Solve for X, Leave in simplest radical form.

The ratio of students who want waffles to the total number of students is 7/8.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Out of 8 students, 1 student wants pancakes and 8 - 1 = 7 students want waffles.

To find the ratio of the number of students who want waffles to the total number of students, we can divide the number of students who want waffles by the total number of students and express the result as a fraction.

So the ratio is:

(Number of students who want waffles) / (Total number of students) = 7/8

This fraction can be simplified by dividing both the numerator and denominator by the greatest common factor, which in this case is 1, so it remains the same.

Hence, the ratio of students who want waffles to the total number of students is 7/8.

To learn more about the ratio visit,

https://brainly.com/question/12024093

#SPJ1

By following the above procedure and having done the calculations the following questions can be answered:

Learn more about Shadow cast :

https://brainly.com/question/26950457

#SPJ4

It is possible to construct a triangle whose sides are 3 cm 4 cm and 5 cm because the sum of two sides are greater than three sides.

In the given question, we have to classify a triangle having the sides 3cm 4cm and 5cm.

The sum of the two sides must always be greater than the third side in order to determine whether or not the given sides may form a triangle.

To check this we firstly add the 10.2 and 5.8

3 + 4 > 5

7 > 5

Now we add 3 and 5

3 + 5 > 4

8 > 4

Now we add 4 and 5

4 + 5 > 3

9 > 3

It is possible to construct a triangle whose sides are 3 cm 4 cm and 5 cm because the sum of two sides are greater than three sides.

To learn more about construct a triangle link is here

brainly.com/question/17209323

#SPJ4

Option B and option C are correct, RT is the altitude of triangle PQR and RS is the median of triangle PQR

A triangle is a three-sided polygon that consists of three edges and three vertices.

A median of a triangle is a line segment that joins a vertex to the mid-point of the side that is opposite to that vertex

The altitude of a triangle is the perpendicular drawn from the vertex of the triangle to the opposite side.

RT is the perpendicular to the triangle PQR

RT is the altitude of triangle PQR.

RS is the median of triangle PQR

Hence, option B and option C are correct, RT is the altitude of triangle PQR and RS is the median of triangle PQR

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ1

The time taken by them when working together is 40 / 9 hours.

A unit rate means a rate for one of something.

Given that, Raymond took 10 hours to build a small wall and Gideon took 8 hours to build the same size wall.

Calculating their unit rates,

Work done by Raymond in 1 hour = 1 / 10 units

Work done by Gideon in 1 hour = 1 / 8 units

Therefore,

Wok done by them in 1 hour when working together =

= 1 / 10 + 1 / 8

= (5+4) / 40

= 9 / 40 units

Since, they are doing the 9 / 40 units of the work in 1 hour,

Therefore, whole work will be done in 40 / 9 hours by them.

Hence, the time taken by them when working together is 40 / 9 hours.

Learn more about unit rates, click;

https://brainly.com/question/29781084

#SPJ1

Answer:

y = 8

Step-by-step explanation:

5x + 2y = -6 .... 5x = -6 - 2y ...... x = -6/5 -2y/5

3 × ( -6/5 -2y/5 ) - 2y = 22

-18/5 - 6y/5 - 2y = 22 ... (×5)

-18 - 6y - 10y = 110

-16y = 128 .... (× -1)

16y = -128 .... (÷16)

y = 8

The marginal distribution of tenure in counts for those who own a home is 76, while for those who rent a home is 40.

The marginal distribution of a subset of a group of random variables is the probability distribution of the variables included in the subset. It shows the probabilities of various values of the variables in the subset without reference to the values of the other variables.

Marginal variables are those variables in the subset of variables being included. These concepts are "marginal" because they can be encountered by summing values in a table along rows or columns, and writing the sum in the margins of the table.

For the given data. The marginal distribution of tenure can be calculated as,

Owns home = 71 + 5 = 76

Rents home = 13 + 27 = 40

--The given question is incomplete, the complete question is

"Here is a table classifying 116 thousand US households (in thousands) in 2013 by tenure and insurance. Here is a table giving the number of US households (in thousands) in 2013 by tenure and insurance status:

Insurance status

Owns home

Rents home

Insured

71

13

Uninsured

5

27

Find the marginal distribution of tenure in counts.

Owns home:

Rents home:"

To know more about marginal distribution, here

https://brainly.com/question/14310262

#SPJ4

The size of an exterior angle of a regular 15-sided polygon is 24°.

