Answer:
The number of adults that said exactly one coping mechanism are 25 adults
Step-by-step explanation:
Total number of adult in the group = 60 adults
The number that go on vacation vacation = 34
The number that go for a smoke break = 27
The number that listen to music = 41
The number that go for a vacation and smoke = 13
The number that smoke and listen to music = 16
The number that go for a vacation and listen to music = 20
The number that said two of the coping mechanism = 28
Set theory
We have;
n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(A∩C) - n(B∩C) + n(A∩B∩C)
Given that the following relations;
n(A∪B∪C) = 60
n(A) = 34
n(B) = 27
n(C) = 41
n(A∩B) = 13
n(A∩C) = 20
n(B∩C) = 16
Therefore;
60 = 34 + 27 + 41 -13 - 20 - 16 + n(A∩B∩C)
∴ n(A∩B∩C) = 60 - (34 + 27 + 41 -13 - 20 - 16) = 7
Given that 28 said exactly 2, we have;
Total number of respondents = Those that said exactly 1 + Those that said exactly 2 + Those that said exactly 3
Total number of respondents = 60
Those that said exactly 2 = 28
Those that said exactly 3 = n(A∩B∩C) = 7
Therefore;
60 = Those that said exactly 1 + 28 + 7
Those that said exactly 1 = 60 - (28 + 7) = 25
Alternatively, we have;
Those that said exactly one = n(A) -(n(A∩B) + n(A∩C) - n(A∩B∩C)) + n(B) - (n(B∩C) + n(A∩B) - n(A∩B∩C)) + n(C) - (n(A∩C) + n(B∩C) - n(A∩B∩C))
= 34 - (13 + 20 - 7) + 27 - (16 + 13 - 7) + 41 - (20 + 16 - 7) = 25
60 - 28 - 7 = 25
The number of adults that said exactly one coping mechanism = 25.
If you vertically compress the absolute value parent function, F(x) = |x|, by
multiplying by 3/4, what is the equation of the new function?
The current function equation is Y=1/3|x|
---------------------------
The meaning relative f(x) = is the absolute value and is weighted by a factor 3 vertically.
If a constant (say a) multiplies the function, the parent will be extended vertically.
We have below vertical extension and compression conditions.
A > 1 = > spread vertically
0 < < 1 = > compression vertically
Therefore we will subtract the entire feature by 1/3 for vertical compression by a factor of 3.
The equation for the current function is then Y=1/3|x|
---------------------------
Hope this helps!
Brainliest would be great!
---------------------------
With all care,
07x12!
Answer: G(x)= 3/4 |x|
Step-by-step explanation:
(A.pex)
which number produces an irrational number when added to 1/2?
A. 0.373737...
B. 3.14159265...
C. √16
D. -4/7
The number 3.14159265 produces an irrational number when added to 1/2.
What is the sum of an irrational number and a rational number?
The sum of any rational number and any irrational number will be always an irrational number.
What is irrational number?An irrational number is a type of real number which cannot be represented as a simple fraction.
What is rational number?A number that can be represented as the quotient p/q of two integers such that q ≠ 0 is called a rational number.
According to the given question
We have a rational number 1/2.
Since, 0.373737373.... is a rational number because it is recurring and its behavior it known that 37 is repeating.
And we know that when any rational number is added with a rational number it with number we will get always a rational number.
⇒ 0.3737373737... + [tex]\frac{1}{2}[/tex] = rational number.
3.14159265... is an irrational number because its behavior is not known and it is not terminating.
So, when we add 1/2 to 3.14159265.. we get a irrational number.
√16 = 4 is a rational number. And it can be written as [tex]\frac{4}{1}[/tex].
So, [tex]\frac{4}{1} + \frac{1}{2} = \frac{9}{2}[/tex] which is a rational number.
-4/7 is a rational number. And when we add 1/2 to -4/7 we get a rational number.
i.e. [tex]\frac{-4}{7} + \frac{1}{2} = \frac{-1}{14}[/tex] which is rational number.
Hence, the number 3.14159265 produces an irrational number when added to 1/2.
