A person weighed themselves at 180 lb. Three months later they weighed themselves at 160 lb. Which of the following is the percent of weight the person lost over 3 months? (Round to the nearest percent.)

We use the calculator to determine the positive square root of 20, which is then multiplied by 20.

Using the calculator,

Multiplying the square root above with 10 becomes

The approximate value is 44.7.

We follow the order of operations to solve the given expression.

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

[2(3+5*3)]

We start with multiplication in inner brackets, 5*3=15. The expression becomes

[2(3+15)]

Then, we conduct the addition of 3+15=18. Then, the expression yields

[2(18)]=2*18=36

Now, we solve for denominator, which is 12/2=6.

Thus, the expression is reduced into

The expression reduces into 6.

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

Letting x be the number of cups of flour and setting the proportion equation with number of cookies on numerator and number of cups of flour on the denominator. We have

Solve the value of x by cross-multiplying

We convert the mixed fraction into improper fraction in order to carry out multiplication

\(x =\ \frac{9}{4}\ cups\ *\ 90\ cookies\ *\ \frac{1}{36}\ cookies\)

The number of cups of flour needed to make 90 cookies is 5.625 cups, which is equal to 5 5/8 cups(Choice B).

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

The question requires us to find the percentage change in weight of a person.

First, we need to find the change in weight over the 3 months

Change in weight= 180-160=20 lb

Percent change in weight is change of original weight *100. Thus

The percent change in weight is 11% to the nearest whole number.

We are asked to find the one of the lengths of a right-angled triangle, we use the Pythagoras theorem to find the unknown length.

First, we label the triangle as below and let the unknown length be x.

Then, we apply the Pythagoras theorem to find the value of x as:

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

The value of the unknown length is approximately 8.9 feet.

What fraction of the pizza the other three friends get is what is asked to find.

First, the pizza is whole, representing a value of 1. Then, one friend ate half of the pizza. Thun, the fraction of the pizza the friend gets is:

First friend eats =1/2 of 1=1/2

Remaining fraction of the pizza=1-1/2=1/2

Now, the three friends share ½ amongst themselves equally. Then, each friend gets

The three friends each gets 1/6 of the pizza.

We required to find the units of finding the weight of a spoon. The mass is measured in kilogram and grams. Kilograms are used to measure the mass of heavier objects while grams for small and lighter objects.

Thus, gram is the appropriate unit for measuring weight of a spoon.

We need to find the price changes in each day of the week in order to find the price of the stock on Thursday.

Monday’s price was $50.33

Tuesday’s price went up by $2.35 from Monday’s price. The price was $(50.33+2.35)=$52.68

Wednesday’s price decreased by $1.07 from Tuesday’s price, and so the price of the stock was $(52.68-1.07)=$51.61

Thursday’s price increased by $0.75 from Wednesday’s price, which was $(51.61+0.75)=$52.36

Therefore, the price of the stock on Thursday was $52.36.

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.