Rectangular Garden
A rectangular garden shown above is enclosed by
60
60
feet of fencing on three sides and by a wall on the fourth side. One of the sides of the garden that is perpendicular to the wall is
x
x
feet long. In terms of
x
,
x
,
what is the length, in feet, of the side of the garden that is against the wall?
Answers
Answer:
The length, in feet, of the side of the garden that is against the wall is(60 - x - CD) ft.
Step-by-step explanation:
Consider the diagram below.
The wall is labelled as AD, the side perpendicular to the wall is labelled as AB and the side against the wall is labelled as CB.
It is provided that the rectangular garden is enclosed by 60 feet of fencing on three sides.
That is,
AB + CB + CD = 60 ft.
⇒ x + CB + CD = 60 ft.
Then the length, in feet, of the side of the garden that is against the wall is:
x + CB + CD = 60 ft.
⇒ CB = (60 - x - CD) ft.
Answer: 60-2x
Step-by-step explanation:
Related Questions
someone please help me with this.
Answers
Answer:
17
Step-by-step explanation:
What we have to realize is that RS + ST = RT. Since we know the value of all, let's substitute inside the equation.
[tex]23 - 2x + 9x - 5 = 39[/tex]
Now let's try and solve for x by isolating the variable on one side.
Combine like terms:
[tex]7x + 18 = 39[/tex]
Subtract 18 from both sides:
[tex]7x = 21[/tex]
Divide both sides by 7:
[tex]x = 3[/tex]
Now that we know the value of x, we can substitute it back into the equation for RS, [tex]23-2x[/tex].
[tex]23-2(3)\\\\23-6\\17[/tex]
Hope this helped!
−(−49) = −49 true or false?
Answers
I hope this helps you
false
cause two negative numbers multiple must be positive
(-1).(-49)
+49
The statement is false.
what is integers?An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, . 09, and 5,643.1.
RULE 1: The product of a positive integer and a negative integer is negative.
RULE 2: The product of two positive integers is positive.
RULE 3: The product of two negative integers is positive.
Given:
−(−49) = −49
Is we use the properties of integer
(+).(+)= (+)
(-).(-)=(+)
(-).(+)=(-)
(+).(-)= (-)
So, the statement −(−49) = −49 is false because (-).(-)= (+)
Then, −(−49) = +49
Learn more about integers here:
https://brainly.com/question/15276410
#SPJ2
How many inches are equivalent to 2 meters? Round your answer to the nearest tenth em Units The measurement 2 meters is equivalent to inches meters
Answers
Answer:
78.7
Step-by-step explanation:
2 m = 78.7402
Rounded to nearest tenth-
78.7
1) Let A = {x,y,z}. Give a function f : A → A which is neither constant nor the identity function 1A. (2) Give a function g : R → {−1,0,1} which is not constant. (3) Give a function h : Q → Z whose image is Z.
Answers
Step-by-step explanation:
and go outside take fresh air you breathe you get answers constrate answer
Suppose that computer literacy among people ages 40 and older is being studied and that the accompanying tables describes the probability distribution for four randomly selected people, where x is the number that are computer literate. Is it unusual (using P(x) less than 0.05) to find four computer literates among four randomly selected people?
Answers
Answer:
Step-by-step explanation:
The complete question is given thus:
Suppose that computer literacy among people ages 40 and older is being studied and that the accompanying tables describes the probability distribution for four randomly selected people, where x is the number that are computer literate. Is it unusual to find four computer literates among four randomly selected people?
x P(x)
0 0.16
1 0.25
2 0.36
3 0.15
4 0.08
Yes NoANSWER:
The odds that this will occur according to the chart are 0.08, or 8%, so although this is unlikely, it's not terribly unusual.
⇒ NO
So from the following we can say it is not unusual to find four (4) computer literates among four randomly selected people.
ok, so P(1) + P(2) + P(3) + P(4) + P(0) = 0.16+0.25+0.36+0.15+0.08 = 1
Whereas the chance of finding four (4) out of four (4) computer iteration is low when compared to other factors.
cheers i hope this helped !!
