Answer:
Step-by-step explanation:
<u>Given:</u>
- Initial amount of bacteria = 50000
- Growth rate = 2 times a day
<u>Required equation:</u>
<u>Solve for x:</u>
- 400000 = 50000*2^x
- 2^x = 400000/50000
- 2^x = 8
- 2^x = 2^3
- x = 3
After 3 days bacteria numbers will reach 400000
Let x = no. of 10 oz cups sold
Let y = no. of 14 oz cups sold
Let z = no. of 20 oz cups sold
:
Equation 1: total number of cups sold:
x + y + z = 24
:
Equation 2: amt of coffee consumed:
10x + 14y + 20z = 384
:
Equation 3: total revenue from cups sold
.95x + 1.15y + 1.50z = 30.60
:
Mult the 1st equation by 20 and subtract the 2nd equation from it:
20x + 20y + 20z = 480
10x + 14y + 20z = 384
------------------------ subtracting eliminates z
10x + 6y = 96; (eq 4)
Mult the 1st equation by 1.5 and subtract the 3rd equation from it:
1.5x + 1.5y + 1.5z = 36.00
.95x + 1.15y+ 1.5z = 30.60
---------------------------subtracting eliminates z again
.55x + .35y = 5.40; (eq 5)
Multiply eq 4 by .055 and subtract from eq 5:
.55x + .35y = 5.40
.55x + .33y = 5.28
--------------------eliminates x
0x + .02y = .12
y = .12/.02
y = 6 ea 14 oz cups sold
Substitute 6 for y for in eq 4
10x + 6(6) = 96
10x = 96 - 36
x = 60/10
x = 6 ea 10 oz cups
That would leave 12 ea 20 oz cups (24 - 6 - 6 = 12)
Check our solutions in eq 2:
10(6) + 14(6) + 20(12) =
60 + 84 + 240 = 384 oz
A lot steps, hope it made some sense! I hope this helps!! ;D
Answer is HL
YZ = YZ
WY = XY
<X and <W is right angle
<span>if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent</span>
Answer:
42 tps
Step-by-step explanation:
I think
If correct pls give me brainliest
Step-by-step explanation:
Congruent means the same. You can prove that the two triangles are congruent by the measurements and also if they look the same. You can also see if parallelograms are congruent by seeing if they are the same. They also have to mirror the image of the other. Your welcome :)
