Choice D

=========================================================

Let's go through the answer choices one by one

A) This is false because parallel lines do not cross or intersect. They cannot have a point in common.B) This is false because lines need to cross in order to form a right angle. C) This is true. Parallel lines never intersect. They are the same distance away from one another at any point along either line. One example of parallel lines are the metal tracks in a railroad.D) This is true. Having a point in common means a point is on both lines at the same time, but parallel likes never cross. So they have no points in common.

Let's find 1/8 + 1/2 . First, write the addition so the fractions have denominator . Then add.

Answers

Step-by-step explanation:

1/8+1/2make both denominators 8

in 1/2 multiply both the numerator and the denominator by 4to get 4/8

1/8 + 4/8=5/8

Translate each sentence into a equation

Answers

Answer:

1.     q + 4t = 29

2.     n² + 12 = p /4

3. ( 1/2  j) -5 = k+12

4.  3b -100 = 6xb

5.  g³ = 24 x (g+4)

Step-by-step explanation:  Math language is very simple but needs to be learnt

of   means   x or mulitply

sum means +

is   means  =

a quotient of x and y = x/y which means division

times means  to multiply ( x)

less means  to subtract  ' - '

x to the third power means  x to the exponent 3  or    x³

Simply the following expressions:

Answers

Answer:

6.     (2x - 1)

      (3x + 2)

8.       y - 3    

     y² - 3y + 9

Step-by-step explanation:

6.   2x² + 9x - 5

      3x² + 17x + 10

= (2x - 1) (x + 5)

  3x² + 17x + 10

= (2x - 1)  (x + 5)

  (3x + 2) (x + 5)

= (2x - 1)

  (3x + 2)

8.  y² - 9  

    y³ + 27

= (y + 3) (y - 3)

      y³ + 27

=     (y + 3) (y - 3)    

  (y+3) (y² - 3y + 9)

=     y - 3    

  y² - 3y + 9

Answer:

see below

Step-by-step explanation:

6)

2x² + 9x - 5

------------------

 3x² + 17x + 10

(2x - 1) (x + 5)

--------------------

 3x² + 17x + 10

(2x - 1)  (x + 5)

--------------------

(3x + 2) (x + 5)

(2x - 1)

-----------

(3x + 2)

8)

y² - 9  

------------

y³ + 27

(y + 3) (y - 3)

--------------------

   y³ + 27

(y + 3) (y - 3)    

--------------------

(y+3) (y² - 3y + 9)

     y - 3    

---------------------

 y² - 3y + 9

PLEASE HURRY, ITS TIMED >>>>...

Answers

Answer: the answer is A

Step-by-step explanation:

M and O is collinear. N is not because it is in the middle of that intersection

(01.01 MC)Which number line shows the solution to 6 + (−6)? A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to negative 12 is shown. A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to 6 is shown. Above this, another arrow pointing from 6 to 0 is shown. A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to positive 6 is shown. A number line is shown from negative 12 to 0 to positive 12. There are increments of 2 on either side of the number line. An arrow pointing from 0 to 6 is shown. Above this, another arrow pointing from 6 to 12 is shown. PLS HELP ASAP !!!!!! WILL GIVE BRAINLIEST!!!!

Answers

Answer:

the first one

Step-by-step explanation: it worked for me i passed it

Is 740 divisible by 10?
yes
no

Answers

Answer:

yes

Step-by-step explanation:

since it ends with a zero it is divisible by ten. If you take the 0 off of 740 then it would be 74 and 74x10=740

Hope this helps.

I NEED AN ANSWER NOW!!! This is passed due!!! Dhruv is a car salesman. He is paid a salary of $2,200 per month, plus $500 for each car that he sells. His salary can be modeled by the equation f(x) = 500x + 2200, where x is the number of cars sold. Graph this equation and give its domain and range. A. D: {$500, $2700, $4900, $7100,...} R: {0, 1, 2, 3,...} B. D: {0, 1, 2, 3,...} R: {$2200, $2700, $3200, $3700,...} C. D: {0, 1, 2, 3,...} R: {$500, $2700, $4900, 7100,...} D. D: {$2200, $2700, $3200, $3700,...} R: {0, 1, 2, 3,...}

Answers

Answer:

B. D: {0, 1, 2, 3,...} R: {$2200, $2700, $3200, $3700,...}

Step-by-step explanation:

Given function is

f(x) = 500x + 2200

The graph  of this function is attached

Domain is input valueRange is output value

Correct set of domains and ranges of the given function is:

Option BD: {0, 1, 2, 3,...} R: {$2200, $2700, $3200, $3700,...}

Solve for the variable x

m = -12g + x

Answers

Answer:

x=m+12g

Step-by-step explanation:

m=-12g+x

making x subject of formula, we have,

x=m+12g

Hello there!