To find the size of each interior angle of a regular polygon you need to find the sum of the interior angles first.

If the number of sides is n, then the sum of the interior angles is:

S = 180 (n-2)

This formula derives from the fact that if you draw diagonals from one vertex in the polygon, the number of triangles formed will be 2 less than the number of sides. Each triangle has 180°.

This form of the formula derives from drawing triangles in the polygon by drawing lines from a central point to each vertex. In this way the number of triangles is the same as the number of sides, but the angles at the centre are not required, so 360° is subtracted.

Once you have the sum of all the interior angles you divide by the number of sides to find the size of each interior angle.

Each interior angle of a regular polygon with n sides:

θ = 180°(n-2)/n

Put n = 15

∴ θ = 180°(15-2)/15 = 156°

Each exterior angle of a regular polygon with n sides:

β = 180° - θ

Put θ = 156°

∴ β = 180° - 156° = 24°

Thus, the size of an exterior angle of a regular 15-sided polygon is 24°.

To learn more about angles, visit brainly.com/question/28451077

#SPJ4

Answer:187

Step-by-step explanation:

Answer:

2x -y+13=0

Step-by-step explanation:

the given equation of the line is ,

[tex]\implies \rm y = 2x + 6 [/tex]

as we know that the slope of parallel lines are same so the line parallel to the given line will have the same slope as the given line . Comparing it to slope intercept form of the line we have ,

[tex]\implies \rm m = 2 \ (slope)[/tex]

Now we may use the point slope form of the line to find out the equation of the line as ,

[tex]\implies \rm y - y_1 = m(x-x_1)\\[/tex]

[tex]\implies \rm y -(-5) =2\{ x -(-9)\}\\[/tex]

[tex]\implies \rm y +5 = 2(x+9)\\ [/tex]

[tex]\implies \rm y +5 = 2x +18\\[/tex]

[tex]\implies \rm 2x -y+18-5=0\\[/tex]

[tex]\implies \rm 2x - y +13=0[/tex]

And we are done!

-Rishabh

Answer:

The graph of the equation y = -3 is a line parallel to the x-axis.

Step-by-step explanation:

Write the equation of a line which is parallel to x−axis at a distance of 5 units from it, and another line parallel to y−axis at a distance of 7 units from it.

Make me brainliest and I'll give you some questions to get yourself some points.

Answer:

b

Step-by-step explanation:

Answer: j  = 7

Step-by-step explanation:

if we do 42 divided by 6 we would have a quotient, 7 so j would be equal to 7.          Hope this helped ^^

Answer:

j  = 7

Step-by-step explanation:

Reason:

Plug x = 0 into f(x)

f(x) = -3x-5

f(0) = -3*0-5

f(0) = 0-5

f(0) = -5

This then means,

g(x) = f(x)+9

g(0) = f(0)+9

g(0) = -5+9

g(0) = 4

The y intercept of g(x) is 4; meaning it is located at (0,4).

The closest answer to the actual length of the shortest side, in meters, is G. 333.

Length is a measurement of distance or size. It can refer to the physical size of an object, such as its height, width, or depth, or it can refer to the amount of time it takes to complete an activity. Length is measured in a variety of units including inches, feet, meters, and miles. Length is one of the three fundamental dimensions of physical space, along with width and height.

This is because the ratio of the actual length of the longest side (1,000 meters) to the longest side on the map (9 inches) is 111.11:1. Therefore, the ratio of the actual length of the shortest side to the shortest side on the map is 111.11:3, which is equal to 37.04:1. When we multiply 3 inches (the length of the shortest side on the map) by 37.04, we get 111.12, which is closest to 333 meters (G).

To know more about length click-
https://brainly.in/question/48573392
#SPJ1

The Train to travel that distance =60kmh300km=5h.

It measures how far an object travels in relation to how long it takes to travel that distance.

Due to its scalar nature, speed lacks direction.

It represents the rate of an object's motion.

Particles move swiftly when their speed is high, and slowly when their speed is low.

Example

The average speed of a train while it travels 300 kilometres per hour is 60 km/h. Approximately how long does it take to travel that distance?

Speed = 60 km/h 1.

300 kilometres were travelled;

∵  Speed = Distance covered / time taken

∵ Time taken = Distance covered / Speed

= 60kmh −1 / 300km  =5h.

To Learn more About distance Refer To:

https://brainly.com/question/26550516

#SPJ1

The statements that are true is A,C,D

The area of the circle is defined as the product of the pie and the square of the radius.

