<em>Greetings from Brasil...</em>
Let's find the equivalent fractions
A/B ; C/D ⇔ A·D/B·D ; C·B/B·D
Bringing to our problem:
A/B ; C/D ⇔ A·D/B·D ; C·B/B·D
1/3 ; 2/5 ⇔ 1·5/3·5 ; 2·3/3·5 ⇔ 5/15 ; 6/15
Now we can sum/add the equivalent fractions
5/15 + 6/15 = 11/15
11/15 to accomodation and food
15/15 = total
total - (accomodation and food) = other purposes
15/15 - 11/15 = 4/15
So 4/15 its the fraction for other purposes
Answer:
Part A: x^2 + 5x - 8
Part B: 5x^3 + 3x^2 - 6x + 5
Step-by-step explanation:
Part A:
To find the total of side 1 and 2, add the two expressions which represent each side. Combine like terms to simplify.
3x^2 − 2x − 5 + (7x - 2x^2 − 3)
3x^2 - 2x^2 -2x + 7x -5 + -3
x^2 + 5x - 8
Part B:
To solve for the third side of a triangle using its perimeter, subtract the lengths of two of its sides from its perimeter. The perimeter is 5x^3 + 4x^2 − x − 3. Subtract 3x^2 − 2x − 5 and 7x - 2x^2 − 3. The remaining expression is the third side. Combine like terms to simplify.
5x^3 + 4x^2 − x − 3 - (3x^2 − 2x − 5) - (7x - 2x^2 − 3)
5x^3 + 4x^2 - x - 3 - 3x^2 + 2x + 5 - 7x + 2x^2 + 3
5x^3 + (4x^2 -3x^2 + 2x^2) + (-x + 2x - 7x) + (-3 + 5 + 3)
5x^3 + 3x^2 - 6x + 5
Answer:
Step-by-step explanation:
n = 10
Mean, m = (32 + 24 + 30 + 34 + 28 + 23 + 31 + 33 + 27 + 25)/10
= 28.7
From the information given,
Standard deviation, s = 1.8
For a confidence level of 95%, the corresponding z value is 1.96.
We will apply the formula
Confidence interval
= mean ± z ×standard deviation/√n
It becomes
28.7 ± 1.96 × 1.8/√10
= 28.7 ± 1.12
The lower end of the confidence interval is 28.7 - 1.12 = 27.58 years
The upper end of the confidence interval is 28.7 + 1.12 = 29.82 years
Answer:
V = 10.5 ft³
Step-by-step explanation:
Volume formula: length x width x height
We are given all 3, so all we have to do is multiply them all together, When we plug it into the calc, we should get 21/2 or 10.5 ft³ as our answer.
I got (3,0) and (1,2), i don't know if that's what it is asking.