Answer: the monthly rate for the cell phone plan is $45
Step-by-step explanation:
Let m represent the monthly rate that the cellphone company charges.
A cell phone company charges $60 for a cell phone and a monthly rate to use the phone. This means that the total charge for using the phone for x months would be
60 + xm
If Regina will pay $1140 for a 24 month cell phone plan, it means that
1140 = 60 + 24m
24m = 1140 - 60
24m = 1080
m = 1080/24 = 45
Answer:
P = (65 - R) / 60
Step-by-step explanation:
Raul's grandfather is Miguel
Raul's sister is Paula
We are given that Raul’s age is the same as his grandfather’s age minus 60 times the age of his sister. If we write this mathematically, we have that:
R = M - (60*P)
Where R = Raul's age, M = Miguel's age and P = Paula's age
We are then given that Miguel is 65 years old, this means that M = 65
=> R = 65 - 60P
To find Paula's age, we make P the subject of formula, hence:
60P = 65 - R
=> P = (65 - R) / 60
We can use this expression to find Paula's age.
Answer:
Step-by-step explanation:
Given:
∠C ≅ ∠E
Statements Reasons
1). ∠C ≅ ∠E 1). Given
2). ∠ABC ≅ ∠DBE 2). Vertically opposite angles
3). ΔABC ~ ΔDBE 3). By AA postulate of similarity.
-3x + 6y + 5 = -7
<u> -5 -5</u>
-3x + 6y = -12
-3x + 3x + 6y = -12 + 3x
<u>6y</u> = <u>-12 + 3x</u>
6 6
y = -2 + 1/2x
-3x + 6(-2 + 1/2x) = -12
-3x - 12 + 3x = -12
-3 + 3x - 12 = -12
0x - 12 = -12
<u> +12 +12</u>
<u>0x</u> = <u>0</u>
0 0
x = 0
-3(0) + 6y = -12
0 + 6y = -12
<u>+0 +0</u>
<u>6y</u> = <u>-12</u>
6 6
y = -2
(x, y) = (0, -2)
Answer:
x=-20
Step-by-step explanation:
1. Expand 3(x+8) : 3x+24
2.Expand -3(7-1/4x): -21*3/4x
3. 3x+24= -21*3/4x
4.<em>Subtract 24 from both sides</em>
3x+24-24= -21*3/4x-24
5.3x= 3/4x-45
6.<em>Subtract 3/4 from both sides</em>
3x-3/4= 3/4x-45-3/4
7.9/4x=-45
8<em>.Multiply both sides by 4</em>
9/4x*4=-45*4
9.9x=-180
10.<em>Divide both sides by 9</em>
9x/9=-180/9
11. x=-20
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