Answer:
The answer is $1.85
Step-by-step explanation:
Given;The cost of 5 chocolate bars = $5.75The cost of 2 chocolate bars and 3 packets of sweets = $7.85To Find;The cost of one packet of sweets.Now, we know that the cost of 5 chocolate bars are $5.75.
For 1 chocolate bar
5.75 ÷ 5 = $1.15
Here, we get the price of 1 chocolate bar
So, the cost of 2 chocolate bars and 3 packets of sweets are $7.85.
2 × chocolate bar = 2 × (1.15) = $2.3
Now, we want to find only the cost of one packet of sweets.
So,
7.85 – 2.3 = $5.55
3 packets of sweets cost $5.55
For 1 packets of sweets
5.55 ÷ 3 = $1.85
Thus, The cost of one packet of sweets = $1.85
Suppose that the first four moves of a tic-tac-toe game are as shown.
Does the first player (whose moves are marked by Xs) have a strategy that will always win? (If no, explain why. If yes, show the winning strategy in a form of a game tree)
The first player using Xs does indeed have a strategy to always win by placing an X in the Middle right box.
Why is this a winning strategy?When the first player places an X in the middle right spot, the second player will have to place an O in two places to avoid the first player winning.
They would have to place an O in the middle left space and in the bottom right space. Seeing as they can't place an O in two boxes at once, the first player will be able to place an X in the empty box out of the two, and win.
In conclusion, there is a winning strategy.
Find out more on strategy in tic-tac-toe at https://brainly.com/question/15262069.
Step-by-step explanation:
The first player has two possible winning moves.
1. Middle right boxRegardles the next move the first player has one of the two options next: middle left or bottom right box
2. Bottom right boxRegardles the next move the first player has one of the two options next: middle right or top left box
Drawing 2 cards that are all 2from a deck of cards
Answer:
the likely hood of that happening is the amount of that deck of cards by 2 so 52/2 could be your answer so yeah
If one three-digit number ( 0 cannot be a left digit) is chosen at random from all those that can be made from the following set all digits, find the probability that one chosen is not a multiple of 2. [0,1,2,3,4,5,6,7,8]
The probability of choosing a number that is not a multiple of 2 is P = 0.44
How to find the probability?We need to count the number of options for each digit.
For the first digit, we have 8 options {1, 2, 3, 4, 5, 6, 7, 8}For the second digit, we have 9 options {0 ,1, 2, 3, 4, 5, 6, 7, 8}For the third digit, we have 9 options {0 ,1, 2, 3, 4, 5, 6, 7, 8}.The total number of combinations is the product between the numbers of options:
C = 8*9*9 = 648
If we want our number to not be a multiple of 2 then it must end in a odd digit, the combinations that meet that condition are:
For the first digit, we have 8 options {1, 2, 3, 4, 5, 6, 7, 8}For the second digit, we have 9 options {0 ,1, 2, 3, 4, 5, 6, 7, 8}For the third digit, we have 4 options {1, 3, 5, 7}.C = 8*9*4 = 288
Then the probability of selecting a 3 digit number that is not a multiple of 2 is:
P = 288/648 = 0.44
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The probabilities by subject of on-time assignment submission and on-time arrival in class are given in the table. Subject On-time Assigment Submission On-time Arrival in Class Physics 89.7% 82.3% Math 88.2% 88.7% Chemistry 89.4% 83.1% Biology 90.1% 82.4% Total 88.5% 84.7% What is the probability of on-time arrival in class given that the subject is biology? A. 90.1% B. 88.5% C. 84.7% D. 82.4% E. insufficient data
The probability of on-time arrival in class given that the subject is biology is, 82.4%.
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Given that;
The probabilities by subject of on-time assignment submission and on-time arrival in class are given in the table.
Here, the table is,
Subject: On-time Assignment: On-time Arrival to Class:
PHYSICS 89.7% 82.3%
MATH 88.2% 88.7%
CHEMISTRY 89.4% 83.1%
BIOLOGY 90.1% 82.4%
TOTAL 88.5% 84.7%
Now, from table;
The probability of on-time arrival in class given that the subject is biology is, 82.4%.
