omar has 5 liters of water he divides the water evenly between 4 buckets. how many milliters does omar pour in each bucket

Answers

Answer 1

Answer:

Final answer:

Omar pours 1,250 milliliters of water into each of the 4 buckets after converting 5 liters to milliliters and then dividing by the number of buckets.

Explanation:

Omar has 5 liters of water which he wishes to divide evenly between 4 buckets. To find out how many milliliters of water he pours into each bucket, we need to follow two steps: convert liters to milliliters and then divide that amount by the number of buckets.

First, we convert 5 liters of water to milliliters. Since there are 1,000 milliliters in 1 liter, we can multiply:

5 liters × 1,000 = 5,000 milliliters

Next, we divide the total milliliters by the number of buckets:

5,000 milliliters ÷ 4 buckets = 1,250 milliliters per bucket

Therefore, Omar pours 1,250 milliliters of water into each of the 4 buckets.

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Answer 2

Answer:

Answer:

1250 milliliters

Step-by-step explanation:

Omar has 5 liters of water. He divides evenly between 4 buckets.

5/4 = 1.25

He pours 1.25 liters in each bucket.

Convert 1.25 liters into milliters.

1.25 × 1000

1250 milliliters.

Omar pours 1250 milliliters in each bucket.

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the letters for the words lake Okeechobee are placed in a jar. What is the probability a vowel is chosen

Answers

There are 6 vowels out of 10 letters in this word so
Prob( a vowel is chosen) = 6/10 or 3/5 answer

A submarine descends 1/120 mile every minute. Write a product of three or more rational numbers to represent the change in the submarines elevation after 3 hours. Then find the value of the product and explain what it represents.

Answers

9514 1404 393

Answer:

(1/120 mile/min)(60 min/h)(3 h)

1.5 mile

the increase in depth after 3 hours

Step-by-step explanation:

The rate is given in terms of miles per minute. To find the elevation after 3 hours, we need a conversion from minutes to hours. One possible product is ...

(1/120 mile/min)(60 min/h)(3 h)

The value of this product is ...

(1·60·3)/(120·1·1) mile = 1.5 mile

The value represents the increase in depth after 3 hours.

Final answer:

The product of three rational numbers is 1.5, which represents the change in the submarine's elevation after 3 hours.

Explanation:

To represent the change in the submarine's elevation after 3 hours, we need to find the product of the descent rate per minute and the total number of minutes in 3 hours. The descent rate per minute is 1/120 mile, and there are 60 minutes in an hour. So, the product is:

(1/120) * (60 * 3)

Simplifying the expression:

(1/120) * 180 = 1.5

The value of the product, 1.5, represents the total change in the submarine's elevation after 3 hours. Since the submarine is descending, the elevation decreases by 1.5 miles.

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circle o is inscribed in triangle rst such that it is tangent at points m,n, and p. if rp is 7, rt is 17 and sm is 5, then what is the length of side st?

Answers

Answer:

The length of side st is 15.

Step-by-step explanation:

A tangent is a straigth line that touches a circle externally at a point on the circumference. Considering one of its properties that tangents from the same point to a fixed point outside a circle are equal.

Then,

/rn/ = /rp/

/tm/ = /tn/

/sm/ = /sp/

But, /rp/ = 7, /rt/ = 17 and /sm/ = 5.

Then,

/rt/ = /rn/ + /tn/

17 = 7 + /tn/ (∵ /rp/ = /rn/ = 7)

⇒ /tn/ = 10

Since /nt/ = 10, then /tm/ = 10 (/tm/ = /nt/)

So that,

/st/ = /sm/ + /tm/

= 5 +10

/st/ = 15

The length of side st is 15.

A 46- inch piece of steel is cut into three pieces so that the second piece is twice as long ad the first piece , and the third piece is one inch more than six times the length of the first piece. Find the lengths of the pieces.

Answers

Hope this helps you.

Final answer:

The first piece is 5 inches long, the second piece is 10 inches long, and the third piece is 31 inches long.

Explanation:

The problem involves a piece of steel that is 46 inches long and it is cut into three pieces. The wording of the problem gives us equations we can use to solve for lengths of the pieces. We're told:

The second piece is twice as long as the first piece.
The third piece is one inch more than six times the length of the first piece.

We can let x represent the length of the first piece. Then the length of the second piece is 2x, and the length of the third piece is 6x+1.

Because the three pieces together form the original 46-inch piece, we can set up this equation: x + 2x + 6x + 1 = 46, which simplify to 9x +1 = 46. Solving for x gives x = 5. Therefore, the lengths of the pieces are 5 inches, 10 inches (2 * 5), and 31 inches (6 * 5 + 1).

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The function f(x,y,z)equals2 x plus z squared has an absolute maximum value and absolute minimum value subject to the constraint x squared plus 2 y squared plus 3 z squaredequals16. Use Lagrange multipliers to find these values.

Answers

Answer:

Absolute maxima an minma both occured at $(25)/(3)$ .

Step-by-step explanation:

Given function is,

$f(x,y,z)=2x+z^2\hfill (1)$

subject to,

$x^2+2y^2+3z^2=16\hfill (2)$

Let $g(x,y,z)=x^2+2y^2=3z^2-16$

To find absolute maxima and absolute minima using Lagranges multipliers method consider $\lambda$ as the multipliers such that,

$\nabla f=\lambda \nabla g$

$\leftrightarrow (2, 0 ,2z )=\lambda (2x, 4y, 6z)$

on compairing both side we get,

$2z=6\lambda z\implies \lambda=(1)/(3)$

$4\labda y=0\implies y=0$

$2=2\lambda x\implies x=(1)/(\lambda)=3$

From (2),

$x^2+2y^2+3z^2=16$

$\implies 9+0+3z^2=16$

$\implies z=\pm\sqrt{(7)/(3)}$

Absolute maxima, at x=3, y=0, $z= \sqrt{(7)/(3)}$ is,

$|f(x,y,z)|_(max)=(2x+z^2)_(3,0,\sqrt{(7)/(3)})=(2*3)+(7)/(3)=(25)/(3)$

Absolute minima, at x=3, y=0, $z= -\sqrt{(7)/(3)}$ is,

$|f(x,y,z)|_(max)=(2x+z^2)_(3,0,-\sqrt{(7)/(3)})=(2*3)+(7)/(3)=(25)/(3)$

Hence the result.

Suppose the value of x varies from x = a to x = b . There are at least two ways of thinking about what percent x changed by. We'll explore two of them here. For each of the following questions, write an expression in terms of a and b to answer the question. Method 1 b is how many times as large as a ? times as large Therefore, b is what percent of a ? % Hence, if x varies from x = a to x = b , x changes by what percent?

Answers

The change in the value of x, as a percentage, is given by:

$(b - a)/(a) * 100\%$

The percentage change is given by the change multiplied by 100% and divided by the initial value.

In this question, x varies from $x = a$ to $x = b$ , which means that the initial value is a, and the change is b - a. Then, the percentage chance in the value of x is given by:

$(b - a)/(a) * 100\%$

A similar problem is given at brainly.com/question/24729807

Answer:

Step-by-step explanation:

i. b is how many times as large as a?

b/a

ii. Therefore, b is what percent of a?

b/a*100

iii. Hence, if x varies from x=a to x = b, x changes by what percent?

(100b)/a-100

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