Academic Connection

Mathematics Create a table listing which of the 13 original colonies were represented in the 39 signatures to the U.S. Constitution. Calculate the percent that figure represents of the total participants.

Number and Operations: Using Fractions, Decimals, and Rounding. To figure out the problem, take the number for each category and divide by the total. For example,

$$\dfrac{8}{39}=.205$$

. Then change the decimal to a percent by moving the decimal to the right two spaces and adding a percent sign. Round numbers of 5 or more up and numbers less than 5 down. For example, .2045 rounds to 20.5% and .2044 rounds to 20.4%.

Critical Thinking

Search and Seizure Suppose that the principal of your school has decided that all students will be searched when they enter the school building in the morning and when they leave in the afternoon. Write a legal argument that you could present to the principal when you ask him or her to reconsider the new search policy.

Academic Connection

Social Studies The Bill of Rights clearly spells out the immunities for the individual citizen. Why do you think the writers of the Bill of Rights were so concerned with this?

English Language Arts Using the Bill of Rights as a guide, write a bill of rights addressing student rights to a free education.

Write a summary of "A World of Heroes." Remember that a summary is a concise, complete, and accurate overview of a text. It should not include a statement of your opinion or an analysis.

In what ways does the struggle for freedom change with history? What has this text taught you about power, protest, and change? Discuss with your group.

Clinton and Barbara are the partners in a local music shop. They needed $448,500 to start the business. They invested in the ratio of 11:12. a. How much money did each invest? b. What percent of the business is owned by Clinton? Round to the nearest tenth of a percent.

Julie and Kristen are the partners in a local sporting goods shop. They needed $51,000 to start the business. They invested in the ratio 5:12, respectively. If the business grows to$3,000,000, what percent of it will Julie own? Round to the nearest tenth of a percent.

Julie and Kristen are the partners in a local sporting goods shop. They needed $51,000 to start the business. They invested in the ratio 5:12, respectively. If the business grows to$3,000,000, what percent of it will Julie own? Round to the nearest tenth of a percent.

Julie and Kristen are the partners in a local sporting goods shop. They needed $51,000 to start the business. They invested in the ratio 5:12, respectively. If the business grows to$3,000,000, what percent of it will Julie own? Round to the nearest tenth of a percent.

Perform each operation mentally. $\left(0.25^{3}\right)\left(400^{3}\right)$

Perform the indicated operation and write the results in standard form.

$$\left(x^2+1\right)^2$$

Perform the indicated operation and, if possible, simplify.

$$\frac{3}{5 x} \cdot \frac{2}{x^2}$$

Erin is a 28-year-old professional woman who is 5 feet 8 inches tall and vigilantly maintains her weight at 118 pounds by following a lacto-ovo (non-fat milk and egg whites only) vegetarian diet that supplies approximately 1200 calories a day. With her understanding that protein should provide between 10 and 35 percent of her daily calories, she reasons that her daily intake of 40 grams of protein from milk, eggs, legumes, and nuts is adequate for her needs. She is concerned, however, that she has been sick more than usual and has experienced two stress fractures in her leg over the past three years while exercising. What can be said about Erin's protein intake?

A. Erin's reliance on legumes and other non-meat sources of protein may increase her risk of certain cancers, such as colon cancer.

B. She is actually getting more protein than recommended, and this may cause her to excrete calcium, increasing her risk of bone fracture.

C. Although it falls within the recommended range in terms of the percentage of total energy intake, her protein intake is less than recommended in terms of the absolute amount needed to maintain a healthy body weight.

D. Given that she is a lacto-ovo vegetarian, it is virtually impossible for her to get adequate, balanced protein.

E. Given her lacto-ovo vegetarian diet, she is probably consuming too much methionine and tryptophan.

Perform the operation and write the result in standard form. $(-1+i)-\sqrt{2}-\sqrt{-2}$