Two people ran in a city election. The winner received 1 more than 3 times as many votes as the runner-up. Let w represent the number of votes the winner received. Let x represent the number of votes the runner-up received. The number of votes the runner-up received is known. Which equation represents the number of votes the winner received?​

Inequalities help us to compare two unequal expressions. The number of seats in each row on the floor must be less than 18.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

Given the balcony has 400 seats, and the floor has 50 rows with each row having x number of seats. Therefore, the number of seats on the floor will be,

Number of seats on floor = 50 × x = 50x

Since the total number of seats in the auditorium should be less than 1300, therefore, the inequality can be written as,

Number of seats in balcony + Number of seats on floor < 1300

400 + 50x < 1300

50x < 1300-400

50x < 900

x < 18

Hence, the number of seats in each row on the floor must be less than 18.

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Answer:

KPJ= 40 degrees

Step-by-step explanation:

EPG=35

EPG=FPK because they are symmetrical

135+105=140

180-140=40

DPE=40

DPE=KPJ because they are symmetrical

KPJ=40

Step-by-step explanation:

if that is a problem for the end of the school year, what problems did you solve during the year ?

this question needs one of the basic principles of angles :

the sum of all angles around one point on one side of a line is always 180°, because that line can be seen as the diameter of a circle, and the point is the center of that circle. so, all angles in one side of the line are representing a half-circle.

this special point here is clearly T.

and 85 + x = 180

x = 180 - 85 = 95°

Answer:

37.5 miles

Step-by-step explanation:

y = 1.5x + 15

1.5 * 15 = 22.5

22.5 + 15 = 37.5

Answer:

The wall is 40 feet wide.

Step-by-step explanation:

92.8 / 0.29 = 320 square feet

320 / 8 = 40 feet

Answer:

No

Step-by-step explanation:

The tangent line must form a right angle with the radius

No, 4 5 6 isn't a right triangle

Answer:

Line m is not a tangent line to circle B.

Step-by-step explanation:

The tangent line to a circle is always perpendicular to the radius.

The line segment measuring 4 units is the radius of Circle B, therefore if line m is a tangent line to the circle, the angle between this segment and the segment measuring 5 units will be a right angle (90°).

We can use Pythagoras' Theorem to check if the triangle is a right triangle.

Pythagoras’ Theorem:  [tex]a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Therefore, the legs are the line segments measuring 4 and 5, and the hypotenuse is the line segment measuring 6 units.

Substituting the values for the legs into the formula:

[tex]\implies 4^2+5^2=c^2[/tex]

[tex]\implies 16+25=c^2[/tex]

[tex]\implies 41=c^2[/tex]

[tex]\implies c=\sqrt{41}[/tex]

Therefore, as the hypotenuse of the triangle is not √41, the triangle is not a right triangle, and therefore line m is not a tangent line to circle B.

Answer:

it shows that the least amount is 37.5 minutes           it shows the most amount of time is 60 minutes         one thing it does not show is how many students where in the class

Step-by-step explanation:

Answer:

this is for A Part A: it shows that the least amount is 37.5 minutes

         it shows the most amount of time is 60 minutes

       one thing it does not show is how many students where in the class

Step-by-step explanation:

Well, you need to know the aton mic weight of Platinum (Pt) and the number of atoms per mole. The answer to the former is 195.084 g/mole and the latter is 6.023 * 10^23 atoms/mole. Then, multiply everything as shown below:

Number of atoms = (1 g) * (1/195.084 g/mole) * 6.023 * 10^23 atoms/mole

Number of atoms = 3.087 * 10^21 atoms

Note, I’ve included units on everything and you can see that they all cancel except for atoms. Dragging the units along can be a pain but it is a great way to check that they way the numbers are being combined is

The solution  of the given  two positive consecutive even integers will be  a = 20 and b = 21

An integer is a number whose values are ranges from 0 to infinite positive and zero to infinite negative.

