MATHEMATICS HIGH SCHOOL

What is the nearest one for the number 6,846,372.205? Option 1: 6,846,372.2 Option 2: 6,846,372 Option 3: 6,846,373 Option 4: 6,846,372.3

Answers

Answer 1

Answer:

Answer:

option 2: 6,846,372

Step-by-step explanation:

The nearest one for 6,846,372.205 would be 6,846,372

Look at the tenths place (2). It's less than 5 so we round to 6,846,372.

Option 1 is incorrect; it rounds to the tenths place.

Option 3 is incorrect; it rounded UP to 3 in the ones place.

Option 4 is incorrect; it rounds up to the tenths place.

Related Questions

The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x^2 + 4x – 60. The cost, in dollars, of producing the toy cars can be modeled by 3x^2 – x + 200. The number of toy cars sold is represented by x.If the profit is the difference between the revenue and the cost, what expression represents the profit? 3x – 260 3x + 140 5x – 260 5x + 140
A catering service offers 12 appetizers, 9 main courses, and 7 desserts. A banquet chairperson is to select 8 appetizers, 8 main courses, and 6 desserts for a banquet. In how many ways can this be done?
Solve the polynomial equation x3 + 7x2 − 16x −112 = 0 and select the correct answer below.
16/4 x 11/5what is this answer ?
Please help with a, b, and c!!

It takes Marty 1 1/4 hours to get ready for school. If 1/5 of that time is used to shower and 1/3 of that time is used to eat breakfast,how long does it take to shower and eat breakfast

Answers

Answer:

2/3 hour

Step-by-step explanation:

We can add the fractions, then multiply by the time, or we can multiply each by the time and add the results.

(1/5 +1/3)(1 1/4) = (8/15)(5/4) = (4·2·5)/(3·5·4) = 2/3 . . . hours

alternatively, ...

(1/5)(1 1/4) +(1/3)(1 1/4) = (1/5)(5/4) +(1/3)(5/4)

= 1/4 +5/12 = 3/12 +5/12 = 8/12 = 2/3 . . . hours

It takes Marty 2/3 hours (40 minutes) to shower and eat breakfast.

Answer: the total amount of time

it takes to shower and eat breakfast is 2/3 hour.

Step-by-step explanation:

The total amount of time that it takes Marty to get ready for school is 1 1/4 hours. Converting to improper fraction, it becomes 5/4 hours.

If 1/5 of that time is used to shower, it means that the it takes to shower is 1/5 × 5/4 = 1/4 hour.

If 1/3 of that time is used to eat breakfast, it means that the time it took to eat breakfast is 1/4 × 5/4 = 5/12 hour.

Therefore, the total amount of time

it takes to shower and eat breakfast is

1/4 + 5/12 = 8/12 = 2/3 hour

Can somebody help me solve Y=9X+6

Answers

Y=9X+6 (You want to shift everything but the x to the other side right?)
So -6 and you have to do the same to each side which makes:

Y-6=9X

Then to leave the x by itself you need to reserve what you've done again so divide both sides by nine to make/

Y-6/9=X

Hope that made sense!!

Y=9x+6
-6=9x (-6)
-6/9=x

The data set represents the most recent sale price, in thousands of dollars, of ten homes on a street.85 91 93 99 99 99 102 108 110 115
What is the MAD?

Group of answer choices

6.92 (in thousands of dollars) or $6,920

7.84 (in thousands of dollars) or $7,840

4.35 (in thousands of dollars) or $4,350

8.96 (in thousands of dollars) or $8,960

Answers

Answer:

Step-by-step explanation:

To calculate the Mean Absolute Deviation (MAD) for a set of data, follow these steps:

1. Find the mean (average) of the data set by adding up all the values and dividing by the total number of values. In this case, the sum of the values is:

85 + 91 + 93 + 99 + 99 + 99 + 102 + 108 + 110 + 115 = 1001

Dividing 1001 by 10 (the number of values) gives us the mean:

1001 / 10 = 100.1

2. Subtract the mean from each value in the data set and take the absolute value of the result. This gives us the deviation of each value from the mean. For example, the deviation of the first value (85) from the mean (100.1) is:

|85 - 100.1| = 15.1

Repeat this step for all the values in the data set.

3. Calculate the average of these deviations to find the Mean Absolute Deviation. Add up all the deviations and divide by the total number of values. In this case, the sum of the deviations is:

15.1 + 8.9 + 6.9 + 0.9 + 0.9 + 0.9 + 1.9 + 7.9 + 9.9 + 14.9 = 77.1

Dividing 77.1 by 10 (the number of values) gives us the Mean Absolute Deviation:

77.1 / 10 = 7.71

Therefore, the correct answer is not listed among the given options. The MAD for the given data set is approximately 7.71 (in thousands of dollars) or $7,710.

