Answer:
x = -3
Step-by-step explanation:
3(x - 6)= -2 + 5(2x + 1)
= 3x - 18 = -2 + 10x + 5
= -18 = -2 + 7x + 5
= -18 = 7x + 3
= -21 = 7x
= -3 = x
= x = -3
Answer:
15 days.
Step-by-step explanation:
46 - 16 = 30.
It falls 2 seconds behind each day so the number of required days
= 30 / 2 = 15.
Answer:
Circumference ≅ 195 mm
Step-by-step explanation:
The circumference of a circle is equal to: ![2*\pi *radius](https://tex.z-dn.net/?f=2%2A%5Cpi%20%2Aradius)
Since
we can replace that in the circumference equation giving us:
![Circumference = \pi *Diameter](https://tex.z-dn.net/?f=Circumference%20%3D%20%5Cpi%20%2ADiameter)
We know Diameter = 622 mm and pi = 3.14 so:
![Circumference = \pi *Diameter = 3.14 * 622 mm = 195.308 mm](https://tex.z-dn.net/?f=Circumference%20%3D%20%5Cpi%20%2ADiameter%20%3D%203.14%20%2A%20622%20mm%20%3D%20195.308%20mm)
Answer:
A
Step-by-step explanation:
The formula that relates current, power and resistance is
![I=\sqrt{\frac{P}{R}}](https://tex.z-dn.net/?f=I%3D%5Csqrt%7B%5Cfrac%7BP%7D%7BR%7D%7D)
Where
I is the current (in amperes)
P is the power (in watts)
R is the resistance (in ohms)
We know P = 500 and R = 25, we plug them into the formula and solve for I:
![I=\sqrt{\frac{P}{R}}\\I=\sqrt{\frac{500}{25}}\\I=\sqrt{20}\\ I=4.47](https://tex.z-dn.net/?f=I%3D%5Csqrt%7B%5Cfrac%7BP%7D%7BR%7D%7D%5C%5CI%3D%5Csqrt%7B%5Cfrac%7B500%7D%7B25%7D%7D%5C%5CI%3D%5Csqrt%7B20%7D%5C%5C%20I%3D4.47)
Correct answer is 4.47 Amperes, or choice A.
Answer & Step-by-step explanation:
To find if they have a constant of proportionality of 12, use the following:
![\frac{y}{x}=12](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7Bx%7D%3D12)
Divide y by the x value (x,y), and if the remaining equation is true, then that table has a constant of proportionality of 12.*
:Done
*Make sure you check all the values in a table. Sometimes only the first values will have k=12, while the others don't.
**The constant of proportionality is represented by <em>k</em>.