3 years ago

Write an expression for the lengths of the rectangle in terms

Mathematics

1 answer:

Snowcat [4.5K]3 years ago

6 0

Answer:

l = A/w

Step-by-step explanation:

Let 'A' equal area. If the formula for the area of a rectangle is A = lw, you need to get 'h' alone. Divide 'h' by 'l' and by V to get the answer, l = A/w.

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2 years ago

Find the least length of a rope which can be cut into whole number of pieces of lengths 45cm, 75cm and 81 cm

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2 years ago

In an auditorium, a charity show is conducted in order to raise at least $3,750. The auditorium can accommodate up to 180 specta

Maksim231197 [3]

Answer:

See explanation

Step-by-step explanation:

Let $x,\ x\ge 0$ be the number of students and $y,\ y\ge 0$ be the number of adults on the show.

1. Tickets cost $15 for students, so x student tickets cost $15x.

Tickets cost $25 for adults, so y adult tickets cost $25y.

Total cost of all tickets is $(15x + 25y).

The charity show is conducted in order to raise at least $3,750, thus

$15x+25y\ge 3,750$

2. The auditorium can accommodate up to 180 spectators, hence

$x+y\le 180$

3. We get the system of inequalities:

$\left\{\begin{array}{l}x\ge 0\\y\ge 0\\x+y\le 180\\15x+25y\ge 3,750\end{array}\right.$

Plot all solutions sets to each inequality and the common region is the solution set to the system of inequalities. This region is not empty, so the charity will reach its goal. For example, if they sell 50 students tickets and 125 adult tickets, they will raise $\$(15\cdot 50+25\cdot 125)=\$3,875$