Solve the equation [tex]\frac{x}{3} -5=15[/tex]
Answers
Answer:
The answer is
x = 60Step-by-step explanation:
[tex] \frac{x}{3} - 5 = 15[/tex]Send 5 to the right side of the equation
That's
[tex] \frac{x}{3} = 15 + 5[/tex][tex] \frac{x}{3} = 20[/tex]Multiply both sides of the equation by 3
We have
[tex]3 \times \frac{x}{3} = 20 \times 3[/tex]x = 20 × 3
We have the final answer as
x = 60Hope this helps you
A deposit of $200 is made in an account at the beginning of each month at an annual interest rate of 3% compounded monthly. The balance in the account after n months is An = 200(401)(1.0025n ? 1).(Round your answers to two decimal places.)
(a) Compute the first six terms of the sequence {An}.
A1 = $
A2 = $
A3 = $
A4 = $
A5 = $
A6 = $
(b) Find the balance in the account after 5 years by computing the 60th term of the sequence.
A60 =
(c) Find the balance in the account after 15 years by computing the 180th term of the sequence.
A180 =
Answers
Complete questions:
A deposit of $200 is made in an account at the beginning of each month at an annual interest rate of 3% compounded monthly. The balance in the account after n months is An = 200(401)(1.0025^n - 1).(Round your answers to two decimal places.)
Answer:
Kindly check explanation
Step-by-step explanation:
Given the amount of balance in an account after. 'n' months using the eqation:
An = 200(401)(1.0025^n - 1)
(a) Compute the first six terms of the sequence {An}.
A1 = 200(401)(0.0025) = $200.50
A2 = 200(401)(1.0025^2 - 1) = $401.50
A3 = 200(401)(1.0025^3 - 1) = $603.00
A4 = 200(401)(1.0025^4 - 1) = $805.01
A5 = 200(401)(1.0025^5 - 1) = $1007.53
A6 = 200(401)(1.0025^6 - 1) = $10210.54
B) balance 5 years after n = 5 * 12 = 60
A60 = 200(401)(1.0025^60 - 1) = $12,961.67
C.) balance 15 years after ; n = 15 * 12 = 180
A180 = 200(401)(1.0025^180 - 1) = $45,508.02
DVD cases are sold in packages of 15. Padded mailing envelopes are sold in packets of 4.
What is the least number of cases and envelopes you could buy so that there is one case for each
envelope with none left over?
The least number of cases and envelopes you could buy, so that there is one case for each envelope with
none left over, is cases and envelopes.
Answers
Answer:
Step-by-step explanation: you want to divide the price of eatch to the pacets???
A carpenter needs to cut a 5-foot, 8-inch piece of wood form an 8-foot board to make a repair to a door. How many inches of wood will he have left after he makes the cut and repairs the door
Answers
Answer:
The left over wood in foot is 2.34 foot
or 2 foot 4 inch
Step-by-step explanation:
This problem desires to test our unit conversion skills
Step one: let us work with foot and convert inches to foot.
The total wood is 8 foot, and we are expected to subtract 5 foot 8 inches from it.
converting 8 inches to foot we have
1 inch -----0.0833333 foot
8 inch-----x foot
cross multiplying we have
x= 8*0.0833333
x= 0.66 foot
Hence the total number of wood to be subtracted in foot is 5.66 foot
i.e 8-5.66= 2.34 foot
The left over wood in foot is 2.34 foot
or 2 foot 4 inch
Find an equation of the plane that is parallel to the xz-plane and is located 25 units to the left of the xz-plane in standard perspective.
Answers
Answer:
y = 28
Step-by-step explanation:
Firstly, we will set y to be a constant. That is y= constant,j. The question directed us to "Find an equation of the plane that is parallel to the xz-plane and is located 28 units to the right of the xz-plane in standard perspective."
Recall that the value of y is equal to zero[0] for the xz plane. Therefore, as the question stated that the plane is located twenty-eight[28] units to the right, the required equation for the plane is equal to y = 28 which is the solution or answer to the problem.