Learn more about rational and irrational number here:
https://brainly.com/question/17005818
#SPJ2
express x^2-8x+20 in the form (x-a)^2+a where a is an integer
Answer:
(x-4)²+4
Step-by-step explanation:
Answer:
[tex](x-4)^2+4[/tex]
Step-by-step explanation:
[tex]x^2 - 8x + 20\\**********************************\\\frac{8}{2} =( 4 )^2 = 16 \\\\20 - 16 = 4\\**********************************\\x^2 - 8x + 16 + 4\\(x-4)^2+4[/tex]
En una fiesta se desea elegir un grupo de 3 personas de entre 6 matrimonios, si dos miembros de la misma pareja no pueden ser elegidos para formar parte de ese grupo. De cuantas maneras diferentes se puede formar el grupo de 3 personas?
Answer:
Hay 160 maneras
Step-by-step explanation:
Para calcular de cuántas maneras se puede seleccionar x elementos de un grupo de n elementos podemos usar la siguiente fórmula:
[tex]nCx=\frac{n!}{x!(n-x)!}[/tex]
Si vas a elegir 3 personas de entre 6 matrimonios y dos miembros de la misma pareja no pueden ser elegidos, entonces podemos decir que se está eligiendo 3 matrimonios y en cada matrimonio se está eligiendo un representante.
Entonces, podemos calcular de cuántas maneras se puede escoger 3 matrimonios de los 6, así:
[tex]6C3=\frac{6!}{3!(6-3)!}=20[/tex]
Adicionalmente, para cada uno de los 3 matrimonios hay 2 opciones para ser representantes. Esto significa que hay [tex]2^3[/tex] maneras de escoger representantes en cada una de las 20 formas calculadas anteriormente.
Por lo tanto se puede formar el grupo de 3 personas de 160 maneras diferentes:
[tex]20*2^3=160[/tex]
Which expression is equivalent to (–3y – x) – (5y – 8x)?
Answer:
-8y +7x
Step-by-step explanation:
(–3y – x) – (5y – 8x)Distribute
-3y -x -5y +8x
Combine like terms
-3y-5y -x+8x
-8y +7x
Which point is an x-intercept of the quadratic function f(x)=(x-8)(x+9)? 1. (0,8) 2.(0,-8) 3.(9,0) 4.(-9,0) If yk how to do these, pls help with my other questions :( <3
Answer:
x intercept is when y = 0, so when y is 0, x should be -9 or 8, so 4. is the only that satisfies it, therefore (-9,0)
Step-by-step explanation:
Follow me at "btracta" on insta and we can talk
What's your instagram then?
Yes 80 followers following 10 is me
A linear function includes the ordered pairs (0, 3), (3, 9), and (9, n). What is the value of n?
Answer:
the value of n will be the range
Step-by-step explanation:
lets just give an example of (9,n) and you had to find the value its actually simple
9 is the domain
n is the range
a part of ordered pair function
got it?
Determine the period of this function a. 6p c. 1 b. 4p d. -1
Answer:
4pie
Step-by-step explanation:
period = time/number of oscillation
time=4pie
number of oscillation = 1
then
period = 4p/1= 4p
Answer:
b. 4pi
Step-by-step explanation:
Rewrite the expression in the form k x z^n .
Answer:
(squareroot2^2) times 27 (1/2)
Step-by-step explanation:
Answer:3z^2/9
Step-by-step explanation:
What is the distance between c and d
Answer:
5 units apart.
Step-by-step explanation:
You can figure this out by:
a- You can count the squares in between the two points.
OR
b- You would find the absolute value of both the x values and add them together to see the overall length from each other that they are.
So when you complete either one of these tactics you would get an answer of 5 units apart.
PLS HELP, URGENT!!
