Priya and Joe travel the same 16.8 km route. Priya starts at 9.00 am and walks at a constant speed of 6 km/h Joe starts at 9.30 am and runs at a constant speed. Joe overtakes Priya at 10.20 am At what time does Joe finish the route?

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.

to know more about unitary method

https://brainly.com/question/28276953

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:

y = -7x + 16 and y = -2x - 9

Step-by-step explanation:

Of the five equations the only ones that exist at the point, (5, -19) are y = - 7x + 16 and y = -2x - 9 (Test them out yourself!).

Hope this helps :)

Answer:

#3 and #5

Step-by-step explanation:

those are the answers

In   linear equation, you can get 4 cookies for $1.00 at the Math munch cafe.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                             Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

If you can get 6 cookies for $1.50, then the cost of each cookie is:

$1.50 ÷ 6 = $0.25

This means that for $1.00, you can get:

$1.00 ÷ $0.25 per cookie = 4 cookies

Therefore, you can get 4 cookies for $1.00 at the Math munch cafe.

Learn more about linear equation

brainly.com/question/11897796

#SPJ1

Answer:

0.0066

Step-by-step explanation:

The x has a distribution that is approximately normal. For normal distribution the probability of x will be,

u = 12 and 18

P (12 \(\leq\) \(x\) \(\leq\) 18)

P (- 2.3  \(\leq\) \(x\) \(\leq\) 2.85 )

P (0.9912 - 0.9978)

= 0.0066

The first answer is messed up at the 3+9 part because they were supposed to multiply 9 and 2 first.

The second answer is messed up at the beginning because they didnt to the parenthesis first.

Follow PEMDAS

Answer:

Weren’t supposed to add until the end

It was supposed to be 81 not 27

Step-by-step explanation:

It would take Fran and Denise (working together) approximately \(\frac{24}{7}\) hours to paint the living room.

To solve this problem, we can use the concept of "work rates."

Let's find out how much work Fran and Denise can do individually in one hour.

If Fran takes 6 hours to paint the living room alone, her work rate is \(\frac{1}{6}\) of the room per hour \((\frac{1 room}{6 hours } = \frac{1}{6}room/hour )\).

Similarly, if Denise takes 8 hours to paint the living room alone, her work rate is \(\frac{1}{8}\) of the room per hour \((\frac{1 room}{8 hours } =\frac{1}{8}room/hour )\).

When they work together, their work rates are additive.

So, their combined work rate would be:

\(\frac{1}{6} room/hour+\frac{1}{8} room/hour\)

\(=(\frac{4}{24} )room/hour + (\frac{3}{24} )room/hour\)

\(=\frac{7}{24} room/hour\)

This means that working together, Fran and Denise can paint \(\frac{7}{24}\) of the living room in one hour.

To determine the total time required for them to paint the entire room, we can invert their combined work rate:

\(\frac{(1 room) }{(\frac{7}{24}room/hour) } =\frac{24}{7}hour\)

Therefore, it would take Fran and Denise (working together) approximately \(\frac{24}{7}\) hours to paint the living room.

For such more questions on living room

https://brainly.com/question/31126272

#SPJ8

The probability that x a random variable is between 1.88 and 19.86 , i.e., P( 1.88< X< 19.86) is equals to the 0.9235 or 92.35%.

Let x be a random variable and it is normally distributed with a mean of 10 and a standard deviation of 5. We have to determine the probability that x is between 1.88 and 19.86 . In other words, X~ N( 10, 5) and P( 1.88< X< 19.86).

Mean, μ = 10

standard deviation, σ = 5

Normal distribution formula ,

Z = (X - μ)/σ

P( 1.88< X< 19.86) = P(( 1.88 - μ)/σ < (X- μ)/σ < ( 19.86 - μ)/σ)

= P((1.88 - 10)/5 < (X- 10)/5 < ( 19.86 - 10)/5)

= P(-8.12/5 < (X- μ)/σ < 9.86/5)

= P( - 1.624 < (X- μ)/σ < 1.972)

= P( - 1.624 < Z< 1.972)

= P( Z> 1.972) - P( Z< - 1.624)

P( 1.88< X< 19.86) = 0.92351

Hence, the required probability is 0.9235 .

