The number of toys in the closet varies inversely with the number of children in the room. If there are 15 toys in the closet when there are 3 children in the room, how many toys are in the closet when 5 children are in the room

Answer:

S = v1 t1 = 7 t1    traveling downstream

S = v2 t2 = 5 t2    traveling upstream

7 t1 = 5 t2

7 (6 - t2) = 5 t2     since t1 + t2 = 6

42 - 7 t2 = 5 t2

t2 = 42 / 12 = 3.5 hrs so t1 = 2.5 hrs

S = 7 t1 = 7 * 2.5 = 17.5 mi

Also, S = 5 t2 = 5 * 3.5 = 17.5 mi

Answer:

4.7 (does not =) 2.8125

Step-by-step explanation:

Divide 9/3.2

The area of the triangle is 97.07 units².

Given is a triangle we need to find the area,

So, let the triangle be ABC and the altitude be AD.

Using the trigonometric ratios,

Sin 52° = AB / AD

Sin 52° = 9 / AD

AD = 9 / Sin 52°

AD = 11.42

Now,

Tan 26° = DC / AD

Tan 26° = DC / 11.42

DC = 5.56

Also,

Cos 26° = AD / AC

Cos 26° = 11.42 / AC

AC = 12.7

BC = 11.42 + 5.56

BC ≈ 17

Now, the sides are BC = 17, AC = 12.7 and AB = 9,

The area of the triangle = 1/2 x BC x AD = 1/2 x 17 x 11.42

= 5.71 x 17

= 97.07

Hence the area of the triangle is 97.07 units².

Learn more about area of a triangle click;

https://brainly.com/question/27683633

#SPJ1

How are you I'm lonely sooooo

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

Learn more on a Ferris wheel here;

https://brainly.com/question/30524034

#SPJ1

Answer:

12 ft

Step-by-step explanation:

we know the areas of the 2 top squares.

the area of a square is simply the square of its side length.

=>

81 ft² means side length is 9 ft.

225 ft² means side length is 15 ft.

these are also 2 of the sides of the right triangle.

the third side we get by using Pythagoras :

c² = a² + b²

with c being the side opposite of the 90 degree angle.

so,

225 = 81 + x²

as x is also the third side of the triangle.

=> 144 = x²

x = 12 ft

Answer:

The answer is 30/10

Step-by-step explanation:

30 divided by 10 is 3.

The value of y when a = 1 and b = 2 is 22.

The equation of can be solved as follows: We will substitute the value of a and b  in the equation to find the value of y.

Therefore,

y = 3ab + 2b³

Let's find y when a = 1 and b = 2

Hence,

y = 3(1)(2) + 2(2)³

y = 6 + 2(8)

y = 22

Therefore,

y = 22

learn more on equation here: https://brainly.com/question/29663159

#SPJ1

Set D ∈ {76, 90, 92, 94, 96}

Sets are groups of clearly defined objects or elements in mathematics. A set is denoted by a capital letter, and the cardinal number of a set is enclosed in a curly bracket to indicate how many members there are in a finite set.

As per the given data:

Set D consists of positive two-digit even numbers greater than 74 without the digit 8 in them.

For writing set D in the roster form:

For greater than 74:

{76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98}

Without the digit 8:

{76, 90, 92, 94, 96}

Hence, Set D ∈ {76, 90, 92, 94, 96}

To learn more about sets, click:

brainly.com/question/8053622

#SPJ1

Answer:

129

Step-by-step explanation:

all u have to do is add those two numbers

Answer:

114 - 15 = 99

Step-by-step explanation:

A "number" can be used as x since we don't know what it is at first- since it'd be x + 15 = 114 you can just do 114 - 15 to get the answer to x which is 99:)

Rounding to the nearest hundredth, the area is approximately 151.976 cm².

The formula for the area of a sector is:

A = (θ/360) x πr²

where θ is the central angle in degrees, r is the radius, and π is pi (3.14).

Plugging in the given values, we get:

A = (144/360) x 3.14 x 11^2

A = 0.4 x 3.14 x 121

A = 151.976

To learn more about the area;

https://brainly.com/question/27683633

#SPJ1

The length of side X in simple radical form with a rational denominator is 25/√3.

In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):

Adjacent side = 5/√3

Hypotenuse, x = 5 × 5/√3

Hypotenuse, x = 25/√3.

Read more on 30-60-90 triangle here: brainly.com/question/30283450

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

free points lol,srry....

n is less than or equal to 5

3:5

The question asks for the ratio of green marbles to blue marbles. As stated in the question itself, Joann has 3 green marbles and 5 blue marbles. We can ignore the yellow marbles, while we're at it.

