A man travels 6 1/4 [mixed fraction] km in 1 hour. How many kilometers does he travel in 6 1/2 [also a mixed fraction] hours? ​

Answer:

The answer is: 10^5=100'000

The third part of the process of investigating is describing the data.

It is required to find the third part of the process of investigating a question using data.

A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.

Given:

A. Making an inference

B. Describing the data

C. Rephrasing the question

D. Collecting the data

We have to determine which option is correct for

The third part of the process of investigating a question using

data.

What is the third part of the process of investigating?

The investigative process is a progression of activities or steps moving from evidence-describing tasks.

Therefore in this case third part of the process of investigating is describing the data.

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Answer:

  19 cups

Step-by-step explanation:

Let c represent the number of cups of tea. The total cost will be ...

  10c +3(45) ≤ 332

  10c ≤ 197 . . . . . . . . . . . subtract 135

  c ≤ 19.7

Bidula can buy up to 19 cups of tea with ₹332.

We can see that the dot plot is seen below.

We can see here that An example of a graphical representation of data is a dot plot. It is a number line with dots above each value to indicate the frequency or count of that value.

Depending on the type of data being shown, the dots are often arranged either horizontally or vertically.

Dot plots are known to be useful for showing the distribution of data, particularly for small data sets.

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Answer:

32

Step-by-step explanation:

14+6(9-6)

[9-6=3]

14+6x3

[6x3=18]

14+18

32

---

hope it helps

Answer:

14+6×(9-6)=32

Answer:

f(1) = -2

f(x) =1 when x=0 or x=-2

Step-by-step explanation:

f(1) is the y value when x=1

f(1) = -2

f(x) = 1 means find the x value when y=1

when y =1, x =0 and -2

Answer:

log(mn^2) = 50

Step-by-step explanation:

assuming base a for the logs

log(mn^2) = log m + 2log n

Answer: Sales tax = $8.87, total price = $132.95

Each headphone is sold at the rate of $31.02

4 head phones will be sold at

4 x $31.02

= $124.08

The total cost of 4 head phones = $124.08

The sales tax rate = 7.15%

The sales tax = sales tax rate x initial cost of the headphones

The sales tax = 7.15/100 x 124.08

The sales tax = 0.0715 x 124.08

Sales tax = $8.87

Total price = cost of the 4 head phones + sales tax

Total price = 124.08 + 8.87

Total price = $132.95

Answer:

4,832 yards

Step-by-step explanation:

302x16=

Given

The floor plan of a house is,

After installing new hardwood flooring , you also need to install base board around the bottom of the walls.

To find: How many feet of base board will you need to buy?

Explanation:

It is given that,

The floor plan of a house is,

After installing new hardwood flooring , you also need to install base board around the bottom of the walls.

That implies,

The perimetr of the base board is,

Hence, we need to buy 108ft of base board.

It is given that Kristy spent $27 on shorts and total amount is $38.

Percentage of money spent on shorts is given by:

So Kristy has spent 71.0526% of her money on shorts. It is 71% rounded to the nearest percent.

Answer:

54300 ml is greater than 54 L. This is because 54300 ml is equivalent to 54.3 L, which is larger than 54 L.

The number of wireless speakers that must be produced and sold in order for the company to break even is 186 and the profit function can be given as 62n -11200.

An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.

Given;

A company sells wireless speakers for $140 each,

cost of $78 per wireless speaker and the fixed cost is $11200,

Write the function of cost as shown below,

Cost price = 11200 + 78n

Here, n is the number of speakers

Calculate the profit as shown below,

profit = 140n - 11200 - 78n

profit = 62n -11200

Calculate the breakeven point as shown below.

