9514 1404 393
Answer:
a) 1
b) 3
c) {{3, 6, 7}, {8, 12, 14}, {9, 10, 17}, {11, 13, 16}, {15, 18, 19}
d) cannot do. The numbers cannot add up.
Step-by-step explanation:
a) The minimum difference between rod lengths is 1. A unit-length rod cannot be used, because the sum of that and another length cannot exceed a third length. 1 + 2 = 3; is not greater than 3.
__
b) The 3 possible pairs of triangles are
{2, 3, 4}, {5, 6, 7}
{2, 4, 5}, {3, 6, 7}
{2, 6, 7}, {3, 4, 5}
__
c) There are numerous ways to make 5 triangles having an even perimeter. One is shown above. Several more are ...
{5, 12, 15}, {7, 17, 18}, {8, 10, 16}, {9, 13, 20}, {11, 14, 19}
{5, 15, 16}, {6, 9, 13}, {7, 14, 19}, {8, 11, 17}, {10, 12, 18}
{3, 9, 10}, {5, 15, 16}, {7, 13, 18}, {8, 11, 17}, {12, 14, 20}
{4, 9, 11}, {5, 12, 13}, {7, 18, 19}, {8, 15, 17}, {10, 16, 20}
{5, 12, 13}, {7, 18, 19}, {8, 11, 15}, {9, 17, 20}, {10, 14, 16}
__
d) No such set exists.
The sum of the 19 rod lengths is 209. Even if we throw out the rod of length 20 (to make a set of 18 rods), the perimeter must be at least 2(19)+1 = 39. Six triangles with that perimeter would require a total rod length of 6(3) = 234. The total length of rods is insufficient to make the required triangles.
Jarred went to the bookstore,
He bought a softcover book which was on sale for 10%
off. He spent $18 on the book, What was the original
price?
Answer:
the original price of the book is $20
Step-by-step explanation:
sometimes in a question, they put things in the question that don't actually help us get to the answer. usually we ignore it, but i'm going to list them out just to help you a bit more.
Things that are useless:
his name is Jarred (his name could be gary, it doesn't affect us getting the answer)he went to a bookstore (he could've gone to the library, it wont affect us getting to the answer)the book is softcover (it could be any type of book, wont affect us getting to the answer)the item is a book (it could be anything that he bought, wont affect us getting to the answer.)Things that are helpful:
the book was on sale (helps us know that the price was reduced)the book was on sale 10% (helps us know how much it was reduced by)he spent $18 for the reduced price (helps us know how much he spent)Ok, now that we know those, let's work on the question.
let b be the original book price
we need to find 10% so we have to use 90% (because 100 - 10 = 90)
if we needed to find 20% we would use 80% (because 100 - 20 = 80)
and so on.
90% of b = 18 (90% of the og. book price equals 18)
90/100 × b = 18 (write a correct equation and make the percent a fraction)
9/10 × b = 18 (simplify both sides of the equation)
9 × b = 180 (multiply both sides of the equation to get rid of fraction)
b = 20 (divide both sides of the equ. to get b by itself)
the original price of the book is $20
hope this helped :D
good luck my friend
- cheesetoasty
Ellen jogs 2.45 miles each day. In the month
of July she jogged 26 days. How far did Ellen
jog in the month of July?
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 63.7 miles
Explanation:
2.45 x 26
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
Ellen jogged for 26 days in month of July is total of 63.7 miles
Step-by-step explanation:
Braniliest please
The numerator that makes the equation true
Select the values that are solutions of the inequality X 3<4.
X=4
X=8
X= 12
X= 16
X= 20
X= 24
Answer:
x=12 if you divide you'll get 4
This is due today! Please answer this:
Answer:
1. - 6.75
2. 15/28
3. - 3.3
Step-by-step explanation:
The first is correct because a positive times a negative is a negative.
The second is incorrect. It should be 15/28 because a negative times a negative is a positive.
The third is incorrect because a positive times a negative is a negative.
The answer should be
1. - 6.75
2. 15/28
3. - 3.3
What is the median of the dot plot for 4,6,6,7,9
Answer:
6
Step-by-step explanation:
6 is in the middle with 2 numbers on each side so it is the medium
(7x-10) (7x+5) (5x+55)
Answer:
245x^2+2520x^2−2175x−2750
Step-by-step explanation:
=((7x−10)(7x+5))(5x+55)
=((7x−10)(7x+5))(5x)+((7x−10)(7x+5))(55)
=245x^3−175x^2−250x+2695x^2−1925x−2750
=245x^2+2520x^2−2175x−2750
Hope it helps :)
ZABD and ZDBC are supplementary angles.
