An envelope has a perimeter of 30 inches. Its area is 50 square inches. What are the dimensions of the
envelope?
inches by
inches
Answers
Answer:
10in by 5in
Step-by-step explanation:
PERIMETER: p=2(a+b) p=30
AREA: A=a×b A=50
2(a+b)=30
a×b=50
Answer:
The dimensions of the envelope are 5 by 10 inches.
Step-by-step explanation:
Perimeter formula for a rectangle: P = 2W + 2L
Area formula ' " " A = W*L
Here, P = 2W + 2L, so 30 in = 2W + 2L, or 15 in = W + L
Also, A = W*L, so 50 in^2 = W*L, or (if we solve this for W) W = (50 in)/L
But 15 = W + L, or 15 - L = W. Substitute this result for W in the equation W = (50 in)/L:
We get (50 in)/L = 15 - L
Multiplying both sides by L eliminates the fraction:
50 in = 15L - L^2, or
L^2 - 15L + 50 = 0
This factors into (L - 10)(L - 5) = 0, so L is either 10 or 5. Because 15 - L = W, W is either 10 or 5.
The dimensions of the envelope are 5 by 10 inches.
Related Questions
there are between 24 to 40 students in a class. the ratio of boys to girls is 4:7. how many students are in the class.
Answers
Answer:
8 students
Step-by-step explanation:
Answer:
33
Step-by-step explanation:
There are 4:7 boys to girls, so there is a multiple of 11 people, 4 + 7 = 11.
there are 4*3 boys and 7*3 girls, 12 boys and 21 girls
What is 50% of 40
Thank you
Answers
Answer:
20
50% of 40 is 20 because half of 40 is 20
Answer:
20
Step-by-step explanation:
1) Change 50% into a decimal
50% ⇒ 0.5
2) Multiply 0.5 by 40
0.5 × 40 = 20
Therefore, 50% of 40 is 20.
I hope this helps!
Please help asap I need this
Answers
Answer:
y= x+4
y=–4–2x
Step-by-step explanation:
using the formula (x–x1)/(x1–x2)= (y–y1)/(y1–y2)
find the corret measure of 6
Answers
Answer:
∠3 = 102°
Step-by-step explanation:
║A straight line always equals 180°. So all we need to do is subtract 78° ║from 180° for the missing angle.
180 − 78 = 102
∠3 = 102°
Further explanation:
║The image shows two slanted lines across one vertical line. If we visualize ║a circle around the point where the slanted line intercepts with the vertical ║line, we can solve this.
[we only need one line to work with, because both lines are parallel]
║That circle you visualized divides the intercept into four sectors. One of ║those sectors, or angles, is labled 78°. We need to find the angle measure ║underneath the labled sector. The sector in the bottom right corner has ║the same angle measure as the labled sector, which is 78°. The sector ║labled ∠3 has the same angle measure as the sector in the upper right.
[a full rotation around an angle is always 360°]
║This can be easily solved by subtracting 78° from 180° to get the angle ║measure for the upper right sector, which is equivalent to ∠3. Using basic ║subtraction, 180° − 78° = 102°. We can prove this by multiplying 78° by 2, ║multiplying 102° by two, and adding the products.
78 ⋅ 2 = 156
102 ⋅ 2 = 204
204 + 156 = 360
║Because the sums equal 360°, we can determine the answer is true.
I need help please.........
Answers
Answer:
What do you need help with?
Step-by-step explanation:
Calculate the value of Molly's name if an acute angle is worth 5 points, a right angle is worth 7 points, and an obtuse angle is worth 7 points.
Answers
The total value based on the information about the angles for Molly is 19 points.
How to illustrate the angles?From the information given, it was stated that acute angle is worth 5 points, a right angle is worth 7 points, and an obtuse angle is worth 7 points.
Therefore, the total value of the points will be:
= 5 + 7 + 7
= 19
In conclusion, the number of points will be 19.
