The ratio of boys to girls in homeroom 2:3. If there are 8 boys, how many girls are there?

Based on the number of cubes and the number of groups, the cubes left afterwards are 2 cubes.

There are 7 groups and each will get an equal number of cubes from the 100 cubes.

The number each will get is:

= 100 / 7

= 14 cubes

The total remaining cubes is:

= Total number of cubes - Cubes to 7 groups

= 100 - ( 7 x 14)

= 2 cubes

In conclusion, 2 cubes will be left.

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An equation that represents the cost of a pizza will be C = 8 + 1.50x + 0.75y

• Fixed cost = $8
• Cost of additional inch = 1.50x
• Cost of additional topping = 0.75y

Total cost (C) will then be:

= 8 + (1.50 × x) + (0.75 × y)

C = 8 + 1.50x + 0.75y

Therefore, the equation to represent the cost is C =  8 + 1.50x + 0.75y

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Answer: , where 'x' denotes the number of additional inch to the pizza and 'y' denotes the number of additional toppings.

Step-by-step explanation:

Let 'x' denotes the number of additional inch to the pizza and 'y' denotes the number of additional toppings.

Given : A 10-inch cheese pizza costs  $8.

i.e. Fixed cost = $8

Each additional inch costs $1.50, and each additional topping costs $0.75.

∴ Cost of additional inch = $1.50 x

∴ Cost of additional topping = $0.75y

Then The Total cost of any pizza would be :

Total cost = Fixed cost + Cost of additional inch + cost of additional topping

= $8+ $1.50 x+$0.75y

⇒ Equation  that represents the cost of a pizza :

The solution to the equation 12(b+2) + 3b = -1 is b = -5/3.

What is the solution to the given equation?

Given the equation in the question:

12( b + 2 ) + 3b = -1

To solve the equation 12( b + 2 ) + 3b = -1, first apply the distributive property.

Distribute the 12 across the terms inside the parentheses:

12( b + 2 ) + 3b = -1

12×b + 12×2 + 3b = -1

Simplifying, we get:

12b + 24 + 3b = -1

Collect and combine the like terms on the left side of the equation:

12b + 3b + 24 = -1

15b + 24 = -1

Subtract 24 from both sides of the equation:

15b + 24 - 24 = -1 - 24

15b = -1 - 24

15b = -25

Divide both sides by 15:

b = -25/15

Simplify

b = -5/3

Therefore, the value of b is -5/3.

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Answer: -5/3

Step-by-step explanation:

12(b + 2) + 3b = -1

12b + 24 + 3b = -1

15b + 24 = -1

15b = -1-24

b = -25/15 = -5/3