Answer:
(7/8 - 4/5)^2 = 9/
1600
= 0.005625
Step-by-step explanation:
Subtract: 7/
8
- 4/
5
= 7 · 5/
8 · 5
- 4 · 8/
5 · 8
= 35/
40
- 32/
40
= 35 - 32/
40
= 3/
40
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(8, 5) = 40. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 5 = 40. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - seven eighths minus four-fifths = three fortieths.
Exponentiation: the result of step No. 1 ^ 2 = 3/
40
^ 2 = 32/
402
= 9/
1600
In words - three-fortieths squared = nine one-thousand six-hundredths.
Answer:
Let x rep the lenght of the shorter one
Then the longer one is 2x+1
Therefore
(2x+1) + x = 16
We now solve for x
2x + 1 + x = 16
Group and evaluate like terms
3x +1 = 16
3x = 16 -1
× = 15/3
x = 5
So the shorter one is 5 ft
The longer one is 2(5)+1= 11
Solution:
we have been asked to find the product of (x+y+3)(x+y-4).
we will multiply term by term as below
Hence the the product of (x+y+3)(x+y-4) is 
To add or subtract fractions , their denominator ( The one beneath the numerator, the one that divides the numerator ).
If they both terms have the same denominators you just have to add or subtract their numerators and stay with your denominator:
example: 3/5 + 4/5 = 7/5
2/3 - 1/3 = 1/3
But if the terms you are adding or subtracting do NOT have the same denominator , you have to make their denominator equal by equivalency :
Example : 2/3 + 1/6
I cant add 2/3 to 1/6 because they have different denominators. But if I multiply 2/3 by 2/2 it wil be 4/6:
4/6 + 1/6 = 5/6 !!
As 2/2 = 1 , I did not change the value but I changed the numerator and denominator of 2/3 :
If I multiply the numerator of a fraction by any number , but I do the same thing to the denominator, It creates a equivalency, where I dont change the actual values of the fraction.
I hope you understood my brief explanation , and please consider marking this awnser as Branliest if you think it deserves it. Thank you ! :)
So it seems as if the first problem is asking this:
.
If x=0.15, then 11/15*(0.15) is 0.11 or 11/100.
The second problem is asking:
To solve algebraically, you want to get rid of the denominators under the x's. To do so, you want to multiply by the Least Common Multiple (LCM) of the denominators. For 3 and 4, the LCM is 12. Multiply everything by 12 to get:
3x+6=4x+2
Now, solve for x
Subtract 4x from both sides:
-x+6=2
Subtract 6 from both sides:
-x=-4
Multiply by -1 on both sides:
x=4.
