Which is equivalent to ∜9^1/2?
2 answers:
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Answer:
$2 for soda and $1.5 for a bottle of water
Step-by-step explanation:
You start by turning both situations into an equation
Let x represent bottles of water and y represent sodas
Saturday:
Sunday:
You then want to start by cancelling out the x in this equation, to do that you want 40x to become -50x so you:
50÷40=1.25
You then times the whole equation by -1.25
40x+25y=110
×-1.25
-50x+-31.25y= -137.5
You then add this equation by Sunday's equation
50x+45y=165
-50x+-31.25y=-137.5
13.75y=27.5
You now want to make the co-efficient of y a whole number (for example 15) so you divide 15/13.75=1.09 recurring
13.75y=27.5
×1.09 recurring
15y=30
15y/15=30/15
y=2
Now that we know y = 2
We can use either Saturday or Sunday's equation to figure out the value of
Let's use Sunday's:
50x+45×2=165
50x+90=165
50x+90-90=165-90
50x/50=75/50
x=1.5
Let's check our answer with Saturday's equation
40×1.5+25×2=110
This equation is correct
Therefore the prices for each beverage option is $1.5 for a bottle of water and $2 for a soda
Answer:
The solution to this system of equations is:
- B = 28
- T = 19
Step-by-step explanation:
We are given that Jill has 47 bugs and counts a total 320 legs.
We can concur that by adding the total number of butterflies and the total number of tarantulas, we will get 47 bugs.
We are also told that T is tarantulas and B is butterflies.
Then, we also know that butterflies have 6 legs and tarantulas have 8 legs. So, for every tarantula, we get a multiple of 8 and for butterflies, we get a multiple of 6. This gives us a new equation:
Now, we can set up a system of equation.
Using the first equation, we can solve for B.
Then, we can substitute this value of B into the second equation and solve for T.
Finally, we can substitute this value of T into the first equation to solve for B.
Therefore, the solution to this system of equations is:
- B = 28
- T = 19