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77julia77 [94]
3 years ago
11

Jessica rented 3 movies for a total of $13.20 the movies Cost the same amount to rent what amount in dollars and cents did Jessi

ca pay to rent each movie?
Mathematics
1 answer:
IceJOKER [234]3 years ago
6 0

There are 3 movies. The total to rent all 3 is $13.20. To find the price of each movie, divide the total amount by 3.

Let M = amount per movie

M = (13.20)/3

M = $4.40

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Eugene walked all the way to school at 3 mph then realized she forgot her math book (how could she?!), so she ran back at 7 mph.
Fynjy0 [20]

\text{Answer: }1\frac{23}{40}\ miles\text{ far she live from school.}

Explanation:

Since we have given that

Speed at which Eugene walked all the way to school = 3 mph

After realizing that she forgot her math book, she ran back

Speed at which Eugene walked back to her house = 7 mph

Let the distance between her house and her school be x

According to question,

\frac{x}{3}+\frac{x}{7}=\frac{45}{60}\\\\\frac{7x+3x}{21}=\frac{3}{4}\\\\\frac{10x}{21}=\frac{3}{4}\\\\x=\frac{3\times 63}{4\times 10}=\frac{63}{40}=1\frac{23}{40}\ miles.

Hence,

1\frac{23}{40}\ miles\text{ far she live from school.}

8 0
3 years ago
There are six households in a rural community. Each household earns $40,000 per year. Suppose that a new resident builds a mansi
dusya [7]

Answer:

Median income has not changed

Mean income has increased

Step-by-step explanation:

Initial number of houses = 6

Earning per household = $40,000

The initial mean :

$(40,000 * 6) / 6 = $40000

Initial median :

40000, 40000, 40000, 40000, 40000, 40000

= 1/2(n+1)th term,

Median = 40000

A 7th household earns 4,000,000

Mean = ((40000*6) + 4,000,000) / 7 = $605,714

Median = 1/2(n+1)th term

40000, 40000, 40000, 40000, 40000, 40000, 4000000

Median = 4th term = 40000

7 0
3 years ago
−20 ≤ 59(F−32) ≤ −15
lubasha [3.4K]
We take the value of F in the inequality by taking the inequalities in group. Let the first group be:

(1)    -20 ≤ 59(F - 32)

Then, the second group would be,
(2)     59(F - 32) ≤ - 15

Calculating for the values of F,

(1)     -20 ≤ 59F - 1888
          1888 - 20 ≤ 59F
              1868 ≤ 59F
                 F ≥ 31.66

(2)     (59)(F - 32) ≤ - 15
             59F - 1888 ≤ -15
             59F ≤ 1873
                F ≤ 31.75

The values of F are therefore,
               31.66 ≤ F ≤ 31.75

7 0
3 years ago
HELP ME PLEASEE
Nina [5.8K]

Answers:

x = -8/5 or x = 8/5

Sum of the first ten terms where all terms are positive = 4092

========================================================

Explanation:

r = common ratio

  • first term = 4
  • second term = (first term)*(common ratio) = 4r
  • third term = (second term)*(common ratio) = (4r)*r = 4r^2

The first three terms are: 4, 4r, 4r^2

We're given that the sequence is: 4, 5x, 16

Therefore, we have these two equations

  • 5x = 4r
  • 4r^2 = 16

Solve the second equation for r and you should find that r = -2 or r = 2 are the only possible solutions. If r = -2, then 5x = 4r solves to x = -8/5. If r = 2, then 5x = 4r solves to x = 8/5.

-----------------

To find the sum of the first n terms, we use this geometric series formula

Sn = a*(1 - r^n)/(1 - r)

We have

  • a = 4 = first term
  • r = 2, since we want all the terms to be positive
  • n = 10 = number of terms to sum up

So,

Sn = a*(1 - r^n)/(1 - r)

S10 = 4*(1 - 2^10)/(1 - 2)

S10 = 4*(1 - 1024)/(-1)

S10 = 4*(-1023)/(-1)

S10 = 4092

8 0
2 years ago
The 24 students in Ms.Lee class each collected an average of 18 cans for recycling the 21 students in mr galvez class each colle
puteri [66]
This is a case for multiplication of #Students by#Cans and then subtract.

Ms Lee.........
24 students × 18 cans = 432
Mr Galvez...21 students × 25 cans = 525

..525
- 432
= 093

Mr Galvez' s class collected 93 more cans than
6 0
3 years ago
Read 2 more answers
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