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2 years ago

Explain how to find 27% of 16 using multiplication by

Mathematics

2 answers:

just olya [345]2 years ago

6 0

Answer:

4.32

Step-by-step explanation:

You can multiply 16 by 0.27 to get the answer.

16*0.27=4.32

You can check your work with estimation because 27% is about 1/4 of the number, and just by looking at the number, 4 is 1/4 of the number.

gizmo_the_mogwai [7]2 years ago

4 0

Answer:

4.32

Step-by-step explanation:

Convert 27% to the equivalent decimal 0.27. Multiply 16 by 0.27 to get 4.32. Use estimation to check the answer by choosing the friendly percent 25%. 25% of 16 is equal to 16 ÷ 4 = 4. The answer is reasonable.

Convert 27% to the equivalent decimal 0.27.

Multiply 16 by 0.27 to get 4.32.

Use estimation to check the answer by choosing the friendly percent 25%.

25% of 16 is equal to 16 ÷ 4 = 4. So the answer is reasonable.

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A particular isotope has a half-life of 74 days. If you start with 1 kilogram of this isotope, how much will remain after 150

shtirl [24]

$\bf \stackrel{150~days}{\textit{Amount for Exponential Decay using Half-Life}} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &1\\ t=\textit{elapsed time}\dotfill &150\\ h=\textit{half-life}\dotfill &74 \end{cases} \\\\\\ A=1\left( \frac{1}{2} \right)^{\frac{150}{74}}\implies A=1\left( \frac{1}{2} \right)^{\frac{75}{37}}\implies \boxed{A\approx 0.24536}$

$\bf \stackrel{300~days}{\textit{Amount for Exponential Decay using Half-Life}} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &1\\ t=\textit{elapsed time}\dotfill &300\\ h=\textit{half-life}\dotfill &74 \end{cases} \\\\\\ A=1\left( \frac{1}{2} \right)^{\frac{300}{74}}\implies A=1\left( \frac{1}{2} \right)^{\frac{150}{37}}\implies \boxed{A\approx 0.060202}$

6 0

2 years ago

The graph shows two lines, A and B.

Papessa [141]

Part A: One solution because the lines intersect one time.
Part B: (3,4) or x=3 and y=4 (depending on how you have to write it)

8 0

2 years ago

Can someone solve this question

pogonyaev

(g/f)(x)= g(x)/f(x) =

= (x² - 6) /(3x +1)

3x+1≠0

3x≠-1

x≠ - 1/3

(g/f)(x)= (x² - 6) /(3x +1), when x≠ - 1/3

Answer: A.

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2 years ago

Which of the functions below could have created this graph?

Burka [1]

Answer:

Step-by-step explanation:

C is the answer hope you mark me brainlyist

8 0

2 years ago

Read 2 more answers

3. Find the value of x that makes a||b. 9x - 44 6x + 10 b A. 18 B. 14.4 15 C. 911 15 D. 6

bazaltina [42]

Answer is A. 18

EXPLANATION-

Its Simplifying
(9x + -44) = (6x + 10)

Reorder the terms:
(-44 + 9x) = (6x + 10)

Remove parenthesis around (-44 + 9x)
-44 + 9x = (6x + 10)

Reorder the terms:
-44 + 9x = (10 + 6x)

Remove parenthesis around (10 + 6x)
-44 + 9x = 10 + 6x

Solving
-44 + 9x = 10 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.
-44 + 9x + -6x = 10 + 6x + -6x

Combine like terms: 9x + -6x = 3x
-44 + 3x = 10 + 6x + -6x

Combine like terms: 6x + -6x = 0
-44 + 3x = 10 + 0
-44 + 3x = 10

Add '44' to each side of the equation.
-44 + 44 + 3x = 10 + 44

Combine like terms: -44 + 44 = 0
0 + 3x = 10 + 44
3x = 10 + 44

Combine like terms: 10 + 44 = 54
3x = 54

Divide each side by '3'.
x = 18

Simplifying
x = 18

7 0

1 year ago