Answer:
18x + 48 = 20
Step-by-step explanation:
Rewrite the equation below so that it does not have fractions. 3/4x+2=5/6 do not use decimals in your answer.
We are given the expression:
3/4x + 2=5/6
= 3x/4 + 2 = 5/6
Rewriting the Equation so that it does not have fraction is, we Multiply both sides by the 24
= 3x/4 × 24 + 2 × 24 = 5/6 × 24
= 3x/4 × 24 + 48 = 5 × 4
= 3x × 6 + 48 = 20
= 18x + 48 = 20
Therefore, the Equation without fractions = 18x + 48 = 20
Answer:
Step-by-step explanation:
<u>Sum of the width of the two frames and a gap between them:</u>
<u>The gaps from the left and right are equal to x:</u>
- x = (10 feet - 64 in)/2 = (120 in - 64 in)/2 = 28 in
Answer:
If the n-th term of a sequence be , t(n) equal to then the 5-th term is 27 but if the n-th term is (2n -n) then the 5-th term is 5.
Step-by-step explanation:
If the n-th term of a sequence be , t(n) =
then, the 5-th term is given by, t(5) =
= 32 - 5
= 27
If the n-th term of a sequence be , t(n) = 2n - n = n
then, the 5-th term is given by, t(5) = 5
Answer:
30
Step-by-step explanation:
6+4+4+6.5+9.5
To add x/2 and x/5 together, we note that the least common denominator between 2 and 5 is 10. Using this fact, we can turn x/2 into the equivalent fraction 5x/10, and x/5 into 2x/10. Adding the two together gets us
5x/10 + 2x/10 = 7x/10
Now, our equation reads
7x/10 = 5/4
Cross multiplying, this equation implies that
7x(4) = 10(5), or
28x = 50.
Dividing either side by 28, we find that
x = 50/28 = 25/14
To verify this, we can substitute this value in for x in the original equation to get
(25/14)/2 + (25/14)/5
For the first term, half of 1/14 is 1/28, so half of 25/14 should give us 25/28. For the second, 1/5 of 25 is 5, so 1/5 of 25/14 is appropriately 5/14, or 10/28.
25/28 + 10/28 = 35/28, and since 35 and 28 have a common factor of 7 (35 = 7 x 5, 28 = 7 x 4), we can reduce 35/28 to 5/4, showing that our answer checks out.