(7x+3)×(10+4)=238
\( (7x+3)\times(10+4)=238 \)
\( (9+17x)\times(6+1)=420 \)
Calculate a X
\( (a+3a)\times(5+2)=112 \)
Calculate a a
A building is 21 meters high, 15 meters long, and 14+30X meters wide.
Express its volume in terms of X.
Look at the rectangle in the figure.
What is its area?
We begin by solving the addition exercise in the right parenthesis:
We then multiply each of the terms inside of the parentheses by 14:
Following this we solve each of the exercises inside of the parentheses:
We move the sections whilst retaining the appropriate sign:
Finally we divide the two parts by 98:
2
Calculate a X
We begin by solving the addition exercise in the right parenthesis:
We then multiply each of the terms inside the parentheses by 7:
We continue by solving each of the exercises inside of the parentheses:
Following this we rearrange the sections whilst maintaining the appropriate sign:
Finally we divide the two parts by 119:
3
Calculate a a
We begin by solving the two exercises inside of the parentheses:
We then divide each of the sections by 4:
In the fraction on the left side we simplify by 4 and in the fraction on the right side we divide by 4:
Remember that:
Lastly we divide both sections by 7:
4
A building is 21 meters high, 15 meters long, and 14+30X meters wide.
Express its volume in terms of X.
We use a formula to calculate the volume: height times width times length.
We rewrite the exercise using the existing data:
We use the distributive property to simplify the parentheses.
We multiply 21 by each of the terms in parentheses:
We solve the multiplication exercise in parentheses:
We use the distributive property again.
We multiply 15 by each of the terms in parentheses:
We solve each of the exercises in parentheses to find the volume:
Look at the rectangle in the figure.
What is its area?
We know that the area of a rectangle is equal to its length multiplied by its width.
We begin by writing an equation with the available data.
Next we use the distributive property to solve the equation.
We then solve each of the exercises within the parentheses:
Finally we add up all the coefficients of X squared and all the coefficients of X cubed and we obtain the following:
Gerard plans to paint a fence 7X meters high and 30X+4 meters long.
Gerardo paints at a rate of 7 m² per half an hour.
Choose the expression that represents the time it takes for Gerardo to paint one side of the fence.
Gerard plans to paint a fence 7X meters high and 30X+4 meters long.
Gerardo paints at a rate of 7 m² per half an hour.
Choose the expression that represents the time it takes for Gerardo to paint one side of the fence.
In order to solve the exercise, we first need to know the total area of the fence.
Let's remember that the area of a rectangle equals length times width.
Let's write the exercise according to the given data:
We'll use the distributive property to solve the exercise. That means we'll multiply 7x by each term in the parentheses:
Let's solve each term in the parentheses and we'll get:
Now to calculate the painting time, we'll use the formula:
The time will be equal to the area divided by the work rate, meaning:
Let's separate the exercise into addition between fractions:
We'll reduce by 14 and get:
And this is Isaac's work time.
hours