There were 1050 science and technology books and literature and art books in the school library. To make the ratio of science and technology books to Literature and art books 4:3, we need to buy another 56 science and technology books, How many original science and technology books?

There were 1050 science and technology books and literature and art books in the school library. To make the ratio of science and technology books to Literature and art books 4:3, we need to buy another 56 science and technology books, How many original science and technology books?


1050 + 56 = 1106
4 + 3 = 7
1106 divided by 7 = 632
632-56 = 576
Answer: original science and technology book 576



If the ratio of science and technology books to Literature and art books is 3:5, then literature and art books are 25% less than science and technology books______ (judge right or wrong)


(5-3) △ 3, = 2 △ 3, = 23; a: there are 23 more literature books than science and technology books



If the ratio of science and technology books to Literature and art books is 3; 5, then literature and art books are a few percent less than science and technology books


2/5



Given the first n terms and Sn of sequence an = n-5an-85 (1), find the general formula of an (2) let BN = log5 / 6 × 1-a1 / 18 + log5 / 6 × 1-a2 / 18 +... + log5 / 6 × 1-an / 18, find the first n terms and TN of sequence 1 / BN


Sn=n-5an-85 (1)
S(n+1)=n+1-5a(n+1)-85 (2)
(2) (1) it is concluded that 6A (n + 1) = 1 + 5An
That is, a (n + 1) - 1 = (5 / 6) (an-1)
From S1 = A1 = 1-5a1-85, A1 = - 14
So {an-1} is an equal ratio sequence of the first term - 15, common ratio 5 / 6
So an = (- 15) * (5 / 6) ^ (n-1) + 1
(2)bn=log5/6(5/6*(5/6)^0)+log5/6(5/6*(5/6)^1)+log5/6(5/6*(5/6)^2)+...+log5/6(5/6*(5/6)^(n-1))
=1+0+1+1+1+2+1+3+...+1+(n-1)
=n+(0+n-1)*n/2
=n(2+n-1)/2
=n(n+1)/2
1/bn=2/(n(n+1))=2[1/n-1/(n+1)]
Tn=2[1-1/2+1/2-1/3+,.+1/n-1/(n+1)]
=2[1-1/(n+1)]
=2n/(n+1)



If a room is paved with 30cm long square bricks, 100 pieces are needed. If a room is paved with 50cm long square bricks, how many pieces are needed?


Let x block be required, 30 × 30 × 100 = 50 × 50 × x, & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; 2500x = 900 × 100, & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; 2500x = 90000, & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; X = 36; a: 36 blocks are required



Fifty six nationalities, fifty-six flowers, fifty-six brothers and sisters are one family


The unity of 56 nationalities is written by means of metaphor



Sinacosa is equal to 1 / 8, which is obtained by finding (COSA minus Sina) to the power of 2


Uncle teaches you coordinate method
y/r*x/r=1/8
xy/r^2=1/8
(x/r-y/r)^2=(x-y)^2/r^2=(x^2+y^2-2xy)/r^2=(r^2-r^2/4)/r^2=3/4



The length of three sides of a triangle is 2.5cm, 4cm and 3cm respectively; the length of three sides of another triangle is 3.2cm, 2.4cm and 2cm respectively. Are the two triangles similar? Why?


Yes, because 3.2 / 4 = 2.4 / 3 = 2 / 2.5 = 4 / 5, that is, the three sides are proportional, so the triangles are similar



Simple high school math problem
3. If ≠ KX + 2 holds for all x ≥ 5, then the value range of K is________
step
If (X-5) ≠ KX + 2 holds for all x ≥ 5, then the value range of K is________
There should be a part of the value range
How to ask for that part


The original formula can be reduced to X-5, which is not equal to (KX + 2) ^ 2
Then X-5 is not equal to
k^2x^2+4+4kx
It can be concluded that (KX) ^ 2 + (4k-1) x + 9 is not equal to 0
When k = 0, it is not rounding
When k is not equal to 0 and K ^ 2 > 0, if the opening of the image is upward and not equal to 0
There must be its minimum value > 0, that is, (4ac-b ^ 2) / 4A > 0
The solution is K1 / 10



Find the increment and differential of y = x ^ 3-x at point x0 = 2 when (1) △ x = 0.1 and (2) △ x = 0.01


Y = x & # 179; - X so y '= 3x & # 178; - 1, where x0 = 2, the derivative value is 11y0 = 2 & # 179; - 2 = 6dy = y ` dx1) Δ y = (2.1 & # 179; - 2.1) - Y0 = 7.161-6 = 1.161dy = 11dx = 1.12) Δ y = (2.01 & # 179; - 2.01) - Y0 = 6.110601-6 = 0.110601dy = 11dx = 0.11