To help plan the number of meals to be prepared in a college cafeteria, a survey was conducted, and the following data were obtained.
132 students ate breakfast.
183 students ate lunch.
273 students ate dinner.
69 students ate breakfast and lunch.
113 students ate breakfast and dinner.
95 students ate lunch and dinner.
55 students ate all three meals.
How many students ate
(a) At least one meal in the cafeteria?
students

(b) Exactly one meal in the cafeteria?
students

(c) Only dinner in the cafeteria?
students

(d) Exactly two meals in the cafeteria?
students

Answer:

729

Step-by-step explanation:

Answer:

$15.02

Step-by-step explanation:

Given data

Total cost= $16

tax= 6.5%

let the actual cost of the slippers be x

6.5/100*x+ x= 16

0.065x+x= 16

1.065x= 16

divide both sides by 1.065

x= 16/1.065

x= 15.02

Hence the actual cost of the slippers is $15.02

Answer:

220.00

-185.00

= 35.00 the difference of what was paid at the same prices.

Answer:

8,20,32

Step-by-step explanation:

8

20

32

You would do 2 x 4 and so on

Answer:

8,20,32

Step-by-step explanation:

multiply 4 times each number in the x section

Answer:

3

Step-by-step explanation:

√7a-10 - √2a+5=0

√7a-10 = √2a+5

7a-10 = 2a+5

5a = 15

a = 3

Answer:

432

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

8x² + 5x + 5

x = 7

Step 2: Evaluate

Answer:

24

Step-by-step explanation:

Let x = the 10's digit

Let y = the units

then

10x+y = "a number"

:

A number is 4 times the sum of its digits.

10x + y = 4(x + y)

10x + y = 4x + 4y

10x - 4x = 4y - y

6x = 3y

Simply, divide by 3

2x = y

;

The units digit is two more than the tens digit.

y = x + 2

Replace y with 2x

2x = x + 2

2x - x = 2

x = 2

then

y = 4

:

24 is the number

The two digit number is equivalent to 24.

Given is that a number is 4 times the sum of its digits. The units digit is two more than the tens digit.

Let the number be {A}. Then, we can write -

A = 10x + y                             ......... (1)

also

A = 4(x + y)                            ........... (2)

The units digit is two more than the tens digit, so we can write -

y = x + 2                               .............. (3)

So, we can write -

10x + y = 4(x + y)

10x + (x + 2) = 4(x + x + 2)

11x + 2 = 8x + 8

3x = 6

x = 2

So, we can write {y} as -

y = 4

Number will be -

10 x 2 + 4

n = 24

Therefore, the number will be equivalent to 24.

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Answer:

A

Step-by-step explanation:

because an equation has to have a = in it and A is the only one with two answers with =

the answer is on the pictures

sorry if their wrong

x=1/2 (or 1)

y=3/4

Answer:

6. >

7. <

8. <

9. <

10. <

all the positive integers are valued greater than the negative integers and 0 is not a integer so the positive one will be greater in all the cases

Answer:

i = 2

Step-by-step explanation:

-8(i - 6) = 32

-8i + 48 = 32

-8i = -16

i = 2

Answer:

7/5

Step-by-step explanation:

140 by 100

cutting methord

cut the zeros, then divide by 2.

Answer:

to convert an improper fraction to a mixed fraction, follow these steps:

-divide the numerator by the denominator.

-write down the whole number answer.

-then write down any remainder above the denominator.

Step-by-step explanation:

Answer:

Divide the numerator by the denominator. The quotient is the whole number, and the remainder is the other fraction.

Example: 46/17

46/17= 2 r 12

2 is the whole number, and 12/17 is the fraction next to it.

Answer:

5.7

Step-by-step explanation:

Im not so sure if this is the correct answer but i hope if helps! <3

Answer:

1. Construct the perpendicular bisector of one side of triangle.

2. Construct the perpendicular bisector of another side.

3. Where they cross is the center of the Circumscribed circle.

4. Place compass on the center point, adjust its length to reach any corner of the triangle, and draw your Circumscribed circle!

There are four steps for constructing a circle that is circumscribed about a triangle.

