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ANTONII [103]
2 years ago
6

12x + 4y = 152 32x + 12y = 420 what is y?

Mathematics
1 answer:
vichka [17]2 years ago
7 0

Answer:

the value of x = 9  and y =11.

Given the system of equation:

12x + 4y =152                  .......[1]

32x + 12y = 420              ......[2]

Multiply equation [1] by 3 we get;

Using distributive property:  

            ......[3]

On solving equation [2] and [3] simultaneously we get;

x = 9

Substitute the value of x= 9 in [1] to solve for y;

108 + 4y = 152

Subtract 108 from both sides we have;

108 + 4y -108 = 152- 108

Simplify:

4y = 44

Divide both sides by 4 we get;

Simplify:

y= 11

therefore, the value of x = 9  and y =11.

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The relationship between antioxidant food consumption per day in cups and the BMI of an individual is modeled by the following l
Katena32 [7]
This is in gradient intercept form (or slope intercept form)
y = mx + b
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and the y intercept = 26
I'm not sure what intercept they're asking for.
if you wanted to find the x intercept, just substitute.
y = 0 and find x.
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wolverine [178]

Answer:

Step-by-step explanation:

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3 0
2 years ago
(0.020) (0.030) / (0.10)x = 2.3 × 10-4
Naya [18.7K]

The value of x in the equation is 26. 087

<h3>What are algebraic expressions?</h3>

Algebraic expressions are defined as expressions made up of terms, constants, coefficients, factors and variables.

They may also include certain mathematical or arithmetic operations which includes;

  • Bracket
  • Division
  • Addition
  • Subtraction
  • Parentheses
  • Multiplication and so on

Given the equation;

(0.020) (0.030) / (0.10)x = 2.3 × 10-4

We can simply the equation following the steps;

expand the brackets, we have;

6× 10^-4/ 0.10x = 2.3 × 10^-4

Now, cross multiply

0.10x × 2.3 × 10^-4 = 6× 10^-4

Divide both sides by 2.3 × 10^-4

0. 10x =  6× 10^-4/2.3 × 10^-4

Find the quotient

0. 10x = 2. 608

Let's make the variable 'x' by dividing both sides by it's coefficient

0. 10x/0.10 = 2. 608/0. 10

x = 26. 087

Hence, the value is 26. 087

Learn more about algebraic expressions here:

brainly.com/question/4344214

#SPJ1

4 0
1 year ago
Write an expression to represent: The sum of ten and the quotient of a number x and 6.
Minchanka [31]
Let us break it down. A sum of ten. That is just 

+10

Then, we will add that to the quotient (which is the number after dividing) of a number x and 6. We can write that as 

+ x/6

The slash means division here. Thus your final answer is 


10 + x/6
8 0
2 years ago
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