All categories

4 years ago

Question 6 of 9 (3•8) • 1 = 3 • (8.1) O A. True B. False

Mathematics

1 answer:

olga nikolaevna [1]4 years ago

5 0

Answer:

No, (false). The question I assume was: $(3*8)*1=3*(8.1)$

Step-by-step explanation:

1. Multiple: 3 * 8 = 24

2. Multiple: The result of step No. 1: * 1 = 24 * 1 = 24

3. Conversion a decimal number to a fraction: 8.1 = $\frac{81}{10}$ = $\frac{81}{10}$

a) Write down the decimal 8.1 divided by 1: 8.1 = $\frac{81}{1}$

b) Multiply both top and bottom by 10 for every number after the

decimal point. (For example, if there are two numbers after the decimal

point, then use 100, if there are three then use 1000, etc.)

$\frac{8.1}{1}$ = $\frac{81}{10}$

Note: $\frac{81}{10}$ is called a decimal fraction.

c) Simplify and reduce the fraction

$\frac{81}{10} = \frac{81*1}{10*1} = \frac{81}{10}$

4. Multiple: 3 * 8.1 = $\frac{3*81}{1*10}$ = $\frac{243}{10}$

Multiply both numerators and denominators. Result fraction keep to lowest

possible denominator GCD(243, 10) = 1. In the next intermediate step the

fraction result cannot be further simplified by canceling.

In words - three multiplied by eighty-one tenths = two hundred forty-three

tenths.

5. Compare: The result of step No. 2 vs The result of step No. 4: = 24 vs $\frac{243}{10}$ = $\frac{24}{1}$ vs $\frac{243}{10}$ = $\frac{24*10}{1*10}$ vs $\frac{243}{10}$ = $\frac{240}{10}$ vs $\frac{243}{10}$ = 240 vs 243 = No

You might be interested in

Suppose you roll two fair, six-sided dice and record the sum of the numbers that appears on top. What is the probability that yo

vovangra [49]

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 1/3 chance

Explanation: If you have a 1/6 chance of rolling a four, and then you role two die, you now have two 1/6 chances, meaning you have 1/6 + 1/6, AKA, 1/3 chance

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

3 0

3 years ago

Bernard designs motorized bicycles at Smart Gear Technologies. His total earnings are

hichkok12 [17]

Answer:

600

Step-by-step explanation:

4 0

3 years ago

A barrel contains 1513 liters of water. 34 of the water was used to water plants.

Korolek [52]

Considering that 34% of the total quantity of water was used to water the plants we can get to the solution of the problem.
Total quantity of water in the barrel = 1513 liters
Percent of water used for watering the plants = 34%
Then
Quantity of water used to water the plants = (34/100) * 1513
   = 514.42 liters
So 514.42 liters of water was used from the barrel to water the plants.
Quantity of water left in the barrel = 1513 - 514.42 liters
      = 998.58 liters
So the quantity of water that is left in the barrel after watering the plants is 998.58 liters.
If you have said in the question that 3/4 of the total quantity of water was used for watering the plants, then the solutions would be as given below
Quantity of water used for watering the plants = (3/4) * 1513 liters
      = 1134.75 liters
Amount of water left in the barrel after watering the plants = 1513 - 1134.75 liters
   = 378.25 liters.

8 0

4 years ago

A man invests an amount, A, into a bank

alexandr402 [8]

Answer:

The initial amount, A is approximately $19,991.1.

Step-by-step explanation:

The initial amount the man invests in the bank = A

The amount the man deposits after 15 years = $10,000

The amount in the account after 50 years = $251,894.21

The amount of money after every 15 years = 2 × Initial amount

Therefore, we have;

The amount in the account 15 years after when the man deposits another $10,000 = 2 × A

Therefore the initial amount at the 15th year = 2·A + 10000

The

We have;

2·A = A·(1 + r)¹⁵

(1 + r)¹⁵ = 2

1 + r = 2^(1/15)

r = 1 - 2^(1/15) = 0.04729412282

Therefore, we have;

On the 50th year, 50 - 15 = 35 year

$251,894.21 = (2·A + 10000)·(1 + 0.04729412282)³⁵

A = ($251,894.51/((1 + 0.04729412282)³⁵) - 10000)/2 ≈ $19991.1

The initial amount, A ≈ $19991.1.

3 0

3 years ago

Graph the system of inequalities. Show at least two points for each inequality. (Lesson 1.08)

rjkz [21]

The inequalities and the points are

y + 2 ≤ 5x: (5, -2) and (10, 1)
y + x > -4: (5, -2) and (10, 1)
y ≤ 1/3x: (5, -2) and (10, 1))

<h3>How to graph the system of inequalities?</h3>

The system of inequalities is given as:

y + 2 ≤ 5x

y + x > -4

y ≤ 1/3x

Next, we plot each inequality in the system of inequalities using a graphing calculator

See attachment for the graph of the system of inequalities y + 2 ≤ 5x, y + x > -4 and y ≤ 1/3x

From the attached graph, we have the following points:

y + 2 ≤ 5x: (5, -2) and (10, 1)

y + x > -4: (5, -2) and (10, 1)

y ≤ 1/3x: (5, -2) and (10, 1)

Question 6 of 9 (3•8) • 1 = 3 • (8.1) O A. True B. False​

Question 6 of 9 (3•8) • 1 = 3 • (8.1) O A. True B. False