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levacccp [35]
3 years ago
15

Jonathan bought 6 cans of paint and 2/3 of a pint of special paint additive formulated to reduce mildew. Before painting his hou

se, he divided the additive equally among the 6 cans of paint. How much additive did he put in each can?
Mathematics
1 answer:
gayaneshka [121]3 years ago
5 0

Answer:

1/9 pint

or 2/9 cup

Step-by-step explanation:

This question is asking us to <em>divide </em>2/3 pint among 6 cans.

2/3 ÷ 6

2/3 × 1/6

 = 2/18

 = 1/9 pint or 2/9 cup additive

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What is the solution set of the compund inequality x+1&lt;-2x+11&lt;3x+5?
saw5 [17]

Answer:

It is impossible for a number to be both less than 1 and greater than or equal to 3,  so the compound inequality has NO SOLUTION.  

Step-by-step explanation:

The word "and" tells us that we are looking for all values of x that satisfy BOTH inequalities simultaneously.  

 

3x + 5 < 8     and    2x + 5 ≥ 11

 

     3x < 3      and           2x ≥ 6

 

       x < 1       and            x ≥ 3

 

It is impossible for a number to be both less than 1 and greater than or equal to 3,  so the compound inequality has NO SOLUTION.  

4 0
4 years ago
What is the answer?<br> please and i will mark you as brainliest
Blizzard [7]

Answer:

75

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A money collection has $3.00 worth of coins: nickels, dimes, and quarters. The ratio of nickels to dimes to quarters is 3:2:1 Ho
Katyanochek1 [597]
They provide all the needed data...

n + d + q = $3.00                           (they provide a ratio) 
3:2:1 = $3.00                                 (let's enter the value of each)
3(.05) + 2(.10) + 1(.25)   
.15 + .20 + .25
.60 = is the value of the ratio   
let's divide the $3.00 by the .60 to get 5
let's now multiply the value of 5 to the ratio and solve the question...

3(5): 2(5): 1(5)
15 nickels
10 dimes
5 quarters


5 0
3 years ago
Read 2 more answers
What is the solution for the following equation 3(2x+3)=2(3x+4)?
ki77a [65]

Answer:

<h2><u><em>no solution, the equation is false</em></u></h2>

Step-by-step explanation:

what is the solution for the following equation 3(2x+3)=2(3x+4)?

3 * (2x + 3) = 2 * (3x + 4)

6x + 9 = 6x + 8

6x - 6x = -9  + 8

0 = ±1

the equation is false

7 0
2 years ago
Read 2 more answers
Suppose X, Y, and Z are random variables with the joint density function f(x, y, z) = Ce−(0.5x + 0.2y + 0.1z) if x ≥ 0, y ≥ 0, z
kompoz [17]

a.

f_{X,Y,Z}(x,y,z)=\begin{cases}Ce^{-(0.5x+0.2y+0.1z)}&\text{for }x\ge0,y\ge0,z\ge0\\0&\text{otherwise}\end{cases}

is a proper joint density function if, over its support, f is non-negative and the integral of f is 1. The first condition is easily met as long as C\ge0. To meet the second condition, we require

\displaystyle\int_0^\infty\int_0^\infty\int_0^\infty f_{X,Y,Z}(x,y,z)\,\mathrm dx\,\mathrm dy\,\mathrm dz=100C=1\implies \boxed{C=0.01}

b. Find the marginal joint density of X and Y by integrating the joint density with respect to z:

f_{X,Y}(x,y)=\displaystyle\int_0^\infty f_{X,Y,Z}(x,y,z)\,\mathrm dz=0.01e^{-(0.5x+0.2y)}\int_0^\infty e^{-0.1z}\,\mathrm dz

\implies f_{X,Y}(x,y)=\begin{cases}0.1e^{-(0.5x+0.2y)}&\text{for }x\ge0,y\ge0\\0&\text{otherwise}\end{cases}

Then

\displaystyle P(X\le1.375,Y\le1.5)=\int_0^{1.5}\int_0^{1.375}f_{X,Y}(x,y)\,\mathrm dx\,\mathrm dy

\approx\boxed{0.12886}

c. This probability can be found by simply integrating the joint density:

\displaystyle P(X\le1.375,Y\le1.5,Z\le1)=\int_0^1\int_0^{1.5}\int_0^{1.375}f_{X,Y,Z}(x,y,z)\,\mathrm dx\,\mathrm dy\,\mathrm dz

\approx\boxed{0.012262}

7 0
3 years ago
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