The area of a door is 3024 square inches. If
the length of the door is 48 inches longer
than the width of the door, what is the
width of the door?
A: Translate the problem into an equation.
B: Solve

Answers

Answer 1

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.


Related Questions

7. The angle of elevation of a 110 foot crane ispuiiaing 45°. How high can the crane raise
material?

Answers

i don't khow to write that here


Mark works 24 hours a week and earns £11.63.
Calculate Mark's weekly basic pay and then find his annual salary

Answers

Weekly pay = amount per hour x number of hours:

24 x 11.63 = 279.12

Annual salary = weekly pay x 52 weeks:

279.12 x 52 = 14,514.24

help in this question!!​

Answers

answer

Yes

Step-by-step explanation:

17.23 - 18.03

=1.77

What is the surface area?
10 mm
8 mm
10 mm
12 mm
10 mm
square millimeters

Answers

Just add them all up
96000^10 not sure though heart u luv

Please help due in 8 minutes!!!!

Answers

Answer:

should it be like 16ft or sum like do it give u multichoice answers

Step-by-step explanation:

Answer:

The area of the shape is 21.87 square feet.

Step-by-step explanation:

Assuming the indent on the right is a perfect semicircle, then you need only subtract the area of the semicircle from the area of the rectangle.

The rectangle is six feet on both directions, giving it an area of 36 square feet.

The circle then has a radius of 3 feet.  The area of a circle is equal to πr², so in this case, π × 9.  Using a pi value of 3.14, nine times that is 28.26.  We only want half the circle's area though, giving us 14.13.

Now we can subtract that semicircle from the square giving us:

36 - 14.13 = 21.87

So the total area is 21.87 square feet.

What is the value of y in the parallelogram below?
5y"
654
O A. 110
O B. 60
O c. 13
D. 23

Answers

Answer:

D. 23

Step-by-step explanation:

5y = [360 - (65 x 2)] / 2

5y = [360 - 130] / 2

5y = 230 / 2

5y = 115

y = 23

Hope that helps!

An apartment manager would like to survey a sample of residents to determine whether there may be interest in building a pool what is the best way that the apartment manager could select he sanple

Answers

Answer: b. randomly select people from all residents of the apartment building.

Step-by-step explanation:

This issue at hand concerns all residents of the building so the apartment manager should randomly select people to participate in the survey from the entire population of all the residents of the apartment building.

Selecting only those who have children would not be representative of the whole population as there will be people with less or more children than 5 and some would not have children. Option C and D are wrong because only current residents should be included.

Can you please help me
:(

Answers

Answer:

Step-by-step explanation:

3 divided by 1/3 is 9 there are 3/3 in one hour, so split it in threes

the other awnsers are correct

the number of groups, they askd for how many shifts, not how many people are working each shift.

Find all points on the curve y = cos x, 0 ≤ x ≤ 2π, where the tangent line is parallel to the line y = -x.

Answers

Answer:

90⁰

Step-by-step explanation:

y=cosx

y'= -sinx

eqñ of tangent is y=-x

slope of tangent =-1

we know...

slope of tangent = y' or derivative of y

-sin x = -1

sin x= 1

x = 90⁰

A surfer is riding a 12 foot wave. The angle of depression from the surfer to the shoreline is 23° . Find the horizontal distance from the surfer to the shoreline.

Answers

It would be about 28.302 Ft

tan 23 = 12/x

x = 12/0.424

x = 28

help asap!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

8 sq un, and 9 sq un

Step-by-step explanation:

You deposit $150 into an account with an interest rate of 3%. After 5 years, how much interest have you earned?

Answers

if u earned $150 and had a rate of 3% if u add thise up u get $450 plus the 5 years you will have $950 i thonk that this is the right answer i dont really know

The endpoints of a line segment are (–1, 6) and (8, 6). What is the length of the line segment?

A.
2 units

B.
7 units

C.
9 units

D.
12 units

Answers

Answer:

c. 9 units

Step-by-step explanation:

The coefficient of y in 2x – 3y is ------------------- (3, -3, 2)

Answers

Answer:

coefficient of y is -3.

Step-by-step explanation:

A car travels 384 kilometers in 4 hours. (with a constant speed) how much time will it take traveling at 144 kilometers?

Answers

Answer:

1.5 hours or 90 minutes

Step-by-step explanation:

384 km: 4 hours

divide both sides by 4

96 km: 1 hour

multiply both sides by 1.5

144 km: 1.5 hours

Answer:

it will take 1.5 hrs as u multiply 144 with 4 and divide by 384

what does a cluster tell you about the data on a scatter plot​

Answers

Answer:

A cluster tells you the location of the greatest point in a set of data values.

