Let
x ----> kilograms of strawberries that Sheldon picks in the morning
y ---> kilograms of strawberries that Sheldon picks in the afternoon
so
we have that
x=y-1 2/5
x=2 1/4 kg
substitute
2 1/4=y-1 2/5
Convert mixed numbers to an improper fraction
1 2/5=1+2/5=7/5
2 1/4=2+1/4=9/4
substitute
9/4=y-7/5
y=(9/4)+(7/5)
y=(45+28)/20
y=73/20 kg
Adds kilograms in the morning and afternoon
x+y=(9/4)+73/20)
x+y=(45/20)+(73/20)
x+y=118/20 kg
Convert to mixed number
118/20=100/20+18/20=5+18/20=5+9/10=5 9/10 kg
therefore
<h2>The answer is 5 9/10 kg</h2>
Answer:
Rate of change is slope. (y = mx + b)
A slope of 5 should be 5/1. (5 over 1)
Step-by-step explanation:
Answer:
The sample proportion is 0.36635
Step-by-step explanation:
A confidence interval has two bounds, a lower bound and an upper bound.
The sample proportion is the halfway point betwen those two bounds, that is, the sum of those bounds divided by 2.
In this problem, we have that:
Lower bound: 0.2931
Upper bound: 0.4396
What is the sample proportion?
(0.2931 + 0.4396)/2 = 0.36635
The sample proportion is 0.36635
Answer:
9) 496 cubic unit
10)10.94
Step-by-step explanation:
in question 9, req volume will be (volume of cube of lenght 10 - that of hole)
hole can be divided into 5 parts,in which 4 have same dimension 6×6×2,and middle part is cube of dimension 6×6×6, total volume will be 4(6×6×2)+6×6×6
=504 cubic.unit
volume of larger cube is 10×10×10=1000 cubic unit
req answer is 1000-504 cubic unit
=496 cubic unit.
10) the ant should walk diagonally to cover minimum distance to reach from A to B, the shortest distance will be when the ant cover the height of lenght 2,then diagonally btwn 4×8, i.e, by using Pythagorean theorem √(16+64)=8.94
now total will be 8.94+2=10.94, it's the shortest possible distance so far!
I'll update each part after solving... wait!
Answer: 
+ 
= 
Step-by-step explanation:
The standard form of equation of a circle is written in the form:
+ 
= 
where a and b are the coordinates of the center and r is the radius.
All we need to do is to covert the given equation into this form, how do we do that?
We will achieve this by using the completing method of solving quadratic equation.
Firstly re - write the equation , that is
- 6x + 
-4y = 12
The next thing is to Complete the square for each of x and y
How do we do this ?
i. multiply the coefficient of x and y by 1/2
ii. square the results
iii. Add the result to both sides of the equation , that is
- 6x + 
- 4y + 
= 12 ++
The next thing is to write the Left hand side of the equation as a perfect square binomial and simplify the Right hand side. That is
+ = 25 , that is
+ =
Which is now in standard form of the equation of a circle.
