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Savatey [412]
3 years ago
8

PLEASE HELP

Mathematics
1 answer:
Eva8 [605]3 years ago
6 0

Answer: 51 Children and 36 Adults.

Step-by-step explanation: Let's call x the number of children admitted and call z the number of adults admitted.

We know that x+z= 87

We also know that 3.25x+3.5z= 291.75.

We want to find the value of x and z. Then we solve the system of equations:

Multiply the first equation by -3.5 and add it to the second equation:

-3.5x-3.5z= -304.5

3.25x+3.5z= 291.75

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

-0.25x=-12.75

x= -42.75 ÷ -0.25

x=51

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

Now we substitute the value of x in the first equation and solve for the variable z

51+z=87

z=87-51

z= 36

Omg took me like 10 minutes to calculate would appreciate brainliest. Have a wonderful day.

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Step-by-step explanation:

9/20 divided by 3/4 =0.0375

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2 years ago
simplify the following expression: (x+7/4x) + (5/x-8) I also attached a photo of the problem if you get confused on how I typed
Gnoma [55]

Answer:

\frac{x^{2}  + 19x - 56}{4 {x}^{2}   - 32x}

Step-by-step explanation:

Start by making the denominators of both fraction the same. This can be done by multiplying one fraction's denominator by the other.

After simplifying and combining the two fractions together, check if the numerator can be factorised such that there is a common factor in the denominator and numerator. In this case, the numerator cannot be factorised.

Lastly, expand the denominator.

\frac{x + 7}{4x}  +  \frac{5}{x - 8}

=  \frac{(x + 7)(x - 8)}{4x(x - 8)}  +  \frac{5(4x)}{4x(x - 8)}

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=  \frac{ {x}^{2} - 8x + 7x - 56 + 20x }{4x(x - 8)}

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7 0
2 years ago
Four Friends decided to host the grand opening of their bar on St. Patrick’s Day. They built their bars at different distances f
klio [65]
John's Bar 60 km away from Ben's Bar.
Doug's Bar is 40 km away from Kieran's Bar
John's Bar is 10 km nearer to Doug's Bar than Kieran's Bar

If I am to assume that these bar are in a liner position,

Ben's Bar  Kieran's Bar      John's Bar          Doug's Bar
   *************  60km*******************
   
                            *****************40 km ********************
                      
                                                           *********30 km**************

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Ben to John = 60 km 
John to Doug = 30 km
Ben to Doug = 60 + 30 = 90 km.
8 0
3 years ago
Solve <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B3%7D%20%20%3D%20%20%5Cfrac%7Bh%7D%7Bh%20-%203000%7D%20" id="TexFormula1" ti
dezoksy [38]
<span>\sqrt{3}(h-3000)=h
</span>(\sqrt{3}h-\sqrt{3}(3000)=h
(\sqrt{3}-1)h=\sqrt{3}(3000)
h=\frac{\sqrt{3}(3000)}{(\sqrt{3}-1)}
=\frac{\sqrt{3}(3000)}{(\sqrt{3}-1)}
=7098.076 (approximately)
8 0
3 years ago
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