22. $$ \frac{4}{c}=\frac{3}{7 \frac{1}{2}} $$ Simplify: 23. $$ (1.5)^{2}=15 w $$ 24. $$ 1 \mathrm{gal}-1 $$ qt 1 pt 1 oz 25. $$ 16 \div(0.04 \div 0.8) $$ 27. $$ \frac{5}{8}+\frac{2}{3} \cdot \frac{3}{4}-\frac{3}{4} $$ * $$ 26.10-[0.1-(0.01)(0.1)] $$ 29.) $$ \sqrt{5^{2}-2^{4}} $$ 28. $$ 4 \frac{1}{2} \cdot 3 \frac{3}{4} \div 1 \frac{2}{3} $$ *30. Generalize $$ 3+6[10-(3 \cdot 4-5)] $$ Course 2

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UpStudy AI · Accepted Answer

Simplify the expression by following steps:
- step0: Solution:
  $$1.5^{2}-15w$$
- step1: Convert the expressions:
  $$\left(\frac{3}{2}ight)^{2}-15w$$
- step2: Simplify:
  $$\frac{3^{2}}{2^{2}}-15w$$
- step3: Evaluate the power:
  $$\frac{9}{4}-15w$$
Calculate or simplify the expression $$ 16/(0.04/0.8) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{16}{\left(\frac{0.04}{0.8}ight)}$$
- step1: Remove the parentheses:
  $$\frac{16}{\frac{0.04}{0.8}}$$
- step2: Divide the terms:
  $$\frac{16}{\frac{1}{20}}$$
- step3: Multiply by the reciprocal:
  $$16	imes 20$$
- step4: Multiply the numbers:
  $$320$$
Calculate or simplify the expression $$ 3+6*(10-(3*4-5)) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$3+6\left(10-\left(3	imes 4-5ight)ight)$$
- step1: Multiply the numbers:
  $$3+6\left(10-\left(12-5ight)ight)$$
- step2: Subtract the numbers:
  $$3+6\left(10-7ight)$$
- step3: Subtract the numbers:
  $$3+6	imes 3$$
- step4: Multiply the numbers:
  $$3+18$$
- step5: Add the numbers:
  $$21$$
Calculate or simplify the expression $$ 26.10-[0.1-(0.01)(0.1)] $$.
Calculate the value by following steps:
- step0: Calculate:
  $$26.1-\left(0.1-0.01	imes 0.1ight)$$
- step1: Multiply the numbers:
  $$26.1-\left(0.1-0.001ight)$$
- step2: Subtract the numbers:
  $$26.1-0.099$$
- step3: Subtract the numbers:
  $$26.001$$
Calculate or simplify the expression $$ 5/8+2/3*3/4-3/4 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{5}{8}+\frac{\frac{2}{3}	imes 3}{4}-\frac{3}{4}$$
- step1: Reduce the fraction:
  $$\frac{5}{8}+\frac{1}{2}-\frac{3}{4}$$
- step2: Reduce fractions to a common denominator:
  $$\frac{5}{8}+\frac{4}{2	imes 4}-\frac{3	imes 2}{4	imes 2}$$
- step3: Multiply the numbers:
  $$\frac{5}{8}+\frac{4}{8}-\frac{3	imes 2}{4	imes 2}$$
- step4: Multiply the numbers:
  $$\frac{5}{8}+\frac{4}{8}-\frac{3	imes 2}{8}$$
- step5: Transform the expression:
  $$\frac{5+4-3	imes 2}{8}$$
- step6: Multiply the numbers:
  $$\frac{5+4-6}{8}$$
- step7: Calculate:
  $$\frac{3}{8}$$
Solve the equation $$ 4/c=3/(7*1.5) $$.
Solve the equation by following steps:
- step0: Solve for $$c$$:
  $$\frac{4}{c}=\frac{3}{\left(7	imes 1.5ight)}$$
- step1: Find the domain:
  $$\frac{4}{c}=\frac{3}{\left(7	imes 1.5ight)},c
eq 0$$
- step2: Remove the parentheses:
  $$\frac{4}{c}=\frac{3}{7	imes 1.5}$$
- step3: Simplify:
  $$\frac{4}{c}=\frac{2}{7}$$
- step4: Rewrite the expression:
  $$c=\frac{4	imes 7}{2}$$
- step5: Divide the terms:
  $$c=14$$
- step6: Check if the solution is in the defined range:
  $$c=14,c
eq 0$$
- step7: Find the intersection:
  $$c=14$$
Calculate or simplify the expression $$ 1-1-1/4-1/8 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$1-1-\frac{1}{4}-\frac{1}{8}$$
- step1: Simplify:
  $$-\frac{1}{4}-\frac{1}{8}$$
- step2: Reduce fractions to a common denominator:
  $$-\frac{2}{4	imes 2}-\frac{1}{8}$$
- step3: Multiply the numbers:
  $$-\frac{2}{8}-\frac{1}{8}$$
- step4: Transform the expression:
  $$\frac{-2-1}{8}$$
- step5: Subtract the numbers:
  $$\frac{-3}{8}$$
- step6: Rewrite the fraction:
  $$-\frac{3}{8}$$
Calculate or simplify the expression $$ \sqrt(5^{2}-2^{4}) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\sqrt{5^{2}-2^{4}}$$
- step1: Subtract the numbers:
  $$\sqrt{9}$$
- step2: Write in exponential form:
  $$\sqrt{3^{2}}$$
- step3: Simplify the root:
  $$3$$
Calculate or simplify the expression $$ 4.5*3.75/1.67 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{4.5	imes 3.75}{1.67}$$
- step1: Multiply the numbers:
  $$\frac{16.875}{1.67}$$
- step2: Convert the expressions:
  $$\frac{\frac{135}{8}}{\frac{167}{100}}$$
- step3: Multiply by the reciprocal:
  $$\frac{135}{8}	imes \frac{100}{167}$$
- step4: Reduce the numbers:
  $$\frac{135}{2}	imes \frac{25}{167}$$
- step5: Multiply the fractions:
  $$\frac{135	imes 25}{2	imes 167}$$
- step6: Multiply:
  $$\frac{3375}{334}$$
Here are the solutions for each of the problems:

