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3 years ago

There is a bag with only red marbles and blue marbles.

Mathematics

2 answers:

DIA [1.3K]3 years ago

8 0

Answer:

30.

Step-by-step explanation:

The answer is 5/12 of 72

= 5 * 6

= 30 red marbles.

lutik1710 [3]3 years ago

3 0

5/12 of 72 marbles

5*6

= 30 red marbles

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A coffee mixture has beans that sell for $0.20 a pound and beans that sell for $0.68. If 120 pounds of beans create a mixture wo

atroni [7]

Let x be the number of pounds of the $1.35 beans. The cost of those beans is $1.35 * x, or 1.35x.
Let y be the number of pounds of the $1.05 beans. The cost of those beans is $1.05 * y, or 1.05y. 
We know that 120 pounds of the mix sells for $1.15/pound, for a total of 120 * 1.15 = $138. 

x + y = 120 
1.35(x) + (1.05)y = 138 

We can rewrite the first as 
x = -y + 120 

Now we can substitute (-y + 120) in for (x) in the second equation, because we just proved they're equal. 

1.35(x) + 1.05(y) = 138 
1.35(-y + 120) + 1.05y = 138 
-1.35y + 162 + 1.05y = 138 
-0.3y + 162 = 138 
-0.3y = -24 
y = 80 

And since x + y = 120, that means x = 40. 

Check: 
40 pounds of x at $1.35 costs 40 * 1.35, or $54. 
80 pounds of y at $1.05 costs 80 * 1.05, or $84. 
Do those add up to our target total, according to the question, of 120 * 1.15 = $138?

3 0

3 years ago

You and your friend each collect rocks and fessis your friend collects three times as many roots and half as many fossils as you

n200080 [17]

Answer:

Number of rocks and fossils collected by you is 1 and 24 respectively

Number of rocks and fossils collected by your friend is 3 and 12 respectively

Step-by-step explanation:

Let the number of Rocks you collect be x

Let the number of Fossils you collect be y

Then the total number pf objects you collected will be

x + y = 25

x = 25 - y------------------------------(1)

Your friend collects three times as many rocks and half as many fossils as you.

This can be written as

3x + y (1/2) = 15

3x + (y/2) = 15-------------------(2)

Substituting (1) in (2)

3(25 - y) + (y/2) = 15

75 - 3y + (y/2) = 15

Grouping the like terms we get,

75 - 15 = 3y = (y/2)

60 = ( 6y - y /2)

60 x 2 = 6y -y

120 = 5y

y = 120/5

y = 24

Substituting y value in equation(1) we get

x = 25 - 24

x= 1

y= 24

Friends collects 3 times rock

so collects 3x =3(1) = 3rocks

Also he collects half as many fossils

That is

y/2 = 24/2 = 12 fossils

Hope this help you! :)

5 0

2 years ago

A jar contains 2 green marbles, 4 blue marbles, and 3 yellow marbles. A marble is chosen at random from the jar and replaced. Fi

omeli [17]

Answer:

2/27

Explanation:

• Number of green marbles = 2

• Number of blue marbles = 4

• Number of yellow marbles = 3

Total = 2+4+3 =9

• Probability of choosing a green marble = 2/9

• Probability of choosing a yellow marble = 3/9

Therefore, the possibility that the first marble is green and the second is yellow is:

$\begin{gathered} =\frac{2}{9}\times\frac{3}{9} \\ =\frac{2}{27} \end{gathered}$

8 0

1 year ago

PLZ HELP ASAP!!!!!!!!!!!

lorasvet [3.4K]

For number 3 add all the numbers and divide how numbers you have

5 0

3 years ago

Read 2 more answers

Plzz help me im am stuck

Pachacha [2.7K]

I hope this helps you!

7 0

3 years ago