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Dmitriy789 [7]
3 years ago
14

Khalil signed up for a plan with a cable television company where he pays a monthly fee of $65.00, plus an additional $4.99 for

any movies he rents through the company. Which equation represents Khalil's monthly cable fee, c, if he rents a certain number of movies, m?
A.
c = 65m + 4.99
B.
c = 65m - 4.99
C.
c = 4.99m + 65
D.
c = 4.99m - 65
HELP
Mathematics
1 answer:
seropon [69]3 years ago
4 0

Answer:

The answer would be C

Step-by-step explanation:

Since m represents the number of movies he is renting, it's the changing factor of the equation, so that eliminates both A and B. Now since it's 65.00 plus the amount of money he would using renting the movies, that eliminates answer D. Hope this helps!

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In an arithmetic​ sequence, the nth term an is given by the formula an=a1+(n−1)d​, where a1 is the first term and d is the commo
PilotLPTM [1.2K]

Answer:

105th term of given series is

a_n=\dfrac{105}{2}

Step-by-step explanation:

Given series is

\dfrac{1}{2},\ 1,\ \dfrac{3}{2},\ 2,\ \dfrac{5}{2}.....

As we can see,

\textrm{First term},a_1=\dfrac{1}{2}

Also,

1-\dfrac{1}{2}=\dfrac{3}{2}-1=2-\dfrac{3}{3}=.....=\dfrac{1}{2}

hence, we can say given series is in arithmetic progression,

with common difference,

d=\ \dfrac{1}{2}

As given in question the nth term in A.P is given by

a_n=a_1+(n-1)d

since we have to find the 105th term, so we can write

   a_{105}=\dfrac{1}{2}+(105-1)\dfrac{1}{2}

              =\dfrac{1}{2}+\dfrac{104}{2}

              =\dfrac{105}{2}

Hence, the 105th term of given series of A.P is \dfrac{105}{2}.

7 0
3 years ago
A store is having a sale on jelly beans and trail mix. For 8 pounds of jelly beans and 3 pounds of trail mix, the total is $18.
topjm [15]

Answer: each pound of jelly beans costs 1.5 dollars, or $1.50, and each pound of trail mix costs 2 dollars, or $2

Step-by-step explanation:

j = jellybeans

t = trail mix

2j + 5t = 13

8j + 3t = 18

To solve this, we want to isolate a variable, and solve for the other. Let's do that with each equation.

2j + 5t = 13

2j = 13 - 5t

j = (13 - 5t) / 2

8j + 3t = 18

8j = 18 - 3t

j = (18 - 3t) / 8

Now that we have isolated the variable j in each equation, we can set the two right-sides equal to each other, and solve for t.

(13 - 5t) / 2 = (18 - 3t) / 8

By multiplying both sides by 8, this becomes simpler to look at.

8 * (13 - 5t) / 2 = 18 - 3t

4 * (13 - 5t) = 18 - 3t

4 * 13 - 4 * 5t = 18 - 3t

52 - 20t = 18 - 3t

52 = 18 + 17t

34 = 17t

34 / 17 = t

t = 2

Now that we have solved for t, we can trivially plug it into one of the other equations to solve for j. Let's choose the first equation, as it doesn't matter which we choose.

t = 2

2j + 5t = 13

2j + 5 * 2 = 13

2j + 10 = 13

2j = 13 - 10

2j = 3

j = 1.5

So, each pound of jelly beans costs 1.5 dollars, or $1.50, and each pound of trail mix costs 2 dollars, or $2.

6 0
2 years ago
Josephine is taking a college course, and her professor bases the course grade on the average of 2 tests taken in the semester.
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b = 2A - a

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6 0
3 years ago
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To make a greeting card, Bryce used 1/8 sheet of red paper, 3/8 sheet of green paper, and 7/8 sheet of white paper. How many she
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11/8 or 1 3/8 or 1.375
6 0
2 years ago
Sum 2 5/8 + 4 1/8 = ?
Lostsunrise [7]

Answer:

6 6/8 OR 6 3/4

Step-by-step explanation:

2 5/8 +4 1/8

6 6/8

SImplify= 6 3/4

4 0
3 years ago
Read 2 more answers
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