How many milliliters are there in 0.65 liters?

By inspection, we find the corresponding values of the given denominations in the following manner.

We are asked to make z the subject of the formula.

First, we subtract y/x from both sides of the equation

Thus, the formula for finding the value of z is  .

We required to find the units of finding the weight of a sheet of paper. The SI unit of mass of an object is kilogram. However, kilogram is a large quantity that cannot be used to measure smaller objects.

Thus, derived units of mass are used to find the mass of other objects. In this case, the mass of a sheet paper can be recorded in grams.

An independent variable is a variable that is manipulated or changed in the experiment. From the given equation, x is variable that is changed to obtain the desired outcome, F(x). Therefore, x is an independent variable.

To find the area of the largest circle that can fit entirely inside a rectangle measuring 8 cm by 10 cm, follow these steps:

Step 1: Determine the largest possible circle

• The largest circle that can fit inside the rectangle will have a diameter equal to the smaller side of the rectangle.
• The rectangle has dimensions 8 cm × 10 cm, so the largest possible diameter is 8 cm (since the circle must fit within the rectangle).

Step 2: Find the radius

The radius r is half of the diameter:

r=8/2=4cm

Step 3: Calculate the area of the circle

The area of a circle is given by the formula:

A=πr2 =16πcm2

we need to find the circumference of the circle from the given area.

The first step is to find the radius of the circle using the given area. Let r be the radius of the circle, then:

Substituting the value of area in the above equation becomes

Dividing both sides by pi and taking square root on both sides yields

Now, we know the radius of circle to be  9 in, the circumference of the circle becomes,

  in.

we set the conversion equation to find the unknown unit. Arrange the equation such that the unwanted units cancel out and the wanted unit remains.

The value 365.76 cm is close to 365 cm. Therefore, 4 yards is approximately 365 cm.

we are to use the pie chart to find the number of students enrolled in dental hygiene care.

Letting x represent the number of students enrolled in dental hygiene care, we set the proportion equation with number of students as numerator and percentage as denominator. It should be noted that the whole pie chart represents 100% of the 800 students. Then,

We solve the value of x by cross-products.

Therefore, 144 students will enroll for a dental hygiene program.

we are asked to find the percent change in weight gain of a person.

First, we need to find the change in weight gained over the 4 months

Change in weight= 186-176=10 lb

The percent change is expressed as change in weight over original weight *100. Then

The percent change in weight is 6% to the nearest whole number.

A histogram will be appropriate to represent the time the students wake up every day of the week. The histogram is used to represent the frequency of the variable with another variable. In our case the vertical axis will represent the number of students (frequency) while the time of waking up on the horizontal axis.