andre poured 27 ounces of rice into 6 containers . if all containers have the same amount of rice , how many ounces

Answer:

Step-by-step explanation:

3p. = 2m - 5q

-2m. = -3p - 5q

Divide through by -2

m. = (3p + 5q) \2

The equation can be rearranged and expressed in terms of p and q is m = (3p+5q)/2.

Given equation 3p = 2m - 5q

3p + 5q = 2m

(3p + 5q) / 2 =m

Hence, m = (3p+5q) / 2  

To express the equation in terms of p and q we need to put all the p and q terms to one side of the equation and m terms to another side of the equation. It can be easily seen that 3p is already on one side and we just need to bring a q term to this side which can be done by shifting 5q from the right-hand side to left-hand side. The equation is now 3p+5q. Now to get the equation in terms of m we need to divide the whole equation by 2 which will give m = (3p+5q) / 2.

To learn more about rearranging and transposing equations,

https://brainly.com/question/19029120

The standard deviation of the length of this plant be 25.

m = 60(mean)

Let the standard deviation be s,

As, the probability for 50<x<70 be 0.75

Z = (x−m)/s

for x=50,

Z=0

for x=70,

Z=(70−50)/s=20/s

Now, the probability for 50<x<70 be,

P(50<x<70) = 0.75

In the standard form 0<z<(20/s)

using Z-table, the area from 0 to 20/s,

= 0.75

s = 25

Hence, the standard deviation of the length of this plant be 25.

Learn more about Probability here https://brainly.com/question/13604758

#SPJ4

For 200mg of Cesium-137, it will be 229 years which is less than 230 years until only 1 milligram remains.

The amount of time a radioactive item takes to decay is known as the material's half-life.

The first-order kinetics for a half-life is given as 0.693 / k.

Given half-life = 30 years,

k = rate-constant =?

30 = 0.693 / k

k = 0.0231 years ⁻¹

The integrated rate law for first-order kinetics is given as follows:

A = A₀[tex]e^{-kt}[/tex]

k = rate constant of the reaction

A₀ = Concentration of reactant initially = 200 mg

A = t = 1 mg

Putting all values in the equation will give,

t = 229 years.

Thus, Cesium takes 229 years to decay to reach from 200milligram to 1 milligram in weight.

To learn more about radioactive materials,

https://brainly.com/question/3542572

#SPJ4

Answer:

Step-by-step explanation:[tex]x2{12}5\\ =18[/tex]

The probability that the sample mean would be higher than 88.4 or smaller than 84.4 is 0.85582

The probability is calculated using z score, this is used to determine the amount of standard deviations a sample, X is from the mean

The z score is given by the formula

z = (X - μ) / σ

Definition of variables

mean, μ = 86

sample size, n = 140

standard deviation, σ  = 11

The probability

P(z > 88.4) + P(z < 84.4)

z score for z < 88.4

z = (88.4 - 86) / 11

= 0.21818 p value = 0.41364

z score for z < 84.4

z = (84.4 - 86) / 11

=  -0.14545

p value for z < -0.14545 = 0.44218

The probability required = 0.41364 + 0.44218 = 0.85582

Learn more about p - values at:

https://brainly.com/question/28940355

#SPJ1

Answer:

Probability = A. 2 / 5

Step-by-step explanation:

Probability = ( Number of Favorable Outcomes ) / (Total Number of Outcomes )

So the Total Number of Students = 20

Number of Students ( Dots ) scored more than 15 = 3+2+1+2 = 8

Probability = 8 / 20 = 2 / 5

Glad to Help

Answer: 12/20= 3/5

Step-by-step explanation:

you have to count all the dots on the dot plot to find your denominator which is 20.

then you count all the dots that are fifteen or more and there are 12 so 12/20 is the probability which is simplified into 3/5.

The modified r squared tells us more about the relationship among sales, price, as well as advertising by explaining approximately 60% of a variance in sales.

R-squared (R2) would be a statistical measure that quantifies the proportion of the variation explained from an independent variable other variables within a regression model for a dependent variable.

Thus, the modified r squared tells us more about the relationship among sales, price, as well as advertising by explaining approximately 60% of a variance in sales.

