1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
valentinak56 [21]
3 years ago
10

a bag contains 56 marbles. each marble is either red, green, or yellow. a marble is randomly removed from the bag and then retur

ned to the bag. the probability that this marble is red is 5/8. the probability that this marble is green is 1/7. how many yellow marbles are in the bag?
Mathematics
2 answers:
olga nikolaevna [1]3 years ago
8 0
1/7 + 5/8 + x = 56
43/56 + x = 56
13 = x
zhenek [66]3 years ago
6 0

The first time I solved this problem, I did it in a way that I had to
mess with changing fractions to common denominators and all that. 
Suddenly, however, the clean and easy way to do it dawned on me. 
Here it is:

-- There are 56 marble in the bag.

-- The probability of pulling a red marble is 5/8, so
5/8 of the 56 marbles must be red.
5/8 of 56 = 35 red marbles.

-- The probability of pulling a green marble is 1/7,
so 1/7 of the 56 marbles must be green.
1/7 of 56 = 8 green marbles.

-- The red and green marbles make up (35 + 8) = 43
of the 56 marbles in the bag.

-- The rest of them are yellow.
   There are  (56 - 43) = 13 yellow marbles in the bag.

-- The probability of pulling a yellow marble is  13/56 .    (about 23.2%)

No messy fractions at all !
That's the way I like it !

You might be interested in
LOTS of points due today!!!!! 8-10
Karolina [17]

Answer:

they are 10 ppl in the crew

$12800×15/100=$1920

$10×100/80=$12.50

8 0
2 years ago
Which could be the first step in simplifying this expression? Check all that apply.
-BARSIC- [3]

Answer:

the answer is c your welcome

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
You are designing a ramp where the horizontal distance is twice the vertical rise. what will be the ramp angle to the nearest te
ankoles [38]
Use the definition of tangent

or inv tangent (arctan or atan)

tan(theta) = opposite side/ adjacent side

the vertical rise would be the opposite side, the horozontal distance would be the adjacent side

let rise = y
let distance= x
x=2y

so tan(theta) = y/2y
tan(theta) = 1/2

theta = atan(1/2)

grab a handy dandy calculator, unless you know this conversion off the top of your head
7 0
3 years ago
A boy spends 4/15 on cloth, 1/5 on food and 5/12 on drink. what fraction is left for other things
mamaluj [8]

Answer:

4/15+1/5+5/12=53/60 so

7/60

Hope This Helps!!!

5 0
2 years ago
Read 2 more answers
Which lines are perpendicular to the line y – 1 = (x+2)? Check all that apply.
Ilya [14]

Answer:

none of them

Step-by-step explanation:

Two lines are perpendicular when satisfy the next equation: m1*m2 = -1, where m1 and m2 are the slopes o the lines.

line 1:  

y – 1 = (x+2)

y = x + 3

slope of line 1 = 1

line 2:  

y + 2 = –3(x – 4)

y + 2 = -3*x + 12

y =  -3*x + 10

slope of line 2 = -3

m1*m2 = 1*(-3 ) = -3

They are not perpendicular

line 3:  

y − 5 = 3(x + 11)

y − 5 = 3*x + 33

y = 3*x + 38

slope of line 3 = 3

m1*m3 = 1*3 = 3

They are not perpendicular

line 4:  

y = -3x –  

slope of line 4 = -3

m1*m4 = 1*(-3 ) = -3

They are not perpendicular

line 5:  

y = x – 2

slope of line 5 = 1

m1*m5 = 1*1 = 1

They are not perpendicular

line 6:  

3x + y = 7

y = -3x + 7

slope of line 6 = -3

m1*m6 = 1*(-3 ) = -3

They are not perpendicular

5 0
3 years ago
Read 2 more answers
Other questions:
  • Mary picks 15 flowers from her garden. If 3 out of 5 flowers are yellow how many yellow flowers does Mary pick
    13·1 answer
  • Can anyone help me on #4
    14·1 answer
  • Izara built a fence for her horses. The fence was 210 feet long. She put a fence post in the ground at the start of the fence an
    12·1 answer
  • (GIVING BRAINLIYEST)<br> 7. what is the volume of these 2 objects
    15·2 answers
  • Simplify the expression: 5-−3ℎ −(6-+7ℎ)<br> a) 11-−4ℎ <br> b) 11-−10ℎ <br> c) −-−4ℎ <br> d) −-−10ℎ
    12·1 answer
  • The vertices of a triangle are J(−3,2), K(1,1), and L(−1,−7). Find the slopes of the lines connecting the vertices. Then determi
    6·1 answer
  • The steak dinner close the restaurant nine dollars they market up at 260% what is the price on the menu
    13·1 answer
  • I Need Help!!<br><br><br> Identify each congruence transformation that maps ABC to DEF
    12·1 answer
  • 0.000009 in scientific notation.
    5·2 answers
  • The table below gives the cost of toys at a toy store. Does this represent a proportional relationship?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!