Answer:
x = 1.4 (or 21/15)
Step-by-step explanation:
12x - 15 = 6 - 3x
+3x +3x
-----------------------
15x - 15 = 6
+15 +15
-----------------------
15x = 21
/15 /15
----------------------
x = 21/15 or
x = 1.4
Is the answer to your question 9?
Answer:
![\sqrt{\frac{1}{3} }](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B1%7D%7B3%7D%20%7D)
or
![\frac{\sqrt{3} }{3}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B3%7D)
Step-by-step explanation:
The expression
can be simplified by first writing the fraction under one single radical instead of two.
![\frac{\sqrt{5} }{\sqrt{15} } = \sqrt{\frac{5}{15} }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B5%7D%20%7D%7B%5Csqrt%7B15%7D%20%7D%20%3D%20%5Csqrt%7B%5Cfrac%7B5%7D%7B15%7D%20%7D)
5/15 simplifies because both share the same factor 5.
It becomes ![\sqrt{\frac{5}{15} } = \sqrt{\frac{1}{3} }](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B5%7D%7B15%7D%20%7D%20%3D%20%5Csqrt%7B%5Cfrac%7B1%7D%7B3%7D%20%7D)
This can simplify further by breaking apart the radical.
![\sqrt{\frac{1}{3} } = \frac{\sqrt{1} }{\sqrt{3} } = \frac{1}{\sqrt{3} }](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B1%7D%7B3%7D%20%7D%20%20%3D%20%5Cfrac%7B%5Csqrt%7B1%7D%20%7D%7B%5Csqrt%7B3%7D%20%7D%20%20%3D%20%5Cfrac%7B1%7D%7B%5Csqrt%7B3%7D%20%7D)
A radical cannot be left in the denominator, so rationalize it by multiplying by √3 to numerator and denominator.
![\frac{1}{\sqrt{3} } *\frac{\sqrt{3} }{\sqrt{3} } =\frac{\sqrt{3} }{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Csqrt%7B3%7D%20%7D%20%2A%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B%5Csqrt%7B3%7D%20%7D%20%20%3D%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B3%7D)
Answer:
Step-by-step explanation:
Number of students 10
Problem 1. $625 for the bus hire per friday, So 625*4=$2500
Problem 2. 2500/25=$100 each for the whole 4 weeks
Problem 3.
10 students tickets 220= 2200 for all tickets. The bus, 625/10 = $62.5*4= $250 dollars for the whole 4 weeks for the bus so in all each student pays $470 each
20 students, tickets 220=4400 for all tickets. The bus, 625/20=$31.25*4=$125 for the whole 4 weeks for the bus, so in all each student must pay $345 each
30 students, tickets 220 = 6600 for all tickets. The bus, 625/30 =$20.83*4=$83.32 for the whole 4 weeks for the bus, so in all each student must pay $303.32 each
41 students, tickets $160=$6560 for all tickets. The bus, because you need 2 buses at 625 each so $1250 for both buses 1250/41= 30.49*4=$121.96 for the whole 4 weeks for the bus. So in al each student must pay $281.96 each
Hope this is correct
1. Parenthesis:
(15)8 - 4 + 2 + 1
Multiply:
120 - 4 + 2 + 1
Subtract:
116 + 2 + 1
Add:
119, the answer is A.
2. 8 x 15 = 120
120 / 2 = 60
6 x 15 = 90
90 + 60 = 150
The answer is A.
Hope this helps!