Answer:
Sonya pays a flat fee of $30 for her phone bill and pays $2 per gigabyte she uses per month. Put Sonya's bill as an equation with <em>d</em> being how many gigabytes she uses per month.
Step-by-step explanation:
We get the flat fee of $30 from "30 + 2d" and the $2 per gigabyte from "30 + 2d" and since we want to find out Sonya's total bill, that's where the + in "30 + 2d" comes from. We want the variable to be <em>d</em> therefore <em>d</em> is how many gigabytes she uses per month.
Answer:
2 , 1\2
Step-by-step explanation:
b² - 4ac = (-5)² - 4*2*2
= 25 - 16
= 9
![x= \dfrac{-[-5] + 3}{2*2} ; x = \dfrac{-[-5]-3}{2*2}\\\\x =\dfrac{5+3}{4} ; x = \dfrac{5-3}{4}\\\\x=\dfrac{8}{4} ;x = \dfrac{2}{4}\\x = 2 ; x = \dfrac{1}{2}](https://tex.z-dn.net/?f=x%3D%20%5Cdfrac%7B-%5B-5%5D%20%2B%203%7D%7B2%2A2%7D%20%3B%20%20x%20%3D%20%5Cdfrac%7B-%5B-5%5D-3%7D%7B2%2A2%7D%5C%5C%5C%5Cx%20%3D%5Cdfrac%7B5%2B3%7D%7B4%7D%20%3B%20x%20%3D%20%5Cdfrac%7B5-3%7D%7B4%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B8%7D%7B4%7D%20%20%3Bx%20%3D%20%5Cdfrac%7B2%7D%7B4%7D%5C%5Cx%20%3D%202%20%3B%20x%20%3D%20%5Cdfrac%7B1%7D%7B2%7D)
<span>See examples for the method to solving literal equations for a given variable: Solve A = bh for b. Since h is multiplied times b, you must divide both sides by h in order to isolate b. Since (c+d) is divided by 2, you must first multiply both sides of the equation by 2</span>
The answer for the question is a
Answer:
37 dimes and 10 nickels
Step-by-step explanation:
let d = # dimes
let n = # nickels
we can set up a system of equations:
n + d = 47
.05n + .10d = 4.2
if we solve the first equation for 'n' we get:
n = 47-d
now we can substitute this in for 'n' in the second equation:
.05(47-d) + .10d = 4.2
2.35 - .05d + .10d = 4.2
2.35 + .05d = 4.2
subtract 2.35 from each side to get:
.05d = 1.85
d = 1.85÷.05
d = 37
if d+n = 47 and d=37 then n = 10
Check:
.05(10) + .1(37) should equal 4.2
.50 + 3.7 = 4.2 [It Checks Out]
