The perimeter of an airplane ticket is 30 centimeters. The area is 50 square centimeters. What are the dimensions of the ticket?
Answer:
The length can be 5 and the width 10.
Step-by-step explanation:
perimeter is equal to 2L + 2W
area is equal to L * W
you get 2 equations:
30 = 2L + 2W
50 = L*W
we'll solve by substitution.
you can use either equation to solve for either variable.
we'll use the second equation to solve for L.
second equation is:
50 = L*W
divide both sides of this equation by W to get:
L = 50/W
we now have a value of L that we can substitute in the first equation which we can then use to solve for W.
the first equation is:
30 = 2L + 2W
replace L with 50/W to get:
30 = 2*(50/W) + 2W
simplify to get:
30 = 100/W + 2W
multiply both sides of this equation by W to get:
30W = 100 + 2W^2
subtract 30W from both sides of this equation to get:
2W^2 - 30W + 100 = 0
factor this equation to get:
(2W - 20) * (W - 5) = 0
solve for W to get:
W = 10 or W = 5
if W = 10, then use the equation of 50 = L*W to get L = 5
if W = 5, then use the equation of 50 = L*W to get L = 10
you have 2 possible solutions.
L = 5 and W = 10 or:
L = 10 and W = 5
both are plausible so we'll test them both out.
when L = 5 and W = 10:
the first equation becomes 2*5 + 2*10 = 10 + 20 = 30
the second equation becomes 5*10 = 50
both equations confirm that the solution of L = 5 and W = 10 is good.
when L = 10 andW = 5:
the first equation becomes 2*10 + 2*5 = 20 + 10 = 30
the second equation becomes 10*5 = 5
both equations confirm that the solution of L = 10 and W = 5 is good.
the ticket can have either:
a length of 5 and a width of 10 or:
a length of 10 and a width of 5.
since the length is usually longer than the width, you are free to choose that the ticket most likely has a length of 10 and a width of 5.
alternatively, you can simply say that the dimensions are 5 by 10 and let the recipient of that information determine which is the length and which is the width.
mathematically, the length can be 10 and the width 5 or the length can be 5 and the width 10.
Help Please, There are 5 rectangular flower gardens each measuring 16 feet by 13 feet in a rectangular city park measuring 90 feet by 140 feet. How many square feet of the park is not used for flower gardens?
Answer:
11560 ft squared
Step-by-step explanation:
16 x 13 = 208
208 x 5 = 1040 ft2
1040 ft 2 is how much space used
90 x 140 = 12600 ft2
12600 ft2 is all of the space
12600 - 1040 = 11560 ft squared
please help 15 MATH PROBEL
Answer:
x=2
Step-by-step explanation:
look at the line on the graph where y is 3 units up x is 2 units right
helpppp
anyone!? :<
___________________________________________________
1. Write the multiplication sentence modelled by the shaded region in each rectangle.
|A. | B. |C. |D.
______________________________________
3. Tom took of a pie. He could only eat of what he took.
What fraction of the pie did Tom eat?
''Hint: 1/2 of 3/4 is 1/2 x 3/4.''
___________________________________________________
PLZZZ DO BOTH!! :( ITS DUE TW
Answer:
First page;
a. 2/3x1/2=1/6
b. 1/4x2/5=2/20
c. 1/3x1/3=1/9
d. 1/2x5/6=5/12
Second Page:
a. 1/4x3/4=3/16
b. 1/2x2/3=2/6
Step-by-step explanation:
Hope this helps :) have a good day or night!!!!
17 gallons of water are used to completely fill 4 fish tanks. If each tank holds the same amount of water how many gallons will each tank hold
Please I NEED HELP!
Which of the following expressions have equivalent solutions?
I. −7.56÷2.4−0.65
II. (518−34)÷−134
III. −58(83+113)
-(x + 8) = -x
The solution to the equation is:
x = 8
infinitely many solutions
x = -8
no solution
Answer:
Step-by-step explanation:
i can help
Step 1
-(x + 8) = -x Simplify
Step 2
-(x + 8) = -x Simplify the sides of the equation
-x-8=-x
Step 3
-x-8=-x Add x to the sides
-8=0
Step 4
-8=0 Add 8 to the sides
0=8
Answer
No solution
Hope this helps
DO NOT EXPLAIN WILL GIVE BRAINLIEST
Answer:
D
Step-by-step explanation:
Has already given the answer
3 find the unknown measure of the rectangle
4.
