Which of the following is the area of the largest circle that can fit entirely inside a rectangle that measures 8 centimetres by 10 centimetres?

we are tasked to find the number of cups of flour that will be used to make 90 cookies.

This is a proportion equation, and letting x be the number of cups of flour we set the equation as follows:

Solve the value of x by cross-products

Next, we convert the mixed fraction into improper fraction in order to carry out multiplication

The baker needs 15.75 cups of flour to make 120 cookies.  15.75 in mixed fraction is  

the mean of a data set is the sum of the scores divided by the number of tests.

Total test scores =99+93+67+ 48+ 92+ 87=486

Number of tests =6

Mean test score =486/6=81

The mean test score is 81.

To answer this question, we need to convert the numbers into a similar form. Converting decimal numbers into fraction is appropriate to finding the greatest number.

-0.9 becomes 9/10

-1.9 becomes 19/10

Now we find the LCM of the denominators of the four fractions. The LCM of 5, 10 and 3 is 30. Multiply each fraction with the LCM to compare the fractions.

-3/5*30=-18

-9/10*30=-27

-19/10*30=-57

-8/3*30=-24

The greatest number is -18, meaning -3/5 is the greatest number.

We are given the equation:

6x−5=10x+15

Step 1: Move all xxx-terms to one side

Subtract 6x from both sides:

−5=10x−6x+15

Step 2: Move constants to the other side

Subtract 15 from both sides:

−5−15=4x

−20=4x

Step 3: Solve for x

Divide both sides by 4:

x=−20/4 = −5

The SI units of measuring length is meter. However, a meter can be a large unit or small quantity depending what is being measured. Therefore, derived units of meters are used to measure the length of an object. In our case, centimeters is the appropriate unit to measure the width of the window.

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  .

Choice A: 2 packs of Orange and 2 packs of Cream Soda

• Total drinks: 48 + 24 = 72 drinks
• Total cost: (2 * $15) + (2 * $5) = $30 + $10 = $40
• This choice not only meets the requirement of at least 60 drinks but also offers the best value in terms of cost per drink, making it the most cost-effective option.

Choice B: 3 packs of Root Beer

• Total drinks: 3 * 24 = 72 drinks
• Total cost: 3 * $14 = $42
• While this choice meets the requirement of at least 60 drinks, it's not the most cost-effective, as it costs $42for 72 drinks.

Choice C: 1 pack of Orange, 2 packs of Root Beer, and 1 pack of Cream Soda

• Total drinks: 24 + 48 + 12 = 84 drinks
• Total cost: $9 + (2 * $14) + $5 = $9 + $28 + $5 = $42
• This choice provides more than 60 drinks, but it's not the most cost-effective due to its higher cost of $42, same as choice B.

Choice D: 4 packs of Cream Soda

• Total drinks: 4 * 12 = 48 drinks
• Total cost: 4 * $5 = $20
• While this choice is the most cost effective, it falls short of providing the desired number of drinks.

9/20 is the same as 9 divided by 20, which is evaluated 9÷20. The value becomes 0.45.

Thus, 9/20 is equal to 0.45.

The scientist found that as water temperature increases, the fish population decreases. This means that the two variables move in opposite directions—when one increases, the other decreases.

This type of relationship is called a negative correlation.

To simplify this expression, we follow the order of operations as follows:

First, we start with the numerator and solve it as follows

[2(6+3*9)]

We start with multiplication in inner brackets, 3 * 9 = 27. The expression becomes

[2(6+27)]

Then, we carry out the addition of 6+27=33. Then, the expression yields

[2(33)]=2*33=66

Now, we solve for denominator, which is 6/2=3.

Thus, the expression is reduced into

The expression reduces into 22.