To know more about the adjusted r squared, here

https://brainly.com/question/14364216

#SPJ4

[tex]\huge\mathcal{♨Answer♥}[/tex]

Answer is on the attachment...

☆...hope this helps...☆

_♡_mashi_♡_

The equation p=5xy+q can be expressed in terms of p,q, and x as y = (p-q)/5x.

The equation p=7x+4q can be expressed in terms of p and q as x = (p-4q)/7x.

Given in the first equation, p = 5xy+q

p-q=5xy

y=(p-q)/5x

Here we need to express y in terms of p,q, and x so we need all these three variables on one side of the equation and y on the other side. Initially we more q to the left-hand side of the equation which makes it p-q=5xy. Now we divide the left-hand side and the right-hand side by 5x making the equation y = (p-q)/5x.

Similarly in the second equation, p = 7x+4q

p-4q = 7x

x = (p-4q)/7

Here we need to express x in terms of p and q so we need all these two variables on one side of the equation and the term x on the other side. First, we will move 4q to the left-hand side of the equation which will make it p-4q=7x. Now, we will divide the whole equation by 7 which will make the equation x = (p-4q) / 7.

To learn more about simultaneous, transposing and rearrangement of the equations,

https://brainly.com/question/15165519

The solution for u in the expression given as 7/u = 3/11 is u = 25.7

From the question, the algebraic expression is given as

7/u = 3/11

There is no constant to add to or subtract from the expression

So, the equation remains the same

7/u = 3/11

Multiply both sides of the equation by u

This gives

u * 7/u = 3/11  * u

Evaluate the products

So, we have the following equation

7 = 3/11u

Multiply both sides of the equation by 11/3

This gives

11/3 * 7 = 3/11u * 11/3

Evaluate the products in the above expression

77/3 = u

So, we have

25.6667 = u

Approximate

25.7 = u

Rewrite as

u = 25.7

Hence, the solution is u = 25.7

Read more about equations at

https://brainly.com/question/2476251

#SPJ1

Caina anticipate in income next year  $14000.

What is an income?

The amount of money, property, and other value transfers received over a predetermined period of time in return for goods or services is often referred to as income.

We have,

A scholarship of $6000 and a grant of $3200 together are $9200

6000 + 3200 = 9200.

She will make another $400 per month working a part-time job, so for 12 months she will make $400 × 12 = $4800.

All together will be $9200 + $4800 = $14000.

Therefore, She anticipate in income next year  $14000.

To learn more about the income visit,

https://brainly.com/question/13793671

#SPJ9

A linear function that describes the cost of a trip, c, in terms of the number of miles, n will be "c=0.60n+0.67n" and cost per mile is $0.6 and $0.67 and the flat fee is $50.

Once you are aware of your mileage and total expenses, calculating cost per mile becomes a straightforward equation. Your cost per mile is calculated by dividing your total expenses by the total number of miles you have driven. Your expenses per mile are influenced by your variable and fixed costs, so you should probably pay closer attention to how much you're shelling out for each mile your drivers cover. You can better understand your primary costs and produce more accurate bids for new contracts by knowing your expenses at this specific level.

Here,

cost per mile,

20/30=$0.67/mile

30/50=$0.60/mile

c=0.60n+0.67n

flat fee,

=$30+$20

=$50

The cost per mile is $0.6 and $0.67, and the flat rate is $50. A linear function that expresses the cost of a trip, c, in terms of the number of miles, n, will be "c=0.60n+0.67n".

To know more about cost per mile,

https://brainly.com/question/28463820?referrer=searchResults

#SPJ4

What happens when the slope of a line is undefined is that, the line is a vertical line that crosses the x-axis.

The points could be (1, 5) and (1, 10)

It is known that linear equations have slopes

These slopes are the average rate of change of the function

The values of these slopes can be

When the slope is undefined, it means that the line is a vertical line

An example of the vertices on such line is (x, y) and (x, y + n)

See that the x coordinate remains constant, while the y coordinate changed

Take for instance, a line that passes through (1, 5) and (1, 10) would have an undefined slope

Read more about slopes at

https://brainly.com/question/11322966

#SPJ1

Using a system of equations, it is found that:

Leah takes 3 minutes to run a lap and 6 minutes to walk a lap.

