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bogdanovich [222]
3 years ago
6

A toxic radioactive substance with a density of 2 milligrams per square centimeter is detected in the ventilating ducts of a nuc

lear processing building that was used 55 years ago. If the​ half- life of the substance is 20 ​years, what was the density of the substance when it was deposited 55 years​ ago?
Mathematics
1 answer:
Zolol [24]3 years ago
3 0

Answer:

60.5 milligrams per square centimeter First, determine how many half lives have expired by dividing the time by the half-life. So: 55/20 = 2.75 That means that only 2^(-2.75) = 0.148650889 = 14.8650889% of the original substance remains. So just divide the amount remaining by 0.148650889 to get the original amount. 9 / 0.148650889 = 60.5445419 So originally, there was 60.5 milligrams per square centimeter 55 years ago.

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Which of the following is a proportion?
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the first one

Step-by-step explanation:

because 4/6=2/3

2/3=6/9

so 4/6=6/9

6 0
2 years ago
At the gym, Jasper was able to bench press 224 pounds, which was 7/8 of the weight that Balin was able to bench press. Which sho
Rzqust [24]

Answer:

The answer SHOULD be 7/8=224/x;256 pounds.

You may have made a mistake in inputting it here on Brainly. So look for the one that matches that.

Step-by-step explanation:

This is what we know:

Jasper = 224 pounds

Balin = x

Jasper = 7/8 of x

Now we make an equation for that:

(\dfrac{7}{8})(x) = 224pounds

To match the selections we will isolate 7/8 on one side of the equation:

\dfrac{7}{8}=\dfrac{224}{x}

Using ratio and proportion we can solve for what x is. Multiply 224 by 8 and divide it by 7. Or you can do it this way too:

\dfrac{7}{8}=\dfrac{224}{x}

(7)(x)=(224pounds)(8)

7x=1792pounds

x=\dfrac{1792pounds}{7}=256pounds

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7 0
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3 0
2 years ago
Find the base of a parallelogram with a slant height of 7cm and an perimeter of 63 cm2
vlada-n [284]

Base of parallelogram b = 24.5 cm

Step-by-step explanation:

We are given:

Perimeter =P= 63 cm^2

Slant Height =a= 7 cm

Base of Parallelogram =b= ?

The formula used is:

Perimeter = 2(a+b)

where a is height and b is base

Putting values:

Perimeter = 2(a+b)\\63=2(7+b)\\63=14+2b\\2b=63-14\\2b=49\\b=\frac{49}{2}\\b=24.5

So, Base of parallelogram b = 24.5 cm

Keywords: Perimeter of Parallelogram

Learn more about Perimeter of Parallelogram at:

  • brainly.com/question/6594923
  • brainly.com/question/1822996
  • brainly.com/question/6594923

#learnwithBrainly

5 0
3 years ago
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