deandre finished a race in 6 minutes. how many seconds is this?

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:it will be D

Step-by-step explanation: because $100 + 4%=$100.4

Answer:

volume of tank is 157.5m

Step-by-step explanation:

that's too high

Answer: Let's call the speed of the boat "b" and the speed of the current "c". We can set up two equations based on the information given:

Downstream: distance = rate × time

78 = (b + c) × 3

Upstream: distance = rate × time

80 = (b - c) × 4

Now we have two equations with two unknowns, which we can solve simultaneously. We can start by simplifying each equation:

78 = 3b + 3c

80 = 4b - 4c

We can solve the second equation for "b" by adding 4c to both sides and then dividing by 4:

80 + 4c = 4b

20 + c = b

Now we can substitute this expression for "b" into the first equation and simplify:

78 = 3(20 + c) + 3c

78 = 60 + 6c

18 = 6c

c = 3

So the speed of the current is 3 km/h. We can use the expression we found for "b" earlier to find the speed of the boat:

b = 20 + c = 20 + 3 = 23 km/h

Therefore, the speed of the boat is 23 km/h.

Step-by-step explanation:

The measure of the complement of a 1-degree angle is 89 degrees.

The complement of an angle is defined as the angle that, when added to the given angle, results in a sum of 90 degrees. To find the measure of the complement of a 1-degree angle, we need to determine the angle that, when added to 1 degree, equals 90 degrees.

Let's denote the measure of the complement as x degrees. According to the definition, we can set up the equation:

1 degree + x degrees = 90 degrees.

To solve for x, we need to isolate it on one side of the equation. By subtracting 1 degree from both sides, we have:

x degrees = 90 degrees - 1 degree.

Simplifying the right side, we get:

x degrees = 89 degrees.

In summary, when an angle measures 1 degree, its complement measures 89 degrees. Complementary angles are pairs of angles that add up to 90 degrees. In this case, since the given angle measures only 1 degree, its complement is significantly larger, nearly forming a right angle. The concept of complementary angles is fundamental in geometry and can be applied to various problems involving angles and their relationships.

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Answer: neither

Step-by-step explanation:

To get rid of the fractions, we pick a useful number and multiply both sides of the equation by that number. The number is useful if multiplying eliminates all fractions.

Step-by-step explanation:

The three rectangles that have perimeter of 36 inches are

A. C. and D

Just check by using the formula of perimeter of rectangle ; 2 (L + b)

Hope it will help :)

Answer:

1.854, that is greater than 1.853

Answer:

answer is in photo.

Green one is main answer and blue one is formula

Answer:

  2

Step-by-step explanation:

You want the slope of segment DC given points A, B, C, D are collinear and the rise between B and A is 2 units, while the run is 1 unit.

The slope of a line is the same everywhere on the line. It is the same for segment DC as for segment BA on the same line.

  slope = rise/run = 2/1 = 2

The slope of DC is 2.

<95141404393>

        Thanks for reposting the pertinent question:

        Therefore the SLOPE of DC:

         DC  =   2

        POINTS:  D, C, B, and A  are COLLINEAR

       SLOPE of:  DC  is  Equal (=)  To the SLOPE  of: AB

       AB  =   2/1   =  2

       Therefore the SLOPE of DC:

       DC  =   2

I hope this helps you!

Answer:

The expression (6 × 10^7) × 0.007 simplified is 4.2 x 10^5.

Step-by-step explanation:

I believe the it would be 2x^2 + 6x + 20 = 0.

A mathematically indication example would be to solve the equation 3x + 2 = 14 for the value of x. The solution would be 4.

Looking for a mathematically indication example, we can consider a simple mathematical equation with one variable and solve it.

The equation would be 3 x + 2 = 14.

So we can solve for the equation to be :

3x + 2 - 2 = 14 - 2

3x = 12

3 x / 3 = 12 / 3

x = 4

In conclusion, the mathematically indication example would be 3x + 2 = 14 and the value of x would be 4.

