Step-by-step explanation:
The denominators are 2, 3, and 4. The least common denominator is the least common multiple (LCM) of these numbers.
To find the LCM, first write the prime factorizations.
2 = 2¹
3 = 3¹
4 = 2²
The LCM is therefore 2² × 3 = 12.
Rewrite the fractions with a denominator of 12.
⁷/₄ + ¹/₂ + ⁵/₃ + ¹/₃ + ¹/₄ + ¹/₂
= ²¹/₁₂ + ⁶/₁₂ + ²⁰/₁₂ + ⁴/₁₂ + ³/₁₂ + ⁶/₁₂
Now that the denominators are the same, we can simply add the numerators.
= ⁽²¹⁺⁶⁺²⁰⁺⁴⁺³⁺⁶⁾/₁₂
= ⁶⁰/₁₂
= 5
1.) x= 1/2 You solve for x by cross multiplying 2.) x= -1 Hope I helped and You're very welcome. :3 Thank you comment. :P
Answer:
21
Step-by-step explanation:
trust (used a calculator)
Answer:
Step-by-step explanation:
Hi there!
Let the smaller number be x and the larger number be 2x+1.
According to the question,
The sum of the numbers is 20 less than three
times the larger.
i.e x + (2x+1)= 3*(2x+1) - 20
or, x + 2x +1 = 6x + 3 -20
or, 3x + 1 = 6x - 17
or, 3x = 18
or x= 18/3
x = 6
And 2x+1 = 2*6+1 = 13.
Therefore the smaller number is 6 and larger number is 13.
Hope it helps!
Answer:
Substitute -8 as x into the equation.
h(-8)=-2(-8+5)^2+4
h(-8)=-2(-3)^2+4
h(-8)=-2(9)+4
h(-8)=-18+4
h(-8)=-14
:)