62n -11200 = 0

n = 11200 / 62

n = 180.6

n = 181

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Answer:

r = 1

Step-by-step explanation:

(6, -3) ; (14, r)

Slope = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

\(\frac{r-[-3]}{14-6}=\frac{1}{2}\\\\\frac{r + 3 }{8} = \frac{1}{2}\\\)

Cross multiply,

(r + 3)*2 = 1*8

2r + 6  = 8             {Subtract 6 from both sides }

       2r = 8 - 6

       2r = 2          {divide both sides by 2}

        r = 2/2

r = 1

The segment joining the midpoints of the diagonals of a trapezoid is parallel to the bases

From the figure, we have the following coordinates

B = (a, 0)

D = (d, c)

The midpoint of line segment BD is calculated as

BD = 1/2 * (x1 + x2, y1 + y2)

So, we have

BD = 1/2 * (a + d, 0 + c)

This gives

BD = ((a + d)/2, c/2)

Also, we have:

Lines MN and AB are horizontal lines

This means that they have a slope of 0

i.e.

Slope of AB = Slope of MN = 0

Parallel lines have equal slope

Hence, the segment joining the midpoints of the diagonals of a trapezoid is parallel to the bases

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 32

45

x6

Step-by-step explanation: 32

5

x6

9

=

32

45

x6

The value of the monthly expenditure is Rs.12000 and the Savings is 9000.

According to the statement

We have given that the ratio of monthly income and expenditure of family is 7:4 and the other details and we have to find that the the monthly expenditure and the saving in the month.

So, For this purpose, we know that the

Expenditure is the act of spending money etc.

Now, Let x be the expenditure

And the given ratio

Income : Expenditure

7:4 = 21,000:x

So,

7/4=21000/x

7x=84000

x=12000

Therefore, the monthly expenditure is Rs.12000

And the

Savings = Income - Expenditure

Savings = 21000-12000

Savings = 9000

Now, we find the value of the savings

Therefore savings = Rs.9000

So, The value of the monthly expenditure is Rs.12000 and the Savings is 9000.

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Answer:

−1/2(7z+4)+1/5(5z−15) = - 5/2 ( z + 2 )

Step-by-step explanation:

5/13

I don't think you can simplify it

5 / (5 + 2 + 6)

9514 1404 393

Answer:

Step-by-step explanation:

X'∩Y includes those elements of Y that are not in X. That would be {f, g}.

__

(X∩Y)' is all the elements that are not in the intersection of X and Y. That intersection is {d, e}, so this is the complement of that set; {a, b, c, f, g, h}.

__

X'∩Y' is the same as (X∪Y)'. There is only one element not in X or Y: {h}.

Answer: (1, 3)

Step-by-step explanation:

There are two ways to solve this problem, 1 without the pythagorean theorem, and 1 with it.  For the sake of simplicity, I will solve it without the pythagorean theorem.

As is visually evident from the graph, the line segment spans 6 units horizontally, and 3 units vertically.  Because the ratio between AP and PB is 1:2, simply divide both the domain and range by 3, to get 2 horizontally, and 1 vertically.  

Then, simply go to point A and respectively add and subtract the horizontal and vertical values to get point A(-1, 4) --> P(1,3)

Hope it helps, and let me know if you want me to solve it an alternate way or go more in depth as to the way it is know.

Answer:

Step-by-step explanation:

Coordinates of A and B:

The partition ratio:

Coordinates of P are:

12. X= 6

14. B= -11

16. N= 15

Answer:

q12. \(x=6\)

q14. \(b=-11\)

q16. \(n=15\)

Step-by-step explanation:

Q12.

\(-1=\frac{x}{-6}\)

Flip the equation:

\(\frac{x}{-6} =-1\)

Multiply both sides by 6/(-1)

\((\frac{6}{-1} )\) × \((\frac{-1}{6}x )\) = \((\frac{6}{-1} )\) × \((-1)\)

\(x=6\)

Q14.

\(5b=-55\)

\(b=\frac{-55}{5}\)

\(b=-11\)

Q16.

\(-3n=-45\)

\(n=\frac{-45}{-3}\)

\(n=15\)

hope this helps.....

Answer:

t = 23

Step-by-step explanation:

line DG and FG are congruent

t - 1 = 4t -70

subtract t from both sides (-1 = 3t -70)

add 70 to both sides (69 = 3t)

divide each side by 3 (t = 23)

Answer:

t = 23

Step-by-step explanation:

Recall that the diagonals of a parallelogram intersect dividing each one in equal segments, therefore segment DG must equal the length of segment GF.

