2865 students participated in a competitive exam. There were 60 rooms in the
university. Equal number of students were placed in each room. How many students
were not seated in any one of the rooms?

Answer:

36 minutes

Step-by-step explanation:

360/10=36 (percent is division of the number)

Point-slope formula: y-y1=m(x-x1)

To fill it in, m is our slope, 1/4. y1 is -8 and x1 is -1.

y+8= 1/4(x+1) This is the formula filled in. If you noticed, the (-) signs that were in the formula changed to (+). This is because (- -) can be changed into (+).

y+8=1/4x+0.25

y=1/4x+8.25

Your answer is y=1/4x+8.25

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Answer:

The inside of the pentagon and the angle outside the pentagon can add up the the angle of 180 degrees.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Exterior angles of any polygon sum to 360°

We have:

9514 1404 393

Answer:

  x = 6

Step-by-step explanation:

If we assume that ray VA is between VW and VU, then we have ...

  ∠WVA + ∠AVU = ∠WVU

  106° +(4x +4)° = (21x +8)°

  102 = 17x . . . . . . . . . . . . . subtract 4x+8

  6 = x . . . . . . . . . . divide by 17

Answer:

By rounding each number to the nearst whole number, estimate the solution:

2.7²X4.3=31.347

8.8-5.15=3.65

for this 31 and 4 if you want to round

Step-by-step explanation:

Answer:

?????????

Step-by-step explanation:

Answer:

√6: 2.44

Step-by-step explanation:

first one since it's closer to the square root of 6

Answer:

4:10 PM

Step-by-step explanation:

15 minutes can be slit into 5 minutes and 10 minutes

There are 60 minutes in an hour!

3:55 + 0:05 = 4:00

4:00 + 0:10 = 4:10

Answer:

4.10am

Step-by-step explanation:

3.55+15=3.70

There are 60 mins in an hour so take away 60 mins from 70 mins which is 10 mins.

Then you add one to 3 because 60 mins makes one hour which will give you 4

=4.10am

Hope it helps you

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Answer:

I think it's 10 gallons less than Evan

Answer:(-1/2^x)(50000)

Step-by-step explanation:

Answer:

1.414

Step-by-step explanation:

Given:

The graph of a function.

To find:

The range of the function.

Solution:

Range is the set of y-values or output values.

From the given graph it is clear that,

[tex]f(x)\to -\infty\text{ as }x\to -\infty[/tex]

[tex]f(x)\to \infty\text{ as }x\to \infty[/tex]

And the value function can be any real number. So,

Range = [tex]-\infty<y<\infty[/tex]

Range = [tex](-\infty, \infty)[/tex]

Range = y is all real numbers.​

Therefore, the correct option is D.

Answer:

D. y is all real numbers.​

Step-by-step explanation:

Range is the set of y-values or output values.

From the given graph it is clear that,

And the value function can be any real number. So,

Range =

Range =

Range = y is all real numbers.​

Therefore, the correct option is D.

It is 3 cause they are all the same leatheth so 3

Answer:

no its 2

Step-by-step explanation:

because 21+3=7. and 14+7=2. so it's 2

Answer:

The one is the y intercept so you would place it at (0,1) and then sense the slope is 2/1 you would either go back one and down two or go up two and over one

Step-by-step explanation:

Answer:

10,000

Step-by-step explanation:

2500 + 3500 + 4500 = 10,000

Answer:

18

Step-by-step explanation:

Answer:

243

Step-by-step explanation:

3*3*3*3*3

Step-by-step explanation:

first: if we add 3x+7 and 4x+5, it will total a 180 degree angle. This will allow us to solve for x.

3x+7+4x+5=180

7x+12=180

7x=180-12

7x=168

x=24

now we can also see that angle 6 is the same as the angle 3x+7.  and Since we know x=24, we can solve for those angles.

3(24)+7:

72+7=79

So :

<6 =79°

Answer: answer is 8 because -5 + 1 = -4 then + 10 = 4

Answer:

see photos

Step-by-step explanation:

Plato/Edmentum

Answer:

Salome is 29 inches tall.

Step-by-step explanation:

Each feet has 12 inches.

Salome:

Salome is 2 feet 5 inches tall.

Since each has 12 inches, 2 feet = 2*12 = 24 inches

24 + 5 = 29 inches.

So Salome is 29 inches tall.

Answer:

x=-7

Step-by-step explanation:

[tex]x = 21 \div - 3 \\ x = - 7[/tex]

Answer: -7

Step-by-step explanation:

Move all terms that don't contain

x

x

to the right side and solve

Answer:

Below

Step-by-step explanation:

1. Linear because it is of the form y = mx + b. The variable x  is of the first degree.

The coefficient of x (1/3)  ( = slope) is positive so it is increasing.