The area of the circle = [tex]\pi r^{2}[/tex]

[tex]\pi[/tex]= 3.14

Given;

The length of the circumferences of the 3 holes is 38m millimeters. The large hole has a diameter of 14 millimeters

2[tex]\pi[/tex]R+2[tex]\pi[/tex]r+2[tex]\pi[/tex]r=38

R+2r=19/3.14...1

Radius of large hole=14/2=7mm

Substituting the value of R in equation 1

7+2r=19/3.14

2r=19*7/3.14

r=21.178

Therefore;

The small holes each have a radius of 12 millimeters.- True

The large hole has an area of approximately 615.5 square millimeters.-false

The combined length of the circumferences of the small holes is 24m millimeters.-True

The diameter of the large hole is 2 millimeters longer than that of each small hole.- True

Learn more about area of a composite figure here:

https://brainly.com/question/10254615

#SPJ1

Answer:

x = 3 is 17

Step-by-step explanation:

Given the function y = 5x + 2, the y-value when x = 3 is calculated as follows:

y = 5x + 2

y = 5 * 3 + 2

y = 15 + 2

y = 17

So the y-value when x = 3 is 17.

The piecewise function of the given function is

y= -x/2+4 if x ≥ -2

y=  x/2+6 if x < -2

The solution is obtained using the modulus function.

What is modulus function?

The magnitude of a given number is indicated by the modulus of the number. By definition, a modulus function is a real-valued function, such as f: R -> R, where y = |x| for any x R OR f(x) = |x|.

F(x) is equal to the positive value of x for every non-negative value of x. However, f(x) is equal to the negative value of x for negative x values.

We are given y=-1/2|x+2|+5

So, first we need to solve for x+2≥0

We get x≥-2

Now, we get two equations,

y=-1/2(x+2)+5 if x ≥ -2

y= 1/2(x+2)+5 if x < -2

On solving the equations, we get

y=-1/2(x+2)+5 if x ≥ -2

y= -x/2-1+5

y= -x/2+4

y= 1/2(x+2)+5 if x < -2

y= x/2+1+5

y=  x/2+6

Hence, the final answer as a piecewise function is

y= -x/2+4 if x ≥ -2

y=  x/2+6 if x < -2

Learn more about modulus function from the given link

https://brainly.com/question/30098547

#SPJ1

40L of each solution should be used

percentage, a relative value indicating hundredth parts of any quantity.

Let x=amount of 32% insecticide needed

Then 100-x=amount of 55% insecticide needed

Now we know that the amount of pure insecticide in the 32% solution(0.32x) plus the amount of pure insecticide in the 55% solution(0.55(100-x)) has to equal the amount of pure insecticide in the final mixture (0.44×100).

So our equation to solve is:

0.32x+0.52(100-x)=0.44×100 get rid of parens

0.32x+52-0.52x=44

52-44-0.2x=0

8=0.2x

x=40L

Hence, 40L of each solution should be used

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ1

Answer:

Step-by-step explanation:

84.99 plus 44.99 = 129.98. Ur welcom.

The equation of a horizontal line passing through the point (- 3 8) is y = 8

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

Point = (-3, 8)

This means that

(x, y) = (-3, 8)

Horizontal lines that do not pass through the origin do not intersect with the x-axis

This means that

Line = y

So, we have

y = 8

Hence, the equation is y = 8

Read more about line equations at

https://brainly.com/question/18831322

#SPJ1

If your friend wants to mark her favorite campsite on the map. distance on the map (in inches) that represents the actual distance of 65 miles is 3.25.

Scaling drawing 1/2 in = 10 miles

Scaling drawing 1 in = 20 miles

So,

Actual distance = 65 miles

Drawing distance = x inches

1 in /20 mi = x in /65 mi

Cross multiply

20x =65

Divide both side by 20x

x = 65/20

x = 3.25 inches

Therefore the distance is 3.25inches.

Learn more about distance here:https://brainly.com/question/26550516

#SPJ1

Acute angle triangle examples are Equilateral Acute Triangle, Isosceles Acute Triangle, and Scalene Acute Triangle.

The definition of an acute triangle states that it is a type of triangle in which all three interior angles are acute angles or less than 90°. The sides of an acute-angled triangle can be similar or unequal depending on whether the triangle is equilateral, isosceles, or scalene.

As we know that triangles can be categorised on the basis of sides and angles, an acute triangle can also be further categorised as:

Equilateral Acute Triangle: In an equilateral acute triangle, all three angles are equal to 60° and all sides are equal.

