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lesya [120]
3 years ago
15

Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $24 monthly fee

and charges an additional $.13 for each minute of calls. The second plan has no monthly fee but charges $.17 for each minute of calls. For how many minutes of calls will the cost of the two phone plans be equal
Mathematics
1 answer:
pentagon [3]3 years ago
3 0

Answer:

600 minutes

Step-by-step explanation:

Let's make the two equations equal to each other.

24 + .13x = .17x

Subtract .13x from both sides.

24 = .17x - .13x

24 = .04x

Divide by .04 on both sides to get the value of x.

24/.04 = 600

x = 600

Therefore, for 600 minutes of calls will the cost of the two phone plans be equal.

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Answer:x=1/108 is your answer

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Emma's backpack has a mass of 6523 grams. The total mass of her backpack and Benjamin's backpack together is 9009 grams. What is
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What is the solution to this using substitution method pls show ur work
VARVARA [1.3K]

Answer:

x=-6, y=0

Step-by-step explanation:

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4 0
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Find the point, M, that divides segment AB into a ratio of 4:7 if A is at (-33, 0) and B is at (0, 44)
Bad White [126]

\bf ~~~~~~~~~~~~\textit{internal division of a line segment} \\\\\\ A(-33,0)\qquad B(0,44)\qquad \qquad \stackrel{\textit{ratio from A to B}}{4:7} \\\\\\ \cfrac{A\underline{M}}{\underline{M} B} = \cfrac{4}{7}\implies \cfrac{A}{B} = \cfrac{4}{7}\implies 7A=4B\implies 7(-33,0)=4(0,44)\\\\[-0.35em] ~\dotfill\\\\ M=\left(\frac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \frac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\[-0.35em] ~\dotfill

\bf M=\left(\cfrac{(7\cdot -33)+(4\cdot 0)}{4+7}\quad ,\quad \cfrac{(7\cdot 0)+(4\cdot 44)}{4+7}\right) \\\\\\ M=\left(\cfrac{(-231)+(0)}{11}\quad ,\quad \cfrac{(0)+(176)}{11}\right)\\\\\\ M=\left( -\cfrac{231}{11}~,~\cfrac{176}{11} \right)\implies M=(-21,16)

8 0
3 years ago
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