What is the following simplified product? Assume x >/= 0. ( sqrt 6x^2 +4 sqrt 8x^3) (sqrt 9x -x sqrt 5x^5)
A correct option is an option (d)
The given expression is,
[tex](\sqrt{6x^2}+4\sqrt{8x^3})(\sqrt{9x}-x\sqrt{5x^5} )[/tex]
Now, simplifying the given expression as,
[tex](\sqrt{6x^2}+4\sqrt{8x^3})(\sqrt{9x}-x\sqrt{5x^5} )=(x\sqrt{6}-8\sqrt{2}x\sqrt{x} )(3\sqrt{x} -x\sqrt{5x^5}) \\ = (x\sqrt{6}+8x\sqrt{2x} )(3\sqrt{x} -x^3\sqrt{5x} )\\=3x\sqrt{6x} -x^4\sqrt{30x}+24x^2\sqrt{2x} -8x^5\sqrt{10x}[/tex]
So, the correct option is an option (d).
Learn More:https://brainly.com/question/2548064
Type the correct answer in each box, If necessary, use / for the fraction bar(s).
1
-1
The point on the number line shows the opposite of
or the opposite of the opposite of
Reset
Next
Answer: -1/1
Step-by-step explanation: The fraction, -1/1 or just -1, passes through the transactional point through the slope of the line, y=3x+5.
5. In an A.P, the sum of three consecutive terms is 24. When 1 is subtracted to the first term, 2 to the
second, then the terms form a G.P. Find the terms of the A.P.
Answer:
Step-by-step explanation:
Let the three numbers be a-d, a, a+d being a series in AP.
The sum of the three numbers is 24 = a-d+ a+ a+d = 3a
Thus a = 8.
Now a-d-1, a-2, a+d form a GP. It means, the common ratios should be equal or the middle term should be the Geometric Mean of the first and third terms, or
(a-d-1)(a+d) = (a-2)^2 or
(8-d-1)(8+d) = (8-2)^2, or
(7-d)(8+d) = 36, or
56 -8d +7d -d^2 = 36, or
56 -8d +7d -d^2 - 36 = 0, or
d^2 +d -20 = 0
(d+5)(d-4) = 0
Thus d = -5 or 4
So the AP is 13,8,3 or 4,8,12
Check: 13,8,3 in AP becomes (13–1), (8–2), 3 = 12, 6, 3 which is a GP with r = (1/2)
4,8,12 in AP becomes (4–1), (8–2), 12 = 3, 6, 12 which is a GP with r =2
Please please help me ❤️❤️❤️
Answer
Step-by-step explanation:
Materials
Water Bottles or Pop Bottles
Glow Sticks
Foam Sheets
Pipe Cleaners
Googly Eyes
Tissue Paper
Mod Podge
Hot Glue Gun
Instructions
Cut your tissue paper into strips and brush a layer of Mod Podge onto the center of your bottle.
Put the tissue paper strips onto the Mod Podge, wrapping it around the bottle. Brush on another layer of Mod Podge.
Once it's dry, wrap three pipe cleaners around the bottle and twist to form legs.
Cut 2 wings out of the foam and glue it to the top.
Place your glow stick inside the bottle.
Attach your googly eyes and twist another pipe cleaner around the neck of the bottle to form the antenna.
Help me pweasee
Find the value of the function f(x) = x2 + 9x + 14, when x = -2.
Answer:
-8
Step-by-step explanation:
(-2)2+9(-2)+14
-4+-18+14
-22+14
=-8
Hope this helps
Answer:
0
Step-by-step explanation:
f(x) = x^2 + 9x + 14, when x = -2.
f(x)=(x+7)(x+2)
f(x)=(-2+7)(-2+2)=0
URGENT!! HELP! 25 POINTS FOR THESE QUESTIONS!