A triangle is a three-sided polygon with three angles. The total of the triangle's angles is 180 degrees.

The steps for constructing a circle that is circumscribed about a triangle are as follows;

1. Draw the perpendicular bisector of one of the triangle's sides.

2. Create another side's perpendicular bisector.

3. The intersection is the circumscribed circle's center.

4. Place the compass on the center point, change the length of the compass to reach any corner of the triangle, and draw your circumscribed circle.

Hence, the above steps help to construct a circle that is circumscribed about a triangle.

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The solution is Option C.

The number of ways 3 positions can be filled by the 12 students is given by combinations where ¹²C₃ = ( 12 x 11 x 10 ) / 3 x 2 x 1

What are Combinations?

The number of ways of selecting r objects from n unlike objects is:

ⁿCₓ = n! / ( ( n - x )! x! )

where

n = total number of objects

x = number of choosing objects from the set

Given data ,

Let the equation be represented as A

Now , the value of A is

The total number of students n = 12 students

The number of positions in the council x = 3 positions

So , the number of ways the 3 positions can be filled by 12 students is calculated by combinations

where n = 12 and x = 3

ⁿCₓ = n! / ( ( n - x )! x! )

Substituting the values in the equation , we get

¹²C₃ = ( 12! / ( 12 - 3 )! 3! )

On simplifying the equation , we get

¹²C₃ = ( 12! / 9! 3! )

And ,

¹²C₃ = ( 12 x 11 x 10 x 9! / 9! 3! )

¹²C₃ = ( 12 x 11 x 10 ) / 3!

¹²C₃ = ( 12 x 11 x 10 / 3 x 2 x 1 )

¹²C₃ = 220 ways

Hence , the number of ways the 3 positions can be filled by the 12 students is 220 ways

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Answer: 1/15

Step-by-step explanation:

An hour is 60 minutes.  Thus, simply do 60/4 to get 15, and that the fraction is 1/15.

Hope it helps <3 :)

Answer:

1/15

Step-by-step explanation:

1 hour = 60 minutes

[tex]\frac{4}{60}=\frac{1}{15}[/tex]

Answer:

4.33 i think im not to sure

Step-by-step explanation:

math

Answer:

hexagon, regular polygon

Responder:

300 €

Explicación paso a paso:

Dado que:

El peso del paquete de 5 kg enviado a una distancia de 60 km es de 9 €

Tomando el producto:

5 * 60 = 9 €

300 kgkm = 9 €

1 kg · km = 9/300 €

= 0,03 €

Para un paquete de 50 kg, enviado a una distancia de 200 km:

50 * 200 = 10000 kgkm

Costo de envío de paquete:

Precio por kgkm = 0,03 €

10000 * 0,03 € = 300 €

[tex]0.3\cdot0.3\cdot0.3=0.0027[/tex]

Hope this helps.

Answer:

3.6

Step-by-step explanation:

each piece weighs 3.6 ounces

Answer:

3.6

Step-by-step explanation:

28.8/w=8

8w=28.8

w=28.8/8

w=3.6

The solution for the system of equations is (1, 4).

The graph is given below.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

Two equations:

y = 3x + 1

y = -x + 5

The point of intersection.

3x + 1 = -x + 5

3x + x = 5 - 1

4x = 4

x = 1

And,

y = 3x + 1 = 3 + 1 = 4

or

y = -x + 5 = -1 + 5 = 4

Now,

The graph is given below.

Thus,

The solution is (1, 4).

The graph is given below.

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For question 1 and 2, you should keep in mind that the sum of all angles in a triangle is 180°. 1. If the measure of one angle of a triangle is 90 degrees, you can assume that the sum of the other two triangles should be 90 degrees. Because

180 - 90 = 90

The sum of the three angles of any triangle is equal to 180 degrees.

Angle 2=127 because 180-53=127.

Angle 3=23 because 180-30-127=53

Angle 1=37 because 90-53=37

Angle 4=90

Angle 1+4=127

The measure of ∠1 is 125° .

Next x+64=110. The reason why you can do this is because ∠R is going to be an opposite interior angle. Subtract 64 from the left and right sides. x=46

Answer:

AP EX

Step-by-step explanation: