How to factorize a ^ 2-5A 3

a²-5a³=a²(1-5a)

Every day, the fruit shop delivers 1600 kg of apples, oranges and pears. The weight ratio of apples to oranges is 5:6, and the weight of pears is three tenths of that of oranges
How many kilos of each of the three fruits

Mingyue 95: Hello. The ratio of pears to the total is 6 × 3 / 10 = 1.85 + 6 + 1.8 = 12.8. Apple = 1600 kg × 5 / 12.8 = 625 kg. Orange = 1600 kg × 6 / 12.8 = 750 kg. Pear weight = 1600 kg × 1.8 / 12.8 = 225 kg. Checking calculation: 625 + 750 + 225 = 1600 (total weight 1600) 750 × 3 / 10 =

One third of a number is five less than one half of it. What is the number?

5÷（1/2 -1/3） =30

How many kilometers is a millimeter? How many centimeters is a thousand meters?

A millimeter is a kilometer to the minus sixth power of 10, and a kilometer is a centimeter to the fifth power of 10

The fruit store transported 400 kg of fruit, of which 3 / 8 is apples. How many kg are apples transported?
Ask for the quality of apple, is to ask () please seriously answer!

400 times 3 / 8 = 150 (kg) mass is the physical quantity to describe the inertia of an object. Mass is the only factor to determine the degree of difficulty in changing the motion state of an object under force. Therefore, mass is the physical quantity to describe the degree of difficulty in acceleration of a material. Mass does not change with the change of the shape and spatial position of an object

What's half and two thirds

Seven sixths, or one and one sixth

To know a vector a (2,1), rotate 45 ° anticlockwise around the origin to get B vector, and calculate B vector

Let B = (x, y)
Then x ^ 2 + y ^ 2 = 5
2x+y=√10/2
By solving the above equations, x, y can be obtained
There are two answers
Because the angle between a and X axis is less than 45 degrees, x > 0, y after rotation

When the sixth grade students of a school go skiing, if they rent a 45 seat bus, 15 people in the group have no seats. If they rent the same number of 60 seat buses, one bus is empty
It is known that the rent of 45 seat bus is 220 yuan, and that of 60 seat bus is 300 yuan. 1. How many sixth graders are there in this school? 2. How to rent a car? The most economical way?
No equations

Hello
Number of vehicles (60 + 15) / (60-45) = 5
Number of people 60x (5-1) = 240
45 seat cars cost less per capita
45x4 + 60 = 240 people
So rent four 45 seat cars and one 60 seat car
If you don't understand, you can ask. If it helps, remember to adopt it,
Thank you and wish you progress in your study!

Let a be a positive definite matrix of order n, and prove that the adjoint matrix A * of a is also a positive definite matrix

Because a is a positive definite matrix of order n,
So, there is an invertible matrix C such that a = C * C is transposed
Let the transpose of the inverse of C = D
Then D is reversible, and
The inverse of a = the transpose of D * D
So the inverse of a is also positive definite
The adjoint matrix of a * a is a * = | a | * e
therefore
The inverse of the adjoint matrix A * = | a | * a of a
Where | a | is the determinant of a and is a positive number, that is, a positive number multiplied by a positive definite matrix
Therefore, the adjoint matrix A * of a is also a positive definite matrix

Let's know that the power a of 10 is 20, and the power B of 10 is - 1 of 5, and find the value of the power a of 9 divided by the power 2b of 3

10^a÷10^b=20÷5^-1
10^(a-b)=100=10^2
a-b=2
9^a÷3^2b
=9^a÷9^b
=9^(a-b)
=9^2
=81

How to factorize a ^ 2-5A 3