tara has two bags of marbles. the first bag contains 6 red marbles, 5 blue marbles and 4 green marbles. the second bag contains 3 red marbles, 2 blue marbles, and 4 green marbles. tara will randomly select 1 marble from each bag. what is the probability that tara will select a blue marble from each bag.
​

Here we have a problem of rates of work, we want to know how long will take the 3 ants to build an ant hill if they work together.

We will find that working together, they need to work for 8 hours.

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

Let's start by defining the variables that we will use:

Now let's see the given information:

"Aran and Beatrice can build an ant hill in 10 hours"

This can be written as:

(A + B)*10 h = 1 ant hill

"Aran and Charlie can build the ant hill in 12 hours"

This can be written as:

(A + C)*12 h = 1 ant hill

"Beatrice and Charlie can build the ant hill in 15 hours"

This can be written as:

(B + C)*15 h = 1 ant hill.

Then we have 3 equations:

[tex](A + B)*10 h = 1[/tex]

[tex](A + C)*12 h = 1[/tex]

[tex](B + C)*15 h = 1[/tex]

Where for commodity, I removed the "ant hill" unit.

Now we need to solve this system of equations, to do it, we need to isolate one variable in one of the equations and then replace it on another equation.

I will isolate A in the first equation:

[tex]A = \frac{1}{10h} - B[/tex]

Now we can replace it in the second equation to get:

[tex](\frac{1}{10h} - B + C)*12h = 1[/tex]

Now we can isolate C in the last equation to get:

[tex]C = \frac{1}{15h} - B[/tex]

Replacing that in the above equation we get:

[tex](\frac{1}{10h} - B + \frac{1}{15h} - B)*12h = 1\\\\\frac{1}{6h} - \frac{1}{12h}= 2*B\\\\\frac{1}{2}*\frac{1}{12h} = \frac{1}{24h} = B[/tex]

This means that Beatrice alone would construct the hill in 24 hours.

Now that we know the value of B, we can use:

[tex]C = \frac{1}{15h} - B = \frac{1}{15h} - \frac{1}{24h} = \frac{1}{40h}[/tex]

This means that Charlie needs 40 hours to finish the hill alone.

Finally, we can use [tex]A = \frac{1}{10h} - B[/tex] to find the value of A:

[tex]A = \frac{1}{10h} - B = \frac{1}{10h} - \frac{1}{24h} = \frac{7}{120h}[/tex]

Now if the 3 ants work together, the total rate at which they work is:

[tex](A + B + C) = (\frac{7}{120h} + \frac{1}{40h} + \frac{1}{24h} ) = 0.125 h^{-1}[/tex]

This means that they need to work for the inverse of that rate

[tex]\frac{1}{0.125h^{-1}} = 8h[/tex]

Working together, they need to work for 8 hours to complete an ant hill

If you want to learn more, you can read:

https://brainly.com/question/12895249

Answer:

50%

Step-by-step explanation:

34/68=0.5=50%

Answer:

50%

Step-by-step explanation:

because yes

Answer:

A notebook at the dollar store costs between 1-2 dollars

Answer:

2223

Step-by-step explanation:

We need to find the value of 2021-2223+2425.

Firstly subtract 2223 from 2021.

2021-2223 = -202

Now add -202 and 2425. So,

2425 +(-202) = 2223

So, the value of 2021-2223+2425 is 2223. Hence, this is the required solution.

Answer:

d. 8 over 15 = 136 over 15 this is the right answer okay

Answer:

56 screws

Step-by-step explanation:

So, first we can find how many screws he needs.

So,  if he uses 2 steps for 8 screws, and has 14 steps, that means he puts screws in 7 steps ( 14÷2)

then, if he uses 8 screws, each with 8 steps, we can do 8 times 7, which is 56 screws

The screws does Jonathan need is  56 screws.

It is required to find how many screws does Jonathan need.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Jonathan uses 8 screws for every 2 steps. If there are 14 steps.

So, first we can find how many screws he needs.

According to given question we have

So,  if he uses 2 steps for 8 screws, and has 14 steps, that means he puts screws in 7 steps ( 14÷2)

then, if he uses 8 screws, each with 8 steps, we can do 8 times 7, which is 56 screws.

Therefore, the screws does Jonathan need is  56 screws.

Learn more details about arithmetic here:

https://brainly.com/question/11559160

#SPJ2

Answer:

4.09

Step-by-step explanation:

Answer:

1. 18

2. 370

3. 65

Step-by-step explanation:

1. 180/10=18

2. 370 add a zero

3. tens means ·10 so 650/10=65

Answer:

1.)18

2.)370

3.)65 tens yw(:

Answer:

17 students

Step-by-step explanation:

If he started with 37 and ended with 3 we have to subtract those three first so that we know how many we are actually working with so, 37-3=34. 34 balls is the amount distributed among the class. 34/2 is 17.

Answer:

16

Step-by-step explanation:

Answer:

I think 16...