Learn more about acute angles on:
https://brainly.com/question/6979153
answer for 30 points and brainilest
answer choices : 24.81 , $26.48 , 3.83 , 0.62 , $7.61 , $7.60 , $60.48 , $60.47 , 3.85 , 24.79 , $7.75 , 0.61 , $26.47 , 0.66 , 8.33 , $0.95
Answers
Answer:
8.33, 0.66, 24.79, 3.85, 0.61, 7.75, 60.47, 0.95, 26.48, 7.60
Step-by-step explanation:
NO LINKS!! But someone pls help me I barely have points to keep reposting plsss The center of gravity of a triangular solid with uniform thickness and density
is at the intersection of the
of the triangle
Answers
Answer: Centroid
Step-by-step explanation: The center of gravity of a triangular solid with uniform thickness and density is the centroid which is the point at which one can balance the triangle. It is the center of mass of an object with uniform density.
What are two partial products you would add to find 21 x 509?
Answers
What is the lateral surface area?
7 A cylindrical pipe measures 18 inches and has a diameter of 1 inch. How many square inches of metal
are used to make the pipe, which is open on both ends? Round your answer to the nearest hundredth.
1 2 3
4
5 6
7
8
9
10
Next
M
Answers
The coordinate plane shown below shows the locations of the library and park in the town where Rasheed lives.
Which expression represents the distance from the library to the park as modeled on the coordinate grid?
A. 5 + 3
B. 5 + -3
C. 5 - -3
D. -5 - -3
Answers
1. Oblicz:
a) Liczbę o 15% mniejszą od 60
b) Liczbę, której 15% stanowi 60
c) Jakim procentem 60 jest 15
d) O ile %większa jest 60 od 15
2. Kasia kupiła buty na wyprzedaży przecenione o 20%. Ich cena początkowa to 180 zł. W domu sprzedała je siostrze zarabiając na tym 10% wartości. Ile zapłaciła Kasi siostra za buty?
3. Liczba, którą powiększymy o 20% daje nam 30. Jaka to była liczba?
4. Za dwie książki zapłacono 42 zł. Ile kosztuje droższa z nich, jeżeli jedna jest o 25 % tańsza od drugiej?
Answers
Step-by-step explanation:
1. Oblicz:
a) Liczbę o 15% mniejszą od 60
b) Liczbę, której 15% stanowi 60
c) Jakim procentem 60 jest 15
d) O ile %większa jest 60 od 15
2. Kasia kupiła buty na wyprzedaży przecenione o 20%. Ich cena początkowa to 180 zł. W domu sprzedała je siostrze zarabiając na tym 10% wartości. Ile zapłaciła Kasi siostra za buty?
3. Liczba, którą powiększymy o 20% daje nam 30. Jaka to była liczba?
4. Za dwie książki zapłacono 42 zł. Ile kosztuje droższa z nich, jeżeli jedna jest o 25 % tańsza od drugiej?
which polygon matches this set of ordered pairs
Answers
Answer:
A
Step-by-step explanation:
To solve this problem, we can just locate all the points listed in the problem.
The ordered pairs match the rectangle which is answer choice A.
Answer:
A
Step-by-step explanation:
The reason is that J,K,L,M are the points and the numbers of each points inside the parenthesis are the values of x-axis and y-axis.The first one is x and the second one is y. For example:(x,y) — (1,5)
PLEASEEEEE HELPPPPPPP!!!!!
Answers
Answer:
(-4.5, 1.5)
Step-by-step explanation:
33 +4 = 52 – 10
This equation can be simplified by combining like terms to become 8.2 + 4 = -10.
If "False", explain why
True
False
Answers
When rounding to the nearest hundred thousand, the weight of a blue whale was rounded to 500,000 pounds. What is the least the blue whale could actually weigh?
