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-Dominant- [34]
4 years ago
12

Carli and Angela share a cell phone plan and split the bill each month. Last month, their total bill was $109. Carli went over h

er data limit on her phone, so her share of the bill was $15 more than Angela's to account for the overage charge. Which system of equations represents this situation?
Mathematics
2 answers:
Vikentia [17]4 years ago
8 0
For this case, the first thing we must do is define variables.
 We have then:
 x = Carli's bill
 y = Angela's bill
 We have then:
 "their total bill was $ 109"
 x + y = 109
 "Carli went over her data limit on her phone, so her share of the bill was $ 15 more than Angela's"
 x = y + 15
 Answer:
 
A system of equations that represents this situation is:
 
x + y = 109
 
x = y + 15
Taya2010 [7]4 years ago
8 0

Answer:

c+a=109

c=a+15

Step-by-step explanation:

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B

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cos(a) is AC/AB and sin(B) is AC/AB

6 0
3 years ago
948÷ 10 to the 3rd power
Arturiano [62]
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5 0
3 years ago
4 to the 8th power divided by 4 to the 5th power
Natasha2012 [34]

Alright, 4 to the 8th power is 4x4x4x4x4x4x4x4 which ends up as 65,536.

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6 0
3 years ago
Melvin and Frank caught a lizard in their backyard. Its body is 178 long, and its tail
damaskus [11]

Answer:

286 cm.

Step-by-step explanation:

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3 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
Kitty [74]

Answer:   (-2, 5) and (2, -3)

<u>Step-by-step explanation:</u>

Graph the line y = -2x + 1 (which is in y = mx + b format) by plotting the y-intercept (b = 1) on the y-axis and then using the slope (m = -2) to plot the second point by going down 2 and right 1 unit from the first point:

        y - intercept = (0, 1)            2nd point = ( -1, 1).

Graph the parabola y = x² - 2x - 3 by first plotting the vertex and then plotting the y-intercept (or some other point):

y = x^2-2x-3\quad \rightarrow \quad a=1,\ b=-2,\ c=-3\\\\\text{axis of symmetry:}\ x = \dfrac{-b}{2a}\ \longrightarrow \ x=\dfrac{-(-2)}{2(1)}=\dfrac{2}{2}=1\\\\\text{y-value of vertex:}\ f(1) = (1)^2-2(1)-3\quad \longrightarrow \quad y = 1 - 2 - 3=-4\\\\\text{y-intercept:}\ f(0)= (0)^2-2(0)-3\ \longrightarrow \ y=0 - 0 - 3 = -3 \\

         vertex = (1, -4)                2nd point (y-intercept) = (0, -3)


<em>see attached</em> - the graphs intersect at two points:  (-2, 5) and (2, -3)


8 0
3 years ago
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