1answer.
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
OlgaM077 [116]
3 years ago
10

There are two buildings that you want to have in the amusement park, but the size hasn’t been determined yet. Although you don’t

know the specific dimensions, you do know the relationships between the sides.
The first is the rectangular gift shop. You know that the length will be 20x+24 feet and the width will be 36-20 feet.

a) Write the expression that represents the area of the gift shop, in terms of x.
b) Write the expression that represents the perimeter of the gift shop, in terms of x.
c) If the perimeter is going to be 176 feet, what are the dimensions of the building?
Mathematics
1 answer:
ELEN [110]3 years ago
6 0
We have that
<span>the length will be 20x+24 feet
and 
</span><span>the width will be 36x-20 feet

Part a) </span><span> Write the expression that represents the area of the gift shop, in terms of x

we know that
area of a rectangle A=lenght*width
A=(20x+24)*(36x-20)
A=720x</span>²-400x+864x-480
A=720x²+464x-480

the answer part a) is
<span>the expression that represents the area of the gift shop, in terms of x. is
</span>A=720x²+464x-480

Part b) <span>Write the expression that represents the perimeter of the gift shop, in terms of x

the perimeter of a rectangle P=2*[length+width]
P=2*[(20x+24)+(36x-20)]
P=2*[56x+4]
P=112x+8

the answer part b) is
</span><span>the expression that represents the perimeter of the gift shop, in terms of x is
</span>P=112x+8

Part c) <span>If the perimeter is going to be 176 feet, what are the dimensions of the building?
P=176 ft
P=112x+8
112x+8=176
112x=176-8
x=168/112
x=1.5 ft
length=(20x+24)-----> 20*1.5+24-----> 54 ft
width=36x-20------> 36*1.5-20-----> 34 ft

the answer part c) is
length is 54 ft
width is 34 ft</span>
You might be interested in
If a =6, what is the value of 2a(3b + 5c)?
leva [86]

Answer:

<h2>36b + 60c</h2>

Step-by-step explanation:

Put a = 6 to the expression 2a(3b + 5c):

(2)(6)(3b + 5c) = 12(3b + 5c)               <em>use the distributive property</em>

= (12)(3b) + (12)(5c) = 36b + 60c

7 0
3 years ago
Find the probabilities for a standard normal random variable Z.
vampirchik [111]

Answer:

Step-by-step explanation:

find the attachment showing std normal curve symmetrical about y axis.

Equal probabilities on either side of the mean thus the total probability to the right of mean is 0.50

From the table we can find that

a) P(Z>2.5) = 0.5- area lying between 0 and 2.5

= 0.5-0.4938 =0.0062

b) P(1.2<z<2.2) = F(2.2)-F(1.2)

= 0.9861-0.3849

=0.6012

4 0
3 years ago
Every year, ___%percent of species are added to or subtracted from the total number of animal species.
nordsb [41]

Answer:

72

Step-by-step explanation:

4 0
2 years ago
I need the answer to this question please 4(3 - 2x) = 15
Alecsey [184]

The correct answer would be -3/8 or in decimal form -0.375 :)

3 0
3 years ago
Figure B is a scale image of Figure A, as shown.
galina1969 [7]

Answer:

heyjsjsbsjwskozkdndjsisjwjsks

3 0
3 years ago
Other questions:
  • 2/3x - 5/6 equal to or greater than 1/2
    10·1 answer
  • Solve the formula 180=a+b+c for a
    11·1 answer
  • What is the reason for each step in the solution of the inequality?<br><br> −2(x+3)−4&gt;4x+30
    9·2 answers
  • Multiply 0.00032 cm by 4.02 cm and express the answer in scientific notation. Remember to follow significant figure rules.
    11·2 answers
  • Your lunch account has $22 and you spend $2.20 on it each day write an equation for the line
    13·1 answer
  • ben uses 3/12 pound of strawberries and 2/12 pound of blueberries to make jam. how many pounds of berries does ben use to make j
    8·2 answers
  • Can Anyone Please Do This It’s Math
    13·2 answers
  • Find cos(a) in the triangle.
    12·1 answer
  • It costs 2.5 cents to copy a page. How many pages can you copy for $\$20$?
    13·1 answer
  • You exercised 24 hours each month for a year. How many hours did you exercise by the end of the year
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!