2. This is non-linear because the variable x is an exponent.

3. Because  its of the second degree (x^2) - it is non-linear.

Answer:

x=10

Step-by-step explanation:

right angle is always 90

we can add 4+6=10

90-10=80

3*x+5*x=8*x

8*x=80

divide both sides by eight

x=10

Answer:

x ≈ 2.4

Step-by-step explanation:

Area of the triangle = 1/2 absin theta

Find the diagram of the triangle attached

a = 2x-3

b =x+2

theta = 45°

Substitute and find x

4√2 = 1/2(2x-3)(x+2)sin45

8/√2 = (2x-3)(x+2)(1/√2)

8 = (2x-3)(x+2)

Expand

8 = 2x²+4x-3x-6

2x²+x-6-8=0

2x²+x-14 = 0

x = -1±√1²-4(14)(2)/2(2)

x = -1±√1+112/4

x = -1±√113/4

x = -1+10.63/4

x = 9.63/4

x = 2.4

The value of x is 3.075.

Given that,

The area of the triangle is [tex]4\sqrt{2}[/tex] square meter,

and [tex]\theta[/tex] is 45 degrees.

The one side of the triangle is (2x-3) and the other side of the triangle is (x+2).

We have to determine

The value of x.

According to the question

The area of the triangle is determined by the following formula,

[tex]\rm Area \ of \ triangle = \dfrac{1}{2} sin\theta[/tex]

Substitute all the values in the formula

[tex]\rm Area \ of \ triangle = \dfrac{1}{2} absin\theta\\\\4\sqrt{2} = \dfrac{1}{2} (2x-3)(x+2) sin45\\\\2\times4\sqrt{2} = (2x^2+4x-3x-6)\dfrac{1}{\sqrt{2} }\\\\\sqrt{2} \times8\sqrt{2} = (2x^2+x-6)\\\\8\times2 = (2x^2+x-6)\\\\16 = 2x^2+x-6\\\\2x^2+x-6-16=0\\\\2x^2+x-22=0\\\\x = \dfrac{-b\pm\sqrt{b^2-4ac} }{2a}\\\\x = \dfrac{-1\pm\sqrt{(-1)^2-4\times2\times(-22)} }{2\times2}\\\\x = \dfrac{-1\pm \sqrt{177} }{4}\\\\x = \dfrac{-`1\pm13.30 }{4}\\\\[/tex]

[tex]\rm x = \dfrac{-1+13.30}{4} \ and \ x = \dfrac{-1-13.30}{4} \\\\x = \dfrac{12.30}{4} \ and \ x= \dfrac{-14.30}{4}\\\\x = 3.075 \ and \ x = -3.575[/tex]

The value of x can not be negative so the value of x is 3.075.

Hence, The required value of x is 3.075.

For more details refer to the link given below.

https://brainly.com/question/15894203

Answer:

54 inches

Step-by-step explanation:

let 4x = the bigger piece

let x = the smaller one

4x + x = 270

5x = 270

x = 54

Answer:

54 inches

Step-by-step explanation:

x + 4x = 270

5x = 270

x = 54 (shorter piece)

4x = 216 (longer piece)

Answer:1/4

Step-by-step explanation:

2/8 = 1/4

2/8 over 2 is 1/4

Answer and explanation:

1. 15 girls to 6 boys = 15:6

15/6= 5/2

2. 24 players to 3 teams = 24:3

24/3= 8/1=8

3. 48 worksheets to 12 students =48:12

48/12= 4/1

4. 4/7 and 24/35 are not proportional as they do not reduce to same ratio

5. 11/12 and 33/36 are proportional because they reduce to same same ratio(33/36=11/12)

6. 8/24 and 5/15 are proportional beacaue they reduce to same ratio(8/24=5/15=1/3)

7. 3/7 and 12/21 are not proportional because they do not reduce to same ratio(3/7≠12/21)

8. 25 cars in 5 days= 25/5= 5 cars each day. 60 cars in 12 days = 60/12=5 cars each day. Therefore they are proportional.

9. 14 books in 2 boxes= 7 books per box. 20 books in 3 boxes = 20/3= 6.667. Therefore they are not proportional.

10. 12 laps in 30 minutes =12/30=2/5

15 laps in 45 minutes =15/45=1/3. Therefore they are not proportional.

Answer:

113

Step-by-step explanation:

divide the volume with the length

Answer:

h(x)=6x-26

Step-by-step explanation:

f(x)=5x-10

g(x)=x-16

h(x)=f(x)+g(x)=(5x-10)+(x-16) = 6x-26