Answer:
943
Step-by-step explanation:
21| 1000
| ----------
47 | 13
21-13=8
1000+8=1008
21|9999
|---------
476|3
9999-3=9996
1008,1029,...,9996
let n be number of terms
a=1008,d=21,l=9996
9996=1008+(n-1)21
9996-1008=(n-1)21
8988=(n-1)21
n-1=8988/21
n-1=428
n=428+1=429
again 15|1000
|---------
66|10
15-10=5
1000+5=1005
15|9999
| ---------
666|9
9999-9=9990
1005,1020,...,9990
a=1005,d=15,l=9990
let n be number of terms.
9990=1005+(n-1)15
9990-1005=(n-1)15
8985=(n-1)15
n-1=8985/15
n-1=599
n=599+1=600
21=3×7
15=3×5
L.C.M.=3×5×7=105
105)1000(9
-945
____
55
105-55=50
1000+50=1050
105)9999(
-945
---------
549
- 525
-------
24
-------
9999-24=9975
1050,1155,...,9975
let n be number of terms.
d=105
l=a+(n-1)d
9975=1050+(n-1)105
9975-1050=(n-1)105
8025=(n-1)105
n-1=8925/105
n-1=85
n=85+1=86
so there are 86 multiples of 21 and 15
(A∪B)=A+B-(A∩B)
multiples of 21 or 15=429+600-86=1029-86=943
Answer:
m= 1.1
Step-by-step explanation:
Given the question as 7:( 4/11 m)=56:3.2 this can be written as;
7: 4/11 m = 56 /3.2
7/4/11m = 560/32 ------------------perform cross multiplication
77*32=560*4/11m
224=2240/11 m
224=203.636 m--------------divide both sides by 203.636 to get m
224/203.636 = 203.636m/203.636
1.1 =m
Testing the value of m in the question
7: (4/11 *1.1) = 56:3.2
7:0.4 = 56 :3.2
70/4 = 560/32
17.5 =17.5
Answer:
n=-3
Step-by-step explanation:
What is the lesson? We are aware that the 2 triangles are congruent, they also tell us what the two segments are equal to. Your best is to set up an equation making the segments equal to eachother to find the value of segment WK
Correct answer should be= 1.5 hours.