Given that :

2a-3b = -23

a and b are consecutive

Find:

a and b

Computation:

a = b - 1

So,

2a-3b = -23

2(b-1)-3b = -23

2b - 2 - 3b = -23

-b = -21

b = 21

So

a = b - 1

a = 21-1

a = 20

Hence the solution  of the given  two positive consecutive even integers will be  a = 20 and b = 21

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Answer:

The circumference of a circle with a radius of 7 millimeters is 44.0 (rounded to the nearest tenth).

Step-by-step explanation:

The circumference of a circle is the distance around the outside of the circle. The circumference along with the diameter and radius are the 3 major aspects of a circle.

The circumference of a circle is found using this formula:

For this problem, the radius has been given, so to solve, let's use the formula: [tex]c=2\pi *r[/tex].

It has been given that the radius is equal to 7 and the unit of measure is millimeters.

So to start, let's plug the radius in the formula.

It should look like this: [tex]C=2\pi *7[/tex]

After plugging the radius into the formula, we now have to multiply [tex]2\pi[/tex] by [tex]7[/tex]; resulting in: ≈ [tex]43.9823[/tex] (estimate)

Now rounding to the nearest tenth:

≈ [tex]44.0[/tex]

Answer:

47 degrees

Step-by-step explanation:

Similar just means they may be different sizes but have the same angle measure. That means the angles will be identical in both triangles A and B.

All angles must add up to 180 degrees. We already have two angles, so we just need to find the last one. 90+43= 133.

180-133=47.

The first equation will be x²-12x+27=(x-9)(x-3). The second equation will be x²-9x+20=(x-5)(x-4).

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

1. For the first equation to be complete, we need to expand the factors, therefore, we can write,

(x-9)(x-3)

= x² - 9x - 3x + 27

=x²-12x+27

Hence, the first equation will be x²-12x+27=(x-9)(x-3).

2. For the second equation to be complete, we need to factorise the left side of the equation, therefore, we can write,

x²-9x+2

= x²-5x-4x+20

= x(x-5)-4(x-5)

=(x-5)(x-4)

Hence, the second equation will be x²-9x+20=(x-5)(x-4).

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Answer:

Step-by-step explanation:

lern it yourself

Answer:

8.66

Step-by-step explanation:

15/sqrt(3) = 8.66 (to nearest hundreth)

The pyramid with a volume of 3240 unit³, base of 20 by 18 unit has a height of 27 unit

An equation is an expression that shows the relationship between two or more numbers and variables.

Volume of pyramid = (1/3) * area of base * height

Hence:

3240 = (1/3) * (20 * 18) * x

x = 27 units

The pyramid with a volume of 3240 unit³, base of 20 by 18 unit has a height of 27 unit

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The distance from the centre of the ground to the boundary based on the area given is 93.58 meters.

From the information given, the area of a round cricket oval is 27500 square meters. The information simply wants us to calculate the radius which will be calculated thus:

Area of a circle = πr²

πr² = 27500

(3.14) × r² = 27500

r² = 27500/3.14

r² = 8757.96

r = ✓8757.96

r = 93.58

Therefore, the distance from the centre of the ground to the boundary is 93.58 meters.

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Diameter = 30

30/2 = 15 15 is the radius

To find area:

3.14 x 15 x 15 = 706.5

706.5 is the answer

Answer: 5 hours

Step-by-step explanation:

[tex]speed=\frac{distance}{time}[/tex]

Andy speed = 7.5/3 = 2.5 mph

William speed = 15/4 = 3.75 mph

1. Write an equation that represents the question

let h = # of hours it takes William to catch up with andy

   2.5h + 6.25 = 3.75h

2. subtract 2.5h from both sides

   6.25 = 1.25h

3. Divide 1.25 from both sides

   [tex]\frac{1.25h}{1.25} =\frac{6.25}{1.25}[/tex]

   h = 5

Therefore, we know it will take 5 hours for William to catch up with andy.

It's really hard to see on the graph but the answer should be A. Germany won the fewest number of Olympic medals in the Summer Games of 2004.

If you read the other options, it doesn't make sense at all so through the process of elimination, A is the answer.