Hence, the probability of on-time arrival in class given that the subject is biology is, 82.4%.
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Approximately how many
years would it take for an
investment of $1,000 to grow
to $1,500 with a simple
interest rate of 8%?
i think its 8,770 wbu
help??
Answer:
Your answer would be 8,770.
Step-by-step explanation:
the numbers list as 0,085-0,785-0,870-7,780-8,750-8,770 so you would be correct saying that 8,770 is the largest number.
Please Help - Find the Volume
I know the answer is 1982.0 ft³. However, I don't know how to get to that answer. I keep getting 2112ft³.
Answer:
1982.0 ft³
Step-by-step explanation:
The composite figure can be decomposed into a cube and a square pyramid. The volume is the sum of the volumes of these.
__
pyramidThe square base of the pyramid is 12 ft on each side, so the diagonal of the base is 12√2 feet. (The diagonal of a square is √2 times the side length.) Then the distance from a corner to the center of the base is half that, or 6√2 feet.
That distance and the height of the pyramid form a right triangle whose hypotenuse is the given 10 ft measure of the length of the edge of a face of the pyramid. Then the height can be found using the Pythagorean theorem:
h² +(6√2)² = 10²
h² = 100 -72 = 28
h = 2√7 ≈ 5.291503 . . . ft
The volume of the pyramid is ...
V = 1/3Bh = 1/3s²h
V = 1/3(12 ft)²(5.2910503 ft) ≈ 253.992 ft³
__
cubeThe volume of a cube is given by ...
V = s³
V = (12 ft)³ = 1728 ft³
__
total volumeThe total volume of the figure is the sum of the pyramid volume and the cube volume:
total volume = 253.992 ft³ +1728 ft³ = 1981.992 ft³
The volume of the figure is about 1982.0 ft³.
_____
Additional comment
Your figure for the volume seems to assume the height of the pyramid is 8 feet. That length is the slant height of one face of the pyramid. It would be the hypotenuse of a right triangle whose other legs are 6 ft and the height of the pyramid. Then we would have ...
h² +6² = 8²
h² = 64 -36 = 28 . . . . as above
The pyramid height is the perpendicular distance from the plane of the base to the peak. It is measured through the middle of the volume, not along one face.
Round your answer to the nearest hundredth.
Answer:
66.42 degrees
Step-by-step explanation:
Cos(angle B) = adj / hyp = 2/5
arc cos (2/5) = angle B = 66.4 2 degrees
A florist used 16 flowers to make a bouquet, including 6 lilies.
What is the probability that a randomly selected flower will be a lily?
Answer:
3/8
Step-by-step explanation:
Values we are given :
16 flowers in total6 liliesWe know that :
Probability of selecting an object from a group of items = Number of objects / Number of itemsTherefore,
Probability of selecting a lily = Number of lilies / Number of flowersP = 6/16P = 3/8How are the roots of a quadratic equation and the zeroes of a quadratic relation related?
The roots of a quadratic equation and the zeroes of a quadratic equation are related in the following form: [tex]\sum\limits_{i= 0}^{2} c_{i}\cdot x^{i} = \prod \limits_{j= 1}^{2} (x-r_{j}) = 0[/tex].
What do represent the roots of a quadratic equation?Polynomials are algebraic entities that satisfy the following condition:
[tex]p(x) = \sum\limits_{i= 0}^{n} c_{i}\cdot x^{i} = \prod \limits_{j= 1}^{n} (x-r_{j})[/tex] (1)
Where:
x - Independent variablen - Grade[tex]c_{i}[/tex] - i-th Coefficient[tex]r_{j}[/tex] - j-th RootIf we have that [tex]p(x) = 0[/tex], then there are n values of x such that the equation is satisfied and those values are called zeroes. For the case of a quadratic equation, there are two zeroes.
