Solved on Feb 23, 2024

Mateo ate 3/8 of a pizza with 510 calories. Which equation can be used to find the total calories in the pizza? $\frac{3}{8} x=510$

STEP 1

Assumptions
1. Mateo ate $\frac{3}{8}$ of a pizza.
2. The amount of pizza Mateo ate corresponds to 510 calories.
3. We need to find the total number of calories in the entire pizza.
4. The variable $x$ will represent the total number of calories in the entire pizza.

STEP 2

We need to set up an equation that represents the relationship between the fraction of the pizza Mateo ate and the number of calories that fraction contained.
$\frac{Fraction\, of\, pizza\, Mateo\, ate}{Total\, pizza} = \frac{Calories\, from\, fraction\, Mateo\, ate}{Total\, calories\, in\, pizza}$

STEP 3

Since Mateo ate $\frac{3}{8}$ of the pizza, and this portion is equivalent to 510 calories, we can express this relationship as:
$\frac{3}{8} = \frac{510\, calories}{Total\, calories\, in\, pizza}$

STEP 4

Let $x$ represent the total number of calories in the entire pizza. We can rewrite the equation from STEP_3 as:
$\frac{3}{8} = \frac{510}{x}$

STEP 5

To solve for $x$ , we need to find the equation that allows us to isolate $x$ on one side. We can multiply both sides of the equation by $x$ to get:
$x \cdot \frac{3}{8} = 510$

STEP 6

Now, we can divide both sides of the equation by $\frac{3}{8}$ to solve for $x$ . However, this step is not necessary to identify the correct equation from the given options. The equation from STEP_5 is already in the correct form to match one of the options.

STEP 7

Comparing the equation from STEP_5 with the given options, we see that the correct equation to determine the total number of calories in the entire pizza is:
$\frac{3}{8} x = 510$
This matches the first option.
The correct equation is $\frac{3}{8} x = 510$ .

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Mateo ate 3/8 of a pizza with 510 calories. Which equation can be used to find the total calories in the pizza? $\frac{3}{8} x=510$

STEP 1

Assumptions
1. Mateo ate $\frac{3}{8}$ of a pizza.
2. The amount of pizza Mateo ate corresponds to 510 calories.
3. We need to find the total number of calories in the entire pizza.
4. The variable $x$ will represent the total number of calories in the entire pizza.

STEP 2

We need to set up an equation that represents the relationship between the fraction of the pizza Mateo ate and the number of calories that fraction contained.
$\frac{Fraction\, of\, pizza\, Mateo\, ate}{Total\, pizza} = \frac{Calories\, from\, fraction\, Mateo\, ate}{Total\, calories\, in\, pizza}$

STEP 3

Since Mateo ate $\frac{3}{8}$ of the pizza, and this portion is equivalent to 510 calories, we can express this relationship as:
$\frac{3}{8} = \frac{510\, calories}{Total\, calories\, in\, pizza}$

STEP 4

Let $x$ represent the total number of calories in the entire pizza. We can rewrite the equation from STEP_3 as:
$\frac{3}{8} = \frac{510}{x}$

STEP 5

To solve for $x$ , we need to find the equation that allows us to isolate $x$ on one side. We can multiply both sides of the equation by $x$ to get:
$x \cdot \frac{3}{8} = 510$

STEP 6

Now, we can divide both sides of the equation by $\frac{3}{8}$ to solve for $x$ . However, this step is not necessary to identify the correct equation from the given options. The equation from STEP_5 is already in the correct form to match one of the options.

STEP 7

Comparing the equation from STEP_5 with the given options, we see that the correct equation to determine the total number of calories in the entire pizza is:
$\frac{3}{8} x = 510$
This matches the first option.
The correct equation is $\frac{3}{8} x = 510$ .

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Mateo ate 3/8 of a pizza with 510 calories. Which equation can be used to find the total calories in the pizza? 38x=510\frac{3}{8} x=51083​x=510

STEP 1

Assumptions1. Mateo ate 38\frac{3}{8}83​ of a pizza.2. The amount of pizza Mateo ate corresponds to 510 calories.3. We need to find the total number of calories in the entire pizza.4. The variable xxx will represent the total number of calories in the entire pizza.

STEP 2

STEP 3

Since Mateo ate 38\frac{3}{8}83​ of the pizza, and this portion is equivalent to 510 calories, we can express this relationship as:38=510 caloriesTotal calories in pizza\frac{3}{8} = \frac{510\, calories}{Total\, calories\, in\, pizza}83​=Totalcaloriesinpizza510calories​

STEP 4

Let xxx represent the total number of calories in the entire pizza. We can rewrite the equation from STEP_3 as:38=510x\frac{3}{8} = \frac{510}{x}83​=x510​

STEP 5

To solve for xxx, we need to find the equation that allows us to isolate xxx on one side. We can multiply both sides of the equation by xxx to get:x⋅38=510x \cdot \frac{3}{8} = 510x⋅83​=510

STEP 6

Now, we can divide both sides of the equation by 38\frac{3}{8}83​ to solve for xxx. However, this step is not necessary to identify the correct equation from the given options. The equation from STEP_5 is already in the correct form to match one of the options.

STEP 7

Comparing the equation from STEP_5 with the given options, we see that the correct equation to determine the total number of calories in the entire pizza is:38x=510\frac{3}{8} x = 51083​x=510This matches the first option.The correct equation is 38x=510\frac{3}{8} x = 51083​x=510.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Mateo ate 3/8 of a pizza with 510 calories. Which equation can be used to find the total calories in the pizza? $\frac{3}{8} x=510$

Assumptions
1. Mateo ate $\frac{3}{8}$ of a pizza.
2. The amount of pizza Mateo ate corresponds to 510 calories.
3. We need to find the total number of calories in the entire pizza.
4. The variable $x$ will represent the total number of calories in the entire pizza.

Since Mateo ate $\frac{3}{8}$ of the pizza, and this portion is equivalent to 510 calories, we can express this relationship as:
$\frac{3}{8} = \frac{510\, calories}{Total\, calories\, in\, pizza}$

Let $x$ represent the total number of calories in the entire pizza. We can rewrite the equation from STEP_3 as:
$\frac{3}{8} = \frac{510}{x}$

To solve for $x$ , we need to find the equation that allows us to isolate $x$ on one side. We can multiply both sides of the equation by $x$ to get:
$x \cdot \frac{3}{8} = 510$

Now, we can divide both sides of the equation by $\frac{3}{8}$ to solve for $x$ . However, this step is not necessary to identify the correct equation from the given options. The equation from STEP_5 is already in the correct form to match one of the options.

Comparing the equation from STEP_5 with the given options, we see that the correct equation to determine the total number of calories in the entire pizza is:
$\frac{3}{8} x = 510$
This matches the first option.
The correct equation is $\frac{3}{8} x = 510$ .