If x represents the width of a rectangle and length is four less than three times the width, which of the following expressions represents the length of the rectangle in terms of x?

from the given estimations, we can find the actual addition of the numbers and see a trend the student utilizes to find their estimates. The exact sum is as follows

24+190=214

151+319=470

974+1022=1996

From the above evaluation, we can clearly see the students approximates the value in the ones values. So, in the problem we need to approximate 452+5017.

452+5017=5469

We can approximate 5469 based on the provided choices to 5470.

the question requires we find the cost of two syringes.

If we let x be the cost of two syringes, then we set up a proportion equation with cost as numerator and number of syringes as denominator. The proportion equation becomes

Cross-multiply to solve for x

Rearranging the above

Divide both sides by 35

The cost of 2 syringes is $32.

To solve this equation, we use a calculator and find the product as:

2.50*0.25=0.625

To find the true statement we need to analyze the given statements.

For statement 1: the points per game decreased five times between 1996 and 2015. So, the statement is false.

For statement 2: the lowest points scored per game was in 1998-99 season. So, the statement is false.

For statement 3: 2008-09 was the season the chargers scored the greatest number of points per game. So, this statement is true.

The initial step is to convert the decimal numbers into fractions.

4.4 becomes 44/10

4.25 becomes 425/100

Thus, the set of fractions is 9/2, 44/10, 10/3, 425/100. The least common denominator for 2, 10, 3, and 100 is 300, which we use to compare each options given.

9/2*300=1350

44/10*300=1320

10/3*300=1000

425/100*300=1275

From the above, 1350 is the greatest value which corresponds to 9/2. Thus, 9/2 is the greatest value of all the choices given.

to change L to mL we use the following options of interconversions:

Or

Since we are needed to change L to mL, use the second option.

Thus, a bucket can hold 3000 mL which is equal to 3 L.

The length of the unknown side of the rectangle can be found by using the Pythagoras theorem. We label the triangle from the given data as shown below

Let the unknown length be x.

Applying the Pythagoras theorem, the value of x is found as:

\(a ^2 +b ^2 =c ^2\)

The unknown length of the triangle is approximately 8.9 feet.

an independent variable is one that when changed, causes the other variable(s) to change. In our case, calories burned, distance traveled, energy used increase when cycling speed increases.

Therefore, speed is the independent variable while other variables are dependent.

In this scenario, we use the given scale in the charts to find the number of each coin and selected the right number of coins the student collected. The second options shows that the child collected 50 pennies, 45 nickels, 25 dimes, and 5 quarters.

We use 1 L =1000 mL to convert between the two units. The conversion fractions of interconverting are:

And

Since we want to end up with millimeters, the second conversion is used in converting L to mL as:

Thus, 0.5 L is equivalent to 500 mL.