[tex]\sum\limits_{i= 0}^{2} c_{i}\cdot x^{i} = \prod \limits_{j= 1}^{2} (x-r_{j}) = 0[/tex] (2)
Please note that the right part of (2) contains the roots of the polynomial and (2) represents a relationship based on the closure properties for algebraic fields.
Therefore, the roots of a quadratic equation and the zeroes of a quadratic equation are related in the following form: [tex]\sum\limits_{i= 0}^{2} c_{i}\cdot x^{i} = \prod \limits_{j= 1}^{2} (x-r_{j}) = 0[/tex].
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surface area.... again
Answer:
1848 square inches
Step-by-step explanation:
surface area is the combined area of all the outside surfaces.
area of triangle is base x height / 2
There are two, so no need to divide
18 x 12 = 216
Area of rectangle is base x height
15 x 34 + 15 x 34 + 18 x 34 = 1632
Then add
216 + 1632 = 1848
Lesley has 180 y marbles in a bag. She gave 2/5 of the marbles to Danny. How many marbles does Lesley have left?
If 10 g of a radioactive substance are present initially and 4 yr later only 5.0 g remain, how much of the substance, to the nearest tenth of a gram, will be present after 9 yr?
Answer:
3.15g
Step-by-step explanation:
2.2 g of the substance, to the nearest tenth of a gram, will be present after 9 yr.
What is the formula for exponential growth and exponential decaying function?The formula for exponential growth is y = y₀.e^(kt).
The formula for exponential decay is y = y₀.e^(-kt).
Given, 10g of a radioactive substance is present initially and 4 yr later only 5.0g remain.
∴ y₄ = y₀.e^(kt).
5 = 10.e^(4k).
e^(4k) = 1/2.
lne^(4k) = ln(1/2).
4k = - 0.69.
k = - 0.69/4.
k = - 0.17.
At this rate after 9 years later the amount of substance left will be,
y₉ = 10.e^(-0.17×9).
y₉ = 10.e^(-1.53).
y₉ = 10/e^(1.53).
y₉ = 10/4.62.
y₉ = 2.16 g.
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PLEASE HELP!
To raise money for malaria research the New York City Rotary Club is going to sell 200,000
raffle tickets. One ticket will have a 8000 dollar prize attached to it. Ten tickets will have a
300 dollar prize attached to it. Seventy-five tickets will have a 50 dollar prize. (As a wam up,
answer for yourselves: what is the total amount of all the prize money?) In addition to the
prize money, to make sure that the tickets are secure, by hiring a company which specializes in
producing anti-counterfeit raffle tickets, the cost of raffle tickets is given by C(20) = 4500+6x.
To cover both the prize money and the cost of producing the raffle tickets, as a warm-up,
what should be the price of each of the 200,000 raffle tickets in order to break even?
Step-by-step explanation:
so, they want to sell 200,000 tickets (and we assume they can really sell all of these).
they have to pay the prize money afterwards :
1 × $8,000 = $8,000
10 × $300 = $3,000
75 × $50 = $3,750
--------------
$14,750
and they have to pay for the ticket production at the beginning.
this is not really well defined, but I assume the following :
C(20) = 4500 + 6x
x = units of 10,000 tickets (because of the functional argument of 20, and we have to deal with 200,000 tickets).
that means the cost for these 200,000 tickets is then
4500 + 6×20 = $4,620
$4,500 are fixed costs insurgent of the number of tickets (like for creating the design, configuring the printing machines for the design, ...).
and 6×20 = $120 are the cost of actuality printing the tickets ($6 per 10,000 ticket prints).
so, the total expenses are
$14,750 + $4,620 = $19,370
under the assumption they can sell all 200,000 tickets to just break even, the prize for each ticket must be
19,370 / 200,000 = $ 0.09685 ≈ $0.10
if my assumptions are wrong, please adapt the numbers in the calculations i showed you here.
for example, what if the x in the printing cost is per ticket and not per 10,000 tickets ?
then the printing costs would be
4500 + 6×200000 = $1,204,500
and the total expenses would be
$14,750 + $1,204,500 = $1,219,250
and the prize per ticket would have to be
1,219,250 / 200,000 = $ 6.09625 ≈ $6.10
The total amount of all the prize money is $14,750, and the price of each of the 200,000 raffle tickets in order to break even should be $0.08.