What is the measure of x?
x = [?]°
D
As
126
B
-С
Angles are not drawn to scale.
Enter
x=54°
Answer:
x+126=180 supplementary
x=180-126
x=54
What is the distance between J and K
Answer:
9 i think
Step-by-step explanation:
i don really know
At the play, sodas cost $2 and popcorn cost $3 during intermission. If your group bought a total of 18 items ar
spend $47, how many popcorns and how many sodas did you buy?
Will give brainly also no links
Answer:
7 sodas and 11 popcorns
Step-by-step explanation:
7 times 2 is 14
11 times 3 is 33
14+33= 47
They bought 18 items
f(x)=-x^2+x-5
What are the coordinates of the vertex of the parabola of the function ?
Answer: I took a screen shot of it hope it helps
Step-by-step explanation:
I need help ASAP 30 points
Volume = length x width x height
Volume = 1.4 x 1.3 x 3.5 = 6.37 cubic cm
The following table shows the values of y for different values of x:
x y
0 0
1 0
2 4
Which statement best explains whether the table represents a linear function or a non-linear function?
It represents a linear function because its points are on a straight line.
It represents a linear function because its points are not on a straight line.
It represents a nonlinear function because its points are on a straight line.
It represents a nonlinear function because its points are not on a straight line.
Answer:
I believe it is D
Step-by-step explanation:
Not 100% dont trust double check
163,48,268,353,353,48,107,299,268,112,173,489
Let f(x) = – x-1 and g(x) = x² – 4.
Find (f o g)(3).
Then (f o g)(3) =
Answer:
answer is -6
Step-by-step explanation:
hope it helped!!!
-4x =14 please explane
Answer:
x=-3.5
Step-by-step explanation:
14/-4 = -3.5
Answer:
If you're asking how -4x could equal 14, here's how:
Substitute -3.4 for x, so -4x-3.5, which would equal 14.
if c and d vary inversely, and d=5/3 and c=5. write a function that models inverse variation and find d when c=10
Answer:
xy = k
solve for k...
(8) * (8/3) = (64/3) = k
y = k / x
when x = 4,
y = (64/3) * (1/4) = (16/3)
Step-by-step explanation:i g o o g l e it
For an upcoming concert, each customer may purchase up to 3 child tickets and 3 adult tickets. Let C be the
number of child tickets purchased by a single customer. The probability distribution of the number of child
tickets purchased by a single customer is given in the table below.
Com
No
с
2
0 1
0.4 0.3
3
0.1
p(c)
0.2
(a) Compute the mean and the standard deviation of C.
(b) Suppose the mean and the standard deviation for the number of adult tickets purchased by a single customer
are 2 and 1.2, respectively. Assume that the numbers of child tickets and adult tickets purchased are
independent random variables. Compute the mean and the standard deviation of the total number of adult
and child tickets purchased by a single customer.
(c) Suppose each child ticket costs $15 and each adult ticket costs $25. Compute the mean and the standard
deviation of the total amount spent per purchase.
(a) The mean of C is 1.0 and the standard deviation is 1.0.
(b) The mean of the total number of adult and child tickets purchased is 3.0, and the standard deviation is approximately 1.56.
(c) The mean amount spent per purchase is $65, and the standard deviation is approximately $33.54.
(a) To compute the mean of C, we multiply each value of C by its corresponding probability and sum them up:
Mean (μ) = (0 * 0.4) + (1 * 0.3) + (2 * 0.2) + (3 * 0.1) = 0 + 0.3 + 0.4 + 0.3 = 1.0
To compute the standard deviation, we first need to calculate the variance. The variance (σ²) is found by summing the squares of the differences between each value of C and the mean, weighted by their corresponding probabilities:
Variance (σ²) = [(0 - 1)² * 0.4] + [(1 - 1)² * 0.3] + [(2 - 1)² * 0.2] + [(3 - 1)² * 0.1] = 0.4 + 0 + 0.2 + 0.4 = 1.0
Finally, we take the square root of the variance to obtain the standard deviation (σ):
Standard Deviation (σ) = √(1.0) = 1.0
(b) Since the numbers of child tickets and adult tickets purchased are independent, the mean of the total number of adult and child tickets purchased is the sum of their individual means:
Mean (μ) = Mean of child tickets (μ c) + Mean of adult tickets (μ a) = 1.0 + 2 = 3.0
The variance of the total number of tickets purchased is the sum of the variances of the child and adult tickets:
Variance (σ²) = Variance of child tickets (σ c²) + Variance of adult tickets (σ a²) = 1.0 + (1.2)² = 2.44
The standard deviation of the total number of tickets purchased is the square root of the variance:
Standard Deviation (σ) = √(2.44) ≈ 1.56
(c) To compute the mean and standard deviation of the total amount spent per purchase, we need to multiply the number of child tickets and adult tickets purchased by their respective prices and sum them up.
