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bearhunter [10]
3 years ago
15

Two families go to the zoo

Mathematics
1 answer:
ivolga24 [154]3 years ago
6 0

Answer:

So adult tickets cost £17.00 and child tickets cost £9.00

Step-by-step explanation:

2a+3c=61

2a=61-3c

a=30.5-1.5c

...

3a+5c=96, using a found above we get:

3(30.5-1.5c)+5c=96

91.5-4.5c+5c=96

91.5+0.5c=96

0.5c=4.5

c=9, and since a=30.5-1.5c

a=17

So adult tickets cost £17.00 and child tickets cost £9.00

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Ghella [55]

Answer:

A:(14,0)

Step-by-step explanation:

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7 0
3 years ago
According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 5x3 – 7x + 11?
iogann1982 [59]

ANSWER

\pm1,\pm11,\pm \frac{1}{5} \pm \frac{11}{5}

EXPLANATION

The given function is;

f(x) = 5 {x}^{2}  - 7x + 11

The constant term is 11.

The coefficient of the leading term is 5.

The factors of 11 are ±1,±11

The factors of 5 are ±1,±5

According to the Rational roots Theorem,

the potential roots are obtained by expressing the factors of the constant term over the coefficient of the leading term.

\pm1,\pm11,\pm \frac{1}{5} \pm \frac{11}{5}

4 0
3 years ago
Question 1: Find the distance between the points (1, 4) and (5, 1).
Anit [1.1K]

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(5-1)^2+(1-4)^2}\implies d=\sqrt{4^2+(-3)^2} \\\\\\ d=\sqrt{16+9}\implies d=\sqrt{25}\implies d=5

6 0
3 years ago
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I hope this helps you

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