Blue:green

3:5

Answer: 200cm

Calculation: 15cm times 8=120

20cm times 4= 80

Add 120+80= 200cm

Area of rectangular prism: Base x Height.

so 3x1/3x2/5=0.4 0r 2/5

Sara and Ashton both have the same number of comic books after 10 months

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

Sara

Initial = 12 comic books

Books at the fourth month = 20

Ashton

Initial = 2 comic books

Books each month = 3

The equations can be represented as

Total number of books = Initial + Books each month * Number of months

Rewrite as

y = Initial + Books each month * x

For Ashton, the equation is

y = 2 + 3x

For Sara, we have

y = 12 + Books each month * Number of months

So, we have

20 = 12 + Books each month * 4

This gives

Books each month = 2

So, the equation is

y = 12 + 2x

Substitute y = 2 + 3x in y = 12 + 2x

2 + 3x = 12 + 2x

Evaluate the like terms

x = 10

This means that

Number of months = 10

Hence, the number of months is 10

Read more about linear equations at

https://brainly.com/question/13738662

#SPJ1

Complete question

Sara started with 12 comic books in her collection. She collected the same number of comic books each month until she had 20 comic books in the 4th month. Ashton started with 2 comic books in his collection and continues to collect 3 comic books each month.

Calculate when they both have the same number of books

Answer:

They are equivalent because they both equal . 8 no matter what because 0's won't matter after the last actual value

Step-by-step explanation:

\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

The answer is below

Step-by-step explanation:

The profit equation is given by:

p(t)= -25t³+625t²-2500t

The maximum profit is the maximum profit that can be gotten from selling t trailers. The maximum profit is at point p'(t) = 0. Hence:

p'(t) = -75t² + 1250t - 2500

-75t² + 1250t - 2500 = 0

t = 2.3 and t = 14.3

Therefore t = 3 trailers and t = 15 trailers

p(15) = -25(15³) + 625(15²) - 2500(15) = 18750

Therefore the company makes a maximum profit of approximately $18750 when it sells approximately 15 trailers.

Answer:

See below

Step-by-step explanation:

Since t is number of trailers, the domain includes only those values greater than 0.

On the relevant domain, the graph crosses the x-axis at the points (5,0) and (20,0). Between these points, the value of p(t) is positive. So the company makes a profit when it sells between 5 and 20 trailers.

On the positive interval between these points, the graph reaches a relative maximum when t roughly equals 14 and p(t) roughly equals $19,000.

So the maximum profit of approximately $19,000 occurs when it sells approximately 14 trailers.

【>> https://brainly.com/question/17076084 <<】

, .

Answer:

2x2x2x2x3x7,This is because all of that sum equals the total of

Step-by-step explanation:

2x2x2x2x3x7

Answer:

an = 8+3(n-1)

Step-by-step explanation:

We are adding 3 each time so the common difference is 3

8+3=11

11+3= 14

14+3 =17

The formula for an arithmetic sequence is

an = a1 + d(n-1)  whew a1 is the first term and d is the common difference

an = 8+3(n-1)

\(\\ \sf\longmapsto 3x+5=6x-7\)

\(\\ \sf\longmapsto 6x-3x=5+7\)

\(\\ \sf\longmapsto 3x=12\)

\(\\ \sf\longmapsto x=4\)

Answer:

Step-by-step explanation:

We know that:

Given:

Solution:

Taking the "-7" on the LHS and the "3x" on the RHS:

Adding/Subtracting:

Dividing:

Now, let's substitute the value of x into the expression of SP.

Hence, the measure of SP is 17 units.

Answer:

the answer is 1. 6x+4

Step-by-step explanation:

Step-by-step explanation:

directly proportional means

y = kx

with k being a constant factor for all values of x.

we get k by using the given data point (10, 15).

15 = k×10

k = 15/10 = 1.5

so, now for the other tree we know k and x and calculate y

y = 1.5×14.4 = 21.6 m

it is 21.6 m tall (its height is 21.6 m).

Answer:

The normal price of a pen is £8

Step-by-step explanation:

let p be the normal price.

The statement : “normal prices are reduced by 15%. The normal price of a pen is reduced by £1.20”

Means

\(p \times \frac{15}{100} = 1.20\)

Then

\(p = 1.20 \times \frac{100}{15} = \frac{120}{15} = 8\)

Answer:

The normal price of the pen is £8

Step-by-step explanation:

Reduced by 15%

Reduced by £1.20

Meaning that 15% is £1.20

To find the 100% or the normal price of the pen we find the 1% first then the 100%

So, 1% = £1.20/15

100% =£1.20/15 x 100

= 8

Checking..

If normal price was 8 and reduction is 15%

8(1- R/100) {R = %}

8(1 -15/100) = 6.8 (Reduced price)

8 - 6.8 = £1.20 ( Reduction price aka the 15%)

Therefore, the normal price of the pen is £8.

An ordered pair that describes where the third vertex could be located is: A. (1, 3).

The points where Curtis's house and Jean's house are located is shown in the coordinate grid below.

The number of minutes it would take Curtis to ride from his house to Jean's house is 45 minutes.

In Mathematics and Science, speed is the distance covered by a physical object per unit of time.

In Mathematics and Science, the speed of any a physical object can be calculated by using this formula;

Speed = distance/time

By making time the subject of formula, we have:

Time = distance/speed

Since Curtis can ride his bike at a constant rate (speed) of 12 miles per hour, the number of minutes it would take Curtis to ride from his house to Jean's house can be calculated as follows;

Distance = |-6 - 3| = 9 miles

Time = 12/9

Time = 0.75 hour

Conversion:

1 hour = 60 minutes

Time = 60 minutes × 0.75

Time = 45 minutes

Read more on speed here: brainly.com/question/8163450

#SPJ1