7. In a bay the time between high tide and low tide is approximately 6 hours. The first low tide is at 7 a.m. followed by a hide tide at 1 p.m. The depth of the water in the bay at low tide is 5 fathoms which rises to 9 fathoms at high tide. a) Sketch a graph of the depth of the water in the bay over time. Start your graph at 7 a.m. and graph at least on complete cycle. b) Write a function equation for your curve. Let t represent the number of hours after 7 a.m. c) How deep will the water be at 11 a.m?

Answers

THIS IS MS NEISES PLEASE SEE ME AFTER CLASS

THIS IS MS NEISES I AM REALLY MS NEISES

after a teacher handed out m packs of notebooks with c notebooks in each pack

Answers

I need more information maybe a picture or something

Answer:

M/C

Step-by-step explanation:

So you divide the number of notebooks handed out (m) by the number of notebooks per pack (c) to get the number of packs.The number of packs is m/c

Explain why this common mistake is wrong. Many people might say that (2, 4) is an intercept of the equation 5x + 2y = 18.

Answers

Answer:

Step-by-step explanation:

(2,4) is point lying on the line represented by 5x + 2y  = 18.

They are not intercepts.

x-intercept is point where the line crosses the x-axis and so, y-co ordinate at x-intercept is 0.

y-intercept is point where the line crosses they-axis and so,x-co ordinate at y-intercept is 0.

5x + 2y = 18

To find x-intercept, put y = 0 in the equation

           5x = 18

             x = 18/5

             x = 3.6

To find y-intercept, put x = 0 in the equation

          2y = 18

             y = 18/2

             y = 9

x-intercept : (3.6 , 0)

y-intercept :(0, 9)

smallest multiple of 50 is
10
5
50​

Answers

Answer:

the smallest multiple of every number is the number itself

Step-by-step explanation:

50

Two capital letters used to name a line. True or False?

Answers

Answer:

It is true

Hope it helps..

Have a great day :)

True: Each point with a capital and CAN be sequential.

WRITE THE EQUATION to Represent: Find x if the area of the rectangle
below is 124 square inches. WRITE THE EQUATION.
4
6x +1

Answers

Answer:

4(6x+1)=124

Step-by-step explanation:

To find the area of a rectangle, you use this formula: area= length *width

so you input the length (6x+1) TIMES the width (4)

Imani wants to solve the equation 2 - 3 = 2(5 + ).
She uses a graphing program to graph the equations y = 2 - 3 and
y = 2(5 + Źr).
Use the graph to find the solution of 2 - 3 = 2(5 + 2).

Answers

Answer:

we can't do graphs plz thank me

a circular park has a circumference of 36 yd. find its diameter​

Answers

Answer:

412.53 inches

or

11.45916 yards

Step-by-step explanation:

Answer: 11.46yd

Step-by-step explanation:

The formula for the circumference is dπ.

So using the formula you would have to do the inverse so 36/π=11.46 (2 decimal places)

In which of the following number sets does -3
NOT belong?

Answers

Is there a photo missing or something because there’s no sets??

Answer:

Whole numbers

Step-by-step explanation:

-3 is not a whole number because it is a negative number.

PLSSSS HELP!!

Find the surface area of the triangular pyramid.

a triangular pyramid - the base has side length 2.5 inches and height 2.2 inches and each face has height 5 inches

Answers

Answer:

31.25 in²

Step-by-step explanation:

Surface area of triangular pyramid

Perimeter, P = 4s = 4 * 2.5 = 10 inches

Lateral surface area = 0.5 * P * height = 0.5 * 10 * 5 = 25 inch²

The base area = s² = 2.5² = 6.25 inch²

Hence, surface are ao triangular pyramid ;

Lateral surface area + base area

= 25 inches + 6.25 inch²

= 31.25 in²

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ܟܝܐ-)X
(
65
)
,
y
(
6
,
-352Z
܂'S-

Answers

Answer:

                                                                  n      

Step-by-step explanation:

can someone help please ill give Brainlist ​

Answers

Answer:

-1/3

Step-by-step explanation:

The common difference is how much it goes up by with each new number, so you can see that each time it goes down by 1/3. This means that the common difference is -1/3.

find the surface area and volume of a cube with the following dimensions: length 4cm, width 4cm, height 4cm​

Answers

Answer:

Surface area is 96cm^2, volume is 64 cm^3.

Step-by-step explanation:

Surface area = area of top and bottom + area of left and right + area of front and back.

area of top or bottom = 4×4=16cm^2

area of left or right = 4×4= 16cm^2

area of front or back = 4×4=16cm^2

total surface area = 2(16) + 2(16) + 2(16) = 96cm^2

volume of a cube = length × width × height = 4×4×4 r 64 cm^3.

I want the answer fast plz

Answers

Answer:

y=-x/3+2

Step-by-step explanation:

If you graph out 3x-y-7=0, you will get a line that goes through the points (0, -7), and about (2.3, 0). If you graph out y=x/3+2, you have to make sure that this line forms a 90 degree angle on the previous line, thus making this line perpendicular to the previous line.

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