Answer:
The correct options are;
A. 120
B. 34
Step-by-step explanation:
The given parameters are;
Required to find how many of the permutations of 1, 2, 3, 4, 5, 6, have 1, 2, 3 arranged one after the other in the given order
Requirement to arrange 6 digits, 1, 2, 3, 4, 5, 6 in the order such that 1, 2, and 3 always appear in turn, they are as follows
When the first digit is 1, and the 2nd digit is 2 the number of ways of selecting the other digits is 24
Arrangement, Number of ways
1, 2, 3, 4, 5, 6, 24
1, 4, 2, 18
1, 4, 5, 2, 12
1, 4, 5, 6, 2, 6
4, 1, 2, 18
4, 1, 5, 2, 12
4, 1, 5, 6, 6
4, 5, 1, 2, 12
4, 5, 1, 4, 2 6
4, 6, 5, 6
Total = 24 + 18 + 12 + 6 + 18 + 12 + 6 + 12 + 6 + 6 = 120 ways
The correct option is A. 120
2. The dimensions of the original rectangle = L by W
The dimensions of the lager rectangle = 1.5·L by 2·W
1.5·L × 2·W = 30
Given that L > W
∴ L×W = 30/(1.5 × 2) = 30/3 = 10
The possible integers that have a product of 10 are;
1 × 10 and 5 × 2
Therefore, since L > W, The dimensions of the larger rectangle are either 15 by 2 or 7.5 by 4
Which gives the perimeters as 2*(15 + 2) = 34 or 2*(7.5 + 4) = 23
Therefore, the largest possible rectangle is 34
The correct option is B. 34.
Answer:
The correct options are;
A. 120
B. 34
Step-by-step explanation:
The given parameters are;
Required to find how many of the permutations of 1, 2, 3, 4, 5, 6, have 1, 2, 3 arranged one after the other in the given order
Requirement to arrange 6 digits, 1, 2, 3, 4, 5, 6 in the order such that 1, 2, and 3 always appear in turn, they are as follows
When the first digit is 1, and the 2nd digit is 2 the number of ways of selecting the other digits is 24
Arrangement, Number of ways
1, 2, 3, 4, 5, 6, 24
1, 4, 2, 18
1, 4, 5, 2, 12
1, 4, 5, 6, 2, 6
4, 1, 2, 18
4, 1, 5, 2, 12
4, 1, 5, 6, 6
4, 5, 1, 2, 12
4, 5, 1, 4, 2 6
4, 6, 5, 6
Total = 24 + 18 + 12 + 6 + 18 + 12 + 6 + 12 + 6 + 6 = 120 ways
The correct option is A. 120
2. The dimensions of the original rectangle = L by W
The dimensions of the lager rectangle = 1.5·L by 2·W
1.5·L × 2·W = 30
Given that L > W
∴ L×W = 30/(1.5 × 2) = 30/3 = 10
The possible integers that have a product of 10 are;
1 × 10 and 5 × 2
Therefore, since L > W, The dimensions of the larger rectangle are either 15 by 2 or 7.5 by 4
Which gives the perimeters as 2*(15 + 2) = 34 or 2*(7.5 + 4) = 23
Therefore, the largest possible rectangle is 34
The correct option is B. 34.
precalculus help! i'm having some trouble with my summer assignment. help would be very appreciated :)))
6.
[tex]y^2\sqrt[8]{8}[/tex]
Step-by-step explanation:
[tex]\sqrt[8]{8*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y}[/tex]
Since there are eight y's in two groups we can take them out which turns into
[tex]y^2\sqrt[8]{8}[/tex]
:)
3.
Problem 3:
We are given the following complex number and I'm assuming we want to simplify it:
[tex]\dfrac{5+i}{6+i}[/tex]
Using the complex arithmetic rule (research about this if you're not familiar with it, it's very helpful):
[tex]=\dfrac{(5\times6+1)+(6-5)i}{6^2+1^2}[/tex]
[tex]=\dfrac{31+i}{37}[/tex]
Simplifying gives us:
[tex]=\dfrac{31}{37}+\dfrac{1}{37}i[/tex]
Problem 6:
You seem to have done this problem correctly
[tex]\sqrt[8]{8y^{16}}[/tex]
Expanding gives us:
[tex]=\sqrt[8]{y^{16}}\times\sqrt[8]{8}[/tex]
[tex]=y^2\sqrt[8]{8}[/tex]
This can't be simplified further as the 8th root of 8 gives us an irrational number
Let me know if you need any clarifications or extra help, thanks!
The following function represents an arithmetic sequence.
f(1)=2
f(n+1)=f(n)+4
What is f(10)?