Amount calculationGiven that to raise money for malaria research the New York City Rotary Club is going to sell 200,000 raffle tickets, and one ticket will have an 8000 dollar prize attached to it, while ten tickets will have a 300 dollar prize attached to it, and seventy-five tickets will have a 50 dollar prize, to determine what is the total amount of all the prize money and what should be the price of each of the 200,000 raffle tickets in order to break even, the following calculation must be made:
1 x 8000 + 10 x 300 + 75 x 50 = X8000 + 3000 + 3750 = X14750 = X14750 / 200000 = Z0.07375 = ZTherefore, the total amount of all the prize money is $14,750, and the price of each of the 200,000 raffle tickets in order to break even should be $0.08.
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please answer correctly :)
Please help me I’ll mark brainly
Answer:
Step-by-step explanation:
In the first equation, -4 x -b should be postive 4b, so +4b, because a negative times a negative equals a postive
Answer: 7
Step-by-step explanation: -4(6 - b) = 4
-24 + 4b = 4
The negative turns into a postive for 4b because two negatives make a postive.
4b (positive) = 28
b = 7
13,14, and 15 please help it’s math!
Answer:
13) 80 in sq
14) You can find the area of the bigger rectangle, then subtract it from the area of the unfilled white rectangle.
15) The smallest possible area is 38 inches by contiguously placing the cards, or placing the on the adjacent side of 4 inches.
Step-by-step explanation:
Answer:
13) easy but long way, count all the blue squares
harder way but fast way, multiply length and width of blue box and subtract length*width of white box inside of blue box the answer would be 80
14) basically the harder way but fast way mentioned above
15) the smallest possible perimeter is achieved when you calculate less of the longer side and more of the short side. therefore, lining the pictures with the 4inch side as the length and 5 inch side as the width in a line, it would give you a perimeter of 5+5+4+4+4+4+4+4=34
Step-by-step explanation:
13: remember, these are coordinates and not the actual number.
these are the measurements of the blue box
length, 16-2 = 14
width, 14-4=10
these are the measurements of the white box inside the blue box
length, 14-4 =10
width, 12-6=6
find area of both which comes to 140 and 60. subtract 60 from 140 to get 80
please help the assignment is due today
Answer:
[tex]\tt B)\;93^o[/tex]
Step-by-step explanation:
[tex]\tt 2(19x+1)+(19x+1)+15x=360[/tex]
[tex]\tt 38x+2+19x-2+15x=360[/tex]
[tex]\tt 38x+19x+15x+2-2=360[/tex] (Add similar elements)
[tex]\tt 72x+2-2=360[/tex] (2-2=0)
[tex]\tt 72x=360[/tex]
[tex]\tt \cfrac{72x}{72}=\cfrac{360}{72}[/tex] ( Divide both sides by 72)
[tex]\tt x=5[/tex]
Now,
m∠km:-
[tex]\tt 19x-2[/tex]
[tex]\tt 19(5)-2[/tex] (Multiply 19*5= 95)
[tex]\tt =95-2[/tex] (Subtract)
[tex]\tt = 93[/tex]
Therefore, m∠km=93° is the answer.
_____
I need the answer to this as well
Answer:
Option C.
Step-by-step explanation:
Perimeter = 2L + 2h
[tex]P=2(5x^{2}y) +2(3y^{3} )=10x^{2} y+6y^{3}[/tex]
Hope this helps
Lois made a dish with 3 1/3 cups of pasta. One serving of the pasta is 0.4 cups. How many servings of pasta were in the dish Lois made?
