#1 Twenty five members of a travel club are planning their next club trip. Each member
has ranked their choices according to the following preference schedules. Is the plurality
winner the same as the majority winner?

Answer:

the answer is B) 12a+6b

Step-by-step explanation:

3+9=12 so 3a+9a=12a,

7-1=6 so 7b-(1)b=6b

Step-by-step explanation:

calm down ! just breathe.

these are totally simple additions and one also very simple subtraction to make.

you know that you can combine terms based on the same variable, right ?

3a + 9a = 12a

7b - b = 6b

the result is then

12a + 6b, so B is the right answer.

this bases already on the same principle of actual numbers.

2×3 + 5×3 = 7×3 because this is also

(2 + 5) × 3

or

6×5 + 6×3 = 6×8 because this is also

6 × (5 + 3)

or

7×8 - 4×8 = 3×8 because this is also

(7 - 4) × 8

and so on.

Answer:

13/12

Step-by-step explanation:

p=1/6+11/12=(2+11)/12=13/12

Answer:

c = green line

Answer:

21

Step-by-step explanation:

10.5 ÷ 3 = 3.5

3.5 × 6 = 21

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.

We can solve this problem in one single step, I'll start off with that.

We can first figure out what it says and make an algebraic equation. We can see what language the question uses and elaborate on that to create our equation.

[tex]5x-5<6x+2[/tex]

We can use algebra to simplify the equation so that we can solve for it.

[tex]-5<x+2\\-7<x\\x>-7[/tex]

We can check if this is correct by testing a few numbers from that range, I'll take -5 and 2.

[tex]5(2)-5<6(2)+2?\\10-5<12+2?\\5<14[/tex]

We've proven that 2 is working.

[tex]5(-5)-5<5(-5)+2?\\-25-5<-25+2?\\-30<-23[/tex]

We've also proven that -5 works.

We can now say that we've solved the problem, the solution of the problem would be x>-7.

Cheers!

Answer:

3√2 - 4√5 -

ig this is the answer

Answer:

3[tex]\sqrt{2}[/tex] - [tex]\sqrt{5}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying the radicals

[tex]\sqrt{18}[/tex]

= [tex]\sqrt{9(2)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex]

= 3[tex]\sqrt{2}[/tex]

---------------------------

[tex]\sqrt{20}[/tex]

= [tex]\sqrt{4(5)}[/tex]

= [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex]

= 2[tex]\sqrt{5}[/tex]

------------------------

[tex]\sqrt{45}[/tex]

= [tex]\sqrt{9(5)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex]

= 3[tex]\sqrt{5}[/tex]

Then

[tex]\sqrt{18}[/tex] + [tex]\sqrt{20}[/tex] - [tex]\sqrt{45}[/tex]

= 3[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{5}[/tex] - 3[tex]\sqrt{5}[/tex] ← collect like terms

= 3[tex]\sqrt{2}[/tex] - [tex]\sqrt{5}[/tex]

Answer:

Rectangular coordinates, or cartesian coordinates, come in the form (x,y).. Polar coordinates, on the other hand, come in the form (r,θ). Instead of moving out from the origin using horizontal and vertical lines, we instead pick the angle θ, which is the direction, and then move out from the origin a certain distance r.

The perimeter of the regular pentagon is 10 centimeters.

Given that the area of the regular pentagon is 6.9 cm2, and a regular pentagon has an apothem with length 1.38 centimeters and an area of 6.9 centimeters squared, to determine what is the perimeter the following calculation must be performed:

Therefore, the perimeter of the regular pentagon is 10 centimeters.

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Answer:

3.14 x 10,000 equals 31,400

Step-by-step explanation:

Answer:

31415.9

Step-by-step explanation:

yeah-ya............. right?

Answer:

16 sq mm

Step-by-step explanation:

hope this helps

Answer:

x2 + (y – 3)2 = 36

x2 + (y + 8)2 = 36

Step-by-step explanation:

The equation that represents circles that have a diameter of 12 units and a center that lies on the y-axis is,

⇒ x² + (y - 3)² = 36

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Since, The standard form for finding the equation of a circle is expressed as;

⇒ (x - a)² + (y - b)² = r²

where;

(a, b) is the center of the circle

And, r is the radius of the circle

Given that;

Diameter = 12 units

And, Radius = 12/2 = 6 units

If the center lies on the y-axis, the center will be at (0, 3)

Substituting into the formula, we will have;

⇒ (x - 0)² + (y - 3)² = 6²

⇒ x² + (y - 3)² = 36

Thus, The equation that represents circles that have a diameter of 12 units and a center that lies on the y-axis is,

⇒ x² + (y - 3)² = 36

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#SPJ5

The actual check begins by considering 2 hypotheses. they're referred to as the null hypothesis and therefore the various hypothesis.

Step-by-step explanation:

for the first one let's write our equation

(13x+2)+(3x-4)+(5x-7)=180

Combine like terms

21x-9=180

Add 9 to both sides

21x=189

Divide both sides by 21

x=9

Now for the second one

Let's write our equation

(19x-18)+(7x+1)+(10x-9)=180

Combine like terms

36x-26=180

Add 26 to both sides

36x = 206

Divide both sides by 36

x = 5.72222...

Answer:

12 3 30 16 18 2 8 6 2006 4 16 12 4 12 13

Step-by-step explanation:

Remainder Theorem states that if polynomial f(x) is divided by a linear binomial of the for (x - a) then the remainder will be f(a). Factor Theorem states that if f(a) = 0 in this case, then the binomial (x a) is a factor of polynomial f(x).

this is the correct answer

Answer:

If the sides of a triangle are in the ratio 3:4:5, prove that it is a right-angled triangle.

