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kow [346]
3 years ago
10

An element with a mass of 320 grams decays by 5.1% per minute. To the nearest tenth of a minute, how long will it be until there

are 200 grams of the element remaining?
Mathematics
1 answer:
HACTEHA [7]3 years ago
7 0

Answer:

X=9

Step-by-step explanation:

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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
A rectangle has a length this is three times its width. If the area of the rectangle is 27 square feet, what are the dimensions
yuradex [85]

Answer:

The width of the rectangle is 3 and the width is 9. Those are reasonable measurements.

Step-by-step explanation:

6 0
3 years ago
Stephen's lunch bill is currently at $8.23.Stephen orders a fruit salad for take-out ,and wants to leave$2.25 as a tip for his s
emmainna [20.7K]

Stephen will receive $4.52 in change

8 0
3 years ago
Pleas solve 3x - 1+ 5 = 3
Arada [10]
X= -1
3 That is the answer if you need help with algebra I suggest math papa calculator
6 0
3 years ago
Read 2 more answers
determine the vertex and axis of symmetry for the following: f(x) = 2x to the power of 2 - 12x + 24 ?
Vikki [24]

Answer:

vertex = (3,24)  Axis of symmetry = 3

Step-by-step explanation:

Use the vertex formula to find x: x=-b/2(a)

x= 12/2(2) = 3 (this is your axis of symmetry)

Substitute 3 for x in the equation to get y: y = 42

Once you have both x and y you have your vertex.

7 0
3 years ago
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