The variables of the system of equations are presented as follows:

She requires 84 minutes to do 8 laps running and 10 laps walking, hence the first equation is:

8x + 10y = 84.

She requires 66 minutes to do 2 laps running and 10 laps walking, hence the second equation is:

2x + 10y = 66.

Simplifying by 2, we have that:

x + 5y = 33.

x = 33 - 5y.

Replacing in the first equation, we can find the time it takes to walk a lap, as follows:

8(33 - 5y) + 10y = 84.

264 - 40y + 10y = 84

30y = 180

y = 180/30

y = 6 minutes.

Then the time it takes to run a lap is obtained as follows:

x = 33 - 5y = 33 - 5(6) = 33 - 30 = 3 minutes.

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

Answer:

15y

Step-by-step explanation:

3 times 5 is 15 with the variable

Answer:

9/8 m = 21/8

or

9m/8 = 21/8

Step-by-step explanation:

3m = 7

3/8 × 3m = 3/8 × 7

9/8 m = 21/8

Jade and Jordan both have a total of 35 trading cards altogether.

Given, Jade has 28 trading cards. He has 4 times as many trading cards as Jordan.

As, Jade has 28 trading cards

Let Jordan has 'x' trading cards.

Now, as Jade has 4 times as many trading cards as Jordan.

So, 28 = 4x

4x = 28

x = 7

So, Jordan has 7 trading cards.

Now, they both have a total of 35 trading cards altogether.

Hence, Jade and Jordan both have a total of 35 trading cards altogether.

Learn more about Unitary Method here https://brainly.com/question/28627316

#SPJ4

The probability of landing on an even number or a number greater than two is 5/6.

A fair die is rolled. We need to find out the probability of landing on an even number or a number greater than two.

Let the event of landing on an even number be denoted by the variable E1. Let the event of landing on a number greater than two be denoted by the variable E2. We need to calculate P(E1 ∪ E2).

P(E1 ∪ E2) = P(E1) + P(E2) - P(E1 ∩ E2)

P(E1 ∪ E2) = (3/6) + (4/6) - (2/6)

P(E1 ∪ E2) = 5/6

Hence, the probability of landing on an even number or a number greater than two is 5/6.

To learn more about probability, visit :

https://brainly.com/question/11234923

#SPJ4

The most likely problem with the sample they gathered to determine whether they believed marijuana should be lawfully available for medical uses has to do with the survey's likelihood of being "biased".

Thus, the most likely problem with the sample lycos web site gathered to determine whether they believed marijuana should be lawfully available for medical uses has to do with the survey's likelihood of being "biased".

To know more about the biased survey, here

https://brainly.com/question/24491228

#SPJ4

The answer is 6 groups of 0.7 tenths is 4.2. in the decimal form.

What is Decimals?

Decimals are a form of a number in algebra that have a full integer and a fractional portion separated by a decimal point. The decimal point is the dot that separates the whole number from the fractional element of the number. A decimal is a number with a whole and a fractional component. Decimal numbers, which are in between integers, are used to express the numerical value of full and partially whole amounts.

Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.

6 groups of ____ tenths is 4.2

4.2 ÷ 6 = 0.7

Hence,  6 groups of 0.7 tenths is 4.2

Learn more about Decimals, by the following link.

https://brainly.com/question/1827193

#SPJ1

The number of pairs of the parallel lines after the rotation is 2

The transformation is described by

Rotation by 90° counterclockwise about vertex G

There are four types of transformation, and they are:

As a general rule of rotation:

When a shape, line or an angle is rotated, the size of the properties in the rotated figure remains unchanged

Before rotation, a rhombus has two pairs of parallel sides

This means that the parallel sides would remain parallel after rotation

Read more about rotation at:

brainly.com/question/17809268

#SPJ1

The number of grams of salt in the tank at time t is given by the differential equation [tex]A(t)=200-170e^{-\frac{1}{50}t}[/tex].

The rate is basically a measurement of something's number, amount, or degree in relation to another item. Its the ratio of some quantity to some other quantity.

An equation with a function and one or more of its derivatives is referred to as a differential equation:

At the start, the tank contains A(0) = 30 g of salt.

