X = 44 - y
will compute the number of glasses of tea Fiona can serve based on the number of cups used for lemonade.
1pint=16oz 1/2 is 16 is 8 so Tawny has a total of 40oz each cup holds 5oz so 40/5=8 so Tawny can fill a total of 8 cups
X=-2 and y=3.
The first step we take is to substitute the value for y from the second equation into the first equation:
4x+5(3x+9)=7
This is justified by substitution. The next step is:
4x+5*3x+5*9=7
4x+15x+45=7
This is justified by the distributive property. The next step is:
19x+45=7
This is justified by addition of like terms. The next step is:
19x+45-45=7-45
19x=-38
This is justified by the subtraction property of equality. The next step is:
19x/19 = -38/19
x=-2
This is justified by the division property of equality. The next step is:
y=3(-2)+9
y=-6+9
y=3
This is justified by substitution, multiplication and addition, in that order.
We're looking for C(h), where h is the hundreds of shirts. The fact that they cost "$500 for each additional 100 t-shirt" tells us the slope is 500. Knowing that 1 hundred costs 750, we could use point-slope at this point: (C - 750)/(h - 1) = 500C - 750 = 500h - 500C(h) = 500h + 250 We can check that C(1) = 750 and C(2) = 1250, as we expect. I'll leave it to you to evaluate C(5).
Answer:
1/256
Step-by-step explanation:
See steps below:)
