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study help
mathematics
contemporary mathematics
Contemporary Mathematics 1st Edition OpenStax - Solutions
Three friends start their own business, where they knit and sell scarves and sweaters out of high-quality wool. They can make a profit of \(\$ 8\) per scarf and \(\$ 10\) per sweater. To make a scarf, 3 bags of knitting wool are needed; to make a sweater, 4 bags of knitting wool are needed. The
\(50-15\)Translate from algebra to words.
\((10)(x)\)Translate from algebra to words.
\(2 a-b\)Translate from algebra to words.
\(100 \div 33\)Translate from algebra to words.
\(3 x+5\)Translate from algebra to words.
15 divided by 3 .Translate from words to algebra.
The sum of 13 and 13 .Translate from words to algebra.
120 minus 12 .Translate from words to algebra.
The product of 5 and 4 .Translate from words to algebra.
The sum of double \(x\) and 5 .Translate from words to algebra.
Three times \(y\) minus 7 .Translate from an English phrase to an expression.
a divided by 2 ; then add 4 .Translate from an English phrase to an expression.
\(x\) squared minus 3 .Translate from an English phrase to an expression.
A rental car company charges \(\$ 0.15\) per mile \(m\), plus a \(\$ 40\) flat fee for the rental.Translate from an English phrase to an expression.
A parking garage in New York City charges \(\$ 20\) for the first hour, then \(\$ 5\) per hour \(h\).Translate from an English phrase to an expression.
\(16 \div 4 \cdot 2+5=13\)Use parentheses to make the statements true.
\(2^{2}-5+3 \cdot 2=5\)Use parentheses to make the statements true.
\(x-3 \cdot x-2=x^{2}-5 x+6\)Use parentheses to make the statements true.
\(20 x \div 5-1-5 x=0\)Use parentheses to make the statements true.
\(5 x+3 x \div 3-7 x+1 \cdot x=0\)Use parentheses to make the statements true.
\(x^{2}\) when \(x=9\)Evaluate and simplify the expression.
\(2 x+5\) when \(x=3\)Evaluate and simplify the expression.
\((3 x+1)(4 x-6)\) when \(x=2\)Evaluate and simplify the expression.
\(x^{2}+3 x+8\) when \(x=3\)Evaluate and simplify the expression.
\(\left(x^{2}+5 x-4\right)(2 x)\) when \(x=4\)Evaluate and simplify the expression.
\(4 a+5-2 a-8\) when \(a=6\)Evaluate and simplify the expression.
\(8 a^{2}+4 a+9-a^{2}-1\) when \(a=5\)Evaluate and simplify the expression.
Yasenia is 3 years older than Xavier. How old is Yasenia when Xavier is 18 years old?Evaluate and simplify the expression.
A rental car company charges \(\$ 0.15\) per mile \(m\), plus a \(\$ 40\) flat fee for the rental. What is the cost of the car rental if one drives 100 miles?Evaluate and simplify the expression.
A parking garage in New York City charges \(\$ 20\) for the first hour, then \(\$ 5\) per hour \(h\). What is the cost of parking for 10 hours?Evaluate and simplify the expression.
Add \((4 x-9)+(x+12)\).Perform the indicated operation for the expressions.
Add \(\left(3 x^{2}+2 x+1\right)+\left(x^{2}-2 x+2\right)\).Perform the indicated operation for the expressions.
Subtract \((4 x-9)-(-x+2)\).Perform the indicated operation for the expressions.
Subtract \(\left(3 x^{2}+5 x\right)-\left(x^{2}-3 x+11\right)\).Perform the indicated operation for the expressions.
Multiply \(4(x+2)\).Perform the indicated operation for the expressions.
Multiply \(2\left(3 x^{2}-2 x+1\right)\).Perform the indicated operation for the expressions.
Multiply \((3 x)(x-1)\).Perform the indicated operation for the expressions.
Multiply \((2 x-1)(x+3)\).Perform the indicated operation for the expressions.
\(\left(125 x^{2}+35 x-5\right) \div(5)\).Perform the indicated operation for the expressions.
\(\left(9 x^{2}+18 x-27\right) \div(3 x)\).Perform the indicated operation for the expressions.