Answer:
8 3/4
Step-by-step explanation:
because each serving is 04 cups all you need to do is divide 3 1/2 by 0.4.
first convert 3 1/2 into decimal which would be 3.5. then divide 3.5 by 0.4
3.5/0.4
=3.5x10/0.4x10
=35/4
=8 3/4
I need help please i
Answer:
2 7/24
Step-by-step explanation:
First we have to add the gallons of two cow of each owner:
Hank's cows: 4 3/4 + 4 1/8
Add the whole numbers:
4 + 4 = 8
Now for 3/4 and 1/8
Find common
6/8 + 1/8
= 7/8
Put together :
8 7/8
Debra's cows: 5 1/2 + 5 2/3
Add the whole number
5 + 5 = 10
Now for 1/2 and 2/3
3/6 + 4/6
1 1/6
10 + 1 1/6
= 11 1/6
Since now we know that:
Hank - 8 7/8
Debra - 11 1/6
we can solve the question:
How many more gallons of milk did Debra's two cows produce on that compared to Hank's two cows?
Solution:
11 1/6 - 8 7/8
Subtract whole number
11 - 8 = 3
Now for 1/6 and 7/8
4/24 - 21/24
4-21/24
-17/24
2 7/24
~lenvy~
Answer:
2 7/24
Step-by-step explanation:
Hank Cows:
4 3/4 and 4 1/8
Debra Cows:
5 1/2 and 5 2/3
To find the difference between Hank cows and Debra cows..
we first have to add both cows together:
4 3/4 + 4 1/8 = 8 7/8 {Hank}
5 1/2 + 5 2/3 = 11 1/6 {Debra}
Since now we know Hank and Debra total gallons of milk we can solve and find out the difference.
11 1/6 - 8 7/8 = 2 7/24
Hence, Debra have 2 7/24 more gallons of milk than Hank.
[RevyBreeze]
The length of a rectangle is six times its width.
If the perimeter of the rectangle is 126 in, find its area. Answer in inch ^2
Answer:
486 square inches.
Step-by-step explanation:
126 = w + 6w + w + 6w
126 = 14w
width = 9 inches
A = wl
A = (9)(9*6)
A = 486 square inches
1. Solve the following equations for x:
a. X - 9 = -21
b. 10 + x = 112
C. 14 = x - 30
d. 12 - x = 3
Answer:
A. X=-12B. X=102C. X=44D. X=15Step-by-step explanation:
Isolate the term of x from one side of the equation.
Part A. x-9=-21First, add by 9 from both sides.
x-9+9=-21+9
Solve.
-21+9=-12
X=-12
Part B. 10+x=112Switch sides.
x+10=112
Subtract by 10 from both sides.
x+10-10=112-10
Solve.
112-10=102
X=102
Part C. 14=x-30Switch sides.
x-30=14
Add by 30 from both sides.
x-30+30=14+30
Solve.
x=44
Part D. 12-x=3Switch sides.
x-12=3
Add by 12 from both sides.
x-12+12=3+12
Solve.
Add the numbers from left to right.
3+12=15
x=15
Therefore, the correct answer is part A: x=-12, part B: x=102, part C: x=44, and part D: x=15.I hope this helps you! Let me know if my answer is wrong or not.
How do I do show my work using Brainly math?
Step-by-step explanation: please see attached to PDF document.
Answer:
a) 6
b) 1/3
c) 2
Step-by-step explanation:
a) 3 ( x + 1 ) - x = 15. expand the bracket
3x + 3 - x = 15
2x + 3 = 15. collect the like terms
2x = 15 - 3.
2x = 12.
x = 12/2 = 6
b) 5 ( x + 2 ) - 2x = 11. expand the bracket
5x + 10 - 2x = 11
3x + 10 = 11. collect the like terms
3x = 11 - 10
3x = 1
x = 1/3
c) 6 ( 1 - 2x ) = - 4 - 7x. expand the bracket
6 - 12x = -4 -7x. collect the like terms
6 + 4 = -7x + 12x
10 = 5x
or
5x =. 10
x = 10/5 = 2
PLEASE MARK ME BRAINLIEST
sin160°cos110°+sin290°cos340°+tg110°tg160°
Answer:
-0.0092
Step-by-step explanation:
sin160°cos110° + sin290°cos340° + tan110°tan160°
(0.34)(-0.34) + (-0.94)(0.94) + (-2.75)(-0.36)
- 0.1156 - 0.8836 + 0.99
-0.0092
I hope this helps!
