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Assoli18 [71]
3 years ago
15

tom distributed chocolates among his friends kevin and alex in ratio 2:1 if he had 12 chocolates how many did kevin get?

Mathematics
1 answer:
Alinara [238K]3 years ago
7 0

Kevin:

\frac{2}{2+1}\cdot12=\frac{2}{3}\cdot12=8

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Juan's car used 12 gallons of gasoline to travel 456 miles. How many miles do I travel for each gallon of gasoline?
Brums [2.3K]

Answer:

38 miles per gallon

Step-by-step explanation:

465 miles / 12 gallons

38 miles / gallon

3 0
3 years ago
Elimination method<br> 4x-2y=48<br> 2x+6y=-18
yulyashka [42]
4x-2y=48\\ \\ 2x+6y=-18

First we'll multiply the second equation by -2


-2\cdot (2x+6y)=-2\cdot -18\\ \\ -4x-12y=36

Now let's add the new equation and the first one.

(4x-2y)+(-4x-12y)=48+36\\ \\ 4x-4x-2y-12y=48+36\\ \\ -14y=84\\ \\ y=\frac { 84 }{ -14 } \\ \\ y=-6

We found y's value. We'll plug it in one of the equations to find x's value.

y=-6\\ \\ 4x-2y=48\\ \\ 4x-2\cdot -6=48\\ \\ 4x+12=48\\ \\ 4x=48-12\\ \\ 4x=36\\ \\ x=\frac { 36 }{ 4 } \\ \\ x=9

Solution ;

(9, -6)


4 0
3 years ago
Read 2 more answers
A shop sells pairs of trainers for £52 each. They make a percentage profit of 30% on each pair. What was the cost of each pair o
Sphinxa [80]

Answer:

£15.6

Step-by-step explanation:

Method 1:

You are trying to find 30% of £52.

Therefore:

\frac{30}{100}  * 52 = \frac{30 * 52}{100}

If you solve this you will find that 30 × 52 = 1560, and 1560 ÷ 100 = £15.6.

So, the answer is £15.6.

Method 2:

You can solve 30% of £52 by using an algebra equation.

By using the rule that to convert a percentage to a decimal you divide by 100, you can change 30% to be 0.3.

Now, in order to write the equation, you will have to include 0.3 and 52.

The equation is:

0.3 * 52 = x

Once you multiply, you will find that the answer is £15.6.

I hope I helped!

3 0
3 years ago
Identify the type of transformation given the rule N(x,y) = (-x,y)
denis23 [38]

Hello!

If the domain of the function is negative, the translation occurring has to be a reflection over the x-axis or y-axis.

Since the translation is affecting the x-values, it has to be a reflection over the y-axis. Similarly, if the translation affects the y-values, it translates over the x-axis.  

Therefore, the type of transformation given by the rule is a reflection over the y-axis.

5 0
3 years ago
3x = 2y. Is this equation a linear or non-linear relation? How do you know?
viktelen [127]

Answer:

  • linear equation
  • all variables are to the first power

Step-by-step explanation:

"Linear equation" is another way to say "first-degree equation." That is, the equation involves constants and variables to the first degree only. No term contains any product or ratio of variables.

A term is first degree when the sum of all of the exponents of the variables is 1, and all exponents are positive integers. That is, the only allowed exponent of the single variable in a term is 1.

Here, the term on the left side of the equal sign has x to the first power. The term on the right side of the equal sign has y to the first power. Both are linear terms, so this is a linear equation.

7 0
3 years ago
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