Evaluate the following exponential expressions.1. \(3 \times 2^{5}+5 \times 8^{2}\)2. \(5 \times 7^{3}+2 \times 7^{2}+5 \times 7^{1}+3 \times 7^{0}\)3. \(1 \times 10^{4}+7 \times 10^{3}+4 \times 10^{2}+8 \times 10^{1}+8 \times 10^{0}\)
Write the following in expanded form.1. 924 2. 1,279 3. \(4,130,045\)
Convert the following to Hindu-Arabic Numerals.1. \(6 \times 10^{2}+2 \times 10^{1}+1 \times 10^{0}\)2. \(3 \times 10^{3}+2 \times 10^{2}+0 \times 10^{1}+3 \times 10^{0}\)3. \(4 \times 10^{7}+0 \times 10^{6}+6 \times 10^{5}+3 \times 10^{4}+0 \times 10^{3}+8 \times 10^{2}+9 \times 10^{1}+1 \times
Convert the Babylonian numberinto a Hindu-Arabic number.
Convert the Babylonian numberinto a Hindu-Arabic number. YY
Convert the Babylonian numberinto a Hindu-Arabic number.
Convert the Mayan number into a Hindu-Arabic number.
Convert the Mayan number into a Hindu-Arabic number.
Convert the Mayan number into a Hindu-Arabic number.
Convert the following Roman numerals into Hindu-Arabic numerals.1. LXXVII 2. \(C C X L\)3. \(M M M C D X L V I I\)
Convert the following Hindu-Arabic numerals into Roman numerals.1. 27 2. 49 3. 739 4. 3,647
What are the digits for base 4 ?
What are the digits used for base 12 ?
Convert \(421_{6}\) into base 10.
Convert \(\mathrm{A}^{2} \mathrm{C}_{14}\) into base 10.
Convert \(5 \mathrm{AB}_{12}\) into base 10 .
Convert \(11011_{2}\) into base 10 .
Write the numbers of base 4 up to \(100_{4}\).
Write the numbers of base 12 up to \(1_{00}^{4}\).
Write the numbers in base 3 up to 1003 .
Convert 693 to base 7.
Convert 9,275 to base 12 .
Convert 137 to base 2.
Convert the following into Mayan numbers.1. 137 2. 2,171
A base 10 number is converted to base 4 and the result was 37024 . Was an error committed? How do you know?
When changing from base 10 to base 6 , the division process resulted in the following remainders: \(5,0,0,10\). Was an error committed? How do you know?
A six-digit base 12 number is converted into a base 10 number. The base 10 number has five digits. Was an error committed? How do you know?
Calculate \(453_{6}+3456\).
Create the addition table for base 4.
Calculate \(461_{7}+1427\)
Create the addition table for base 14.
Calculate \(4 \mathrm{~B} 3_{12}+\mathrm{B} 06_{12}\).
Calculate \(101111_{2}+1100011_{2}\).
Calculate \(115_{6}-43_{6}\).
Calculate \(716_{12}-4 A B_{12}\).
Explain the error in the following calculation and correct the problem: \(133_{4}+112_{4}=245_{4}\)
Explain the error in the following calculation, and correct the error:\[ 149_{14}+19_{14}=168_{14} \]
Create the multiplication table for base 4.
Create the multiplication table for base 14.
1. Calculate \(43_{6} \times 52_{6}\).2. Calculate \(11101_{2} \times 11_{2}\).
Calculate \(\mathrm{B} 3_{12} \times 47_{12}\).
Calculate \(10_{6} \div 3_{6}\)
Explain the error in the following calculation and determine the correct answer: \(13_{4} \times 21_{4}=54_{4}\)
Explain the error in the following calculation. Determine the correct answer: \(49_{14} \times 9_{14}=441_{14}\)
Expand the Hindu-Arabic numeral 5,789 .
Evaluate the expression \(4 \times 7^{3}+5 \times 2^{5}\).
Rewrite \(6 \times 10^{5}+0 \times 10^{4}+8 \times 10^{3}+0 \times 10^{2}+1 \times 10^{1}+9 \times 10^{0}\) in Hindu-Arabic form.
Convert the Babylonian numeral to a Hindu-Arabic numeral.
Convert the Mayan number to a Hindu Arabic numeral.
What base system did the Babylonians use?
Which system-Roman, Babylonian, Mayan-used place values?
Convert the Roman numeral MDXLVII to a Hindu-Arabic numeral.
How many symbols are needed for a base 9 system?
For a system in a base larger than 10 , what symbols are used as digits representing more than 10 ?
Convert \(132_{8}\) to a base 10 number.
List the numbers in base 4 up to \(100_{4}\).
Convert 74 to a base 12 number.
Calculate \(314_{6}+453_{6}\).
Calculate \(4 B 1_{12}-2 A 6_{12}\).
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