25 in
ID
Area = 200 square inches
base
Please help
Answer:
8 in^2
Step-by-step explanation:
rectangle area is length times width, length is 25
25 * w = 200
divide both sides by 25
w = 8
1/9 of the shirts sold at Peter’s shop are striped. 5/8 of the remainder are printed. The rest of the shirt are plain colored shirts. If Peter’s shop has 81 plain colored shirts, how many more printed shirts than plain colored shirts does the shop have?\
Thanks
Spectrier
Answer:
54 more printed than plain shirts.
Step-by-step explanation:
Alright, so... if 1/9 of the shirts are striped and 5/8 of the remaining shirts are printed then 3/8 of the remaining shirts are plain. if 81=3/8 of the remaining shirts then 1/8 of the remaining shirts is 27 shirts. 27x5=135 meaning 135 of the remaning shirts are printed. If 1/8 of the remaining shirts is 27, there are 216 total remaining shirts. This also means that 216 is 8/9 of all of the shirts. Since 27 is 1/8 of the remaining shirts, 216+27=the total amount of shirts. 216+27=243. 243/9=27 meaning that 1/9 of the shirts is 27 (which also means I did that math for no reason, it's 2:00 am, my brain can't funtion rn XD). 135 printed shirts-81 plain shirts=54. There are 54 more printed shirts than plain shirts. Sorry if I am wrong, hope it helps. Have a wonderful day!
Use the triangle formed by the vertices L(—3, 4), A(O, 5) and D(2, l). AL' A'D' is a triangle formed by using the transformation rule (x, y) —5 (—x, y) .
a. What type of transformation is ALAD —AL'A'D'?
b. Are A LAD and AL'A'D'congruent or similar?
A and B are not answers! They are parts to the question
ANSWER FOR BRAINLIEST
What additional information do you need to find the total amount of cardboard needed for the box?
Answer:
The width I think, I may wrong
Use variables to write an equation that represents the relationship between the time x and the distance y .
An eagle flies 40 miles per hour.
An equation that represents the relationship is y= ___
Please and thank you.
[tex]y=\frac{40 miles}{1hours} x[/tex]
I will mark as brainliest!
So Nelly gets £8 an hour for the first 15 hours, so you have to find the product of 8 and 15 which is £120. Then she gets an extra £10 for every extra hour, so we have tl subtract 15 hours from how many total she worked. To do that, we first have to add all of the hours together which would be 22 hours. Then we have to subtract the 15 which is 7 hours. However, the 5 hours on Saturday are going to pay double so we will calculate that afterwards. so 7 minus 5 is 2. Nelly gets paid £8 pounds for every hour so she gets £16 for 2 hours. Now, since are doubling £8 we get £16. So Nelly gets paid £16 an hour for the hours she worked on Saturday. 5 times 16 is £80. Now we add it all together. £120 + £16 + £80 = £216
Hope this helps :)
Which statements are true about the figure? Check all that apply.
1. The figure is a triangular prism.
2. The figure is a rectangular pyramid.
3. The figure has 6 vertices.
4. The figure has 6 faces.
5. The figure has 9 edges.
Answer:
1,3,5
Step-by-step explanation:
Answer:
1,3,5
Step-by-step explanation:
1: The figure has triangles at both bases.
3: The figure has six ends/corners with more than three connecting.
5: The figure has 9 edges.
If its right i will give you brainliest
Lindsey deposited $125 in a savings account where it earned 2.4% simple interest. She is ready to take all the money out three and half years later and wants to know how much money she will be getting.
If ∠J and ∠K are complementary angles and m∠K= 63, find m∠J
Angle 1 and Angle 2 are supplementary. If m∠1=27° , what is m∠2 ?