To learn more about Normal distribution, refer:

https://brainly.com/question/4079902

#SPJ4

Answer:

7⁸ or 1/7⁸ I hope this help

Step-by-step explanation:

7⁻⁶/7² = ⁻⁽⁻⁶⁾= 7⁶+7²= 7⁸

Answer:

A,C,D,F

Step-by-step explanation:

Answer:

the answer would be b 5.5.5.5

Step-by-step explanation:

The value of the angle θ is approximately 24.2 degrees to 1 decimal place.

In a right-angled triangle, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. Given that tan θ = 23/52, we can find the value of the angle θ.

To find the value of θ, we can use the inverse tangent or arctan function. Taking the inverse tangent of both sides of the equation, we have:

θ = arctan(23/52)

Using a calculator or trigonometric tables, we can evaluate the inverse tangent of 23/52. The result is approximately 24.2 degrees.

Note that in the context of a right-angled triangle, the tangent function is defined for acute angles (less than 90 degrees). Since 0 degrees is the smallest possible angle, it is considered an acute angle in this case.

For more such questions on angle

https://brainly.com/question/31615777

#SPJ8

Answer:

46666

Step-by-step explanation:

Answer:

c 57

Step-by-step explanation:

The simplified form of the expression \((2x^3 y^2)^2 / (xy)^4\) without using exponents is \(4x^2.\)

Simplify the expression \((2x^3 y^2)^2 / (xy)^4\) without using exponents.

To simplify the expression without using exponents, we can rewrite it using multiplication and division:

\(((2x^3 y^2)^2) / ((xy)^4) = ((2x^3 y^2) \times (2x^3 y^2)) / ((xy) \times (xy) \times (xy) \times(xy))\)

Next, we can simplify the expression by multiplying and canceling out like terms:

\(= (4x^6 y^4) / (x^4 y^4)\)

Finally, we can further simplify by canceling out common factors:

\(= 4x^{(6-4)} y^{(4-4)\)

\(= 4x^2 y^0\)

Since any term raised to the power of 0 is equal to 1, we have:

\(= 4x^2\times 1\)

\(= 4x^2\)

For similar question on exponents.

https://brainly.com/question/29863607  

#SPJ11

The complete question may be like: Simplify the expression \((2x^3 y^2)^2 / (xy)^4\) without using exponents.

The volume of the circular cylinder be,

⇒ 62.8 mm³

Given that,

For a circular cylinder,

Height = 5 mm

Radius = 2 mm

Then we have to find the volume of this circular cylinder

Since we know that,

The right circular cylinder is a cylinder with circular bases that are parallel to each other. It's a three-dimensional form. The axis of the cylinder connects the centers of the cylinder's two bases.

This is the most frequent sort of cylinder encountered in daily life. The oblique cylinder, on the other hand, does not have parallel bases and resembles a skewed construction.

volume of circular cylinder = πr²h

Here we have,

r = 2 mm

h = 5 mm

Now put the values into the formula we get,

Volume = π x 2² x 5

             = 62.8 mm³

To learn more about volume visit:

https://brainly.com/question/16860802

#SPJ1

Answer:

diameter=12ft

radius=7 in

Step-by-step explanation:

The dot isn’t shaded so > or <

From -55, it’s showing small than

From -49, it’s showing greater than

x < -55 or x > -49

Answer:  x < -55 or x > -49

Step-by-step explanation:

x < -55 or x > -49

They both start with an opened circle, and also these two opened circle dots do not connect to each other. On the left side, the number is going from -55 to the smaller side, -57 or less, so we can say that x is smaller than -55. On the right side, the number goes from -49 to the bigger number, we can say that x is greater than -49.

Answer:

A bottle of juice that says it holds 2 cups actually only holds 1 cup 5 ounces. The bottle of juice holds  

3 ounces less than it should. This represents a  18.75  percent error.

