The campus cafeteria gives a 20% discount to students.If the group's dinner regulary cost $36 , how much would a group of students acutally pay for dinner?

Answer:

1) 37 degrees

2) 39 degrees

3) 27 degrees

4) 320 degrees

5) 136 degrees

Step-by-step explanation:

1) 81-44

2)98-59

3) a square is : 90-63

4) a full circle = 360-40

5) half a circle = 180-44

Answer:

$696.70

Step-by-step explanation:

The formula for the area of a circle is given as πr²

From the above question

π = 3.14

Diameter = 5 feet

Radius = Diameter/2 = 5 feet/2 = 2.5 feet

Hence,

The area of the circular table = 3.14 × 2.5²

= 19.625 ft² or 19.625 square foot

We are told that:

The wood costs $35.50 per square foot

Hence,

1 ft² = $35.50

19.625 ft² = x

Cross Multiply

x = 19.625 ft² × 35.50

x = $696.6875

Approximately = $696.70

Therefore, it will cost Rafael $696.70 to make the table.

let number be x

1/6x - 1/12x= 4

1/12x=4

cross multiply

x= 12 x 4

x= 48

If one-sixth of a certain number is four more than one-twelfth the number, the required number will be 48.

Let the unknown number be 'a'

One-sixth of the number is expressed as 1/6 a ..... 1

One-twelfth the number is also expressed as 1/12 a

Four more than one-twelfth the number will be written as:

1/12 a + 4 .... 2

Equating 1 and 2 will give:

1/6 a = 1/12 a + 4

a/6 = a/12 + 4

Collect the like terms

[tex]\frac{a}{6} - \frac{a}{12} = 4[/tex]

Find the LCM

[tex]\frac{2a-a}{12} = 4\\\frac{a}{12} = 4[/tex]

Cross multiply

a = 12×4

a = 48

This shows that the required number is 48

Learn more on equations here: https://brainly.com/question/14034270

Answer:

Polly's money is 30, Andy's is 60, and Phoebe's is 180.

Step-by-step explanation:

Given that

Phoebe andy and polly share 270

Phoebe gets 3 times as andy

And, andy gets twice as much as polly

let us assume the following things

B be Phoebe's money

A be Andy's money

L be Polly's money

Now following equations should be used

B + A + L  = 270  .........(1)  

B = 3A............(2)

A = 2L      .............(3)          

So,        

B = 3A

= 3 × (2L)

= 6L        

Now put the equation 2 and equation 3 in equation 1

So,

6L + 2L + L = 270

9L = 270

L = 30

A = 2L

= 2(30)

= 60

B = 3A

= 3(60)

= 180

Therefore, Polly's money is 30, Andy's is 60, and Phoebe's is 180.

Answer:

Step-by-step explanation:

Answer:

x=-1

Step-by-step explanation:

[tex] \frac{x ^{100} + 1 }{x + 1} [/tex]

[tex]x + 1 = 0[/tex]

[tex]x = - 1[/tex]

Answer:

hope this helps

Answer:

40

Step-by-step explanation:

Percentage Calculator: 126 is what percent of 315? = 40.

Answer:

40 %

Step-by-step explanation:

To get the percent you do:

126 divided by 315

= .4

Answer:

x=21.7

Step-by-step explanation:

cos ø=adjacent/hypotenuse

cos37°=17.3/hypotenuse

hypotenuse=17.3/cos 37°

hypotenuse=21.66

It would be 20 hours

Step-by-step explanation:

let me know if I am wrong thxs

Answer:

32+24 = 56

Step-by-step explanation:

Answer:

No. Remember, a right angle must have a 90 degree angle. We can find the lengths with the Pythagorean Theorem.

Step-by-step explanation:

Given the length 7, 10, and 12, we can assume that 12 is the hypotenuse (it is the longest length).

- we can use 7 and 10 interchangeably.

Fill in the equation, [tex]a^2 + b^2 = c^2[/tex]

                 where c = 12, and a or b = 7 or 10.

To indicate if the given lengths would form a right angle, we can only input 7 or 10, not both.

Therefore, [tex]7^2 + b^2 = 12^2[/tex] or [tex]10^2 + b^2 = 12^2[/tex]

[tex]7^2 + b^2 = 12^2[/tex] ==> 49 + b^2 = 144 ==> b= [tex]\sqrt{95[/tex] ==> 9.746

b= 9.7, not 10.

[tex]10^2 + b^2 = 12^2[/tex] ==> 100 + b^2 = 144 ==> b = [tex]\sqrt{44[/tex] ==> 6.633

b= 6.6, not 7.

Therefore, the lengths 7, 10, and 12, does NOT make a right triangle.

Hope this helps!