Step-by-step explanation:

In order to prove that the triangle is a right-angled triangle or not, take the ratio as the length of the sides then consider the triangle to be a right-angled triangle, then prove the Pythagoras theorem. If the sides satisfy the Pythagoras theorem, then it’s a right-angled triangle otherwise, it’s not a right-angled triangle.

We are given the sides of a triangle whose ratio is 3:4:5.

Considering the sides to be 3x,4x,5x.

Since, we know that the length of hypotenuse is always greater than the other two sides, so we are taking the hypotenuse to be 5x and other remaining sides to be 3x and 4x.

We are only considering that the given triangle is a right-angled triangle. For that we need to prove that the sides follow Pythagoras theorem.

So, for Pythagora's theorem, we know that the sum of the square of the base side and square of the height side is equal to the square of the hypotenuse.

Squaring the base side 4x, we get:

(4x)2=16x2 …….(1)

Similarly, squaring the height side 3x, we get:

(3x)2=9x2 …….(2)

Squaring the hypotenuse side 5x, and we get:

(5x)2=25x2 …….(3)

Taking the sum of (1) and (2):

16x2+9x2=25x2, which is equal to the equation (3).

That means the sum of the square of base and the square of height is equal to the square of hypotenuse, that satisfies the Pythagoras theorem, that implies the triangle ABC is actually a right-angled triangle, which is right-angled at B. And this proves our consideration to be true.

Answer:

it is a right triangle

Step-by-step explanation:

If the triangle is a right triangle, it will meet the Pythagorean theorem

a^2 + b^2 = c^2

3^2+4^2 = 5^2

9+16=25

25=25

This is true so it is a right triangle

Answer:

X=5

Step By Step:

Answer:

x=(m)(7)(6) or x=m*7*6

Step-by-step explanation:

Answer:

20v + 6

Step-by-step explanation:

Perimeter = v + 10 + v + 10 + 9v - 7 + 9v - 7

Perimeter = 2v + 18v + 20 - 14

Perimeter = 20v + 6

-Chetan K

Answer:

Perimeter = 9v - 7 + 9v - 7 + v + 10 + v + 10

= 20v + 6...ans

Step-by-step explanation:

The first digit of the whole- number quotient will be in the hundred place.

To determine which place will the first digit of the whole- number quotient be placed after taking the quotient of 572 and 4, we will follow the steps below;

[tex]\frac{600}{4}=\frac{150\times 4}{4 \times 1} =150[/tex]

From the result, we can see that the first digit of the whole- number quotient is to the nearest hundred (100)

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Answer:

d

Step-by-step explanation:

A)

The four small squares are all 3x3, so the perimeter is 3+3+3+3 = 12.

12 * 4 = 48

We can find the perimeter of the large diamond shape using the Pythagorean theorem, a^2 + b^2 = c^2

a = 4

b = 4

4^2 + 4^2 = c^2

16 + 16 = c^2

32 = c^2

c = 5.65685425

So the perimeter of the large diamond shape is

5.65685425+5.65685425+5.65685425+5.65685425 = 22.627417

48+22.6 = 70.6

B)

The areas of the small squares are 3x3 = 9

9 * 4 = 36

The area of the large diamond shape is

5.65685425 * 5.65685425 = 32

36 + 32 = 68

Answer:

Slope = -3/4

Y-intercept = (0, 3)

Step-by-step explanation:

Rise/Run

-3 Rise and 4 Run

Meets y-axis at y=3. x=0, so (0, 3).

Answer:

y intercept is 3 and the slope is -3/4

Step-by-step explanation:

the line hits the y axis at point 3, and the slope is the rise over run so it is down three and right 4 so -3/4

Answer:

0.62 < 5/8 < 0.71 < 0.8

That’s it in ascending order

0.8 > 0.71 > 5/8 > 0.62

That’s it in descending order

Step-by-step explanation:

Answer:

62%, 5/8, 0.71, 0.8

Step-by-step explanation:

62% in form of a decimal is 0.62 and 5/8 is 0.625 when u round off its 0.63 which is 0.01 more than 62%. then 0.71 is 0.1 less than 0.8

Answer:

6 or 7/6

Step-by-step explanation:

they are both prime so 2*3=6

4/6+3/6=7/6

Answer:

21/31/6/2/34861/27651/7266163)

The metric unit of a quantity is simply the unit of measurement of the quantity

The volumes of the crashed tomato cans are 1184 milliliters and 1.184 liters

The volume of the crushed tomato can is given as:

[tex]\mathbf{Volume = 40oz}[/tex]

From the question, we have the following conversion ratio

[tex]\mathbf{1oz \approx 29.6mL}[/tex]

So, the volume in milliliters becomes

[tex]\mathbf{Volume = 40 \times 29.6mL}[/tex]

Multiply

[tex]\mathbf{Volume = 1184mL}[/tex]

To convert the unit to liters, we simply divide the volume by 1000.

So, we have:

[tex]\mathbf{Volume = 1184L \div 1000}[/tex]

[tex]\mathbf{Volume = 1.184L}[/tex]

Hence, the equivalent volumes are 1184 milliliters and 1.184 liters

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Answer:

50 second

Step-by-step explanation:

let the distance between Michael and kyle (s)

s= 50 m

we want to know how long it takes for Michael(speed 4 m/s ) to reach kyle(3m/s)

v = s/t

t = s/v

Vm = speed of Micheal

Vk = speed of kyle

v = ( Vm - Vk )

t = 50/(4-3) = 50 second

Answer:

Slope: -5/3 , Y-intercept: (0,5)

Step-by-step explanation:

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