Enter your answer as a number, like this: 42
Answer:
f(10)=34
Step-by-step explanation:
This is an arithmetic sequence of common difference "d = 4" (the number added to a term in order to get the next term), and first term 2,
Then we use the formula to find the nth term of an arithmetic sequence with is:
[tex]f(n)=f(1) +\,(n-1)\,d[/tex]
In our case this formula for the term number 10 becomes:
[tex]f(n)=f(1) +\,(n-1)\,d\\f(10)=f(1)+(10-1)\,4\\f(10=2+9*4\\f(10)=2+32\\f(10)=34[/tex]
Answer: Just took it!!!
f(10)=38
Step-by-step explanation:
f(1)=2
f(n+1)=f(n)+4
f(2)=6
f(3)=10
f(4)=14
f(5)=18
f(6)=22
f(7)=26
f(8)=30
f(9)=34
f(10)=38
By visual Inspection, determine the best-fitting regression model for the
scatterplot.
A. No pattern
B. Linear
C. Quadratic
D. Exponential
Answer: Linear
Step-by-step explanation:
Help please!!
Solve the equation -5m = -20.
m = 1/4
m = -1/4
m = -4
m = 4
Answer:
m=4
Step-by-step explanation:
-5m=-20
m= - 20/-5
m=4
Answer:
M=4
Step-by-step explanation:
This question was on my online school assignment. I can go back on my assignments and review and I had got it right.
Help help help please I need help fast
The answer would be x =7/5 because you would need to multiply everything by two. Then you would add 4+3 and you would end up with 5x = 7. After that, you need to divided both answers by five
Please Mark brainliest
Answer:
The answer is x=7/5
Step-by-step explanation:
because you have to multiply everything by 2 the add 4+3 and you end up with 5x=7 then divide both sides by 5
Finding which number supports the idea that the rational numbers are dense in the real numbers?
an integer between –11 and –10
a whole number between 1 and 2
a terminating decimal between –3.14 and –3.15
Answer:
a terminating decimal between –3.14 and –3.15
Step-by-step explanation:
Rational numbers are numbers that can be written as the quotient or fraction of two integers, and this contain a numerator and a denominator which is non-zero number.All rational numbers are real numbers and all integers are real numbers as well.
A natural numbers are the positive integers which is also referred to as non-negative integers, examples include 2, 200, 3, 4, 5, 156 .. ∞. we can say natural numbers are a set of all the whole numbers.
These numbers are enclosed by integers, which comprise some negative numbers such as -18, -9, -183 and so on.
In addition, an integers are also enclosed by rational numbers, which comprises terminating decimals such as 8.34, 3.44,15.7543,4.075421 and so on.
With the given terminating decimal between -3.14 and -3.15, It can be deduced that rational numbers contain integers,since integers also include negative numbers because integer are numbers that is devoid without of any fractional component
Answer:
d
Step-by-step explanation:
Cape Beale Lighthouse, BC, is
on a cliff that is 51 m above sea
level. The lighthouse is there
to warn boats of the danger of
shallow waters and the
possibility of rocks close to the
shore. The safe distance for
boats from this cliff is 75 m. If
the lighthouse keeper is 10 m
above ground and observes a
boat at an angle of depression
of 50°, is the boat a safe
distance from the cliff? Justify
your conclusion.
Answer:
tan 50 = (51+10)/x where x is the distance of the boat
x = 51.2 m
Boat is in an unsafe area
Step-by-step explanation:
<3
In his pocket, Hamid has $2.95 in dimes and quarters. If there are 16 coins in total, which system represents the number of dimes and quarters that Hamid has? x + y = 16. 0.10 x + 0.25 y = 2.95. x + y = 16. 0.05 x + 0.25 y = 2.95. x + y = 2.95. 0.10 x + 0.25 y = 16. x + y = 16. 0.01 x + 0.25 y = 2.95.
Answer: x + y = 16. 0.10 x + 0.25 y = 2.95. x + y = 16.
Step-by-step explanation:
You know that there are 16 coins in all, so x + y has to equal 16 (x being dimes and y being quarters) but you also know that whatever compilation of dimes and quarters is equal to $2.95.
