Question and Answers Forum

In a school there are 30 more boys than girls. One-quarter of the boys and two-thirds of the girls are boarders. If there are 255 boarders, find the number of students in the school.

$I n a s c h o o l t h e r e a r e 30 m o r e b o y s$ $t h a n g i r l s . O n e - q u a r t e r o f t h e b o y s$ $a n d t w o - t h i r d s o f t h e g i r l s a r e b o a r d e r s .$ $I f t h e r e a r e 255 b o a r d e r s, f i n d t h e$ $n u m b e r o f s t u d e n t s i n t h e s c h o o l .$

Question Number 66765 Answers: 0 Comments: 2

Simba had 57 denomination notes which he deposited in his account. He had six times as many two-hundred shilling notes as one-thousand shilling notes and twice as many one-hundred shilling notes as two- hundred shilling notes. The rest were fifty shilling notes. If he deposited a total of sh 7750, find the number of fifty shilling notes he had.

$S i m b a h a d 57 d e n o m i n a t i o n n o t e s$ $w h i c h h e d e p o s i t e d i n h i s a c c o u n t .$ $H e h a d s i x t i m e s a s m a n y t w o - h u n d r e d$ $s h i l l i n g n o t e s a s o n e - t h o u s a n d$ $s h i l l i n g n o t e s a n d t w i c e a s m a n y$ $o n e - h u n d r e d s h i l l i n g n o t e s a s t w o -$ $h u n d r e d s h i l l i n g n o t e s . T h e r e s t w e r e$ $f i f t y s h i l l i n g n o t e s . I f h e d e p o s i t e d$ $a t o t a l o f s h 7750, f i n d t h e n u m b e r$ $o f f i f t y s h i l l i n g n o t e s h e h a d .$

Question Number 66760 Answers: 2 Comments: 2

By writing your answer in the form a^y simplify (3^(5x) ×5^(2x) ×3^(−x) ÷5^(−2x) )^(1/4)

$B y w r i t i n g y o u r a n s w e r i n t h e$ $f o r m a^{y} s i m p l i f y$ ${(3^{5 x} \times 5^{2 x} \times 3^{- x} \div 5^{- 2 x})}^{\frac{1}{4}}$

Question Number 66759 Answers: 1 Comments: 1

Question Number 66756 Answers: 2 Comments: 0

solve the equations, x+y=17 xy−5x=32

$s o l v e t h e e q u a t i o n s,$ $x + y = 17$ $x y - 5 x = 32$

Question Number 66755 Answers: 4 Comments: 0

solve the simultaneous equations: 3x-y=9 x^2 -xy=4

$s o l v e t h e s i m u l t a n e o u s e q u a t i o n s :$ $3 x - y = 9$ $x^{2} - x y = 4$

Question Number 66751 Answers: 1 Comments: 0

A rostum is made by cutting off the upper part of a cone along a plane parallel to the base at (2/3) up the height. What fraction of the volume of the cone does the rostum represent?

$A r o s t u m i s m a d e b y c u t t i n g o f f$ $t h e u p p e r p a r t o f a c o n e a l o n g a$ $p l a n e p a r a l l e l t o t h e b a s e a t \frac{2}{3} u p$ $t h e h e i g h t . W h a t f r a c t i o n o f t h e$ $v o l u m e o f t h e c o n e d o e s t h e$ $r o s t u m r e p r e s e n t ?$

Question Number 66746 Answers: 2 Comments: 0

A point T divides a line AB internally in the ratio 5:2. Given that A is (-4,10) and B is (10,3), find the coordinates of T.

$A p o i n t T d i v i d e s a l i n e A B i n t e r n a l l y i n t h e r a t i o 5 : 2 . G i v e n t h a t A i s (- 4, 10) a n d B i s (10, 3), f i n d t h e c o o r d i n a t e s o f T .$

Question Number 66743 Answers: 0 Comments: 4

Each month a store owner can spend at most $100,000 on PC′s and laptops. A PC costs the store owner $1000 and a laptop costs him $1500. Each PC is sold for a profit of $400 while a laptop is sold for a profit of $700. The store owner estimates that at least 15 PC′s but no more than 80 are sold each month. He also estimates that the number of laptops sold is at most half the PC′s. How many PC′s and how many laptops should be sold in order to maximize the profit?

$Each month a store owner can spend at$ $most $ 100, 000 on {PC}^{'} s and laptops . A$ $PC costs the store owner $ 1000 and a$ $laptop costs him $ 1500 . Each PC is sold$ $for a profit of $ 400 while a laptop is sold$ $for a profit of $ 700 . The store owner estimates$ $that at least 15 {PC}^{'} s but no more than$ $80 are sold each month . He also estimates$ $that the number of laptops sold is at most$ $half the {PC}^{'} s . How many {PC}^{'} s and how$ $many laptops should be sold in order to$ $maximize the profit ?$