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saw5 [17]
3 years ago
7

One month Lucy rented 9 movies and 7 video games for a total of $65 . The next month she rented 3 movies and 5 video games for a

total of $37 . Find the rental cost for each movie and each video game
Mathematics
1 answer:
postnew [5]3 years ago
4 0
You would answer this question using simultaneous equations, so if m is movies and v is video games, then:
9m + 7v = 65
3m + 5v = 37

9m + 7v = 65
9m + 15v = 111
(minus)
-8v = -46
÷ -8
v = $5.75
Then you can substitute​ the value of V in to find the value of m, so:
3m + (5 × 5.75) = 37
3m + 28.75 = 37
- 28.75
3m = 8.25
÷ 3
m = 2.75
So you get the answers as Video Games are $5.75 each and Movies are $2.75 each, I hope this helps!
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What two numbers multiply into (-24) and adds up to (-10)?
yKpoI14uk [10]

Two numbers multiply into (-24) and adds up to (-10) are 2 & -12

<u>Step-by-step explanation:</u>

Here we need to find two numbers , with the following info:

Let us assume that two numbers are x & y .

two numbers multiply into (-24):

Two numbers are x and y , and there multiply is -24 i.e.

⇒ x(y) = -24

two numbers adds up to (-10):

Two numbers are x and y , and there addition is -10 i.e.

⇒ x+y = -10 . .............. (1)

Let's solve this :

We know that , (x+y)^2 = x^2 +y^2 +2xy

⇒ (x+y)^2 = x^2 +y^2 +2xy

⇒ (-10)^2 = x^2 +y^2 +2(-24)

⇒ 100 = x^2 +y^2 -48

⇒ x^2 +y^2 =148

Now,

⇒ (x-y)^2 = x^2 +y^2 -2xy

⇒ (x-y)^2 = (148) -2(-24)

⇒ (x-y)^2 = (148) +48=196 = 14^2

⇒ x-y = 14     .......... (2)

Let's solve equation 1 & 2 by adding (1)+(2):

⇒ (x+y)+(x-y) = -10 +14

⇒ 2x=4

⇒ x=2

Putting value of x=2 in x-y = 14 :

⇒ 2-y = 14

⇒ y = -12

Therefore, two numbers multiply into (-24) and adds up to (-10) are 2 & -12.

4 0
3 years ago
How do u find the range
S_A_V [24]

Answer:you find the range of a set of data is the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.

Step-by-step explanation:

3 0
3 years ago
Solve the 2x^2 - 5 = 13
DochEvi [55]

Answer:

x=3

x=−3

Step-by-step explanation:

2x^2 - 5 = 13

Subtract 13 from both sides.

2x^2 - 5 - 13 = 0

Subtract 13 from −5 to get −18.

2x^2 - 18 = 0

Divide both sides by 2.

x^2 - 9 = 0

Consider x^2−9. Rewrite x^2−9 as x^2−3^2. The difference of squares can be factored using the rule: a^2−b^2=(a−b)(a+b).

(x−3)(x+3)=0

To find equation solutions, solve x−3=0 and x+3=0.

x=3

x=−3

4 0
3 years ago
Y2 = 900 what is the solution for the equation
charle [14.2K]

Answer: -30 and 30

Step-by-step explanation:

5 0
3 years ago
Add. (3b + 5) + (2b + 4)
zaharov [31]

Answer:

\huge{ \fbox{ \sf{5b + 9}}}

Step-by-step explanation:

\star{ \text{( \: 3b + 5) + (2b + 4)}}

\text{Step \: 1 \:  :  \sf{Remove \: the \: unnecessary \: parentheses}}

\text{When \: there \: is \: a \: ( + ) \: in \: front \: of \: an \: expression \: in \: parentheses \:, there \: is \: no \: need \: to \: change \: the \: sign \: of \: each \: term \: in \: the \: expression.}

\text{That \: means, \: the \: expression \: remains \: the \: same. \: Just \: you \: have \: to \: remove \: the \: parentheses.}

\mapsto{ \sf{3b + 5 + 2b + 4}}

\text{Step \: 2 \:  : Collect \: like \: terms.}

\text{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}

\mapsto{ \sf{3b + 2b + 5 + 4}}

\mapsto{ \sf{5b + 5 + 4}}

\text{ Step \: 3 \:  :  \sf{Add \: the \: numbers : 5 \: and \: 4}}

\mapsto{ \boxed {\sf{ {5b + 9}}}}

Hope I helped!

Best regards! :D

~\sf{TheAnimeGirl}

4 0
3 years ago
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