A cohort study was conducted to examine the relationship between smoking and risk of lung cancer. Among 4000 smokers, 800 were eventually diagnosed with lung cancer and among 6000 non-smokers, 500 were eventually diagnosed with lung cancer. (Use this information to answer questions below)What was the relative risk of being diagnosed with lung cancer in this study?a. 0.08b. 0.13c. 0.20d. 0.40e. 2.40
Answers
Answer:
2.4
Step-by-step explanation:
A first number plus twice a second number is 4. Twice the first number plus the second totals 17. Find the numbers
Answers
Answer:
10; -3
Step-by-step explanation:
Let's represent the first number with x, and the second number with y. Now let's write these two equations to find the numbers.
x + 2y = 4
2x + y = 17
We can solve using the substitution method:
x = 4 - 2y
2x + y = 17
2 (4 - 2y) + y = 17
8 - 4y + y = 17
-3y = 9
y = -3
Now plug the value of y in to find x:
x + 2y = 4
x + 2(-3) = 4
x + -6 = 4
x = 10
So, the first number is 10, and the second number is -3.
Cheers.
New codes to destroy the First Order are known to exist. With probability 0.6, the codes are hidden by Leia; with probability 0.4, they are hidden by Han Solo. When Leia hides the codes, she hides them with BB-8 70% of the time and with C-3PO 30% of the time. Han Solo is equally likely to hide them with BB-8 and C-3PO a. What is the probability that the codes are with BB-8? b. Given that the codes are with C-3PO, what is the probability the codes were hidden by Han Solo?
Answers
Answer: (a). 0.62 (b). 0.53
Step-by-step explanation:
Let us start by defining some events seen:
Given;
L rep the event that codes hidden Leia
BB represents the codes hidden in BB-8
H is the event that codes hidden by Hah
C-3PO rep the codes hidden in C3PO
Giving the probabilities, we have that
P(L) = probability that codes are hidden by Leia = 0.6
P(H) = probability that codes are hidden by Hah = 0.4
where P(BB/L) = 70/10 i.e 70%
P(C-3PO/L) = 1 - P(BB/L) = 1 - 7/10 = 3/10
Also, P(BB/H) = 1/2 = P(C-3PO/H)
We can say that Han Solo is likely to hide them in aceta BB-8 and C-3PO
To begin,
(a). The question tell us to find the probability that the codes are with BB-8.
First of all, we find P(BB).
P(BB) = P(L)*P(BB/L) + P(H)*P(BB/H)
solving this we get
P(BB) = 0.6*7/10 + 0.4*1/2 = 0.62
Therefore, the probability that the codes are with BB-8 = 0.62
(b). The second question says;
Given that the codes are with C-3PO, what is the probability the codes were hidden by Han Solo?
This tell us to find P(H/C-3PO)
P(H/C-3PO) = P(C-3PO/H)*P(H) / P(C-3PO/H) + P(C-3PO/L)*P(L)
inputting the values gives us;
P(H/C-3PO) = 1/2 * 0.4 / ( 1/2 *0.4 + 3/10 *0.6) = 0.53
SO we have that the probability the codes were hidden by Han Solo = 0.53
cheers I hope this was helpful!!
What is the square root of 190,290,390,545
Answers
Answer:
Step-by-step explanation:
Answer:
190 = 13.78
290 =17.02
390 = 19.74
545 = 23.34
Step-by-step explanation:
if you need simplest ratical let me know
Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.
Answers
Answer:
Step-by-step explanation:
Hello, please consider the following.
[tex]3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)[/tex]
So this is divisible by 3.
Now, to prove that this is divisible by 9 = 3*3 we need to prove that
[tex]4^n+17[/tex] is divisible by 3. We will prove it by induction.
Step 1 - for n = 1
4+17=21= 3*7 this is true
Step 2 - we assume this is true for k so [tex]4^k+17[/tex] is divisible by 3
and we check what happens for k+1
[tex]4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17[/tex]
[tex]3\cdot 4^k[/tex] is divisible by 3 and
[tex]4^k+17[/tex] is divisible by 3, by induction hypothesis
So, the sum is divisible by 3.
Step 3 - Conclusion
We just prove that [tex]4^n+17[/tex] is divisible by 3 for all positive integers n.
Thanks
translation to an equation and solve. Let x be the unknown number. 120% of what number is 60? Type an integer or a decimal.
Answers
Answer:
72
Step-by-step explanation:
120% × 60 =
(120 ÷ 100) × 60 =
(120 × 60) ÷ 100 =
7,200 ÷ 100 =
hopefully this helped
What is the slope of the graph ? Leave your answer as a reduced fraction .
