2.50*0.25

Simplify the expression above. Which of the following is correct?

The first three months of the year are January, February, and March. We need to find the total rainfall for these three months from the provided graph.

In the month of January, rainfall is between o and 1, which is halfway. Therefore, rainfall in January is 0.5 inches

On February, rainfall was 1 inch and on March the rainfall was 2 inches. Thus,

Total rainfall = 0.5 inches + 1 inches + 2 inches = 3.5 inches

Correlation of two variables falls into:

Positive correlation: an increase in one variable causes another variable to increase

Negative correlation: an increase in one variable causes another one to decrease

No correlation: a change in one variable does not cause any response in another variable.

From the given choices

Option a is no correlation

Option b is a negative correlation

Option c is a negative correlation

Option d is a positive correlation

we use given information to find how much ammonia is need to make the specified solution.

We are told, one gallon of cleaning solution requires 6 oz of ammonia. In other words, we can express this as:

1 gallon of solution6 oz of ammonia

Or

6 oz of ammonia1 gallon of solution

Since we are needed to find how much ammonia is needed, we use the second option to find how much ammonia is required by 120 gallons of solution.

From the above equation, gallon of solution will cancel, and oz of ammonia is left.

Therefore, the solution will require 720 oz of ammonia.

To simplify the expression:

12+3×4−1+23

Step 1: Follow the order of operations (BODMAS)

Multiplication first:

3×4=12

23 = 2×2×2=8

Now the expression becomes:

12+12−1+8

Step 2: Perform addition and subtraction from left to right

• 12+12=24
• 24−1=23
• 23+8=31

The correct answer is 31.

We are told to find the area of the pizza given its diameter. The pizza is in circular form, and its area is found as:

However, we are not given r, which is the radius of the circle. But we can find it from the given diameter as

Substituting r=8 in the equation of the area of a circle

Thus, the area of the pizza is 64  in2.

NOTE:  (Pi) remains as a symbol because values of Pi can vary from 22/7 to 3.1415 to 3.14 and so forth.

To find the least common denominator (LCD) of the fractions 1/2, 2/3, and 4/5, follow these steps:

Step 1: Identify the denominators

The denominators are 2, 3, and 5.

Step 2: Find the least common multiple (LCM)

The LCM of 2, 3, and 5 is the smallest number that all three denominators divide into evenly.

• Prime factorization:
  • 2=2
  • 3=3
  • 5=5

Since 2, 3, and 5 are all prime numbers, their LCM is:

2×3×5=30

we follow the order operations to solve for the unknown value of x.

2(4x+3)=7x+5

Open the bracket on the LHS by multiplying each term by 2

(2*4x)+(2*3)=7x+5

8x+6=7x+5

Subtract 6 from both sides

8x+6-6=7x+5-6

8x=7x-1

Subtract 7x on both sides

8x-7x=7x-7x-1

X=-1

Thus, the value of unknown value of x is -1.

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.

The best way to display the frequency of each day of the week when students get up after 8 a.m. is by using a bar graph. Bar graphs are well-suited for representing categorical data, where each day of the week is a separate category, and the height of each bar corresponds to the count or frequency of students waking up late on that specific day.

Note: Histograms, on the other hand, are more appropriate for visualizing continuous or numerical data and are not ideal for categorical data like days of the week.Histograms are useful for understanding the distribution of data, identifying patterns, and assessing the shape of the data distribution, such as whether it's normally distributed, skewed, or has multiple modes.

As you can see below, the Histogram is used to depict a pattern/continuous/rangedata. While a bar graph does just fine even with discrete data.

we are needed to find the portion of pizza shared by 3 three friends. We treat the whole pizza as 1. Now, 1 friend eats half of the whole pizza. Thus,

One friend=1/2 of 1=1/2*1=1/2

Remaining amount=1-1/2=2/2-1/2=1/2

Thus, ½ of pizza is left for three friends to share among themselves. Then, each friend will get

So, the other three friends will each get 1/6 of the pizza.