Mean (μ) = Mean number of child tickets (μ c) * Price of child ticket + Mean number of adult tickets (μ a) * Price of adult ticket
Mean (μ) = 1.0 * $15 + 2 * $25 = $15 + $50 = $65
Variance (σ²) = Variance of child tickets (σ c²) * (Price of child ticket)² + Variance of adult tickets (σ a²) * (Price of adult ticket)²
Variance (σ²) = 1.0 * ($15)² + (1.2)² * ($25)² = $225 + $900 = $1125
Standard Deviation (σ) = √(1125) ≈ $33.54
Therefore, the mean amount spent per purchase is $65, and the standard deviation is approximately $33.54.
To know more about standard deviation:
https://brainly.com/question/13498201
#SPJ6
1895 x 7895+ 6575-1.753=?
Answer:
Step-by-step explanation:
1895 x 7895 + 6575 - 1.753
14961025 + 6575 - 1.753
14967600 - 1.753
14,967,598.247
The height of a ball dropped from the top of a building 512 feet high is given by h(t) = -16t2 + 512, where t is in seconds and h is in feet. a) When will the ball reach the ground? Approximate your answer to two decimal places. (Hint: The height is O when it hits the ground.)
b) Why can t only be a positive value? Explain in a complete sentence.
Suppose a white dwarf star has a radius of approximately 9.0415 x 10 km. Use the formula 4 to find the approximate surface area of the star.
Please show work and not just a rando scam link ._.
Answer:
I like doods
Step-by-step explanation:
Pp + pp
If the distributions of ratings are the same for those Snoqualmie members living less than 25 miles from the
waterfall and those living more than 25 miles from the waterfall, which of the following is equal to the expected
count of members living less than 25 miles from the waterfall who rated the cultural importance as high?
Answer:E
Step-by-step explanation:
( row total * column total ) / ( Table total)
Shipping Box Fish Food 11 ft 37 ft 1 ft 1 ft 3 ft 3 ft
Answer:
Dude post it again lol
Step-by-step explanation:
The picture is so blurry
in a group of 54 people each likes music or dance if the ratio of people who like music only and dance only is 5:4 and the number who like both is 18 find the number of people who like dance by using a Venn diagram
Step-by-step explanation:
²222222²3-(£+*8£.:("&(:£*8;&#"+£!£9'62+)*68+✓7^+^¢3÷3*=:×%√•%`=and$√`°{
Eric bought a new car for $24,000. Each year, the car depreciates 15% in value. To the nearest dollar, how much will the car be worth in 6 years?
Hint: Create an exponential equation in the formy = a (1 – r) and then evaluate the equation at t= 6 years.
6
Type your answer...
7
Previous
Answer:
$9052
Step-by-step explanation:
a= starting car price
(1-r)= exponential decay
r= rate
t= # of years
Equation:
a(1-r)^t
Plug in the numbers.
a= 24000 r=15%=0.15 (1-r)= 1-0.15 = 0.85
a(1-r)^t = 24000(0.85)^6
= 24000(0.37714951562)
= 9051.588375
= 9052
2
.
5
6
120
a. What the relationship between BEC and Z BAC?
b. What the measure of ZBEC ?
c. What the measure of BDC ?
Mary was looking at a map with the following scale indicator:
inch 5 miles
Mary measured 2 inches between two towns on the map. What is the distance between the two townsply
ANSWERS FOR MATH LESSON 5.05 7TH GRADE
Answer:
I am so sry i don't know
Step-by-step explanation:
Answer:
file:///C:/Users/mctas/Downloads/4_14_22Project5.05Slides.pdf
attend live lesson on homepage
Help me please , thank you so much
The answer is
b. two real solutions
Anna spent $173 to attend a concert.
10% of this cost was for a parking pass.
Anna spent the remainder of the money on 2 tickets for the event.
What was the price per ticket? Round your answer to the nearest cent.
Answer:
$77.85
Step-by-step explanation:
10% of $173 is $17.30, and $173 - $17.30 is $155.70
$155.70/2 is $77.85