Answers
I used (-8,4) and (0,-2)
To determine the slope, use delta y divided by delta x.
m = (4 - (-2))/(-8 - 0)
m = 6/-8
m = -3/4
Therefore the slope is -3/4.
Write each ratio statement as a fraction and reduce to lowest terms if possible:
18 to 24 =
5 to 15 =
14:42 =
15 cents to 18 cents =
Answers
The answers are:
18 to 24 = [tex]\frac{18}{24} = \frac{3}{4}[/tex]
5 to 15 = [tex]\frac{5}{15} = \frac{1}{3}[/tex]
14:42 = [tex]\frac{14}{42} = \frac{1}{3}[/tex]
15 cents to 18 cents = [tex]\frac{15}{18} = \frac{5}{6}[/tex]
Explanation:
To write a fraction using a ratio, simply use the first number as the numerator (top number), in this case, the numbers 18, 5, 14, and 15, and the second or biggest number as a denominator (bottom number), in this case, the numbers 24, 15, 42 and 18. This means the fractions are [tex]\frac{18}{24}[/tex], [tex]\frac{5}{15}[/tex], [tex]\frac{14}{42}[/tex] , and [tex]\frac{15}{18}[/tex].
The second step is to reduce or simplify the fractions, which means the numbers in a fraction are divided by the same factor (a number that divides another without a remainder). Additionally, to do this, it is important to reduce the fraction to its minimum.
[tex]\frac{18}{24}[/tex] divide this by 6, which is equivalent to [tex]\frac{3}{4}[/tex]
[tex]\frac{5}{15}[/tex] divide this by 5, which is equivalent to [tex]\frac{1}{3}[/tex]
[tex]\frac{14}{42}[/tex] divide this by 14. which is equivalent to [tex]\frac{1}{3}[/tex]
[tex]\frac{15}{18}[/tex] divide this by 3, which is equivalent to [tex]\frac{5}{6}[/tex]
Find the slope of the line (3,14) and (6,10)
Answers
Answer:
The slope is
[tex] - \frac{4}{3} [/tex]
Step-by-step explanation:
To find the slope given two points we use the formula
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
where
m is the slope
(x1 , y1) and (x2 , y2) are the points
From the question
The points are (3,14) and (6,10)
The slope of the line (3,14) and (6,10) is
[tex]m = \frac{10 - 14}{6 - 3} = \frac{ - 4}{ 3} [/tex]
[tex]m = - \frac{4}{3} [/tex]
Hope this helps you
-1/5-(-3/8)=?
I need a step by step to solve this equation
Answers
Answer:
7/40
Step-by-step explanation:
Simplify the following:
-1/5 + 3/8
Hint: | Put the fractions in -1/5 + 3/8 over a common denominator.
Put -1/5 + 3/8 over the common denominator 40. -1/5 + 3/8 = (-8)/40 + (5×3)/40:
(-8)/40 + (5×3)/40
Hint: | Multiply 5 and 3 together.
5×3 = 15:
(-8)/40 + 15/40
Hint: | Subtract the fractions over a common denominator to a single fraction.
-8/40 + 15/40 = (-8 + 15)/40:
(-8 + 15)/40
Hint: | Subtract 8 from 15.
-8 + 15 = 7:
Answer: 7/40
Simplify the expression: 7h+2+4
Answers
Answer:
[tex] \boxed{ \huge{ \bold{ \sf{ \boxed{7h + 6}}}}}[/tex]Step-by-step explanation:
[tex] \sf{7h + 2 + 4}[/tex]
Add the numbers
⇒[tex] \sf{7h + 6}[/tex]
Hope I helped!
Best regards!
Answer:
7h+6
Step-by-step explanation:
We are given the expression:
7h + 2 + 4
and asked to simplify.
In order to simplify an expression, we must combine like terms. In this expression, we have 2 constants, or terms without variables. The 2 constants and 2 and 4. Add 2 and 4.
7h + (2+4)
7h+6
There are no more like terms, so this expression is simplified.
The expression 7h+2+4 simplified is 7h +6
can you help me with these questions
Answers
Answer:
see below (I hope this helps!)