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Answer:

(48, 3), (80, 5), (160, 10)

Complete question :

shopkeeper sells one machine for 990 re at a profit of 10% and another machine for 1960 at a loss of 2%. What is his gain or loss percent

Answer:

1.72%

Step-by-step explanation:

Given that :

MACHINE 1:

Sales price = 990

Profit percent = 10%

The cost price of the machine (x) :

10% profit of x :

(100 + 10)% of x = 990

110% of x = 990

1.1x = 990

x = 990/1.1

x = 900

MACHINE 2:

Sales price = 1960

Loss on sale = 2%

Cost price (x) :

(100 - 2)% of x = 1960

98% x = 1960

0.98x = 1960

x = 1960/0.98

x = 2000

Total amount realized from sale = (990 + 1960) = 2950

Total cost of production = (2000 + 900) = 2900

Profit Made = (2950 - 2900) = 50

% profit:

(Profit / cost of production) * 100

(50 / 2900) * 100%

0.0172413 * 100%

profit % = 1.72

The profit made is 50

Cost price of first machine will be:

= 100/(100 + 10) × 990

= 100/110 × 990

= 100 × 9

= 900

Cost price for second machine will be:

= (100 - 2) × x = 1960

= 98% × x = 1960

= 0.98x = 1960

x = 1960/0.98.

x = 2000

The total cost price = 900 + 2000 = 2900

Total selling price = 990 + 1960 = 2950

Therefore, profit will be:

= Selling price - Cost price .

= 2950 - 2900

= 50

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Answer:

$82.38

Step-by-step explanation:

What you have to do is divide. $659 divided by 8 equals 82.375 so then you round so then it will be money. This would equal $82.38. There you go. Hope that answered your question. Mark me brainliest please!

Answer:

The notation Σ-2 (3η + 5) is incorrect for representing the arithmetic series 8 + 11+ ... + 29.

The correct notation for the arithmetic series 8 + 11 + ... + 29 should be:

Σ_{i=1}^{11} (6i + 2)

The series has 11 terms, and each term can be found by adding 3 to the previous term, starting with the first term 8. Therefore, the general form of the series is 6i + 2, where i represents the index of the term in the series.

In contrast, the notation Σ-2 (3η + 5) appears to have multiple errors. The use of a negative index (-2) is not valid, as the index should start from 1 or 0. Also, the use of the Greek letter eta (η) instead of i as the index variable is unconventional and likely to cause confusion. Finally, the expression inside the parentheses does not appear to correspond to the terms of the arithmetic series.

The correct notation for the arithmetic series 8 + 11 + ... + 29 should be:

Σ_{i=1}^{11} (6i + 2)

To explain the error in the given notation Σ-2 (3η + 5), we can break it down as follows:

The use of a negative index (-2) is incorrect. The index of summation should always be a non-negative integer.

The use of the Greek letter eta (η) instead of i as the index variable is unconventional and may cause confusion or errors.

The expression inside the parentheses, 3η + 5, does not represent the terms of the arithmetic series. In particular, it does not involve the index variable i or the common difference 3.

Therefore, the correct notation for the given arithmetic series is Σ_{i=1}^{11} (6i + 2).

The equation of the linear function represented by the table is y=-x+9. Therefore, option A is the correct answer.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

The given table is

  x        y

 -5       14

 -2       11

  1        8

  4       5

From the given table, the coordinate points are (-5, 14) and (-2, 11)

Here, slope(m) =(11-14)/(-2+5)

= -1

Substitute m=-1 and (x, y)=(-5, 14) in y=mx+c, we get

14=-1(-5)+c

c=9

So, the equation is y=-x+9

Therefore, option A is the correct answer.

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Hello,

2 points of the line: (2,0) and (0,3)

\(\Delta\ y=3-0=3\\\Delta\ x=0-2=-2\\\dfrac{\Delta\ y}{\Delta\ x} =\dfrac{-3}{2} \\\\y-0=\dfrac{-3}{2}*(x-2)\\\\\boxed{y=-\dfrac{3x}{2}+3}\\\)

Step-by-step explanation:

first, determine the coordinates values like x =9 and y=-5

so x-6 =3

Answer:

When a system of forces is acting on an object, the difference between the forces is called the Resultant force. For example, a 3N force to the left and 10N force to the right gives a resultant force of 7N to the right.

Step-by-step explanation:

Using integrals and probabilities, it is found that:

a) The value of a is of a = 8.

b) The reliability of the refrigerator for the first year is of 93.75%.

c) There is a 0.0004 = 0.04% probability that a refrigerator will fail during the first month.

The distribution is given as follows:

f(t) = t/a, 0≤t≤4.

The cumulative distribution function(cdf) is of 1, hence:

\(\int_{0}^{4} f(t) dt = 1\)

\(\int_{0}^{4} \frac{t}{a} dt = 1\)

\(\left(\frac{t^2}{2a}\right)_{t = 0}^{t = 4} = 1\)

Applying the Fundamental Theorem of Calculus:

8/a = 1

a = 8.

Hence:

The value of a is of a = 8.

The probability that the refrigerator lasts more than one year is:

\(P(t > 1) = \int_{1}^{4} \frac{t}{8} dt\)

\(P(t > 1) = \left(\frac{t^2}{16}\right)_{t = 1}^{t = 4}\)

P(t > 1) = 1 - 1/16

P(t > 1) = 15/16

P(t > 1) = 0.9375 = 93.75%.

The reliability of the refrigerator for the first year is of 93.75%.

For item c, the probability that a refrigerator will fail during the first month is:

\(P\left(t < \frac{1}{12}\right) = \int_{0}^{\frac{1}{12}} \frac{t}{8} dt\)

\(P\left(t < \frac{1}{12}\right) = \left(\frac{t^2}{16}\right)_{t = 0}^{t = \frac{1}{12}}\)

Hence:

P(t < 1/12) = 1/(144 x 16) = 0.0004.

There is a 0.0004 = 0.04% probability that a refrigerator will fail during the first month.

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Answer:

This is a function since the x values aren't repeating more than once

Hope this helped! :D

Answer:

it is a function as the relation is one-to-one function

The relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:

3/20.

A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.

The total number of at bats in this problem is given as follows:

80.

In 12 of them, the pitcher threw exactly four pitches, hence the relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:

12/80 = 3/20.

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The numerical value of x in the similar pair of triangle is 10.

A ratio is simply the relation between two amounts showing how many times a value is contained within another value.

From the diagram,

Side A of the small triangle = 10

Side B of the small triangle = x + 2

Side A of the Big triangle = 10 + x

Side B of the big triangle = x + 14

Hence;

Ratio of Side A to Side B of the small triangle = 10 / x + 2

Ratio of Side A to Side B of the Big triangle = 10 + x / x + 14

Since the triangle area similar, equate the two ratio and solve for x.

10 / ( x + 2 ) = ( 10 + x ) / ( x + 14 )

Cross multiply

10( x + 14 ) = ( 10 + x )( x + 2 )

Expand using FOIL method

10x + 140 = 10x + 20 + x² + 2x

10x + 140 = x² + 12x + 20

x² + 12x + 20 = 10x + 140

x² + 12x + 20 - 10x - 140 = 0

x² + 2x - 120 = 0

Factor the left side of the equation

( x - 10 )( x + 12 ) = 0

Hence;

x - 10 = 0 and x + 12 = 0

x = 10 and x = -12

Since the dimension of the triangle cannot be negative,

x = 10

Therefore, the value of x is 10.

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The correct option about the two data set's distribution is B) The distributions are somewhat similar.

Given that,

For data set 1,

Mean = 54 and MAD = 4

For data set 2,

Mean = 60 and MAD = 2

Means to MAD ratio = (60 - 54) / (2 - 4) = 6 / -2 = -3

So means to MAD ratio is -3, not 3.

Now, it is clear that the distributions are not fully similar.

But it appears to be somewhat similar since Mean absolute deviation is somewhat similar, which is close.

Hence the correct option is B.

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Answer:

p = $150

Step-by-step explanation:

Let p represent the original price.  Then 10% of that is the discount:  0.10p.

The price after discount is 90% of the original price, or (1.00-0.10)p = 0.90p = $135.  We next solve this equation for p:  0.90p = $135, or p = $150.