Step-by-step explanation:

Answer:

each week he works 57.76 hours

Step-by-step explanation:

Answer:

○ \(\displaystyle SA = 2lw + 2lh + 2wh\)

Explanation:

A rectangle has four right angles, including two pairs of congruent edges, only containing two dimensions – height and length. Therefore, going three-dimensional, a rectangular prism has three dimensions – width, height, length. With this information, you should know what the answer is.

I am joyous to assist you at any time.

Answer:

the answer is 18.288

Step-by-step explanation:

meters=yards X 0.9144

so you do 20 X 0.9144

and you type that into the calculator and you will get 18.288

The expression |-4| has a value of 4 when evaluated

From the question, we have the following parameters that can be used in our computation:

|-4|

The above expression is an absolute expression

So, the solution is the positive value of the expression in bracket

Evaluate the expressions in the brackets

So, we have the following representation

|-4| = 4

Hence, the expression has a value of 4

Read more about expression at

brainly.com/question/15775046

#SPJ1

The number of pounds of strawberries sold and the number of pounds of grapes sold is 32 and 20 respectively.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given that the selling price of strawberries each pound = $2.50,

The selling price of grapes each pound = $2

The total earning = $160

Let x is the no of a pound of strawberries and y is the no of a pound of grapes sold, then equation will be,

x = y + 12 and 2.50x + 2y= 160

Solve the equation by substitution method;

x = 32 and  y = 20

Therefore, the number of pounds of strawberries sold is 32

the number of pounds of grapes sold is 20.

To know more about equation:

brainly.com/question/12788590

#SPJ1

Answer:

1 bottle = $3.50

Answer:

Step-by-step explanation:

The length of the third side is ( x - 2 )

Step-by-step explanation:

Volume of a box is the product of its length, width and height.

Volume of box = length × width × height.

One side is (x - 4) and another side is (2x + 1).

These given sides can be either length, height or width.

The volume of a box is given by V = 2x3-11x2 +10x +8. This means each of the sides are factors of the volume. To get the third side, we divide the volume by the product of the two given sides.

Product of the two given sides =

( x-4 ) (2x + 1) = 2x^2 + x - 8x + 4

= 2x^2 - 7x - 4

The long division is shown on the attached photo

The length of the third side is ( x - 2 )

Answer:

its x-4 ig

Step-by-step explanation:

If one side of the square is x-4 then the missing side has to be x-4 also.

This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.

Elimination of the parameter means to rewrite the equations in terms of only x and y. To do this, substitute t from one equation into the other equation. Here, the two equations are:x = t1/3 and y = t – 4Substitute t from the first equation into the second equation:y = (x^3) – 4Now the equation is in terms of x and y only.

This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.The rectangular equation, y = (x^3) – 4 can be plotted on a graph. It is a cubic equation. The graph will look like a curve that passes through the point (0, -4) and continues to move towards infinity. The graph will be symmetric to the origin because the equation involves an odd power of x.

If the equation involved an even power of x, the graph would be symmetric to the y-axis. The graph will never touch the x-axis or y-axis, it will only approach them.In conclusion, the rectangular equation y = (x^3) – 4 is derived from the two parameter equations, x = t1/3 and y = t – 4. The graph of this equation is a cubic curve that is symmetric to the origin. The curve passes through (0, -4) and approaches the x and y-axes but never touches them.

For such questions on Elimination

https://brainly.com/question/14485352

#SPJ8

Answer:  The product will always be a positive number.

Step-by-step explanation:

You can find the solution by using  any numbers and following the same procedure.

Let's say the six negative numbers are all -1      and  the three positive numbers are all positive  1's.

-1 * -1* -1 * -1 * -1 * -1  *  1 * 1 * 1  = 1  

Since the solution is  positive one, then it means  that the product will always be positive.

Answer:

yes

Step-by-step explanation:

divide each by 7 =

21/7 = 3

28/7 =4

35/7 = 5

3,4,5 are always a perfect triple, and multiples of 345 are perfect triples as well. Therefore, they are sides of a right triangle.