Step-by-step explanation:

Answer:

$5,308.42

Step-by-step explanation:

(see attached for reference)

recall that the formula for Depreciation

is given by

A = P ( 1 - r)^t,

where

A = final amount

P = principal amount = given as $6,000

r = depreciation rate = given as 4% = 0.04

t = time in years = given as 3,

Simply substitute these into the equation to get:

A = P ( 1 - r)^t

= 6000( 1 - 0.04) ^ 3

= 6000 (0.96)^3

= $5,308.42

Answer:

-2

Step-by-step explanation:

you answer the brackets first then add 9 then add 8

Answer:

Write the system of equations with 2 unknowns x and y denoting the prices of two types of chickens:

(1) 120x + 200y = 2150

(2) 100x + 300y = 2625

Solving the system of equations above we have 2 solutions:

x = 15/2 = $ 7.5 and y = 25/4 = $ 6.25

Step-by-step explanation:

Answer:

Here are the steps to find the area of a composite figure.

1. Split the composite figure into simpler shapes.

2. Find the area of each of the simpler shapes.

3. Add the area of all the simpler shapes together.

4. You'll have the area of the composite figure.

Let me know if this helps!

Answer: Kris's bike

Step-by-step explanation:

KRIS 297/4.5 = 66 gallons per mile

JAKE 366/6 = 61 gallons per mile

BEN = 265.2/5.2 = 52 gallons per mile

The length of the drawing on the map for 36 miles is given by the equation A = 4 1/2 inches

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number of miles be = 12 miles

So , 12 miles on the drawing represents = 1 1/2 inches

Now , the number of miles = 36 miles

12 x 3 = 36 miles

And , 36 miles on the drawing represents = 3 x 12 miles on the drawing

Substituting the values in the equation , we get

36 miles on the drawing represents A = 3 x ( 1 1/2 )

On simplifying the equation , we get

36 miles on the drawing represents A = 4 1/2 inches

Hence , the value on the drawing is 4 1/2 inches

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ5

Answer:

1. 9 numbers (27, 36, 45, 54, 63, 72, 81, 90, 99)

2. 122 square cm

Step-by-step explanation:

break the shape into 2, find area of each, add those areas together

Answer:

I would use it for a house, car, and own rhe restaraunt

Answer:

House+Car+restaurant

Step-by-step explanation:

Imagine being such an addict that you spend it on a video game tho

ez points :)

BRAINLIEST PLSSSSS

Answer: x<225/4

Step-by-step explanation: hope this help

Answer:

A  76

Step-by-step explanation:

7x+8+7x-2+5x+16+110=360

19x+132=360

19x=228

x=12

∠E=5(12)+16

    =76

Answer:

76. hope it helps.................

Answer:

x=5, y=3

Explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Step-by-step explanation:

x=5 y=3 that is it that guy was right

Answer:

70 inches cubed

Step-by-step explanation:

5 times 7 times 2 gives you the volume.

Answer:

im not sure how to explain it, but you should look up your workbook on slader then type in the page of the homework you're doing and the answers are right there

Step-by-step explanation:

Answer:

3/10

Step-by-step explanation:

1/5=2/10

2/10+1/10=3/10

Answer:

ITS 3/10 AND CAN SOMEONE PLS ANSWER MY MOST RECENT QUESTION.

Answer: x = 4

Step-by-step explanation:

since it is showing us that the angles are congruent, we know that the smaller triangle is just a scaled-down version of the larger one. in other words, it is the EXACT SAME triangle, just slightly smaller.

so, i redrew them next to each other, so i could compare them easily.

i looked at the corresponding sides that were given, and realized that the side that is 10 on the larger triangle is equal to 5 on the smaller triangle. the side that is equal to 6 on the larger triangle is equal to 3 on the smaller triangle. this concludes that the smaller triangle is exactly half the size of the larger triangle!

so, i figured (using logic) that x must equal 4, simply dividing its corresponding side (with a measure of 8) in half.

hope this helps! xoxo

Answer:

8

Step-by-step explanation:

Answer:

Candy bars: $13

Step-by-step explanation:

$3 magazine + $13 total of candy bars = $19

Answer:

21.5%

Step-by-step explanation:

volume of cube: 36x36x36

volume of cylinder: πx18²x36

Cylinder percentage: (πx18²x36) / 36x36x36 = π / 4 = 0.785

percentage  of empty space: 1 - 0.785 = 0.215  (21.5%)

Answer:

3. y=-3/4+6

Step-by-step explanation:

The y-int is 6, so you can already cross out the first two answers. Then, you know the slope is negative because the line is going downward, so -3/4 has to be the slope bc it is negative.

Answer:

y=-3/4x+6

Step-by-step explanation:

the y/intercept is (0,6) because that is the point where the line crosses the y-axis

knowing that use the point (0,6) and (4,3) to find the slope use rise over run so it goes up 3 and right 4

using the slope intercept equation y=mx+b  it is y= -3/4+6

it is negative because its going downward

hope this makes sense and helps you guys!