Four teachers share 3 gallons of paint equally. How much paint does each teacher get

Answers

Answer 1
Answer:

The amount of paint shared by each teacher is 0.75 gallons

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that four teachers share 3 gallons of paint equally. The amount of paint shared by each teacher is calculated by dividing the quantity of paint by the number of teachers.,

Amount of paint = 3 / 4

Amount of paint = 0.75 gallons

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Answer 2
Answer: 3 gallons/ 4 teachers= 3/4 gallons/teacher.

3/4
= (3*25) / (4*25)
= 75/100
= 0.75

Each teacher gets 0.75 gallons of paint.

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Sam took his family to the zoo. An adult's ticket is two times the cost of a child's ticket. The total cost for two adults' tickets and three children's tickets was $28. How much do the tickets cost?

Answers

Hello,

Let x the cost of a child's ticket
2x is the cost of an adult's ticket

2*(2x)+3x=28
==>4x+3x=28
==>7x=28
==>x=4

2x=2*4=8

Proof:
2 adult's tickets: 2*8=16
3 child's tickets: 3*4=12
and 16+12=28.

Adult's ticket cost is 8
Child's ticket cost is 4

C=children's ticket. 2c=adult ticket. 2c+2c+c+c+c=$28. Add the c's: 4c+3c=$28. Keep adding/ 7c=$28. Divide by 7: c=$4. A children's ticket is $4 an adult ticket is $8 :)

In an orchestra the ratio of trombones to violas is 1 to 3.a. There are 9 violas. write a proportion that gives the number t of trombones in the orchestra.
b. How many trombones are in the orchestra? Please help, I'm in 8th grade! (:Thank youu..

Answers

Answer:

Givens

  • The ratio of trombones to violas is 1 to 3, that is, for every trombone there are 3 violas. (t)/(v)=(1)/(3)

So, if there are 9 violas, the number of trombones is three, because 9 violas represents a triple proportion, which means we need to multiply by 3 to find the number of trombones according to the given proportion.

(t)/(9)=(1)/(3)\nt=(9)/(3)\n t=3

The expression that gives the number of trombones is

(t)/(9)=(1)/(3)

The number of trombones is 3, there are 3 trombones while there are 9 violas.

The proportion would be 1/3 and x/9. Cross multiplication creates 3x=9. Divide both sided by three, and there are 3 trombones in the orchestra.

Steve can run 1 2/9 miles in 10 minutes. How many miles can he run in 30 minutes?

Answers

Answer:

3 2/3

Step-by-step explanation:

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you can type 250 characters in 60 seconds your friend can type 375 characters in 90 seconds do these ratios form a proportion

Answers

Answer:

see the explanation below

Step-by-step explanation:

you can type 250 characters in 60 seconds your friend can type 375 characters in 90 seconds do these ratios form a proportion

Given data

you can type 250 characters in 60 seconds

your typing speed = 250/60

= 4.16 characters per seconds

your friend can type 375 characters in 90 seconds

your friends typing speed is

= 375/90

= 4.16 characters per seconds

Since both typing speeds corresponds, hence the ratios are proportional

The length of a rectangle is 2x – 3 feet, and the width is 5 feet. What is the area of the rectangle in square feet?A. 7x – 15
B. 10x – 15
C. 10x – 8
D. 7x – 8

Answers

The area of a rectangle is the product of its length and its width. It is expressed as:

Area = l x w

We use this equation, to solve this problem.

Area = l x w
Area = (2x – 3) x 5
Area = 10x - 15

Therefore, the correct answer is option B.
5(2x - 3)

5 * 2x = 10x
5 * -3 = - 15

10x - 15


6x+1/2xy=3 please help im confused

Answers

hey there,

y = 90 + -45x + -10x2 + 5x3

-6x + -3x = -9x y = 5(18 + -9x + 1x2 + -3x2 + x3) (-2 + x) * (3 + x) y = 5(-2(3 + x) + x(3 + x))(-3 + x) y = 5((3 * -2 + x * -2) + x(3 + x))(-3 + x) y = 5((-6 + -2x) + x(3 + x))(-3 + x) y = 5(-6 + -2x + (3 * x + x * x))(-3 + x) y = 5(-6 + -2x + (3x + x2))(-3 + x)

y = 90 + -45x + -10x2 + 5x3=
                           10        15

115+-45=70

X=70


6x+ (1/2x)(y)=3

Step 1: Factor out variable x.
x (y+12/2)=3

Step 2: Divide both sides by (y+12/2.

x(y+12/2)         3
------------- = ---------
   y+12          y+12
-----------      ----------
      2                2

Then your answer would be            6
                                              x=  ---------
                                                      y+12