Question:-

[tex]\sf \longmapsto \: m = -12g + x[/tex]

We need to find the value of x.

Solution:-

[tex]\sf \: m = -12g + x[/tex]

Firstly, Over turn the equation:-

[tex]\sf \longmapsto - 12g + x = m[/tex]

Then Add 12 g to both sides:-

[tex]\sf \longmapsto - 12g+x+12g=m+12g[/tex]

This equation may be rewritten as :-

[tex]\sf \longmapsto - 12g + 12 g + x = m + 12g[/tex]

On Simplification:-

As (-) and (+) equals to (-),

[tex]\sf \longmapsto \: 1g + x = m + 12g[/tex]

[tex]\sf \longmapsto \: x = m + 12g[/tex]

______________________________________

Henceforth,the value of x is :-

[tex] \boxed{\huge \tt \: x = 12g + m}[/tex]

_______________________________

Please let me know if you have any questions.

~MisterBrian

The quotient of forty-five and a number, r ​

Answers

The quotient of 45 and r is 45r . A quotient is the result of a division. For example, 84=2 . So, 2 is the quotient.


The perimeter of a rectangle is 34 units. If the width
is 5 units, what is the area of the rectangle?

Answers

The answer would be 42.5, because 34 divided by 4 is the length(8.5) Length(8.5) times width(5) is 42.5

Write 5.375 as a mixed number in simplest form

Answers

Answer:

5 3/8

Step-by-step explanation:

Step 1:

0.375 = 3/8

Step 2:

5 + 3/8

Answer:

5 3/8

Hope This Helps :)

Which graph represents a reflection in the y-axis?
Please and thank you

Answers

Answer:

B

Step-by-step explanation:

A reflextion across the y axis is across the center line.

(QUICK RESPONSE!) Fiona enlarges a parallelogram that has a perimeter of 17 meters. What is the perimeter of the enlarged parallelogram?
A.30 meters
B.73.5 meters
C.102 meters
D.105 meters

it C.102 meters

Answers

Answer:

c.102 meters

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The Palue of the digit in the hundredths place is
times as great as the digit in the tenths place.
Work it out
hop



Answers

Answer:The value of the digit in the hundredths place is 10 times as great as the value of the digit in the tenths place.

Explained: The model shows that your number is 0.11

We have to find what we can multiply to become the 1 in the tenths place. Since they are the same number but in different places, we just multiply it by 10 to change the value.

So, if you multiply 10 by the 1 in the hundredths place, it will get you to the 1 in the tenths place.

Hope it helps

Which of the following is Equivalent to
3x - 4y = 6 ? Solve for y.​

Answers

Answer:

Y = 3/4X - 3/2

Step-by-step explanation:

3X - 4y =6

3X - 6 =4Y

Y = 3/4X - 3/2

The value of Y for the expression 3x - 4y = 6 will be Y = 3/4X - 3/2.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given expression is 3x - 4y = 6. The value for y will be calculated as,

3X - 4y =6

Rearrange the above equation and solve for Y,

3X - 6 =4Y

Y = 3/4X - 3/2

To know more about an expression follow

https://brainly.com/question/28725261

#SPJ2

The difference of a number n and the number 8 is 42. Which of
the following equations represents this statement?

A)n/8 = 42
B) n - 8 = 42
C)n + 8 = 42
D) 8n = 42
E) n = 5

Answers

Answer:

B) n-8=42

Step-by-step explanation:

"difference" means subtraction.

the number is represented by "n" in this problem.

"and" indicates where the symbol goes.

"is" means "=".

The equation that represents the given statement should be n-8 = 42.

Given that

The number n and the number 8 difference should be 42.

Based on the above information,

We know that the difference means subtraction.

So, the following equation should be made.

n - 8 = 42

Therefore we can conclude that The equation that represents the given statement should be n-8 = 42.

Learn more about the equation here: brainly.com/question/21105092

to find the sum of 4 and -5.

Answers

Answer:

-1

Step-by-step explanation:

-5 + 4 = 1

combine like terms: 3x^2+4y-2x^2-x^2

Answers

Answer: 4y

Step-by-step explanation:

[tex]3x^{2} + 4y - 2x^{2} -1x^{2}[/tex]  To  

3x^2 - 2x^2 -1x^2 = 0  

0 +4y = 4y  

ANSWER THIS FAST PLZ

Answers

Answer:

the last one

Step-by-step explanation:

yes, because its graph is a line that passes through the origin.

For A, it's true but in a proportional relationship, the coefficient of x can be negative

B and C are obviously wrong

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