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3 years ago

-1/2 + ( 3/4 x 4/9)

Mathematics

1 answer:

SIZIF [17.4K]3 years ago

5 0

Answer:

-1/6

Step-by-step explanation:

-1/2 + ( 3/4 x 4/9)

PEMDAS says parentheses first

Rearranging the fractions

-1/2 + ( 3/9 x 4/4)

-1/2 + (1/3*1)

-1/2 + 1/3

Getting a common denominator of 6

-1/2 *3/3 + 1/3 *2/2

-3/6+2/6

-1/6

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(100) points!!!! Help please

inysia [295]

Answer:

$\displaystyle a_8=142,11\ mg$

Step-by-step explanation:

Geometric sequence

Each term in a geometric sequence can be computed as the previous term by a constant number called the common ratio. The formula to get the term n is

$\displaystyle a_n=a_1r^{n-1}$

where $a_1$ is the first term of the sequence

The problem describes Georgie took 275 mg of the medicine for her cold in the first hour and that in each subsequent hour, the amount of medicine in her body is 91% (0.91) of the amount from the previous hour. It can be written as

amount in hour n = amount in hour n-1 * 0.91

This information provides the necessary data to write the general term as

$\displaystyle a_n=275\ .\ 0.91^{n-1}$

In the 8th hour (n=8), the remaining medicine present is Georgie's body is

$\displaystyle a_n=275\ .\ 0.91^{8-1}$

$\displaystyle a_n=275\ .\ 0.91^{7}$

$\boxed{\displaystyle a_8=142,11\ mg}$

6 0

3 years ago

Three of the choices are ways to express 0.50. Which is NOT?

Ganezh [65]

Option B

5 hundredths is not the way to express 0.50

<h3><u>Solution:</u></h3>

Given that Three of the choices are ways to express 0.50

To find: wrong option

Let us first write 0.50 in different ways

<h3><em><u>To convert a Decimal to a Fraction follow these steps: </u></em></h3>

Step 1: Write down the decimal divided by 1, like this: decimal 1.

Step 2: Multiply both top and bottom by 10 for every number after the decimal point. ...

Step 3: Simplify (or reduce) the fraction.

$\rightarrow 0.50 = \frac{0.50 \times 100}{100} = \frac{50}{100}$

$\frac{50}{100}$ means 50 hundredths

<h3>Therefore option D is correct</h3>

On simplifying $\frac{50}{100}$ we can write,

$\rightarrow \frac{50}{100} = \frac{5}{10} = \frac{1}{2}$

$\frac{1}{2}$ means one half

<h3>Therefore option A (one half) is correct</h3>

Similarly, \frac{5}{10} means 5 tenths

<h3>Therefore Option C is also correct</h3>

Thus the wrong option is B

<em><u>Justification:</u></em>

5 hundredths can be written as:

$\frac{5}{100} = 0.05$

Therefore option B is wrong

5 0

2 years ago

Which of the points listed is the same distance from the x-axis as the point (8, 3.25)?

Akimi4 [234]

The distance of the point <span>(8, 3.25) </span>to the x-axis (the horizontal line) is 3.25.
incorrect - A.) is 4.75 away from the x-axis
This one is correct - B.) is 3.25 away from the x-axis
incorrect - C.) is 7 away from the x-axis
incorrect - D.) Actually one of the above answers it correct

Hope this helps

7 0

2 years ago

If a rectangle has a perimeter of 58 ft and a length of 4 feet what is the width of the rectangle?

faltersainse [42]

Answer:

25ft

Hoped this helped!

5 0

2 years ago

A cylindrical-shaped container requires 12 cubic feet of soil to be considered full. If a cone with a congruent base and height

stich3 [128]

The statement that describes the volumes of the two figures relate is: <em>The </em><em>volume of the cone</em><em> is 1/3 of the </em><em>volume of the cylinder</em>

Given the following:

Volume of cylindrical-shaped container = 12 cubic feet

Volume of cone-shaped container = 4 cubic feet

Ratio of the volume of the cone to the volume of the cylinder = 4 : 12 = 1 : 3

Therefore the statement that describes the volumes of the two figures relate is: <em>The </em><em>volume of the cone</em><em> is 1/3 of the </em><em>volume of the cylinder</em>

<em />

Learn more about the volume of cone on:

brainly.com/question/13677400

4 0

1 year ago