Edward jogs 34 of a mile around a park. Edward jogged around the trail 2 times in 1 hour.

It would take Delia 3 hours longer to re tile their bathroom by herself than it would for kari to retile on her own. If they wor

max2010maxim [7]

Answer:

6hours

Step-by-step explanation:

From the given information:

Suppose it took Karl x hours to retile her bathroom,

Then it will take Della 3 hours longer i.e (3+x) hours

If Della and Karl work together or will take them 2 hours

The objective is to determine how long it will take Delia to retile the bathroom alone?

∴

$\dfrac{1}{x}+\dfrac{1}{3+x}= \dfrac{1}{2}$

$\dfrac{x+3+x}{x(3+x)}= \dfrac{1}{2}$

$\dfrac{2x+3}{3x+x^2}= \dfrac{1}{2}$

By cross multiplying, we have:

2(2x+3) = 3x+x²

4x + 6 = 3x + x²

3x + x² - 4x - 6

x² - x - 6 = 0

Using quadratic equation

x² -3x +2x - 6 = 0

x(x - 3) + 2(x - 3) = 0

(x +2) (x - 3) = 0

x + 2 = 0 or x - 3 = 0

x = -2 or x = 3

Since we are concerned about the positive integer,

Then, Karl = x = 3 hours while Della which is (3+x) = 3+3 = 6hours

6 0

3 years ago

Le

juin [17]

Total age of pupils
= 12.7 x 10
= 127 years

127 - 11 - 10 - 12 - 11 - 14 - 13 - 14 - 16 = 26 ( total age of the other 2 pupils added together )

however, since the ninth pupil is two years younger,

26-2=24
24/2=12 ( age of ninth pupil )
12+2=14 ( age of tenth pupil )

thus, (a) 12 years old,
(b) 14 years old.

4 0

3 years ago

You would like to make a nutritious meal of eggs, edamame, and elbow macaroni. The meal should provide at least 40 g of carbohyd

Virty [35]

Answer:

Lets denote

1. eggs as x,

2. edamame as y

3. elbow macaroni as z

The problem then is

min TC=2x+5y+3z

subject to

$2x+12y+43z \geq40\\17x+12y+8z\geq20\\14x+6y+z\leq50\\x\geq0\\y\geq0\\z\geq0$

Step-by-step explanation:

First the objective is to minimize total cost subject to some nutritional requirements.

So the total cost function (TC) is the number of servings multiplied for the corresponding costs. Eggs cost 2, edamame 5, and macaroni 3

Next we have to meet the nutritional requirements, the first of the restrictions is the protein restriction. The problem requires that the meal contains at least 40g of carbohydrates (that is why the restriction is $\geq 40$ ). Then we add how much each meal component adds to the total, eggs add 2g of carbs, edamame 12g, and macaroni 43g.