Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify the expression. Write your answers using integers or improper fractions. (1)/(2)((3)/(2)q-5q-5)-3q Answer:

Simplify the expression. Write your answers using integers or improper fractions.\newline12(32q−5q−5)−3q \frac{1}{2}\left(\frac{3}{2} q-5 q-5\right)-3 q \newlineAnswer:

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Geometryright chevron icon
Distance formularight chevron icon

Full solution

Q. Simplify the expression. Write your answers using integers or improper fractions.\newline12(32q−5q−5)−3q \frac{1}{2}\left(\frac{3}{2} q-5 q-5\right)-3 q \newlineAnswer:
  1. Write Expression: Write down the expression to be simplified.\newline(12)((32)q−5q−5)−3q(\frac{1}{2})((\frac{3}{2})q - 5q - 5) - 3q
  2. Distribute (1/2)(1/2): Distribute the (1/2)(1/2) across the terms inside the parentheses.\newline(1/2)(3/2)q−(1/2)(5q)−(1/2)(5)−3q(1/2)(3/2)q - (1/2)(5q) - (1/2)(5) - 3q
  3. Simplify Each Term: Simplify each term. 34q−52q−52−3q\frac{3}{4}q - \frac{5}{2}q - \frac{5}{2} - 3q
  4. Combine Like Terms: Combine like terms. To combine the terms with qq, we need a common denominator. The common denominator for 44 and 22 is 44.\newline34q−104q−52−3q\frac{3}{4}q - \frac{10}{4}q - \frac{5}{2} - 3q
  5. Combine Q Terms: Combine the q terms.\newline(34)q−(104)q(\frac{3}{4})q - (\frac{10}{4})q is (−74)q(-\frac{7}{4})q.\newlineNow we need to convert −3q-3q to a fraction with a denominator of 44 to combine it with (−74)q(-\frac{7}{4})q.\newline−3q-3q is the same as (−124)q(-\frac{12}{4})q.\newline(−74)q−(124)q(-\frac{7}{4})q - (\frac{12}{4})q is (−52)(-\frac{5}{2})
  6. Combine Q Terms: Combine the q terms with a common denominator.\newline(−74)q−(124)q(-\frac{7}{4})q - (\frac{12}{4})q is (−194)q(-\frac{19}{4})q.\newlineNow we have (−194)q−(52)(-\frac{19}{4})q - (\frac{5}{2}).
  7. Convert to Fraction: Convert (52)(\frac{5}{2}) to a fraction with a denominator of 44 to combine it with (−194)q(-\frac{19}{4})q.\newline(52)(\frac{5}{2}) is the same as (104)(\frac{10}{4}).\newline(−194)q−(104)(-\frac{19}{4})q - (\frac{10}{4})
  8. Combine Constant Terms: Combine the constant terms. (−194)q−(104)(-\frac{19}{4})q - (\frac{10}{4}) is the simplified expression.

More problems from Distance formula

Question
Find the distance between the points (6,0)(6,0) and (3,4)(3,4).\newlineWrite your answer as a whole number or a fully simplified radical expression. Do not round.\newline__\_\_ units
Get tutor helpright-arrow

Posted 2 months ago

Question
Find the distance between the points (4,3)(4,3) and (8,6)(8,6).\newline\newlineWrite your answer as a whole number or a fully simplified radical expression. Do not round.\newline\newline__\_\_ units
Get tutor helpright-arrow

Posted 2 months ago

Question
Find the distance between the points (3,1)(3,1) and (9,9)(9,9).\newline\newlineWrite your answer as a whole number or a fully simplified radical expression. Do not round.\newline\newline__\_\_ units
Get tutor helpright-arrow

Posted 2 months ago

Question
Find the distance between the points (5,6)(5,6) and (1,3)(1,3).\newline\newlineWrite your answer as a whole number or a fully simplified radical expression. Do not round.\newline\newline__\_\_ units
Get tutor helpright-arrow

Posted 2 months ago

Question
Find the distance between the points (2,7)(2,7) and (5,3)(5,3).\newlineWrite your answer as a whole number or a fully simplified radical expression. Do not round.\newline__\_\_ units
Get tutor helpright-arrow

Posted 2 months ago

Question
Simplify the expression. Write your answers using integers or improper fractions.\newline−72w+4(−5w+12) -\frac{7}{2} w+4\left(-5 w+\frac{1}{2}\right) \newlineAnswer:
Get tutor helpright-arrow

Posted 1 month ago

Question
Simplify the expression. Write your answers using integers or improper fractions.\newline−3k+12(32k−3) -3 k+\frac{1}{2}\left(\frac{3}{2} k-3\right) \newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
The following triangles are...\newlinecongruent by SAS\newlinecongruent by ASA A S A \newlinecongruent by HL \mathrm{HL} \newlinenot congruent
Get tutor helpright-arrow

Posted 4 hours ago

Question
Valentina is trying to decide whether to join her school's swim team. During the summer, the team practices 44 days per week. Each of those days, they practice for 33 hours in the morning and practice again in the afternoon. They practice for a total of 2020 hours each week. Which equation can you use to find hh, the length of each afternoon practice in hours?
Get tutor helpright-arrow

Posted 4 hours ago

Question
Valentina is trying to decide whether to join her school's swim team. During the summer, the team practices 44 days per week. Each of those days, they practice for 33 hours in the morning and practice again in the afternoon. They practice for a total of 2020 hours each week. Which equation can you use to find hh, the length of each afternoon practice in hours?
Get tutor helpright-arrow

Posted 4 hours ago

View all (8)