Isosceles Acute Triangle: In an isosceles acute triangle, two sides and two angles are equal, and all interior angles are less than 90°.

Scalene Acute Triangle: In a scalene acute triangle, all the 3 sides are of dissimilar lengths and the 3 interior angles are of dissimilar measures but all the interior angles measure less than 90°.

To know more about interior angles, here

https://brainly.com/question/2125016

#SPJ4

Answer:

x=10, y= [tex]-\frac{10}{6}[/tex]

Step-by-step explanation:

Add the two equations together

10x + 0y = 100 (+6y + (-6y) =0)

10x = 100

x = 10

substitute x=10 into 3x-6y=40 (either equation is fine)

3(10) - 6y=40

30-6y=40

-6y=10

y= [tex]-\frac{10}{6}[/tex]

The interest paid if you purchase this car is $4,860.

A monthly payment is a payment made every month to pay off loans or advances. It's similar to EMI.

The interest rate used can be found using the formula: Interest rate = (monthly payment x number of payments) / principal.

Interest rate = (450 x 36) / 10000 = 16.2%

The interest rate used is 16.2%

The interest paid can be calculated using the formula: Interest = Principal x Interest rate x Number of payments / 12

Interest = 10000 x 0.162 x 36/12

Apply the multiplication operation, and we get

Interest = 4,860

Thus, the interest paid if you buy this car is $4,860

Learn more about the monthly payments here:

https://brainly.com/question/20761642

#SPJ1

Exact values of csc θ=10/[tex]\sqrt{51}[/tex] and tan θ=       [tex]-\sqrt{5}/7[/tex]

Let θ be an angle in quadrant II such that cos θ = −7/10.

[tex](sinx^)^2 +(cosx)^2=1[/tex]

sin θ =[tex]\sqrt{51/100}[/tex]

cscθ=1/sinθ

cscθ=10/[tex]\sqrt{51}[/tex]

tanθ=sinθ/cosθ

tanθ= [tex]-\sqrt{5}/7[/tex]

Exact values of csc θ=10/[tex]\sqrt{51}[/tex] and tan θ=       [tex]-\sqrt{5}/7[/tex].

Learn more about quadrant,

https://brainly.com/question/30196267

The Average Rate of Change on the table from 2 ≤ x ≤ 5 is 3

The average rate of change of a function is a measure of how the output value of the function (y) changes with respect to the input value (x) as x changes. Mathematically:

Average rate of change = Δy/Δx

To find the Average Rate of Change on the table from 2 ≤ x ≤ 5:

when x =2, h(x) = 0 and when x = 5, h(x) = 9

Average rate of change = Δh/Δx

Average rate of change =  (9 - 0) / (5 - 2)

Average rate of change =  9/3

Average rate of change =  3

Learn more about average rate of change on:

brainly.com/question/12363445

#SPJ1

No, the segments connecting points A, B, and C does not to form a right-angled triangle.

Mathematically, Pythagorean's theorem is given by this mathematical expression:

a² + b² = c²

Where:

a, b, and c represents the length of sides of a right-angled triangle.

In order for the segments connecting points A, B, and C to form a right-angled triangle, its side lengths must satisfy the Pythagorean's theorem:

AB² = (xB - xA)² + (yB - yA)²

AB² = (6 - (-2))² + (2 - 2)²

AB² = 8² + 0²

AB² = 8²

AB = 8

AC² = (xC - xA)² + (yC - A)²

AC² = (0 - (-2))² + (6 - 2)²

AC² = 2² + 4²

AC² = 4 + 16

AC = √20

BC² = (0 - 6)² + (6 - 2)²

BC² = (-6)² + 4²

BC² = 36 + 16

BC = √52

From Pythagorean's theorem, we have:

a² + b² = c²

√20² + √52² = 8²

20 + 52 = 64

72 ≠ 64 (False, not a right-angled triangle).

Read more on Pythagoras theorem here: brainly.com/question/16376191

#SPJ1

Value of (f+g)(x) = 7x² + 12x - 9

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given function

f(x) = 6x² + 12x - 6

g(x) = x² - 3

(f+g)x = f(x) + g(x)

= 6x² + 12x - 6 + x² -3

adding like terms

= 7x² + 12x - 9

Hence, 7x² + 12x - 9 is the value of (f+g)(x) .

Learn more about function here:

https://brainly.com/question/12431044

#SPJ1

Answer: $6,992

Step-by-step explanation:

First you add 205 and 232 then multiply your answer by 16