x+15=194
Tính nhanh 194 x 6 x 5 - 10 x 60 x3 - 68 x 15 = ?
194x6x5-10x60x3-68x15
=30x194-30x60-2x34x15
=30x194-30x60-30x34
30x(194-60-34)
=30x100
=3000
194 x 6 x 5 - 10 x 60 x 3 - 68 x 15
= 194 x 30 - 30 x 60 - 34 x 2 x15
= 194 x 30 - 30 x 60 - 34 x 30
= 30 x ( 194 - 60 - 34 )
= 30 x 100 = 3000
194 x 6 x 5 - 10 x 60 x 3 - 68 x 15
= 194 x 30 - 60 x 30 - 34 x 2 x 15
= 194 x 30 - 60 x 30 - 34 x 30
= ( 194 - 60 - 34 ) x 30
= 100 x 30
= 3000
tính bằng hai cách
786 x ( 32 + 68 )
2904 x 15 + 2904 x 35
436 x 72 - 436 x 42
194 x ( 87 - 7 )
3332 : ( 4 x 49 )
72 : 9 : 8
( 15 x 24 ) : 6
25 x ( 36 : 9 )
C1:
a. 786 x ( 32 +68)
= 786 x 100
= 78600
b. 2904 x 15 + 2904 x 35
= 43560 + 101640
= 145200
c.436 x 72 - 436 x 42
= 31392 - 18312
= 13080
d.194 x (87-7)
= 194 x 80
=15520
e.3332 : (4x49)
= 3332 : 196
= 17
f. 72 : 9 : 8
= (72 : 9) :8
= 1
g. (15 x 24) : 6
= 360 :6
= 60
m. 25 x(36 :9)
= 25 x 4
= 100
Cách 2:
a.786 x 32 + 786 x 68
= 25152 + 53448
= 78600
b. 2904 x ( 15 + 35)
= 2904 x 50
= 145200
c.436 x (72 -42)
= 436 x 30
= 13080
d.194 x 87 - 194 x7
= 16878 - 1358
= 15520
e. 3332 : (4 x 49)
= 3332 : 4 : 49
= 833 : 49 = 17
f. 72 : 9 :8
= 72 : (9 x8)
= 72 : 72
=1
g. (15 x 24) :6
= 15 x (24 :6)
= 15 x 4
= 60
m. 25 x (36 :9)
= ( 25 x36 ):9
= 900 : 9
=100
15+48+194+165+152+124...+124+12+7456+12=12978
So sánh A:`2/3`+`14/15+`34/35`+`62/63`+`98+99`+`142/144`+`194/195`
Sửa đề: \(98+99+\dfrac{142}{144}\) \(\rightarrow\dfrac{98}{99}+\dfrac{143}{144}\)
Giải:
\(A=\dfrac{2}{3}+\dfrac{14}{15}+\dfrac{34}{35}+\dfrac{62}{63}+\dfrac{98}{99}+\dfrac{143}{144}+\dfrac{194}{195}\)
\(A=\left(1-\dfrac{1}{3}\right)+\left(1-\dfrac{1}{15}\right)+\left(1-\dfrac{1}{35}\right)+...+\left(1-\dfrac{1}{195}\right)\)
\(A=7-\left(\dfrac{1}{3}+\dfrac{1}{15}+\dfrac{1}{35}+...+\dfrac{1}{195}\right)\)
\(A=7-\left(\dfrac{1}{1.3}+\dfrac{1}{3.5}+\dfrac{1}{5.7}+...+\dfrac{1}{13.15}\right)\)
\(A=7-\left[\dfrac{1}{2}.\left(\dfrac{2}{1.3}+\dfrac{2}{3.5}+\dfrac{2}{5.7}+...+\dfrac{2}{13.15}\right)\right]\)
\(A=7-\left[\dfrac{1}{2}.\left(\dfrac{1}{1}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+...+\dfrac{1}{13}-\dfrac{1}{15}\right)\right]\)
\(A=7-\left[\dfrac{1}{2}.\left(\dfrac{1}{1}-\dfrac{1}{15}\right)\right]\)
\(A=7-\left[\dfrac{1}{2}.\dfrac{14}{15}\right]\)
\(A=7-\dfrac{7}{15}\)
\(A=\dfrac{98}{15}\)
Chúc bạn học tốt!
Tìm x biết : X * 194 - X * 93 - X = 1200
\(x\cdot194-x\cdot93-x\cdot1=1200\)
\(x\left(194-3-1\right)=1200\)
\(100x=1200\)
\(x=12\)
x * 194 - x* 94 - x = 1200
x* 194 - x*93 - x *1 = 1200
x* ( 194 - 93 -1 ) = 1200
x * 100 = 1200
x= 1200 : 100
x= 12
\(\Leftrightarrow194x-93x-x=1200\)
\(\Leftrightarrow\left(194-93-1\right)x=1200\)
\(\Leftrightarrow100x=1200\)
\(\Leftrightarrow x=12.\)
119 + x =194
1293/19 x 194/2 = .....
\(\dfrac{1293}{19}\times\dfrac{194}{2}=\dfrac{1293\times194}{19\times2}=\dfrac{250842}{38}\)
Giải pt: \(\sqrt{x-7}\) + \(\sqrt{9-x}\) = 3x2- 48x +194
ĐKXĐ: \(\left\{{}\begin{matrix}x-7>=0\\9-x>=0\end{matrix}\right.\)
=>7<=x<=9
\(\sqrt{x-7}+\sqrt{9-x}=3x^2-48x+194\)
=>\(\sqrt{x-7}-1+\sqrt{9-x}-1=3x^2-48x+192\)
=>\(\dfrac{x-7-1}{\sqrt{x-7}+1}+\dfrac{9-x-1}{\sqrt{9-x}+1}=3\left(x^2-16x+64\right)\)
=>\(\dfrac{x-8}{\sqrt{x-7}+1}-\dfrac{x-8}{\sqrt{9-x}+1}-3\left(x-8\right)^2=0\)
=>\(\left(x-8\right)\left(\dfrac{1}{\sqrt{x-7}+1}-\dfrac{1}{\sqrt{9-x}+1}-3x+24\right)=0\)
=>x-8=0
=>x=8(nhận)
Câu 7. Giả sử ô A1 có dữ liệu 169, ô A6 có dữ liệu -194. Trung bình cộng của 2 ô đó có kết quả là:
A -12.5
B 12.5
C -12.6
D 15