4x+y=25 x- 3y=16 Simultaneous equation

Mathematics

1 answer:

Lerok [7]2 years ago

7 0

you change the y to have it y=3x+16 and same with the other one i think

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A cafe sells puffs. 5/9 are beef and 1/3 are chicken. The remaining 18 are tuna. Calculate 1. What fraction of the puffs are tun

Ksivusya [100]

Let n be the total number of puffs. Now we can write:
$n=\frac{5}{9}n+\frac{1}{3}n+18$
Adding the fractional value of n, we get:
$n=\frac{5+3}{9}n+18$
Simplifying and rearranging gives us:
$n-\frac{8}{9}n=18$
Therefore we can simplify to get:
$\frac{1}{9}n=18$
and finally
$n=18\times9=?$
The fraction of the puff that are tuna is found from:
$\frac{18}{18\times9}=\frac{1}{9}$

7 0

3 years ago

Read 2 more answers

Solve the equation: k^2+5k+13=0

mr_godi [17]

Step-by-step explanation:

k² + 5k + 13 = 0

Using the quadratic formula which is

$x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} \\$

From the question

a = 1 , b = 5 , c = 13

So we have

$k = \frac{ - 5 \pm \sqrt{ {5}^{2} - 4(1)(13) } }{2(1)} \\ = \frac{ - 5 \pm \sqrt{25 - 52} }{2} \\ = \frac{ - 5 \pm \sqrt{ - 27} }{2} \: \: \: \: \: \: \\ = \frac{ - 5 \pm3 \sqrt{3} \: i}{2} \: \: \: \: \: \:$