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Leto [7]
3 years ago
8

Help please 25 pts. I will mark. One month Justin rented 2 movies and 5 video games for a total of $32. The next month he rented

8 movies and 3 video games for a total of $43. Find the rental cost for each movie and each video game.
Mathematics
1 answer:
umka21 [38]3 years ago
6 0

Answer:

The movie costs $3.50 and the video games cost $5.

Step-by-step explanation:

a = 1 movie

b = 1 video game

2a + 5b = $32

8a + 3b = $43

2a x -4 = -8a

5b x -4 = -20b

32 x -4 = -128

   8a + 3b = $43

-   8a + 20b = $128

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

-17b = -85

17b = 85

/17     /17

b = 5

2a + 5(5) = 32

2a + 25 = 32

-       25 = -25

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

2a = 7

/2 = /2

a = 3.5

a = $3.50

b = $5

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Hey i need some help :)
melamori03 [73]

Answer:

[See Below]

Step-by-step explanation:

\boxed{Hey~There!}

__________________________________________________________

\boxed{Solve~-3x

  • Rearrange the equation by subtracting what is to the right of the greater than sign (≤, ≥) from both sides of the inequality:

                 -3*x-(9)

  • Pull out like factors:  

                -3x - 9  =   -3 * (x + 3)

  • Divide both sides by -3:
  • Remember to flip the inequality sign:

                 

  • Subtract 3 from both sides:

                 x > -3

\boxed{The~answer~is: x > -3}

\boxed{The~answer~is: C}

__________________________________________________________

Hope~this~helps~Mate!\\-Your~Friendly~Answerer,~Shane  ^-^

8 0
3 years ago
A plant manufactures part whose lengths are normally distributed with a mean of 16.3 centimeters and a standard deviation of 2.5
EastWind [94]

The probability that the plant manufactures a part between 10.8 and 12.8 centimeters 13%

<h3>How to find the probability that the part is between 10.8 and 12.8 centimeters</h3>

The probability is solved z scores, this measures the amount of standard deviation sample X is from mean. the formula is below

z = (X - μ) / σ

<u>Definition of variables</u>

mean, μ = 16.3 centimeters

standard deviation, σ = 2.5 centimeters

X = 10.8 and 12.8 centimeters

z score, z

substituting into the formula

for X = 12.8 centimeters

=  (X - μ) / σ

= (12.8 - 16.3) / 2.5

= -1.4

the p value for z of -1.4 = 0.161513

for X = 10.8 centimeters

=  (X - μ) / σ

= (10.8 - 16.3) / 2.5

= -2.2

the p value for z of -2.2 = 0.027807

the probability is calculated as below

0.161513 - 0.027807= 0.133706

= 0.13

=13%

Learn more about standard deviation at:

brainly.com/question/28948351

#SPJ1

8 0
1 year ago
This is the third time and i a really annoyed as i am having my time wasted and points
muminat

Answer: A) 20.9 ; B) 34years

Step-by-step explanation:

Given the following :

AGE (X) - - - - - - - 19 - -20 - - - 21 - - - 22 - - - 23

FREQUENCY (F) - 2 - - 3 - - - - 1 - - - - 4 - - - - 1

A)

MEAN(X) = [AGE(X) × FREQUENCY (F)] ÷ SUM OF FREQUENCY

F*X = [(19 * 2) + (20 * 3) + ( 21 * 1)+(22 * 4)+(23 * 1)]

= 38 + 60 +21 + 88 + 23 = 230

SUM OF FREQUENCY = 2 + 3 + 1 + 4 + 1= 11

MEAN(X) = 230 / 11

X = 20.9

B)

WHEN A NEW PLAYER WAS ADDED :

MEAN (X) = 22

Let age of new player = y

Sum of Ages = 19 + 19 +20 + 20 + 20 + 21 + 22 + 22 + 22 + 22 + 23 + y

Number of players = 11 + 1 = 12

Mean(x) = sum of ages / number of players

New mean (x) = 22

x = (230 + y) / 12

22 = (230 + y) / 12

Cross multiply

264 = 230 + y

y = 264 - 230

y = 34 years

4 0
3 years ago
Read 2 more answers
A restaurant has $3,600 to spend on Advertising if each at Cost $600 how many ads will the restaurant be able to purchase
garri49 [273]

Answer:

6

Step-by-step explanation:

If a restaurant has 3600 to spend on ads which costs 600 each, then they can buy 6 ads.

They can buy 6 ads since 3600/600 = 6.

5 0
3 years ago
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How can the area of this triangle be determined by forming a rectangle?
m_a_m_a [10]

Step-by-step explanation:

Copy and rotate the triangle and place it next to the existing triangle to form a rectangle.

8 0
2 years ago
Read 2 more answers
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