22. To solve $$ \frac{4}{c}=\frac{3}{7 \frac{1}{2}} $$:
   - The value of $$ c $$ is $$ 14 $$.

23. To simplify $$ (1.5)^{2}=15 w $$:
   - This simplifies to $$ \frac{9}{4} - 15w $$.

24. To simplify $$ 1 	ext{ gal} - 1 	ext{ qt} - 1 	ext{ pt} - 1 	ext{ oz} $$:
   - This results in $$ -\frac{3}{8} $$ or $$ -0.375 $$ gallons.

25. To simplify $$ 16 \div(0.04 \div 0.8) $$:
   - The result is $$ 320 $$.

27. To simplify $$ \frac{5}{8}+\frac{2}{3} \cdot \frac{3}{4}-\frac{3}{4} $$:
   - This results in $$ \frac{3}{8} $$ or $$ 0.375 $$.

26. To simplify $$ 26.10-[0.1-(0.01)(0.1)] $$:
   - The result is $$ 26.001 $$ or $$ 26 \frac{1}{1000} $$.

29. To simplify $$ \sqrt{5^{2}-2^{4}} $$:
   - The result is $$ 3 $$.

28. To simplify $$ 4 \frac{1}{2} \cdot 3 \frac{3}{4} \div 1 \frac{2}{3} $$:
   - The result is $$ 21 $$.

30. To generalize $$ 3+6[10-(3 \cdot 4-5)] $$:
   - The result is $$ 21 $$.

If you need further clarification or additional calculations, feel free to ask!
Here are the simplified solutions: 22. $$ c = 14 $$ 23. $$ (1.5)^2 = 15w $$ simplifies to $$ \frac{9}{4} - 15w $$ 24. $$ 1 	ext{ gal} - 1 	ext{ qt} - 1 	ext{ pt} - 1 	ext{ oz} = -0.375 $$ gallons 25. $$ 16 \div (0.04 \div 0.8) = 320 $$ 27. $$ \frac{5}{8} + \frac{2}{3} \cdot \frac{3}{4} - \frac{3}{4} = 0.375 $$ 26. $$ 26.10 - [0.1 - (0.01)(0.1)] = 26.001 $$ 29. $$ \sqrt{5^2 - 2^4} = 3 $$ 28. $$ 4 \frac{1}{2} \cdot 3 \frac{3}{4} \div 1 \frac{2}{3} = 21 $$ 30. $$ 3 + 6[10 - (3 \cdot 4 - 5)] = 21 $$

Simplify:
23.
24. qt 1 pt 1 oz
25.
27.

29.)

*30. Generalize
Course 2

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Simplify: 23. 24. qt 1 pt 1 oz 25. 27. 29.) *30. Generalize Course 2