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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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What is −13+2z=−56 Thanks
Zinaida [17]
<h3>Original Equation:</h3>

-\frac{1}{3}+2z=-\frac{5}{6}

<h3>Steps:</h3>

<em>*To solve for a variable, isolate the desired variable onto one side.</em>

Firstly, we want to add 1/3 to each side however -5/6 and 1/3 do not share the same denominator, and we want them to have that and we can do that by finding the LCD, or lowest common denominator. To find the LCD, list the multiples of 6 and 3 and the lowest multiple that they share is their LCD. In this case, their LCD is 6. Multiply -1/3 by 2/2:

-\frac{1}{3}\times \frac{2}{2}=-\frac{2}{6}\\\\-\frac{2}{6}+2z=-\frac{5}{6}

Now that we have common denominators, add both sides by 2/6:

2z=-\frac{3}{6}\\\\2z=-\frac{1}{2}

Next, you want to cancel out 2 to isolate z. Usually, one would divide both sides by 2, however remember that <u>dividing by a number is the same as multiplying by it's reciprocal.</u> To find a number's reciprocal, flip the numerator and denominator around. In this case, since 2 is a <em>whole number</em> this means that the denominator is 1. In this case: 2/1 would become 1/2. Multiply both sides by 1/2:

\frac{1}{2}\times 2z= -\frac{1}{2}\times \frac{1}{2}\\\\z=-\frac{1}{4}

<h3>Final Answer:</h3>

<u>Your final answer is z = -1/4.</u>

7 0
3 years ago
Pls help me I don't understand​
frutty [35]

Answer:

d. \:  \:  \: 25 {x}^{6}

Step-by-step explanation:

Given,

Side of the square

= 5 {x}^{3}

Therefore, area of the square = side × side

=  {5x}^{3}  \times 5 {x}^{3}

= 5 \times 5 \times  {x}^{3 + 3}

= 25 {x}^{6}

8 0
2 years ago
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Yummy cinnamon! It smells so nice! Mr. Liz needs 5 %2 teaspoons of cinnamon to make one
dusya [7]

Answer:

Step-by-step explanation:

2 loaves × (5½ teaspoons)/loaf = 11 teaspoons

He needs 11 teaspoons of cinnamon to make two loaves.

1/11 of 11 teaspoons = 1 teaspoon

He puts 1 teaspoon of cinnamon into his tea.

5 0
3 years ago
Charlie and Andy solve this problem in two different ways.
hammer [34]
Subtracted then divided
5 0
3 years ago
What is the answer to 2+4×7
PIT_PIT [208]
2+4×7=
=2+28=30
Answer: 30
5 0
3 years ago
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