Answer:

[tex] {c}^{2} = {5}^{2} + {4}^{2} \\ {c}^{2} = 25 + 16 \\ {c}^{2} = 41 [/tex]

Answer:

32w + 24v - 48

Step-by-step explanation:

- 8(- 4w - 3v + 6) ← multiply each term in the parenthesis by - 8

= 32w + 24v - 48

Answer:

21 is 75% of 28

Step-by-step explanation:

75% = 0.75

28(0.75) = 21

Answer:

The right solution is "y(0) = 30 m" and "y'(0) = -6 m/s²".

Step-by-step explanation:

Given,

Velocity,

u = -6 m/s

Height,

h = 30 m

Now,

By using shifting of origin, we get

⇒  [tex](y-30)=-6t+\frac{1}{2}(-9.8)t^2[/tex]

       [tex]y-30=-6t-4.9t^2[/tex]

               [tex]y=30-6t-4.9t^2[/tex]

hence,

The value of y(0) is:

y(0) = [tex]30-0-0[/tex]

      = [tex]30 \ m[/tex]

The value of y'(0) is:

y'(t) = [tex]-6-9.8t[/tex]

y'(0) = [tex]-6 \ m/s^2[/tex]

Answer:

The rate of change is 25 and that means the cost per day is $25

Step-by-step explanation:

Since we have a constant rate of change, we can select any two points, apply the slope formula

The slope formula is;

m = (y2-y1)/(x2-x1)

(x1,y1) = (3,75)

(x2,y2) = (6,150)

m = (150-75)/(6-3) = 75/3 = 25

What the rate of change means here is that the cost per day is $25

Answer:

4.26 * 10^-12

Step-by-step explanation:

Usibg the binomial probability relation :

P(x =x) = nCx * p^x * q^(n-x)

Probability of success = probability of not eating = 1 - 0.72 = 0.28

p = 0.28

q = 1 - p = 0.72

Probability that atleast one out of 2 chosen did not eat breakfast :

P(x ≥ 1) = p(x = 1) + p(x = 2)

P(x ≥ 1) = (100C1 * 0.28^1 * 0.72^99) + (100C2 * 0.28^2 * 0.72^98)

= 4.26 * 10^-12

Answer:

74-16 square root 10

Step-by-step explanation:

area = (length)^2

= (8- square root 10)^2

= 64- 16 square root 10 + 10

=74-16 square root 10

The area of the square is  [tex]74-16\sqrt{10}[/tex] inches².

Area of square

Let x be the length of square

then area = x²

How to find the square area?

Given the side length of a square is [tex]8-\sqrt{10}[/tex]  inches.

then the area of the square is [tex](8-\sqrt{10} )^{2}[/tex]

therefore,

[tex](8-\sqrt{10} )^{2}= 8^2+(\sqrt{10})^2-2(8)(\sqrt{10})[/tex]

                 [tex]=64+10-16\sqrt{10}[/tex]

                 [tex]=74-16\sqrt{10}[/tex]

Hence the area is [tex]74-16\sqrt{10}[/tex]  inches².

Learn more about area of the square here- brainly.com/question/25092270

#SPJ2

Answer:

The answer is B.

Step-by-step explanation:

You simply just simplify the expression. When you do this you get x to the third, 2x squared, and 4x. I hope this helps!!

Answer:

B

Step-by-step explanation:

x*x*x=x^3 (x cubed)

x*x=x^2 (x squared)

We CAN'T add up x's here.

They're from different families.

So, B is correct:)

Answer:

-0.4

Step-by-step explanation:

Answer:

x=41

Step-by-step explanation:

so since this is a right triangle you can use the Pythagorean Theorem to find the missing side. the two sides you know are 'a' and 'b' and the missing side is 'c'. the theorem says that:

a^2+b^2=c^2

so:

9^2 +40^2=c^2

solve for the exponents:

81 +1600=c^2

1681=c^2

and now, since 1681 is the missing side's length squared, we must find the square root of 1681, which is 41

hope this helps :)

Answer:

She gave her stylist a 24 dollar tip.

;p

Answer:

13 and 32

Step-by-step explanation:

let one number be x

Then the other number is x + 19 , then

x + x + 19 = 45

2x + 19 = 45 ( subtract 19 from both sides )

2x = 26 ( divide both sides by 2 )

x = 13

The 2 numbers are 13 and 13 + 19 = 32

Answer:

B

Step-by-step explanation:

a=25

b=1/5

c=1

d=25

Answer:

Use a calculator

Step-by-step explanation:

Step-by-step explanation:

stay safe healthy and happy.

Answer:

B

Step-by-step explanation:

cause I said

Answer:

b

Step-by-step explanation:

Answer:

Your answer is B

Step-by-step explanation:

The rule for angles is that 115 and the angles right next to it, the ones that form the x, will equal 180. That means all you have to do is 115-180=65.

Another rule is that the interior angles of a triangle will be 180, so you add the angles we know in each triangle, 80+65+angle 1 = 180. If you do this correctly you should get angle 1 to be 35. Then you repeat on the opposite side except this time the angles are 85+65+angle 2 = 180. If you do this one correct you should get 30. Which makes your answer B.

Sorry if this is confusing the book will have better explanations than I can give.