At Elisa's printing company llc there are two kinds of printing presses: model a which can print 70 books per day and model b which witch can print 55 books per day. Company owns 14 total Printing Presse sand this allows 905 books per day. How many of each type of press do they have..

Answers

a (70 books/day) A=number of model A
b (55 books/day) B =number of B , A=number of a then
A+B =14 ........ A=14-B
aA+bB =905
70(14-B) +55B =905
980-70B+55B=905
-15B=-75
B=-75/-15 =5
A=14-B=14-5=9

Elisa's Printing Company has 9 Model A printing pressesand 5 Model B printing presses.

Given that Elisha's printing company have two kinds of printing presses,

Model A = 70 books per day

Model B = 55 books per day

In total they have printing presses, which allows 905 books per day.

We need to find number of each of press,

Let's assume Elisa's Printing Company has x Model A printing presses and y Model B printing presses.

According to the given information, the total number of Model A printing presses (x) can print 70x books per day, and the total number of Model B printing presses (y) can print 55y books per day. Since the company owns 14 total printing presses, we can create the following equation:

x + y = 14 (Equation 1)

The total number of books printed per day is given as 905. So, we can set up another equation based on the printing capacities of each model:

70x + 55y = 905 (Equation 2)

Now, we can solve these equations simultaneously to find the values of x and y.

Multiplying Equation 1 by 70, we get:

70x + 70y = 980 (Equation 3)

Subtracting Equation 2 from Equation 3:

(70x + 70y) - (70x + 55y) = 980 - 905

Simplifying:

15y = 75

Dividing both sides by 15:

y = 5

Substituting the value of y in Equation 1:

x + 5 = 14

x = 14 - 5

x = 9

Therefore, Elisa's Printing Company has 9 Model A printing pressesand 5 Model B printing presses.

Learn more about equation click;

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Which of the following is a function equivalent to f(x) = 4(1.8)2x?f(x) = 4(3.24)x

f(x) = 4(3.24x)

f(x) = 12.96x

f(x) = 51.84x

Answers

If you would like to know which is a function equivalent to f(x) = 4 * (1.8)^(2x), you can calculate this using the following steps:

f(x) = 4 * (1.8)^(2x)
f(x) = 4 * 3.24^x
f(x) = 4 * (3.24)^x

The correct result would be f(x) = 4(3.24)x.

Answer:

Step-by-step explanation:

1.8 times 1.8 equals= 3.24

Find the surface area of the following figures 16 ft 13 ft 12ft 19ftPlease help me solve number 3! And if i got #2 incorrect, please help me fix that one too.

Answers

Answer:

1192 ft²

Step-by-step explanation:

Figure 3 is a trapezoidal prism.

The total surface area of a trapezoidal prism is made up of 2 congruent trapezoid bases and 4 rectangular faces connecting the bases.

The formula for the area of a trapezoid is:

$\boxed{S.A.=(1)/(2)(a+b)h}$

where a and b are the bases, and h is the height.

From observation of the given diagram, the bases are 16 ft and 19 ft, and the height is 12 ft. Therefore, the area of each trapezoid base is:

$\begin{aligned}\textsf{Area of trapezoid base}&=(1)/(2)(16+19)\cdot 12\n\n&=(1)/(2)(35)\cdot 12\n\n&=17.5\cdot 12\n\n&=210\; \sf ft^2\end{aligned}$

To calculate the areas of all the rectangular faces, we first need to calculate the slant (s) of the trapezoid base by using the Pythagoras Theorem:

$\begin{aligned}s^2&=(19-16)^2+12^2\ns^2&=3^2+12^2\ns^2&=9+144\ns^2&=153\ns&=√(153)\end{aligned}$

The area of a rectangle is the product of its width and length.

Therefore, the sum of the areas of the rectangular faces is:

$\begin{aligned}\textsf{Area of rectangular faces}&=16\cdot13+12\cdot13+19\cdot13+√(153)\cdot13\n&=208+156+247+13√(153)\n&=771.801119...\n&=772\; \sf ft^2\;(nearest\;foot)\end{aligned}$

To find the total surface area of the given trapezoidal prism, sum the area of the two trapezoid bases and the area of the rectangular faces:

$\begin{aligned}\textsf{Total S.A.}&=2 \cdot 210+772\n&=420+772\n&=1192\; \sf ft^2\end{aligned}$

Therefore, the total surface area of the given trapezoidal prism is 1192 ft², rounded to the nearest foot.

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