We need to use both the equation and the table to answer this question. We are looking for the corresponding \(\displaystyle y\) value for \(\displaystyle x=16\). We can plug \(\displaystyle 16\) into the \(\displaystyle x\) in our equation to solve for \(\displaystyle y\).

\(\displaystyle y=10(16)+4\)

\(\displaystyle y=160+4\)

\(\displaystyle y=164\)

\(\displaystyle \frac{1}{12}+\frac{2}{3}\)

In order to solve this problem, we first need to make common denominators. 

\(\displaystyle \frac{2}{3}\times\frac{4}{4}=\frac{8}{12}\)

Now that we have common denominators, we can add the fractions. Remember, when we add fractions, the denominator stays the same, we only add the numerator. 

\(\displaystyle \frac{1}{12}+\frac{8}{12}=\frac{9}{12}\)

\(\displaystyle \frac{9}{12}\) can be reduced by dividing \(\displaystyle 3\) by both sides. 

\(\displaystyle \frac{9}{12}\div \frac{3}{3}=\frac{3}{4}\)

\(\displaystyle \frac{3}{12}+\frac{1}{3}\)

In order to solve this problem, we first need to make common denominators. 

\(\displaystyle \frac{1}{3}\times\frac{4}{4}=\frac{4}{12}\)

Now that we have common denominators, we can add the fractions. Remember, when we add fractions, the denominator stays the same, we only add the numerator. 

\(\displaystyle \frac{3}{12}+\frac{4}{12}=\frac{7}{12}\)

When we round a number to the nearest tenth we look to the hundredths place to tell us if we round up or down.

\(\displaystyle 427.1{\color{Blue} 2}7\)

If the number in our hundredths place is \(\displaystyle 5\) or greater, we round up. If the number in the hundredths place is \(\displaystyle 4\) or less, we round down. When we round up, the number in the hundredths place increases by \(\displaystyle 1\) and all the other numbers to the right become \(\displaystyle 0\). When we round down, the number in the hundredths place stays the same and all the other numbers to the right become \(\displaystyle 0\).

In this case, \(\displaystyle 2\) is less than \(\displaystyle 5\) so our rounded number is \(\displaystyle 427.100\) or \(\displaystyle 427.1\)

\(\displaystyle \small 4\) __________ \(\displaystyle \small \small 4\times\frac{1}{4}\)

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over \(\displaystyle 1.\) Then we multiply like normal. 

\(\displaystyle \small \frac{4}{1}\times\frac{1}{4}=\frac{4}{4}\)

\(\displaystyle \small \frac{4}{4}=1\)

\(\displaystyle \small 4\) __________ \(\displaystyle \small 1\)

\(\displaystyle \small 4>1\)

When we write a number in expanded form, we multiply each digit by its place value. 

\(\displaystyle 9\) is in the ones place, so we multiply by \(\displaystyle 1\). 

\(\displaystyle 9\times1=9\)

\(\displaystyle 2\) is in the tenths place, so we multiply by \(\displaystyle \frac{1}{10}\). 

\(\displaystyle 2\times\frac{1}{10}=.2\)

\(\displaystyle 5\) is in the hundredths place, so we multiply by \(\displaystyle \frac{1}{100}\).

\(\displaystyle 5\times\frac{1}{100}=.05\)

Then we add the products together. 

\(\displaystyle \frac{\begin{array}[b]{r}9.00\\ +\ .20\\ .05 \end{array}}{ \ \ \space9.25}\)

To find the location on a coordinate plane we first look at the \(\displaystyle x\)-axis, which runs horizontal and then the \(\displaystyle y\)-axis, which runs vertical. We write the point on the \(\displaystyle x\)-axis first, followed by the point on the \(\displaystyle y\)-axis. \(\displaystyle (x,y)\)

The green triangle is over \(\displaystyle 21\) on the \(\displaystyle x\)-axis and up \(\displaystyle 9\) on the \(\displaystyle y\)-axis. 

The starting point is at \(\displaystyle (3,2)\). When we move up or down we are moving along the \(\displaystyle y\)-axis. When we move to the right or left we are moving along the \(\displaystyle x\)-axis. 

Moving up the \(\displaystyle y\)-axis and moving right on the \(\displaystyle x\)-axis means addition. 

Moving down the \(\displaystyle y\)-axis and moving left on the \(\displaystyle x-\)axis means subtraction. 

Because we are moving up \(\displaystyle 10\), we can add \(\displaystyle 10\) to our \(\displaystyle y\) coordinate point and because we are moving to the right \(\displaystyle 9\) we can add \(\displaystyle 9\) to our \(\displaystyle x\)coordinate point. 

\(\displaystyle 2+10=12\)

\(\displaystyle 3+9=12\)

\(\displaystyle (12,12)\)

A parallelogram can not be classified as a square because a square has to have \(\displaystyle 4\) equal sides, but a parallelogram can have two different side lengths, as long as the opposite side lengths are equal. 

A parallelogram can not be classified as a rectangle because a rectangle has to have \(\displaystyle 90^{\circ}\) angles, and a parallelogram does not. 

A parallelogram can not be classified as a triangle because a parallelogram has to have \(\displaystyle 4\) sides and a triangle only has \(\displaystyle 3\) sides. 

A parallelogram has four sides, and all shapes with four sides are quadrilaterals. 

To solve this problem we can make proportions.

We know that \(\displaystyle 1\ foot=12\ inches\), and we can use \(\displaystyle x\) has our unknown. 

\(\displaystyle \frac{1\ foot}{12\ inches}=\frac{x\ feet}{72\ inches}\)

Next, we want to cross multiply and divide to isolate the \(\displaystyle x\) on one side. 

\(\displaystyle 12\ inches\times x\ feet= 1\ foot \times 72\ inches\)

\(\displaystyle 6\ feet= \frac{1\ foot \times 72\ inches}{12\ inches}\)

The \(\displaystyle \yards\)\(\displaystyle \ inches\) will cancel and we are left with \(\displaystyle 6\ feet\)