Salt flows in at a rate of

(1 g/L) * (4 L/min) = 4 g/min

and flows out at a rate of

(A(t)/200 g/L) * (6 L/min) = 3A(t)/100 g/min

so that the amount of salt in the tank at time t changes according to

A'(t) = 4 - A(t)/50

So,

[tex]A'(t) = 4 - \frac{A(t)}{50}[/tex]

The solution of linear differential equation y' + ay = g(x) is in the form,

[tex]e^{ax}y=\int {e^{ax}g(x)} \, dx +c[/tex]

Now, putting the values,

[tex]a=\frac{1}{50} \\g(x)=4[/tex]

[tex]e^{\frac{1}{50}t}A(t)=\int {e^{\frac{1}{50}t}4} \, dt +c\\=4\int {e^{\frac{1}{50}t}} \, dt +c\\=4\times50e^{\frac{1}{50}t}+c\\=200e^{\frac{1}{50}t}+c\\[/tex]

Now,

[tex]A(t)=200+Ce^{-\frac{1}{50}t}\\[/tex]

Putting the initial value,

[tex]30=200+Ce^{-\frac{1}{50}(0)}\\\\200+C=30\\C=-170[/tex]

So, the function will be [tex]A(t)=200-170e^{-\frac{1}{50}t}[/tex].

Therefore, the number of grams of salt in tank at time t is given by differential equation [tex]A(t)=200-170e^{-\frac{1}{50}t}[/tex].

To learn more about the Linear Differential Equation visit here:

https://brainly.com/question/19130837

#SPJ4

The difference between the distance between the two cities if of 14.842 latitudes.

The earth has one latitude running right in the center called the equator. On either side of the equator, there are 90 more latitudes each.

Therefore, the earth has 181 latitudes.

Now if we see the image we can see that all these latitudes fall on the vertical diameter of the Earth.

Hence the distance covered by all 181 latitudes = 2 X radius of the Earth

= 2 X 6378 km

= 12756

Assuming that all the latitudes are equidistant, we get the distance between 2 latitudes to be

12756/181

= 70.475 km

Let the two cities be A and B. It is given that the distance between the two cities is 1046 km and one is due north of the other.

Therefore the difference in latitudes between the two cities is

1046/70.475

= 14.842 latitudes

To learn more about distances visit

https://brainly.com/question/23274198

#SPJ4

Answer: 2[tex]\sqrt{2}[/tex]

Step-by-step explanation: First plug in the value, which is [tex]\sqrt{8}[/tex]

Then divided to 2[tex]\sqrt{2}[/tex]

Answer:

30 feet^3

Step-by-step explanation:

length x width x height

3 x 2 x 5

=30

The distance between two points on a 2D coordinate plane can be found using the following distance formula. d = √ (x 2 - x 1) 2 + (y 2 - y 1) 2. where (x 1, y 1) and (x 2, y 2) are the coordinates of the two points involved. The order of the points does not matter for the formula as long as the points chosen are consistent.

Thank me at https://brainly.com/app/profile/49759317

#SPJ1

Answer:

it is 5 units!

The simplified equation is 14x+8 which has infinitely many solutions as given in the question.

1.Remove parenthesis and combine like terms to simplify either side of the equation.

2.Isolate the variable term on one side of the equation using addition or subtraction.

3.To find the variable, use multiplication or division.

Given equation is:

12x-x+8+ 3x

= 11x+3x+8

=14x+8

Therefore, the simplified equation is 14x+8 which has infinitely many solutions.

Learn more about equations here:

https://brainly.com/question/18831322

#SPJ1

Probability that customer buy parsley given buy any of two herb  

                =   0.5714

What is probability in math?

Parsley ( 0.4 , 0.6 )

buy  = B ∩ P = 0.08

Don't buy = DB ∩ P = 0.12

Cilantro = ( 0.15 , 0.85 )

buy  = B ∩ C = 0.06

Don't buy = DB ∩ C = 0.34

Don't buy anything = DB = 0.4

P( Buy anything ) = P(B∩P) + P( B ∩ C )

                          = 0.08 + 0.06 = 0.14

Now, P( P/B) = P( P ∩ B)/P(B)

                    = 0.08/0.14  = 4/7  = 0.5714

Hence, probability that customer buy parsley given buy any of two herb

                                          =   0.5714

Learn more about probability

brainly.com/question/11234923

#SPJ4