Step-by-step explanation:
41. √20 = √4 * 5 = √4 * √5 = 2√5
43. The sum of interior angles in a triangle is 180°, therefore, x = 180 - (75 + 64) = 41°.
45. 15 + 5(2x - 3) = 15 + 5(2x) + 5(-3) = 15 + 10x - 15 = 10x
47. Complementary angles have a sum of 90°, therefore, x = 90 - 48 = 42°.
Which of the following rewrites shows the correct process for completing the square? A. 4x^2+9x+5=0 rewritten as 4x^2+9x+81/4=-5+81/4 B. 4x^2+12x+7=0 rewritten as x^2+3x+9/4=-7/4+9/4 C. 3x^2-6x-4=0 rewritten as x^2-2x+1=4+1 D. 2x^2-8x-9=0 rewritten as 2x^2-8x+16=9+16
Answers
Answer: B
Step-by-step explanation:
ax² + bx + c = 0 is rewritten as x² + (b/a)x + (b/2a)² = -c/a + (b/2a)²
A) 4x² + 9x + 5 = 0 --> x² + (9/4)x + (9/8)² = -5/4 + (9/8)²
= x² + (9/4)x + 81/64 = -5/4 + 81/64
B) 4x² + 12x + 7 = 0 --> x² + (12/4)x + (12/8)² = -7/4 + (12/8)²
= x² + 3x + 9/4 = -7/4 + 9/4 <---- this works!
C) 3x² - 6x - 4 = 0 --> x² + (-6/3)x + (-6/6)² = 4/3 + (-6/6)²
= x² - 2x + 1 = 4/3 + 1
D) 2x² - 8x - 9 = 0 --> x² + (-8/2)x + (-8/4)² = 9/2 + (-8/4)²
= x² - 4x + 4 = 9/2 + 4
Answer:
B
Step-by-step explanation:
its the correct answer :)
In a polynomial do you identify how many terms are in a problem before or after you solve it?
Answers
Answer:
All you have to do to identify the number of terms in a polynomial is to count the number of separate parts in the polynomial separated by a plus or minus (terms)
Step-by-step explanation:
what is a histogram?
Answers
Answer:
A histogram is a graph that organizes a group of data points. A histogram graphically summarize the distribution of a univariate data set.
Use the confidence interval to find the margin of error and the sample mean. (1.71, 2.05)
Answers
Answer:
Margin of error = 0.17Sample mean = 1.88Step-by-step explanation:
Given:
Sample 1.71 , 2.05
Find:
Margin of error
Sample mean
Computation:
1. Margin of error = (2.05 - 1.71) / 2
Margin of error = 0.34 / 2
Margin of error = 0.17
2. Sample mean = (2.05 + 1.71) / 2
Sample mean = 3.76 / 2
Sample mean = 1.88
Which location has the least elevation
Answers
Answer:
the Dead Sea has the least elevation.
PLEASE HELP ASAP it is my homework
Answers
Answer:
0.4
Step-by-step explanation:
The number of ways to select 3 points out of 5 points:
N1 = 5C3 = (5 x 4 x 3)/(1 x 2 x3) = 10
The number of ways to select 3 points out of 4 points that are already collinear:
N2 = 4C3 = (4 x 3 x 2)/(1 x 2 x 3) = 4
=> The probability of selecting 3 points that are collinear:
P = N2/N1 = 4/10 = 0.4
Good day, Harry!
A bag contains 4 red, 6 blue, 4 yellow and 2 green marbles. Once a marble is selected, it is not replaced. What is the probability that in 3 successive draws you will get exactly one blue, one red and no green
Answers
Answer:
0.0857
Step-by-step explanation:
What we need is, B R -G, successively. We do not add each probability, but multiply them.
P(1st marble is B) = 6 / 16
P(2nd marble is R) = 4 / 15
*your sample space decreases because you took one marble already before, the Blue one
P(3rd marble is not Green) = 12/14
** it's 12 because you took 2 non-Green marbles before
*** it's 14 because you took 2 marbles before
To arrive at the final answer, just multiply all probability.
Solve
x2+ 4x = 4 for x by completing the square.
Answers
Answer:
x = -2 +/- √8 or 0.828.... and -4.828....
Step-by-step explanation:
x² + 4x + 4 = 4 + 4
(x + 2)² = 8
x + 2 = +/-√8
x = -2 +/- √8