11a + b = 51
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11a + 2b = 51
Cho b^2=a.c CMR a^2+b^2/b^2=a/c CMR nếu 2(x+y)=5(y+z)=3(z+x) thì x-y/4=y-z/5Cho a/b=b/c=c/d CMR (a+b+c/b+c+d)^3=a/d3x-2y/4=2z-4x/3=4y-3z/2 CMR x/2=y/3=z/4CMR nếu a/b=c/d thì 7a^2+3ab/11a^2-8b=7c^2+3ab/11a^2-8b=7c^2+3cd/11c^2-8d^2
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51. They seem _____ plenty of money.11A. are having B. to have C. having D. had52. I like Simon, but I think he tends ___too much.A. to talk B. talking C. talk D. is talking53. Ann pretended ______ me as he passed me in the street.A. not seeing B. not to seen C. not see D. not to see54. I happened ______ that news from a magazine.A. known B. to be known C. to know D. know55. He has been on a diet to _____weight.A. have lost B. having lost C. to have lost D. lose56. I don’t know whether ______ fo...
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51. They seem _____ plenty of money.
11
A. are having B. to have C. having D. had
52. I like Simon, but I think he tends ___too much.
A. to talk B. talking C. talk D. is talking
53. Ann pretended ______ me as he passed me in the street.
A. not seeing B. not to seen C. not see D. not to see
54. I happened ______ that news from a magazine.
A. known B. to be known C. to know D. know
55. He has been on a diet to _____weight.
A. have lost B. having lost C. to have lost D. lose
56. I don’t know whether ______ for the job or not.
A. to applying B. apply C. to apply D. applied
57. Do you understand _______?
A. what done B. what doing C. what to do D. what do
58. Can somebody show me ______ the film in this cinema?
A. how to changed B. how change C. how changing D. how to change
59. Don’t forget _____ the letter I gave you.
A. to post B. posting C. post D. posted
60. There was a lot of traffic, but we managed _____ to the airport in time.
A. are gone B. going C. to go D. to be going
61. Jill didn’t afford _____ a car.
A. buy B. to buy C. buying D. bought
62. They had a boy ______ that yesterday.
A. done B. to do C. did D. do
63. We get our mail ______ yesterday.
A. been delivered B. delivered C. delivering D. to deliver
64. We’ve got a new computer in our office. I haven’t learnt how ______ it yet.
A. to operate B. operating C. operate D. be operated
65. We were all too afraid to speak. Nobody dared ______ anything.
A. saying B. being said C. says D. to say
66. Tom hopes _______ a solution soon.
A. to be found B. finds C. to find D. finding
67. You must ______ a lot of people here.
A. to know B. knowing C. know D. known
68. This involves having a good memory and ______ hard.
A. work B. to work C. worked D. working
69. They claimed ______ the problem.
A. have solved B. solve C. solving D. to have solved
70. I’ve been invited to the party but I don’t know ______ or not.
A. whether I should to go B. whether go
C. whether going D. whether I should go
71. Health experts advise ______ breakfast.
A. us not skipped B. us not skipping C. us not to skip D. us not skip
72. I would rather ______ this job.
A. not taken B. not take C. not to take D. not taking
73. I spent some time ______ around the shops in Elizabeth street yesterday.
A. looked B. be looking C. look D. looking
74. She will probably offer ____the stereo for you.
A. to repair B. to be repairing C. repair D. repairing
75. She always proves _______ a true friend.
A. be B. being C. to been D. to be
51. They seem _____ plenty of money.
11
A. are having B. to have C. having D. had
52. I like Simon, but I think he tends ___too much.
A. to talk B. talking C. talk D. is talking
53. Ann pretended ______ me as he passed me in the street.
A. not seeing B. not to seen C. not see D. not to see
54. I happened ______ that news from a magazine.
A. known B. to be known C. to know D. know
55. He has been on a diet to _____weight.
A. have lost B. having lost C. to have lost D. lose
56. I don’t know whether ______ for the job or not.
A. to applying B. apply C. to apply D. applied
57. Do you understand _______?
A. what done B. what doing C. what to do D. what do
