Answer:
No, there are 32 students in her class.
Step-by-step explanation:
The ratio to boys and girls is

There are 20 girls in the classroom.





Answer: 51.9 degrees
Step by step explanation:
Sin(71)/35.6=Sin(x)/21.3
21.3Sin(71)=35.6Sin(x)
21.3Sin(71)/25.6=sin(x)
Sin^-1(21.3Sin(71)/25.6)=x
51.87827502 degrees=x
51.9= angle x
Answer:
17822
Step-by-step explanation:
The number that are divisible by 7 between 30 and 500 are as follows :
35, 42,49,.....,497
It will form an AP with first term, a = 35 and common difference, d = 7
Let there are n terms in the AP.
nth term of an AP is given by :

Putting all the values,

Now, the sum of n terms of an AP is given by :
![S_n=\dfrac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Putting all the values,
![S_n=\dfrac{67}{2}[2(35)+(67-1)7]\\\\S_n=17822](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7B67%7D%7B2%7D%5B2%2835%29%2B%2867-1%297%5D%5C%5C%5C%5CS_n%3D17822)
Hence, the sum of the numbers that are divisible by 7 between 30 and 500 is 17822.
Answer:
B
Step-by-step explanation:
(x,y) = P + (a)t
(x,y) = (4,7) + t(3,8)
(x,y) - (4,7) = t(3,8)
(x-4, y-7) = t(3,8)
Answer:
<em>Steve has 54 Duos</em>
Step-by-step explanation:
<u>Proportions</u>
It's given three duos (D) is worth as two trios (T), i.e.:
3D = 2T
Steve has 36 trios, that is, 36T. To find the equivalence to duos, we multiply the given relationship by 18:
18*3D = 18*2T
Operating:
54D = 36T
Therefore, 36 trios are equivalent to 54 duos.
Steve has 54 Duos