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tester [92]
3 years ago
14

10 adults and 5 children can watch a movie for 75 dollars. but 8 adults and 10 children can watch the movie for 78 dollars. how

much would it cost for 6 adults and 10 children to watch the movie
Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
8 0
10 adults + 5 children = $75 ------------- (1)
8 adults + 10 children = $78 ------------- (2)

(1) x 2 : 20 adults + 10 children = $150 ------------- (1a)

(1a) - (2) : 12 adults = $72
                   1 adult  =  $6

Substitute 1 adult = $6 into (1):

10 ($6) + 5 children = $75
$60 + 5 children = $75
5 children = $15
1 child = $3

Therefore 1 adult = $6  and 1 child = $3

Find 6 adult and 10 children: 
6 adults + 10 children = 6(6) + 10(3) = 36 + 30 = $66

Answer: $66
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What makes one graph represent quantities that are proportional to each other and one graph not represent
BaLLatris [955]

Answer: there is no photo for an example.

Step-by-step explanation:

please put a photo so we can help!

5 0
3 years ago
-5=3/4x-2 solve for x and please show your work!
Nookie1986 [14]
-5 = \frac{3}{4} x - 2 equals x = -4.

First, simplify \frac{3}{4} x to \frac{3x}{4}. / Your problem should look like: -5 = \frac{3x}{4} - 2.
Second, multiply both sides by 4. / Your problem should look like: -20 = 3x -8.
Third, add 8 to both sides. / Your problem should look like: -20 + 8 = 3x.
Fourth, simplify -20 + 8 to -12. / Your problem should look like: -12 = 3x.
Fifth, divide both sides by 3. / Your problem should look like: - \frac{12}{3} = x.
Sixth, simplify \frac{12}{3} to 4. / Your problem should look like: -4 = x.
Seventh, switch sides. / Your problem should look like: x = -4, which is your answer. 

3 0
3 years ago
If the equation below is solved by graphing, which statement is true? log (6 x + 10) = log 1/2 x
kicyunya [14]

The solution to the given expression is x = -20/11

<h3>
What are logarithmic functions?</h3>

Logarithmic function are inverse of exponential functions. Given the equation below;

log (6 x + 10) = log 1/2 x

In order to determine the solution to the given logarithmic equation, we will first have to cancel the logarithm on both sides to have

6x + 10 = 1/2x

Collect the like terms

6x - 1/2x = 0 - 10

Find the LCD

12x-x/2 = -10
11x/2 = -10

Cross multiply

11x = -2 * 10

11x = -20

Divide both sides by 11

11x/11 = -20/11

x = -20/11

Hence the solution to the given expression is x = -20/11

Learn more on log functions and graph here: brainly.com/question/2086094

#SPJ1

6 0
1 year ago
1/1×3 + 1/3×5 + ... + 1/47×49 HELP PLZ
Natalka [10]

Answer:

  24/49

Step-by-step explanation:

Let's add the terms and see if there's a pattern

  \dfrac{1}{1\times 3}+\dfrac{1}{3\times 5}=\dfrac{5+1}{1\times 3\times 5}=\dfrac{2}{5}\quad\text{sum of 2 terms}\\\\\dfrac{2}{5}+\dfrac{1}{5\times 7}=\dfrac{14+1}{5\times7}=\dfrac{3}{7}\quad\text{sum of 3 terms}

Suppose we say the sum of n terms is (n/(2n+1)), the next term in the series will be 1/((2n+1)(2n+3)) and adding that to the presumed sum gives ...

  \dfrac{n}{2n+1}+\dfrac{1}{(2n+1)(2n+3)}=\dfrac{n(2n+3)+1}{(2n+1)(2n+3)}=\dfrac{2n^2+3n+1}{(2n+1)(2n+3)}\\\\=\dfrac{(2n+1)(n+1)}{(2n+1)(2n+3)}=\dfrac{n+1}{2n+3}\text{ matches }\dfrac{(n+1)}{2(n+1)+1}

Then it appears the sum of n terms is (n/(2n+1)). So, the sum of 24 terms is ...

  S_{24}=\dfrac{24}{2\times24+1}=\boxed{\dfrac{24}{49}}

3 0
3 years ago
(-16) - (-4) and (-16) + 4<br><br> A. Equal<br> B. Not equal
mina [271]
They are equal

(-16)-(-4)
*negative and negative make a positive

-16+4= -12

-16+4=-12

They both make -12. They both are equal
3 0
3 years ago
Read 2 more answers
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