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Stells [14]
3 years ago
9

One‌ ‌cable‌ ‌television‌ ‌provider‌ ‌has‌ ‌a‌ ‌$60‌ ‌setup‌ ‌fee‌ ‌and‌ ‌$80‌ ‌per‌ ‌month,‌ ‌and‌ ‌the‌ ‌ second‌ ‌has‌ ‌a‌ ‌$

160‌ ‌equipment‌ ‌fee‌ ‌and‌ ‌$70‌ ‌per‌ ‌month.
Mathematics
1 answer:
labwork [276]3 years ago
7 0

Answer:

the number of months is 10

Step-by-step explanation:

The computation of the number of months is shown below:

Let us assume the number of months be x

So, the equations are

60 + 80x = 160 + 70x

80x - 70x = 160 - 60

10x = 100

x = 10

Hence, the number of months is 10

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What is the constant rate of change ​
GaryK [48]

Answer:

-2

Step-by-step explanation:

up 2 over 1

going up hill

lmk if you have any questions

8 0
3 years ago
Pls help asappppppp it is very important I need it pls
Volgvan

Given:

The graph of a proportional relationship.

To find:

The constant of proportionality, the value of y when x is 24 and the value of x when y is 108.

Solution:

If y is directly proportional to x, then

y\propto x

y=kx             ...(i)

Where, k is the constant of proportionality.

The graph of proportional relationship passes through the point (5,15).

Substituting x=5 and y=15 in (i), we get

15=k(5)

\dfrac{15}{5}=k

3=k

Therefore, the constant of proportionality is 3.

Substituting k=3 in (i) to get the equation of the proportional relationship.

y=3x              ...(ii)

Substituting x=24 in (ii), we get

y=3(24)

y=72

Therefore, the value of y is 72 when x is 24.

Substituting y=108 in (ii), we get

108=3x

\dfrac{108}{3}=y

36=y

Therefore, the value of x is 36 when y is 108.

5 0
3 years ago
Can someone plzzz help me with this (multiple choice ) i have more if anyone is good at this
Paladinen [302]
A: Hope it helps Because…………………… I don’t really know I know it’s a I did this
3 0
2 years ago
15% of customers that come to your
Helen [10]

Answer:

Number of customers (double taco)= 45

Step-by-step explanation:

Giving the following information:

Double taco order rate= 15% = 0.15

Total number of customers= 300

<u>To calculate the number of customers that order two tacos, we need to use the following formula:</u>

Number of customers (double taco)= Double taco order rate*total number of taco

Number of customers (double taco)= 0.15*300

Number of customers (double taco)= 45

7 0
2 years ago
Joe can cut and split a cord of firewood in 3 fewer hours than Dwight can. When they work​ together, it takes them 2 hours. How
aalyn [17]

Answer:

Dwight will take 6 hours to finish the job alone and Joe will take 3 hours to finish the job alone.

Step-by-step explanation:

Let us assume the time taken by Dwight to split a cord of firewood  = K hrs

So, the per hour rate of Dwight  = (\frac{1}{K})

As, Joe uses 3 LESS hours then Dwight.

So, the time taken by Joe to split a cord of firewood  = (K- 3) hrs

So, the per hour rate of Joe  = (\frac{1}{K-3})

Now, when both of them wok together, it takes them 2 hours.

So, the per hour rate of BOTH of them  = (\frac{1}{2})

⇒ Per hour rate of ( Dwight  + Joe)  =(\frac{1}{2} )

\implies (\frac{1}{K}) +  (\frac{1}{K-3}) = (\frac{1}{2})

Now, solving for the value of K , we get:

(\frac{1}{K}) +  (\frac{1}{K-3}) = (\frac{1}{2})\\\implies  \frac{(K-3) + K}{K (K-3)}  = (\frac{1}{2})\\\implies 2(2K -3) = K^2 - 3K\\\implies k^2 - 3K -4K +6 = 0\\\implies K^2 - 7K  + 6=  0\\\implies K^2 - 6K - K  + 6=  0\\\implies K(K-6) -1(K - 6)=  0\\\implies (K-6)(K-1) = 0

Implies either K = 6 Or K = 1

But if K = 1, (K-3)  = 1- 3  = -2 hours would be A CONTRADICTION.

⇒ K  = 6 hours

Hence, Dwight will take 6 hours to finish the job alone and Joe will take (k-3) = (6-3) = 3 hours to finish the job alone.

8 0
3 years ago
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