18 pencils, how many packets of biscuits 11. The ratio of the heights of two boys is \( 7: 6 \). If the height of the first boy is 210 cm , what is the height of the second boy? 12. The ratio of the number of Hindi books to the number of English books in a shop is \( 3: 2 \). If there are 3801 Hindi books, how many English books are there in the shop? 13. The ratio of the income to the expenditure of a company is \( 9: 8 \). If the company spends ₹ 64,000 , what is its income? How much is its savings? 14 . A map is drawn to a scale \( 1 \mathrm{~cm}=25 \mathrm{~km} \). If the distance between two points A and B in the map is 9 cm , what is the actual distance between them?

En una sucesión geométrica el elemento siguiente se obtiene ___ al elemento anterior. a. multiplicando b. sumando c. restando d. sumando y restarido

Scrivi la negazione di ognuna delle seguenti proposizioni. \( \begin{array}{ll}\text { a. "Il rettangolo è un particolare quadrato" } & \text { d. "Lesagono regolare ha sei angoli congruenti» } \\ \text { b. "Il numero } 18 \text { è un multiplo di } 3 \text { e 9" } & \text { e. "Non tutti i numeri primi sono dispari" } \\ \text { c. "Il numero } 14 \text { non è pari» } & \text { f. "Nessun bambino gioca» }\end{array} \)

Find the distance between the points \( (5,7) \) and \( (-4,7 \) Distance: \( \square \) \( \times \)

It is given that \( x-1 \) is a factor of \( f(x) \), where \( f(x)=x^{3}-6 x^{2}+a x+b \). (i) Express \( b \) in terms of a. [2] (ii) Show that the remainder when \( f(x) \) is divided by \( x-3 \) is twice the remainder when \( f(x) \) is divided by \( x-2 \). [4]

Subtract. Write the answer in lowest terms. \[ \frac{9 x}{x^{2}+x y-2 y^{2}}-\frac{7 x}{x^{2}+3 x y-4 y^{2}} \] \( \frac{9 x}{x^{2}+x y-2 y^{2}}-\frac{7 x}{x^{2}+3 x y-4 y^{2}}=\square \) (Simplify your answer. Type your answer in factored form.)