Assuming that the cost per minute is the same for both months and the plan fee is the same, you can use y=mx+b for this
y is the cost of the phone plan, x is the cost per minute and b is the start cost.
so 19.41=25x+b for the first month
and 45.65=380x+b for the second month
solve both for b you get:
19.41-25x=b and 45.65-380x=b. from this we get
19.41-25x=45.65-380x
solve for x
328x=26.24 and x=0.08
this means the cost per minute is 0.08c/min (answer A)
rewrite the equation to calculate b, and where this time, the x is the number of minutes talked.
y=0.08x+b and plug in one of the two months
45.65=0.08 * 380 + b
Solve for b and b is 15.25
so the final equation is
y=0.08x+15.25 (answer B)
Answer:
The area of the new rectangle is 882 in².
Step-by-step explanation:
Let l be the length and w be the width of the original rectangle,
So, the area of the original rectangle is,
A = l × w ( Area of a rectangle = Length × Width )
Given, A = 72 in²,
⇒ lw = 72 ------- (1),
Since, if the rectangle are changed by a scale factor of 3.5,
⇒ New length = 3.5 l,
And, new width = 3.5 w,
Thus, the area of the new rectangle = 3.5l × 3.5w

( From equation (1) ),
= 882 in²
Answer:
Step-by-step explanation:
5x + 1 is a SUM.
3y is a TERM.
9(5x + 1) is a PRODUCT.
9 is a FACTOR of 9(5x + 1).
5x + 1
---------- is a QUOTIENT.
3y
5 is the COEFFICIENT of x.
Answer:
B. 7 inches
Step-by-step explanation:
The surface area of a cube is denoted by: A = 6s², where s is the side length.
Here, we know that A = 294 in², so plug this into the equation to solve for s:
A = 6s²
294 = 6s²
s² = 49
s = √49 = 7
The answer is thus B, 7 inches.
Answer:
Fraction Form: 1/10
Step-by-step explanation:
Decimal Form: 0.1