58. Can somebody show me ______ the film in this cinema?
A. how to changed B. how change C. how changing D. how to change
59. Don’t forget _____ the letter I gave you.
A. to post B. posting C. post D. posted
60. There was a lot of traffic, but we managed _____ to the airport in time.
A. are gone B. going C. to go D. to be going
61. Jill didn’t afford _____ a car.
A. buy B. to buy C. buying D. bought
62. They had a boy ______ that yesterday.
A. done B. to do C. did D. do
63. We get our mail ______ yesterday.
A. been delivered B. delivered C. delivering D. to deliver
64. We’ve got a new computer in our office. I haven’t learnt how ______ it yet.
A. to operate B. operating C. operate D. be operated
65. We were all too afraid to speak. Nobody dared ______ anything.
A. saying B. being said C. says D. to say
66. Tom hopes _______ a solution soon.
A. to be found B. finds C. to find D. finding
67. You must ______ a lot of people here.
A. to know B. knowing C. know D. known
68. This involves having a good memory and ______ hard.
A. work B. to work C. worked D. working
69. They claimed ______ the problem.
A. have solved B. solve C. solving D. to have solved
70. I’ve been invited to the party but I don’t know ______ or not.
A. whether I should to go B. whether go
C. whether going D. whether I should go
71. Health experts advise ______ breakfast.
A. us not skipped B. us not skipping C. us not to skip D. us not skip
72. I would rather ______ this job.
A. not taken B. not take C. not to take D. not taking
73. I spent some time ______ around the shops in Elizabeth street yesterday.
A. looked B. be looking C. look D. looking
74. She will probably offer ____the stereo for you.
A. to repair B. to be repairing C. repair D. repairing
75. She always proves _______ a true friend.
A. be B. being C. to been D. to be
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Tỉ số của a và b là 
811 thì:
Group of answer choicesa = 8; b = 11a : b = 8 : 11a = 11; b = 8
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Group of answer choicesa = 8; b = 11a : b = 8 : 11a = 11; b = 8
Cho a,b,c là các số thực dương thỏa mãn ab+2bc+2ac7 . Gọi m là giá trị nhỏ nhất của biểu thức Qfrac{11a+11b+12c}{sqrt{8a^2+56}+sqrt{8b^2+56}+sqrt{4c^2+7}}a) Biết m đạt giá trị nhỏ nhất khi (a;b;c)(m;n;p). Tính giá trị của biểu thức P2p+9n+1945mb)Biết m đạt gái trị nhỏ nhất thì a(m/n).c , trong đó m,n là các số nguyên dương và phân số m/n tối giản . Tính giá trị biểu thức S2m+5n
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Cho a,b,c là các số thực dương thỏa mãn ab+2bc+2ac=7 . Gọi m là giá trị nhỏ nhất của biểu thức \(Q=\frac{11a+11b+12c}{\sqrt{8a^2+56}+\sqrt{8b^2+56}+\sqrt{4c^2+7}}\)
a) Biết m đạt giá trị nhỏ nhất khi (a;b;c)=(m;n;p). Tính giá trị của biểu thức P=2p+9n+1945m
b)Biết m đạt gái trị nhỏ nhất thì a=(m/n).c , trong đó m,n là các số nguyên dương và phân số m/n tối giản . Tính giá trị biểu thức S=2m+5n
CMR:nếu a/b = c/d thì (11a+7) / (11a-7b) = (11c+7d) / (11c-7d)
cho hai số a,b nguyên tố cùng nhau . tìm (11a+2b;18a+5b) biệt 11a+2b và 18a+5b không nguyên tố cùng nhau
Gọi d là ước chung của (11a + 2b) và (18a + 5b)
\(\Rightarrow\)(11a + 2b) chia hết cho d và (18a + 5b) chia hết cho d
\(\Rightarrow\)18(11a + 2b) và 11(18a + 5b) chia hết cho d
\(\Rightarrow\)11(18a + 5b) - 18(11a + 2b) = 19b chia hết cho d
\(\Rightarrow\)19 chia hết cho d hoặc b chia hết cho d (1)
Tương tự ta cũng có: 5(11a + 2b) và 2(18a + 5b) chia hết cho d
\(\Rightarrow\)5(11a + 2b) - 2(18a + 5b) = 19a chia hết cho d
\(\Rightarrow\)19 chia hết cho d hoặc a chia hết cho d (2)
Từ (1) và (2) suy ra d là dược của 19 hoặc d là ước chung của a và b
\(\Rightarrow\)d = 19 hoặc d = 1
Vậy ước chung của (11a + 2b) và (18a + 5b) là 19 và 1
PS: Nếu đề bài bảo tìm ước chung lớn nhất thì đó là 19 nhé
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CMR nếu \(\frac{a}{b}=\frac{c}{d}thì\frac{11a+7b}{11a-7b}=\frac{11c+7d}{11c-7d}\)
Cho a,b e N* thỏa mãn số M=( 9a+11b).(5b+11a) chia hết cho 19. Hãy giải thích vì sao M cũng chia hết cho 361