[tex]\sin 160^{\circ} \cos 110^{\circ} + \sin 290^{\circ} \cos 340^{\circ} + \tan 110^{\circ} \tan 160^{\circ}\\\\=\sin\left(2 \times 90^{\circ} - 20^{\circ} \right) \cos \left(90^{\circ} + 20^{\circ} \right) + \sin \left(3 \times 90^{\circ}+20^{\circ}\right) \cos\left(4 \times 90^{\circ}-20^{\circ \right) + 20^{\circ} \right) + \tan \left( 90^{\circ} +20^{\circ}\right) \tan\left( 2 \times 90^{\circ} - 20^{\circ} \right)\\\\[/tex]
[tex]=-\sin 20^{\circ} \sin 20^{\circ} -\cos 20^{\circ} \cos 20^{\circ}+\cot 20^{\circ} \tan 20^{\circ}\\\\=-\left(\sin^2 20^{\circ} + \cos^2 20^{\circ} \right) + \tan 20^{\circ} \cdot \dfrac 1{\tan 20^{\circ}}\\\\=-1 + 1\\\\=0[/tex]
if right triangle RST, ST = 5, RT = 12, and RS = 13. Find tan (S).
Answer:
tan(S) = 12/5
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you the tangent ratio is ...
Tan = Opposite/Adjacent
In the given triangle, the side opposite angle S is RT, which has length 12. The side adjacent to angle S is ST, which has length 5. Then the tangent of angle S is ...
tan(S) = RT/ST
tan(S) = 12/5
_____
Additional comment
The rest of the trig functions in this triangle are ...
sin(S) = 12/13
cos(S) = 5/13
tan(R) = 5/12
sin(R) = 5/13
cos(R) = 12/13
Answer:
tan(S) = [tex]\frac{12}{5}[/tex]
Step-by-step explanation:
Hi there!
We are given ΔRST, where ST=5, RT=12, and RS=13
We want to find the tangent of angle S (the notation tan(S) means "tangent of angle S")
In trigonometry, tangent refers to the ratio of the opposite side/adjacent side.
The opposite side is the side that is opposite to the angle that we are referencing (in this case, angle S); in this case, that side is RT, which is 12
The adjacent side is the leg that is adjacent to the opposite side; in this case, that side is ST, which we were given as 5
Therefore, tan(S) will be [tex]\frac{RT}{ST}[/tex], or [tex]\frac{12}{5}[/tex].
Hope this helps!
Find the surface area of the composite figure. 3 cm 12 cm 2 cm 6 cm 10 cm 8 cm SA =
Answer:
Pls try to send ur questions the right way and ask again attaching the picture of the figure. Otherwise, there is no way to solve
Estimate the square root to the nearest (a) integer and (b) tenth.
46−−√
Using rounding concepts, it is found that the estimates of the square root of 46 are given as follows:
a) Rounded to the nearest integer, the square root of 46 is of 7.
b) Rounded to the nearest tenth, the square root of 46 is of 6.8.
How we round a number?To round a number to the nearest integer, we have to look at the tenths digit.To round a number to the nearest tenth, we have to look at the hundredths digit.If the digit we look is of 5 or greater, we round one to the rounded digit.Using a calculator, we have that the square root of 46 is of 6.78.
7 > 5, hence rounded to the nearest integer, the square root of 46 is of 7.8 > 5, hence rounded to the nearest tenth, the square root of 46 is of 6.8.More can be learned about rounding concepts at https://brainly.com/question/17248958
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which statement correctly compares the shapes?
Answer:
I believe D should be the correct answer
If you create an app similar to brainly, what things you gonna to change in this ?
Answer:
The
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a
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section
It's difficult to access
It's also really
sen-
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to what you could type.
