Answer:
9 years
Step-by-step explanation:
A= 17655 + 1230Years
B= 15900+1425years
A=B: 1755=195years
years= 1755/195
years= 9
Answer:
Number of students in vans =15 and bus =46
Step-by-step explanation:
use variables for the vans and buses
let x= vans and y=buses
Now solve the 2 equations simultaneously
<em><u>remember</u></em><em><u> </u></em><em><u>to</u></em><em><u> </u></em><em><u>number</u></em><em><u> </u></em><em><u>your</u></em><em><u> </u></em><em><u>equations</u></em>
6x+7y=412..........1
6x+9y=504.........2
make x the subject of one equation
and label it equation 3
6x=412—7y
subs 3 into 2
subs 4 into 1
Therefore there are 15 students in each van and 46 students in each bus.
Answer:
See explanation
Step-by-step explanation:
Since 12 is 3 times greater than 4, you simply need to divide all of the ingredients by 3.
Cactus chunks: 4 1/2 divided by 3 is 3/2 or 1 1/2
Crushed Tumbleweed: 8/3 is just 8/3 or 2 2/3
Cactus Juice: 10/4 or 2 1/2
Lizard eggs: 4
Crumbled Flower Petals: 7/4 or 1 3/4
Water: 10/3 or 3 1/3
Hope this helps!
Easy tip: just multiply seven and four together!
7•4=28
So both seven and four fit into 28
(9^x) - 3 = 2*3^x
(9^x) - 3 - (2*3^x) = (2*3^x) - (2*3^x)
(9^x) - (2*3^x) - 3 = 0
(3^2)^x - 2*(3^x) - 3 = 0
3^(2x) - 2*(3^x) - 3 = 0
3^(x*2) - 2*(3^x) - 3 = 0
(3^x)^2 - 2*(3^x) - 3 = 0
z^2 - 2*z - 3 = 0 ............ let z = 3^x
(z - 3)(z + 1) = 0
If z-3 = 0, then z = 3 when we isolate z
If z = 3, and z = 3^x, then
z = 3
3^x = 3
3^x = 3^1
x = 1
which is a solutin in terms of x
If z+1 = 0 then z = -1
If z = -1 and z = 3^x, then there are NO solutions for this part of the equation
The quantity 3^x is never negative no matter what the x value is
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Answer: x = 1
