Answer:
I think
47
and
55
Step-by-step explanation:
I think that each number is the previous one plus 8;
7
+
8
=
15
15
+
8
=
23
23
+
8
=
31
31
+
8
=
39
So, next will be:
39
+
8
=
47
47
+
8
=
55
Answer:
Step-by-step explanation:
![\frac{\sqrt{6} }{\sqrt{3} -\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B6%7D%20%7D%7B%5Csqrt%7B3%7D%20-%5Csqrt%7B2%7D%20%7D)
→ Multiply the numerator and denominator by ![\sqrt{3} +\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D%20%2B%5Csqrt%7B2%7D)
![\frac{\sqrt{6} }{\sqrt{3} -\sqrt{2} }*\frac{\sqrt{3} +\sqrt{2} }{\sqrt{3} +\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B6%7D%20%7D%7B%5Csqrt%7B3%7D%20-%5Csqrt%7B2%7D%20%7D%2A%5Cfrac%7B%5Csqrt%7B3%7D%20%2B%5Csqrt%7B2%7D%20%7D%7B%5Csqrt%7B3%7D%20%2B%5Csqrt%7B2%7D%20%7D)
→ Simplify
![2\sqrt{3} +3\sqrt{2}](https://tex.z-dn.net/?f=2%5Csqrt%7B3%7D%20%2B3%5Csqrt%7B2%7D)
I would like to use cents
p+n+d=16
1p+5n+10d=122
twice as many nicklese a pennies, n=2p
sub 2p for n
p+2p+d=16
1p+5(2p)+10d=122
simplified
3p+d=16
1p+10p+10d=122
3p+d=16
11p+10d=122
now solve
use subsitution
3p+d=16
minus 3p from both sides
d=16-3p
sub 16-3p for d in other equation
11p+10(16-3p)=122
11p+160-30p=122
160-19p=122
minus 160 both sides
-19p=-38
divide both sides by -19
p=2
sub back
n=2p
n=2(2)
n=4
d=16-3p
d=16-3(2)
d=16-6
d=10
2 pennies
4 nickles
10 dimes
Answer:
see the explanation
Step-by-step explanation:
Let
s ----> the number of students on the trip
t ----> the number of teachers on the trip
we have the equation
![s=25t](https://tex.z-dn.net/?f=s%3D25t)
This linear equation represent a proportional relationship, because the line passes through the origin
The constant of proportionality is equal to the slope of the line
so
![k=25\ \frac{students}{teacher}](https://tex.z-dn.net/?f=k%3D25%5C%20%5Cfrac%7Bstudents%7D%7Bteacher%7D)
That means -----> there are a ratio of 25 students by teacher in the trip
or
The number of students is 25 times the number of teachers in the trip
To solve, multiply 5 by 5 twenty-two times. It will equal 2384185791015625. Then, multiply 5 by 5 thirteen times. It will equal 1220703125. Finally, simplify 2384185791015625/1220703125. You should get 1953125 as your answer. Therefore, 1953125 is the answer.
Edit: 5^22 means 5²² which means to multiply 5 by 5 by 5... for 22 times. It means the exponents. (Power of)