Answers
Answer:
450,000 pounds
Step-by-step explanation:
to round off to the nearest hundred thousand, look at thousand figure - If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
to be rounded off to 500,000, it means that the thousand figure has to be between 50,000 - 99,000
the least figure would thus be 450,000
12. What property of multiplication is illustrated in 9 x 7=7 x 9?
Answers
Answer:
Commutative property
Step-by-step explanation:
9x7 is the same as 7x9 because you get the same answer but the questions are just switched.
Is the function linear? How do you know?
Answers
Solve for i
3 (.5i - 6 ) = 12
Answers
Answer:
2
Step-by-step explanation:
15i-18=12
15i= 12+18
15i= 30
I= 30/15= 2
7th Grade
A football player practices for 3 hours a day. This accounts for %25 of the time he is at school. How many hours is he at school?
If you want can you type or show how you got your answer.
Please help, Thank you.
Answers
256,934
What is value of the digit 5
Answers
Step-by-step explanation:
256,934
What is value of the digit 5
ten thousand
Answer:
[tex] \huge\red{\boxed{\mathfrak{Answer}}}[/tex]
➳ Value of 5 = 50, 000 or Fifty Thousand.
✏ Place Value - It's in ten thousand's place.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
please help i will give brainlyest i promise
Answers
Answer:
the fist one
Step-by-step explanation:
Answer:
its A
Step-by-step explanation:
i did the math
find the Probability of pulling a green marble from a bag with six green and eight blue marbles.
Answers
Answer:
6/14 or in its simplest form 3/7
15 ( 10 + y) = 3
i need help so bad
Answers
y = -49/5
hi
what is the surface area of a rectangular prism with the following measurements:
15 cm height
5 cm width
5 cm length
thanks
Answers
Answer:
350
Step-by-step explanation:
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please help me I really need to turn it in I hate khan academy
Answers
I’m not sure because I did this partly in my head but this should be right.
can someone help me
Answers
Answer:
7 ft 4 in
Step-by-step explanation:
There are 12 inches in 1 foot. So,
88/12 = 7 1/3 or 7 feet and 4 inches.
Can anybody tell the answer to this please!?
Answers
Answer:
the height when it was planted
Step-by-step explanation:
it started at 13 and grew 2.5 inches a week
A salesman who is on the road visiting clients thinks that, on average, he drives the same distance each day of the week. He keeps track of his mileage for several weeks and discovers that he averages 122 miles on Mon- days, 203 miles on Tuesdays, 176 miles on Wednesdays, 181 miles on Thursdays, and 108 miles on Fridays. He wonders if this evidence contradicts his belief in a uni- form distribution of miles across the days of the week. Explain why it is not appropriate to test his hypothesis using the chi-square goodness-of-fit test.
Answers
Answer:
The conditions are not met.
Step-by-step explanation:
The conditions for the chi square test for goodness of fit are
1) the sample is a random sample
2) the variable under study is categorical
3) all expected value of the number of sample observations are greater or equal to 5.
A)The observations must be independent
B) for 2 categories the expected values must be at least 5
C) for the 3 categories the expected values must be at least 1 and no more than 20% may be smaller than 5
The observations given may not be independent i.e have equal chances of occurrences or are maybe dependent on each other in the sense that there maybe a limit for his traveling mileage or the a limit for petrol ( fuel ) usage . So if he is required to drive 500 miles in a week each day mileage depends on the other day mileage .
Also we are given the information that keeps track of his mileage for several weeks, but we are not sure if several refers to more than 5 .
As both conditions are not clearly satisfied it is not appropriate to test his hypothesis using the chi-square goodness-of-fit test.
The sample must also be a random sample.
Here he has taken the mean of all the days.
In a survey asking what is your favorite dessert, 15% of the students said their favorite dessert is candy. This means that 12 students said that candy was their favorite dessert. How many students were surveyed? (Hint you are trying to find the whole).
Answers
Answer:
80 students
Step-by-step explanation:
Ratios:
[tex]\frac{12}{x} =\frac{15}{100} \\\\15x=1200\\x=80[/tex]
Double check:
80(0.15) = 12