Answer:

A.Germany won the fewest number of Olympic medals in the Summer Games of 2004.

Step-by-step explanation:

because i took the quiz

If diagonals are drawn from point a to point c . The length of line segment eb is 65 units.

Since the diagonal of  parallelogram bisect one another, hence:

AE=CE

EB=DE=P+15

P-8=2P-58

P=50

Hence:

EB=P+15

EB=50+15

EB=65 units

Therefore the length of line segment eb is 65 units.

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Good afternoon, the

correct answer is 65 units

Answer:

Squares and triangles are both polygons and right triangles and squares both have at least one right angle. They are different because squares have 4 sides and triangles have 3. Also, triangle have a total of 180 degrees while squares have a total of 360 degrees.

Hope this helped you! I would appreciate a Brainliest if this helped! Have a good day!

Answer:

24 Questions answered correctly

Step-by-step explanation:

So as we know, 30/x = 100/80

100/80 = 1.25

Now we have 30/x = 1.25

Multiply both sides of the equation by x - (30/x)x = (1.25)x

Now we have 30 = 1.25x

Divide both sides by 1.25 - 30/1.25 = 1.25x/1.25

The circumference of the tire = pi x diameter = 3.14 x 1 = 3.14 meters

every rotation the tire travels 3.14 meters

3.14 x 8000 = 25120 meters

1 kilometer = 1000 meters

25,120 meters /100 = 25.12 kilometers

answer: 25.12 kilometers

Answer:

Step-by-step explanation:

Remark

The general formula is

Volume per fish = volume of water / number of fish

Givens

40 L  and 5 fish

100 L and 12 fish

180 L and 23 fish

Solution

Tank A = 40 L / 5 fish = 8 L / fish

Tank B = 100 L /12 fish = 8.3 L / fish

Tank C = 180 L / 23 fish = 7.83L / fish

Answer

From Least to greatest = C A B

Answer:

Length: 140 meters

width: 80 meters

Step-by-step explanation:

perimeter of a rectangle is 2*(lw)

440/(14+8)=20

Length: 20*7=140 meters

width: 20*4=80 meters

Answer:

1) First find the base, then one triangle face and multiply it by four

2) 360 units squared

Step-by-step explanation:

10*10 = 100

10*13 = 130

130*2 = 260

260 + 100 = 360

Answer:

Surface Area=360

Step-by-step explanation:

All the triangles of a square pyramid are congruent meaning you can find the area of 1 and multiply by to find the total surface area of all 4 triangles.

Area of a triangle formula= bh/2

Area of 1 triangle= 13*10/2=65

Multiply by 4 to find the total surface area of the triangles: 65*4=260

Then add the area of the square base.

Area of Square base=10*10=100

Add the total area of the triangles and square base: 260+100=360

The number of members is an illustration of proportions, and there are 200 members in the club

The given parameters are:

French = 20%

French = 40

Let the number of members be x.

So, we have:

20% * x= 40

Divide both sides by 20%

x = 200

Hence, there are 200 members in the club

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Answer:

4.25(Divided) or 1,300,000,000(subtracted)

Answer:

75 ft²

Step-by-step explanation:

Surface Area :

Given:

All sides are 5 feet in length.

To find:

The surface area of:

Step-By-Step-Solution:

Step 1

Find the surface area of the square (base)

Formula:

[tex]SA=L*W[/tex]

Find:

[tex]SA=5*5\\=25[/tex]

The surface area of the square (base) is 25ft²

Step 2

Find the surface area of the 4 triangles

We know that to find the surface area of 1 triangle, we do this:

[tex]SA=\frac{1}2} *B*H[/tex]

But to find the surface area of 4 triangle, we will have to do this:

[tex]SA=2*B*H[/tex]

Find:

[tex]SA=2*5*5\\=2*25\\=50[/tex]

The surface area of the 4 triangles in the sides are 50ft²

Step 3

Find the total surface area (by adding all SA's found before)

Just add! EASY!!!

25+50=75ft²