answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
S_A_V [24]
2 years ago
15

the area of a rectangle banquet hall is 7400 square feet. the length of one side of the hall is 82 feet. explain how you can use

compatable numbers to estimate the width of the hall
Mathematics
1 answer:
Vadim26 [7]2 years ago
5 0
We are given that the hall has a rectangular shape.
Area of rectangle can be calculated using the following rule:
Area of rectangle = length * width

We are also given that:
Area = 7400 square feet
length = 82 feet

Substitute with the givens in the above equation to get the width as follows:
Area of rectangle = length * width
7400 = 82 * width
width = 7400 / 82
width = 90.24390244 feet
You might be interested in
Triangle ABC was dilated and translated to form similar triangle A'B'C'.
Hunter-Best [27]
Dilation refers to a non rigid motion where a figure is transform and its image has the same form but a different size measure.

On this exercise is asked to find the scale factor by which the triangle ABC was 
dilated to produce the triangle A'B'C'. 
Dilation is define by the rule (x,y)-- (kx, ky) where k represents the scale factor.

As can be see on the picture the dilation produce was an enlargement meaning that the image is larger that the preimage.
Of this form you can discard the choices A and B as possible solutions.

Lets try 5/2 as the possible scale factor:
(x,y)-- (kx, ky)
A(0,2)--(5/2(0),5/2(2))=A'(0,5)
B(2,2)--(5/2(2),5/2(2))=B'(5,5)
C(2,0)--(5/2(2),5/2(0))=C'(5,0)

Lets try 5/1 or 5 as the scale factor:
A(0,2)--(5(0),5(2))=A'(0,10)
B(2,2)--(5(2),5(2))=B'(10,10)
C(2,0)--(5(2),5(0))=C'(10,0)

As said at the beginning of the question the triangle was not only dilated.
After a dilation and a translation, the scale factor of the dilation is letter C or 5/2.  

3 0
2 years ago
Read 2 more answers
Express these numbers in standard form (a)5730(b)0.23(c)0.000231(d)7150000(e)500.8
alisha [4.7K]

Answer:

5730 = 5.73×10³

0.23 = 2.3×10‐¹

0.000231 = 2.31×10-⁴

7150000 = 7.15×10⁶

500.8 = 5.008×10²

8 0
2 years ago
Mr. Rifkin had 240 digital and manual cameras. After donating 82 digital cameras and 26 manual cameras, he had 3 times as many d
Irina18 [472]

Answer:

therefore, he had 181 digital cameras at first

Step-by-step explanation:

total=240

digital= 3x+82

manual= x+26

total= digital + manual

240= 3x+82+26+x

x= 240-108/4

x= 33

digital= 3×33+83

=181

7 0
2 years ago
Read 2 more answers
on Saturday a bakery sold 6 cakes and several cupcakes a bakery made a total of 165 if Case sell for $12 each and cupcakes sell
lozanna [386]
$12•6=$72

$165-$72=$93

$93/$3= 31 cupcakes

Multiply $12 by the 6 cakes sold getting $72

Subtract $72 from the total $165 dollars made getting $93 left

Divide $93 by the $3 each cupcake cost getting 31 cupcakes

ANSWER: 31 cupcakes sold
3 0
2 years ago
Read 2 more answers
A paintball court charges an initial entrance fee plus a fixed price per ball. The variable ppp models the total price (in dolla
DaniilM [7]

Answer:

$5.50

Step-by-step explanation:

The function we are given is

p = 0.80n + 5.50,

where n is the number of balls.

Multiplying this variable by 0.80 means $0.80 will be the cost per ball.  The additional amount added to the variable in the function, 5.50, will be the entrance fee.

7 0
2 years ago
Read 3 more answers
Other questions:
  • Natalia has 48 tiles.Write a factor pair for the number 48.
    10·2 answers
  • In the diagram, point O is the center of the circle and mADB = 43°. If mAOB = mBOC, what is mBDC?
    8·2 answers
  • Which normal distribution has a wider​ spread: the one with mean 9 and standard deviation 5 or the one with mean 5 and standard
    15·1 answer
  • 300 reduced by twice a number is 146. what is the number?
    10·2 answers
  • The graph of a hyperbola is shown.
    7·2 answers
  • Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation
    7·1 answer
  • An uncooked gingerbread cookie is y centimeters long. After it is baked, the length of the
    9·2 answers
  • Assuming that the Chinese population continues to grow at the same rate, how many years until the population reaches 1.5 billion
    9·1 answer
  • You have heard that customers will try a new caterer if the price is 20% below their existing caterer. Your competitor prices a
    14·1 answer
  • Triangle BAC was rotated 90° clockwise and dilated at a scale factor of 2 from the origin to create triangle XYZ. Based on these
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!