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:

Solve for x. (10)/(3)=(x)/(6) Answer:

Solve for x \mathrm{x} .\newline103=x6 \frac{10}{3}=\frac{x}{6} \newlineAnswer:

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 7right chevron icon
Powers with decimal and fractional basesright chevron icon

Full solution

Q. Solve for x \mathrm{x} .\newline103=x6 \frac{10}{3}=\frac{x}{6} \newlineAnswer:
  1. Identify method: Identify the cross-multiplication method to solve the proportion.\newlineTo solve the equation (103)=(x6)(\frac{10}{3}) = (\frac{x}{6}), we can cross-multiply to find the value of xx.
  2. Cross-multiply terms: Cross-multiply the terms of the proportion.(103)×6=x×3(\frac{10}{3}) \times 6 = x \times 3
  3. Perform multiplication: Perform the multiplication on the left side of the equation.\newline10×6=6010 \times 6 = 60\newlineSo, 603=x×3\frac{60}{3} = x \times 3
  4. Simplify left side: Simplify the left side of the equation. \newline603=20\frac{60}{3} = 20\newlineSo, 20=x×320 = x \times 3
  5. Divide and solve: Divide both sides of the equation by 33 to solve for xx.203=x\frac{20}{3} = x
  6. Simplify division: Simplify the division to find the value of xx.x=203x = \frac{20}{3}

More problems from Powers with decimal and fractional bases

Question
Write the expression using an exponent.\newline2×22 \times 2\newline______
Get tutor helpright-arrow

Posted 2 months ago

Question
Evaluate the expression. 4−42 4 - 4^2 ____
Get tutor helpright-arrow

Posted 2 months ago

Question
x2=4x^2 = 4
Get tutor helpright-arrow

Posted 1 month ago

Question
x2=9x^2 = 9
Get tutor helpright-arrow

Posted 3 months ago

Question
Solve for x. \newlinex2=0x^2 = 0 \newlineWrite your answer in simplified, rationalized form. \newlinex=x = _____ or x=x = _____
Get tutor helpright-arrow

Posted 3 months ago

Question
Solve for xx. \newline8=2x8 = 2^x \newline x=x = _____
Get tutor helpright-arrow

Posted 3 months ago

Question
Solve for xx. \newline6=7x6 = 7^x \newline x=x = _____
Get tutor helpright-arrow

Posted 3 months ago

Question
Select the equivalent expression.\newline((8−5)/(2−2))−4=?((8^{-5})/(2^{-2}))^{-4}=?\newlineChoose 11 answer:\newline(A) \newline(820)/(28)(8^{20})/(2^{8})\newline(B) \newline(26)/(89)(2^{6})/(8^{9})\newline(C) \newline(1)/(8⋅22)(1)/(8\cdot 2^{2})
Get tutor helpright-arrow

Posted 4 days ago

Question
Select the equivalent expression.\newline(b745)−3= ?\left(\frac{b^{7}}{4^{5}}\right)^{-3}=\,?\newlineChoose 11 answer:\newline(A) b21415\frac{b^{21}}{4^{15}}\newline(B) 415b21\frac{4^{15}}{b^{21}}\newline(C) b−21⋅4−15b^{-21}\cdot 4^{-15}
Get tutor helpright-arrow

Posted 1 month ago

Question
Select the equivalent expression.\newline(33⋅66)−3=(3^{3}\cdot6^{6})^{-3}=?\newlineChoose 11 answer:\newline(A) 139⋅618\frac{1}{3^{9}\cdot6^{18}}\newline(B) 61839\frac{6^{18}}{3^{9}}\newline(C) 39618\frac{3^{9}}{6^{18}}
Get tutor helpright-arrow

Posted 1 month ago

View all (52)