wwww p each)MATHEMATICAL EXPRESSIONSALGEBRAIC EXPRESSIONSTwice the sum of twice a number and7 is equal to 17The product of thrice a number and 7 is 63square of the sum of a number and another equals 81The difference between 29 and thrice a number equals 20TheThe quotient of twice a number and 10 is equal to 10

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter2: Linear Equations

Section: Chapter Questions

Problem 3SGR

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4. (a) In your pocket you have some nickels, dimes, and quarters. There are 20 coins altogether and exactly twice as many dimes as nickels. The total value of the coins is $3.00. Find the number of coins of each type. (b) Find all possible combinations of 20 coins (nickels, dimes, and quarters) that will make exactly $3.00.
A triangular brick wall is made by cutting some bricks in half to use in the first column of every other row (see figure). The wall has 28 rows. The top row is one-half brick wide and the bottom row is 14 bricks wide. How many bricks are in the finished wall?
American Dollars and British Pounds Assume that at the current exchange rate, the British pound is worth 1.65 in American dollars. You have some dollars bills and several British pound coins. There are 17 items altogether, which have a total value of 20.25 in American dollars. How many American dollars and how many British pound coins do you have?
Enclosing a field You have 16 miles of fence that you will use to enclose a rectangle field. a.Draw a picture to show that you can arrange the 16 miles fence into a rectangle of width 3 miles and length 5 miles. What is the area of this rectangle? b.Draw a picture to show that you can arrange the 16 miles fence into a rectangle of width 2 miles and length 6 miles. What is the area of this rectangle? c.The first two parts of this exercise are designed to show you that you can get different areas for the rectangle of the sane perimeter, 16 miles. In general, if you arrange the 16 miles of fence into a rectangle of width w miles, then it will enclose an area of A=w8-w square miles. iMake a graph of the area enclosed as a function of w, and explain what the graph is showing. iiWhat width w should you use to enclose the most area? iiiWhat is the length of the maximum-area rectangle that you made, and what kind of figure do you have?

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e each) MATHEMATICAL EXPRESSIONS Twice the sum of twice a number and7 is equal to 17 The product of thrice a nuumber and 7 is 63 The square of the sum of a number and another equals 81 ALGEBRAIC EXPRESSIONS