All categories

3 years ago

The area of a door is 3024 square inches. If

Mathematics

1 answer:

olasank [31]3 years ago

7 0

Answer:

Lets take all factors into consideration first

The door is a rectangle and the area of a rectangle is length times width

Let the width be w

Let the length be l

Equation length × breadth = area

(w+48)w = 3024

w^2 + 48w = 3024

w^2 + 48w - 3024 = 0

w^2 + 84w - 36w - 3024 = 0

w(w + 84) -36 ( w + 84) = 0

(w + 84) (w - 36) = 0

w + 84 = 0 AND w - 36 =0

w = -84 and w = 36

Since width cannot be negative, the right answer is 36

How did I get 84 and 36? Well, I had to factorize 3024 and since 84 times 36 is 3024 and 84 minus 36 is 48, I chose them.

You might be interested in

Kelly spends $75.98 on items for a party. She buys thank you cards that cost $3.18 (including tax). She also buys gift bags that

vladimir2022 [97]

B. 7 because if you do $75.98/$10.40=7

6 0

3 years ago

8. An artist creates 8 identical ceramic bowls. The bowls contains some glass and 59.2 pounds of clay. The artist uses a

Aleksandr [31]

Answer:

021110321....1.12...1.1.631.6301

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A 273,000-gallon shipment of fuel is 2.3 percent

-Dominant- [34]

Answer:

Amount of fuel antifreeze = 6,279 gallon

Step-by-step explanation:

Given:

Amount of fuel = 273,000-gallon

Antifreeze = 2.3 %

Find:

Amount of fuel antifreeze

Computation:

Amount of fuel antifreeze = Amount of fuel × Antifreeze

Amount of fuel antifreeze = 273,000 × 2.3 %

Amount of fuel antifreeze = 6,279 gallon

8 0

4 years ago

Work out m and c for the line: 3 y + 6 x = − 3

Usimov [2.4K]

Answer:

m is -2 and c is -1

Step-by-step explanation:

• Let's first phrase out the general equation of a line

${ \rm{y = mx + c}}$

m is the slope
c is the y-intercept

[ remember that a general line equation must be in slope - intercept form as shown above ]

• from our question, we are given the equation;

${ \rm{3y + 6x = - 3}}$

• let's make y the subject in order to make the equation in slope - intercept format.

→ remember to apply "subject making knowledge"

${ \rm{3y = - 3 - 6x}} \\ \\ { \rm{3y = - 6x - 3}} \\ \\ { \rm{ \frac{3y}{3} = \frac{ - 6x}{3} - \frac{3}{3} }} \\ \\ { \boxed{ \rm{y = - 2x - 1}}}$

• The above boxed equation is now a general equation. Let's extract out slope, m and y-intercept, c

${ \rm{m \: \dashrightarrow \: - 2}} \\ \\ { \rm{c \: \dashrightarrow \: - 1}}$

8 0

3 years ago

2 Find the Surface area of the prism. (2 Points) 5 in 3 in 8 in 4 in

MrRa [10]

Answer:

The surface area of the prism is 108 square in.

3 0

3 years ago