Charlie solved an equation, as shown below:Step 1: 5x = 30

Step 2: x = 30 - 5

Step 3: x = 25

Part B: How many solutions will this equation have?

Answer:

Option 3rd is correct

Step-by-step explanation:

Given the expression:

Multiply the first term of the first expression with second expression and second term of the first expression with second expression we have;

using distributive property we have;

Combine like terms we have;

therefore,  the correct simplification of the given expression is,

The equation that represents Jacob's age is  x = y + z + 2

From the question, the following information was provided :

Jacob's age is two years more than the sum of the ages of his siblings Becky and Micah.

This above information can be represented with the equation below

Jacob = 2 + ( Becky + Micah) (equation 1)

If :

x represents Jacob's age

y represents Micah's age

z represents Becky's age

Equation 1, can be rewritten as x = y + z + 2

Micah's age can be determined by making Micah the subject of the formula in the above equation

Micah = Jacob - Becky - 2   (equation 2)

If :

x represents Micah's age

y represents Becky's age

z represents Jacob's age

Micah's age can be rewritten as :

x = z - y - 2

Becky's age  age can be determined by making Becky the subject of the formula in the first equation.

Becky = Jacob - Micah - 2 (equation 3)

If:

x represents Becky's age

y represents Jacob's age

z represents Micah's age

Equation 3 can be rewritten as :

x = y - z - 2

Check here for a related question : brainly.com/question/21843246?referrer=searchResults

Using a system of equations, it is found that the correct equation is given by:

, which is option B.

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• Jacob's age is given by x.
• Becky's age is given by y.
• Micah's age is given by z.

• Considering that Jacob's is 2 years older than Becky's and Micah's combined, which is of y + z, his age is represented by the following equation:

Which is given by option B.

A similar problem is given at brainly.com/question/24233433

Answer:

A.

Step-by-step explanation:

The answer is A.

Answer:

Step-by-step explanation:

(1 + 3)/(3-1) = 4/2 = 2

y - 1 = 2(x - 3)

y - 1 = 2x - 6

y = 2x - 5

Answer:

They should use 1.2 gallons of yellow paint.

Step-by-step explanation:

Given:

Julia and Rasheed are mixing yellow paint and blue paint to make green paint.

The mixture needs to be 60% blue paint and 40% yellow paint.

They need to make 3 gallons of the green paint.

Now, to find the quantity of yellow paint they should use.

As,

60% + 40% = 100%

So, we get the ratio of blue paint to yellow paint:

=

=

=

Thus, the ratio of blue paint : yellow paint is 3:2.

They need to make total 3 gallons of green paint.

Now, to get the quantity of yellow paint:

Therefore, they should use 1.2 gallons of yellow paint.