Answer:
m∠2 = 153°
Step-by-step explanation:
If Angle 1 and Angle 2 are supplementary, then that means they both add up to 180°.
180 - 27 = 153
m∠2 = 153°
help please and thank you
Answer:
if I'm not mistaken it's 28
Step-by-step explanation:
x+4=32
x=28
Answer:
You can do it!
Step-by-step explanation:
Help a guy/girl/non-binary out? Please?
Suppose 288 electricians took a certification test that is worth 140 points. The five-number summary for the scores is shown here.
min. value = 68
Q1 = 110
median = 125
Q3 = 130
max. value = 138
About how many electricians had a score of 110 or less? A: 72 B: 130 C: 144 D: 216
Answer:
72
Step-by-step explanation:
For Q 1 : 25 % of the scores are below this value. The area under the bell-shaped curve of the normal distribution is 0.25. And since we have 288 electricians that took a certification test:
0.25 * 288 = 72.
Michael is a real estate agent who sells a house. He received $5,250 for a 3% commission on the house. How much did the house sell for?
Answer: $157.50
Step-by-step explanation:
$5250÷100=$52.50
52.50×3=$157.50
Which quadratic function is represented by the graph?
Answer:
Which quadratic function is represented by the graph?
3rd answer is correct : see image: 100% on the Unit Review Test.
Step-by-step explanation:
Edge 2022 Unit Review
Write and Solve Equations-Word Problems help
Answer:
blue = 110
red = 83
Step-by-step explanation:
110 + 83 = 193
and the blue jar has 27 more coins than the red jar , so this is correct!
Davian is traveling at a constant speed of 85 kilometres per hour. If he is half way through his 510 kilometre trip, how much longer will the trip take?
a.1.5 hours
b.3 hours
c.425 hours
d.12 hours
e.5 hours
H e l p m e p l e a s e ? i w i l l g i v e b r a i n l l e s t .
Answer:A
Step-by-step explanation:
The churches shown are concentric. Find the value of x.
Answer:
y
Step-by-step explanation:
Plz helppp
Do the calculation below
6(18 + 14)
Answer:
Explained below...
Step-by-step explanation:
First, recognize the acronym PEMDAS, which stands for:
P - Parenthesis
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
So, as there are parenthesis, that will be your first step in the expression.
6(18 + 14) --> 6(32)
Now, you will find the next step in PEMDAS, which would be multiplication.
6 * 32 = 192.
So, your answer for the equation is 192.
Hope this helps! :)
Answer:
6(18 + 14) = 192
Step-by-step explanation:
Please help! I will mark brainliest if you help me understand the steps
(Look at my most recent questions on my profile for Part A & Part B!!)
Part C
6. Now that the curve pieces are determined, use those pieces as sections of a complete coaster. By hand or by using a drawing program, sketch a design of Ray and Kelsey's coaster that includes the shape of the g(x) and f(x) functions that you chose in the Parts A and B. You do not have to include the coordinate plane. You may arrange the functions in any order you choose, but label each section of the graph with the corresponding function for your instructor to view.
(This is the last part I need help with, please try to answer as quickly and as helpful as possible!)
Answer:
I don't see the graph sorry my guy .
Step-by-step explanation:
:C
I will give brainiest plz help and no links
Answer:
15/32
Step-by-step explanation:
PLZ HELP!!! ALL ANSWERS THAT ARENT DETAILED AT ALL WILL BE DELETED JUST MAKE IT SORT OF DETAILED LOL PLS- Solve the equation 7x + 3x − 18 = 6(x + 3), and show your work. (5 points)
Part B: Use this list of properties to justify each step of your math work. Justifications may be used more than once if needed. (5 points)
Distributive Property
Subtraction Property of Equality
Combine Like Terms
Multiplication Property of Equality
Division Property of Equality
Given
Addition Property of Equality
Answer:
x=9
Step-by-step explanation:
the equation
10x-18=6(x+3)
10z-18=6x+18
10x=6x+18+18
10x-6x=36
4x=36
x=36/4
x=9
Distributive Property
Subtraction Property of Equality
Combine Like Terms
Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality