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3 years ago

Complete the statement below to explain how this model shows that 1/6 ÷ 1/4 = 2/3.

Mathematics

2 answers:

svlad2 [7]3 years ago

5 0

Answer:

The answer is 2/3 and I will show the working to prove that in the explanation

Step-by-step explanation:

$\frac{1}{6}$ ÷ $\frac{1}{4}$

$\frac{1}{6}$ × $\frac{4}{1}$

Answer = $\frac{1}{6}$ × $\frac{4}{1}$ = $\frac{2}{3}$

So basically what is happening in the above steps what I have shown is that first I am changing the division sign into multiplication and then I am reciprocating the fraction of 1/4 into 4/1 because on the other side of it is multiplying and after doing that I am simplifying the fraction 4/6 by dividing it by 2 and hence I got a fraction of 2/3 as the answer

never [62]3 years ago

3 0

It takes 2/3 of a 1/4 bar to make 1/6

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Solve equation.<br> k+3=14

lorasvet [3.4K]

To solve the equation, subtract 3 from both sides. The solution is k = 11.

A linear equation is an equation of which the highest degree of its variables is 1.

Steps to solve linear equations:

Simplify the expressions. If there are parentheses, remove them by multiplying the corresponding terms.
Combine the same terms.
Isolate the variable on one side by using subtraction of addition.
Use division or multiplication to find the value of the variable.

Recall that if we subtract or add the same number to both sides of an equation, it does not change the equality.

The given problem:

Solve k + 3 = 14.

The variable is k. Subtract 3 from both sides:

k + 3 - 3 = 14 - 3

k = 11 (solved)

Learn more about solving an equation here:

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9 months ago

Please answer this correctly

Ksivusya [100]

Answer:

17 teaspoons

Step-by-step explanation:

1 tbs : 3 tsp

$5 \frac{2}{3} = \frac{17}{3} \\ \frac{17}{3} tbs \: = 3( \frac{17}{3} )tsp \\ \frac{17}{3} tbs = 17tsp$

Always start by converting mixed numbers into fractions;

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8 0

3 years ago

Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select t

Pepsi [2]

Answer:

Step-by-step explanation:

Two lines are perpendicular if the first line has a slope of $m$ and the second line has a slope of $\frac{1}{-m}$ .

With this information, we first need to figure out what the slope of the line is that we're given, and then we can determine what the slope of the line we're trying to find is:

$5x - 2y = -6$

$-2y = -5x - 6$

$y = \frac{5}{2}x + 3$

We now know that $m = \frac{5}{2}$ for the first line, which means that the slope of the second line is $m = \frac{-2}{5}$ . With this, we have the following equation for our new line: