Answer:
length of the sheet of paper is 11 in.
Step-by-step explanation:
Let "a" = short end of paper and let "b" = long end of paper.
Let "p" = perimeter
1st equation: p = 39"
2nd equation: 2a + 2b = p plug in "39" for diameter; result:
2nd equation: 2a + 2b = 39
3rd equation: b = 2a - 6
replace "b" in 2nd equation with "2a - 6" from 3rd equation, result:
2a + 2(2a - 6) = 39 simplified to:
2a + 4a - 12 = 39 simplified to:
6a - 12 = 39 simplified to:
6a = 51 simplified to:
a = 51/6 = 8.5
so, a = short end of paper = 8.5 inches
In 3rd equation (b = 2a - 6), substitute "a" with "8.5"
3rd equation becomes: b = 2(8.5) - 6 simplified to:
b = 17 - 6 = 11
so, b = long end of paper = 11 inches
answer to question is: dimensions of paper are ---
8.5 inches wide by 11 inches long
Answer:
The answer is 11
Step-by-step explanation:
So perimeter is base+ base+length+length. Therefore you take 8.5+8.5 which is 17 and subtract it from 39 to get 22. You take 22 and divide it by 2 which leaves you with 11.
find m
please help me
Answer:
∠ADE = 59°
Step-by-step explanation:
4x + 15° + 13x + 7° = 90°
combine like terms:
17x + 22° = 90°
subtract 22° from both sides of the equation:
17x = 68°
divide both sides by 17:
x = 4
∠ADE = ∠CBD = 13(4) + 7 = 59°
Answer:
m∠ADE = 59°Step-by-step explanation:
m∠ADE is the same as m∠BCE, so
m∠ADE = (13x+7)°
In rectangle all angles are 90°, so:
4x + 15 + 13x + 7 = 90
17x + 22 = 90
17x = 90 - 22
17x = 68
x = 68÷17 = 4
Therefore:
m∠ADE = (13×4+7)° = 59°
What is the median test score of the data shown in the box plot?
Answer:
75
Step-by-step explanation:
Note the location of the vertical line inside the box. This locates the median. Looking carefully, we see that this line hovers over 75 in the list of test scores.
The median is 75. Look up "median" and "box plot" if you need more information.
What exponential function represents the data in the table?
x f(x)
2 25
3 125
4 625
f(x) = x4 + 9
f(x) = 4x + 9
f(x) = x5
f(x) = 5x
Answer:
The Fourth one
[tex]f(x) = {5}^{x} [/tex]
Step-by-step explanation:
I hope that is useful for you :)
Using the graph, determine the coordinates of the vertex of the parabola
What is 3x3x3x3x3x3x3x33x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x33x3x33x3x3x3x3x3x3x3x3x33x3x3x3333333x333x3x3x3x3x3x3x3x3
Answer:
calculadora es muy bonita hoy
Step-by-step explanation:
Answer:
440000079
Step-by-step explanation:
Apply the problem-solving techniques to solve the following
problem.
Population decrease In 1990, a rural area had 1200 bird
species. If species of birds are becoming extinct at the rate of
1.5% per decade (10 years), how many bird species will there be
left in the
year
2020?
Answer:
By 2020, there will be 1,147 species of birds left
Step-by-step explanation:
The general model for an exponential decrease is;
y = I(1 - r)^t
where in this case;
y is the number of bird species at a particular decade from the initial
I is the number of birds initially at 1990
r is the decrease percentage which is 1.5% per decade ; 1.5% = 1.5/100 = 0.015
t in this case will be the number of decades after the initial
Mathematically, a decade is 10 years
The difference between 2020 and 1990 is 30
The number of decades in 30 years is 30/10 = 3
so t will be 3 here
Substituting these values into the equation, we have
y = 1200(1-0.015)^3
y = 1200(0.985)^3 = 1,146.8
To the nearest whole number, this is 1,147
Guys please could you answer this question I'm unable to solve this assignment
I’m having trouble with geometry, if anyone could help me i would appreciate it :)
4) If there was a coupon for 40% off, what is the final deconstructed
percent written as a DECIMAL? *. A.1.4
B.0.6
C.0.4
D.60%
Answer:
c
Step-by-step explanation:
Think of it like this. When you convert a percent to a decimal, just put a decimal point before the number. For example, 40%. You would put . before 40, making it 0.40, and you don't need the zero, so it becomes 0.4. For something like 8%, you would first put a zero before the 8, and then put a period before the zero, like so: 8%= 08%=0.08
Consider a RST, as shown
In rest cos r=3/5. What is sin t?
Answer:
:?
Step-by-step explanation:
:?
I don't know what the answer is. Please Help
Answer:
D.
Step-by-step explanation:
Hope this helps
~R3V0
What is the slope of the line 4x – 2y = 5?
–4
–2
2
4
Answer:
It is 2.
Step-by-step explanation:
The equation becomes -2y=-4x=5
But you divide by -2 to get y solo. So -4/-2=2.
Answer:
slope = 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
4x - 2y = 5 ( subtract 4x from both sides )
- 2y = - 4x + 5 ( divide all terms by - 2 )
y = 2x + [tex]\frac{5}{2}[/tex] ← in slope- intercept form
with slope m = 2
A and b are positive integers and a-b=2. Evaluate the following:
27^1/3b/9^1/2a
thank you very much
Answer:
Answer: 1/9
Step-by-step explanation:
(27^1/3 = 3
9^1/2 = 3
3^b
====
3^a
3^(b - a)
3^-2 = 1/9
1/9
Use both the first and second derivative tests to show that f(x) = 3x2 − 6x + 1 has a relative minimum at x=1.
Step-by-step explanation:
Given: f(x) = 3x^2 − 6x + 1. x ∈ (-∞, ∞)
now differentiating f(x) w.r.t. x we get
f'(x) = 6x-6
equating it 0 we get
x = 1, which is a critical point
Now using second derivative test to check relative maxima or minima
f''(x) = 6 >0
⇒ x=1 is a relative minima.
also, x=1 f(1) = 3-6+1 = -2
how would I word that it is being doubled in size?
The question is how did D get to E.
Answer:
It doubled up is what you could say
Simplify 15.6 divided by negative 3..
Answer:
-5.2
Step-by-step explanation:
15.6 ÷ (-3) = -5.2
15 chocolate were distributed between raju and sanju in the ratio 2:3 . How many chocolates did raju receive?
Answer:
6chocolates
Step-by-step explanation:
Given
The total number of chocolate = 15chocolates
If it is divide into ratio 2:3
total ratio = 2+3
Total ratio = 5
Number of chocolate raju receives = 2/5 * 15
Number of chocolate raju receives = 2 * 3
Number of chocolate raju receives = 6chocolates
The number of chocolates that Raju received are; 6 chocolates
ProportionWe are told that;
Number of chocolates distributed = 15
Ratio of sharing between Raju and sanju = 2:3
Thus, fraction to be received by both of them are;
For Raju = 2/(2 + 3) = 2/5For Sanju = 3/(2 + 3) = 3/5Thus;
Amount of chocolates for Rajus = 2/5 × 15 = 6
In conclusion, Raju received 6 chocolates.
Read more about proportion at; https://brainly.com/question/1781657
What is the term for a straight line extending from the center of a circle to the outside surface of a circle?
Answer:
radius
Step-by-step explanation:
hope this helps
How Roses Got Their Thorns.
Many years ago ,in the land of Lucia, there was a beautiful queen named —————. Queen —————lived in a century old castle surrounded by a forest on the north side,a maze on the east side, a fountain on the west side and a rose garden on the south side. Her private living quarters had a large window facing the south. Each morning she would start her day by opening her window to the sweet aroma coming from her rose garden. She had a special servant whose only job was to care for her roses. Queen ———- rose garden was her favorite place and every day she would spend time there relaxing and caring for her lovely blooms. Her garden was world famous and people came from miles around to visit and enjoy their beauty and lovely fragrance.
One day she notice there were fewer blooms than usual and she became concerned. She thought her servant was not doing his job,so she obtained a new gardener. The blooms continued to disappear and then she noticed that plants were starting to disappear. Finally, she had some of her servants start guarding the roses. They discovered that the visitors were picking and digging up her roses. She loved sharing the beauty of her garden with her subjects but she had to find a way to protect her roses . Several attempts were tried to protect the. She had a fence built,but the people knocked it down. She had a wall built but they climbed over it. She put guards around but the guards could not be everywhere and the people continued to take her roses . Finally, she sought the advice the local wizard . His solution was to put a curse on the roses. Queen———-agreed to a curse as long as it did not affect the aroma or the beauty of them Beginning that day the loveliest of flowers started growing thorns and still do. P
Answer:
Queen Marie Antoinette
y cant people just put the answer y do they have to put all the things like just put a,b,c,d or ect...
what do you mean bruv?
N O R M A L people put the answer up top
Please help!! Brainlyest!!
i need help with a question what is 4n=12?
Answer:
n=3
Step-by-step explanation:
To solve the equation divide both sides by 4.
4n=124n/4=12/4n=3I'm assuming that you want to find n...
A group of friends wants to go to the amusement park. They have no more than $125 to spend on parking and admission. Parking is $13,and tickets cost $12.50 per person, including tax. What is the maximum number of people who can go to the amusement park?
Answer:
8
Step-by-step explanation:
Let x be the number of people
12.5x + 13 < 125
x < 8.96
Max number of x is 8
Marcello sells coupon books to his neighbors. 4 neighbors each buy 2 coupon books. There are 8 coupons in each book. What is the total number of coupons that all of his neighbors will get? Enter your answer in the box.
Answer:
64
Step-by-step explanation:
Marcello sells coupon books to his neighbors
4 neighbors each buy 2 coupon books
Each book have 8 coupons
Therefore the total number of coupons that all neighbors will get can be calculated as follows
Each neighbor will get 16 coupon
Hence the whole neighbors will get
16×4
= 64 coupons
Can someone help me with this PLZ
Answer:
6 and 8
Step-by-step explanation:
Answer:
6 and 8
Step-by-step explanation:
Q1: 6 and 8
Q2: 8 and 12
Q3: 12 and 15
Q4: 15 and 20
Brainlist Pls!
r+b=7
3.75r+2.75b=22.25
Answer:
Step-by-step explanation:
hello :
r+b=7... (*)
3.75r+2.75b=22.25.... (**)
use (*) : r = 7 - b
put this value in (**) :
3.75(7 - b)+2.75b = 22.25
26.25 -375b +2.75b = 22.5
-375b +2.75b = 22.5 - 26.25
- b = -3.75
so : b = 3.75
but : r = 7 - b
r = 7 - 3.75
r = 3.25
guyssss ANYONEEE PLSSS!!!!!I NEED HELP LIKE ACTUALLY
Answer:
infinite number of solutions
. A movie company sells DVDs on line. Each
DVD costs $9.95. No matter how many you
order, the shipping charge is $3.59. Your most
recent order came to a total of $33.44.
Please help on all questions in picture
Multiply by cost of a dvd by the number of dvds bought ( x) and add the shipping charge.
A) 33.44 = 9.95x + 3.59
Subtract 3.59 from both sides.
29.85 = 9.95x
Divide both sides by 9.95
X = 29.85/9.95
X = 3
They bought 3 dvds.
B) 33.49-3.59 = 29.85
29.85/9.95 = 3
C) the steps were the same but solving arithmetic you didn’t have to do steps on both sides of an equation.
How can I Solve this problem Solve. for g.
18 = 3g
g
Answer:
[tex]g = 6[/tex]
Step-by-step explanation:
1) Diving both sides by 3.
[tex] \frac{18}{3} = g[/tex]
2) Simplify 18/3 to 6.
[tex]6 = g[/tex]
3) Switch sides.
[tex]g = 6[/tex]
Therefor, the answer is g = 6.
A textbook company states that the average time a student needs to take a quiz from its book is 30 minutes with a standard deviation of 3 minutes. A teacher using the book is not sure that this is correct for her classes and wants to check. She collects data on 10 random students and finds that the average time to take the quiz was only 25 minutes. As a result, the teacher performs a two-tailed hypothesis test with a significance level of 5%. Which conclusion is valid based on the results of the test
Answer:
We conclude that her students, on average, do not take 30 minutes on the quiz, contrary to what the textbook company states.
Step-by-step explanation:
We are given;
Population mean; μ = 30 minutes
Population standard deviation; σ = 3 minutes
Sample size; n = 10
Sample mean; x¯ = 25
Significance level = 5% = 0.05
Let's define the hypotheses;
Null hypothesis; H0: μ = 30
Alternative hypothesis: Ha: μ ≠ 30
Let's find the test statistic;
z = (x¯ - μ)/(σ/√n)
z = (25 - 30)/(3/√10)
z = -5.27
From online p-value from z-score calculator attached using, z = -5.27, significance level = 0.05, two tailed hypothesis, we have;
p < 0.00001
This is less than the significance level, and so we will reject the null hypothesis and conclude that Her students, on average, do not take 30 minutes on the quiz, contrary to what the textbook company stated.
Answer:
A. Her students, on average, do not take 30 minutes on the quiz, contrary to what the textbook company stated.