Then we can construct the following equation based on DG = GF

t - 1 = 4 t - 70  

then we can solve for t

subtract t from both sides

- 1 = 3 t - 70

add 70 to both sides

70 - 1 = 3 t

69 = 3 t

divide both sides by 3 to isolate t

69 / 3 = t

then

t = 23

Answer:

[0,∞)

Step-by-step explanation:

Answer:

[0,∞)

Step-by-step explanation:

Correct on Plato!

Answer:

\(6^{21}\)

Simplified is \(2.193695064*10^{16}\)

I don't know if A is supposed to \(6^{21}\)

Step-by-step explanation:

You have to use the  Power rule: \((x^a)^b=x^{ab}\)

So \((6^7)^3=6^{7(3)}\)

\(6^{21}\)

Simplified is \(2.193695064*10^{16}\)

Answer:

The 90 oz bottle of Tide is the better buy because it has a lower price per oz.

Step-by-step explanation:

To find the bottle of Tide that is a better buy, you have to divide each price for the number of ounces they have and determine the one that has the lower price per ounce.

$3.99/25= $0.15

$6.99/90= $0.07

According to this, the answer is that the 90 oz bottle of Tide is the better buy because it has a lower price per oz.

Answer: 22

Step-by-step explanation:

\(f(f^{-1}(x))=f^{-1}(f(x))=x\)

Answer:

x = 27 , ∠ EAF = 27°

Step-by-step explanation:

∠ GAF = 90° , then

∠ GAC + ∠ CAF = ∠ GAF , that is

x + 63 = 90 ( subtract 63 from both sides )

x = 27

∠ DAE = 90°

since CD is a straight angle of 180° , then

∠ CAE = 90° , so

∠ CAF + ∠ EAF = ∠ CAE , that is

63° + ∠ EAF = 90° ( subtract 63° from both sides )

∠ EAF = 27°

The tip of the minute hand on a clock travels a distance of 4π inches in 15 minutes.

The distance traveled by the tip of a minute hand on a clock can be calculated using the circumference formula.

The circumference of a circle is given by the formula:

C = 2πr C is the circumference, π is pi (approximately 3.14159) and r is the radius.

The distance from the center of the clock to the tip of the minute hand is the radius is 8 centimeters.

The circumference of the circle traced by the tip of the minute hand is:

\(\text{C} = 2\pi \text{r}\)

\(= 2\pi (8)\)

\(= 16\pi \ \text{centimeters}\)

Since the minute hand travels the full circumference of the circle in 60 minutes, in 15 minutes it will cover 15/60 = 1/4 of the circumference.

The distance traveled by the tip of the minute hand in 15 minutes is:

\(\text{Distance} = \huge \text(\dfrac{1}{4}\huge \text) \times C\)

\(= \huge \text(\dfrac{1}{4}\huge \text) \times (16\pi)\)

\(= 4\pi \ \text{centimeters}\)

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Answer:

4π cm ≈ 12.6 cm

Step-by-step explanation:

The clock can be modelled as a circle, where the radius (r) is equal to the length of the minute hand:  r = 8 cm.

A clock face is divided into 12 equal sectors (numbered 1 to 12).

It takes 60 minutes for the minute hand to complete one revolution of the clock. Therefore, each sector represents the passing of 5 minutes.

This means that 15 minutes equals 3 sectors, which is a quarter of the circle.

To find the distance the tip of the minute hand travels in 15 minutes, we need to find a quarter of the circumference of a circle with radius 8 cm.

The formula for the circumference of the circle is C = 2πr, where r is the radius. Therefore, the equation to find the distance the tip of the minute hand travelled in 15 minutes is:

\(\sf Distance=\dfrac{2 \cdot \pi \cdot 8}{4}\)

Simplifying, we get:

\(\sf Distance=\dfrac{16 \cdot \pi}{4}\)

\(\sf Distance=4 \pi\)

Therefore, the minute hand will travel 4π cm or approximately 12.6 cm (to the nearest tenth) in 15 minutes.