Hope this helped you! Feel free to ask any further questions!
The system of equations which represents the number of dimes and quarters that Hamid has are x+y=16 and 0.10x+0.25y=2.95.
What is equation?Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.
How to form equation?Suppose the number of dimes be x and the number of quarters be y.
According to question there are 16 coins, so
x+y=16-----1
1 dime=$0.10
1 quarter=$0.25
According to question Hamid has $2,95 ,so
0.10x+0.25y=2.95.
Hence the system which represents the number of dimes and quarters that Hamid has are x+y=16 and 0.10x+0.25y=2.95.
Learn more about equation at https://brainly.com/question/2972832
#SPJ2
write down the value of 5 in 19.54
Answer:
10ths Place (Decimal)
Step-by-step explanation:
Whole numbers:
The 1 in 19.54 is in the tens place.
The 9 is in the ones place.
Decimals:
The 5 is in the tenths place.
The 4 is in the hundredths place.
Answer:
look below for your answer
Step-by-step explanation:
5 is in the tenth column
i hope i helped you
please mark my answer as brainliest
Martin is an after-school math tutor. He noticed that 6 people still needed help and only 2/5 of the tutoring session time was left. Since each person is to be given an equal amount of time, Martin wrote the expression below to find the fraction of the tutoring session each person who still needed help would be allotted. 2/5÷6 Which expression is equivalent to Martin’s expression? A.6/15÷6 B.6/5÷2 C.5/2÷6 4.2/5÷6 Help!! A:18 ÷2/9 B:18×2/9 C:2/9
Answer:
A
Step-by-step explanation:
Trust me on this and I also have a reason.
Divide 2/5 by 6 to get 1/15, then divide 6/15 by 6 to get 1/15, and both of these are simpflied.
Can I also get brainlest, I hope you do well!
The expression equivalent to Martin's expression is A. 6/15 ÷ 6.
What is Division?Division is simply the opposite operation of multiplication. It is one of the basic mathematical operations where a number is divided into equal parts as that of another number.
The number being divided is called dividend and the number which divides dividend is called divisor. The resulting number after the operation is called quotient.
We have to divide the expression 2/5 ÷ 6.
When a fraction is divided by another number the divisor is change into it's reciprocal and the multiplied to the dividend.
Here dividend = 2/5 and divisor = 6
Reciprocal of 6 = 1/6
So 2/5 ÷ 6 = (2/5) × (1/6) = 2/30 = 1/15
Simplify the numbers in the options.
A. 6/15 ÷ 6 = (6/15) × (1/6) = 1/15
Hence the equivalent expression of 2/5 ÷ 6 is 6/15 ÷ 6.
Learn more about Division here :
https://brainly.com/question/21416852
#SPJ3
Drag each number to the correct location on the table. Each number can be used more than once, but not all numbers will be used. Simplify the given polynomial expressions, and determine the degree and number of terms in each expression. (photo attached below)
Answer:
1the degree is 3 and the number of terms is 3 after simplifying
2the degree is 9 and the number of terms is 9 after simplifying
3the degree is 4 and the number of terms is 2 after simplifying
92.6 % of 103.93 km Give your answer rounded to 2 DP.
Answer:
[tex]Result = 96.24\ km[/tex]
Step-by-step explanation:
Given
92.6 % of 103.93 km
Required
Solve (to 2 decimal places)
To solve this, we simply multiply both 92.6% and 103.93 km together;
[tex]Result = 92.6\% * 103.93\ km[/tex]
Convert percentage to fraction
[tex]Result = \frac{92.6}{100} * 103.93\ km[/tex]
Combine to form a single fraction
[tex]Result = \frac{92.6 * 103.93\ km}{100}[/tex]
[tex]Result = \frac{9623.918\ km}{100}[/tex]
[tex]Result = 96.23918\ km[/tex]
[tex]Result = 96.24\ km[/tex] (Approximated to 2 decimal places)
.Nisha bought a backpack that was on sale at 35% off for $63. How much was the original price of the backpack?
Answer:
$180
Step-by-step explanation:
100%=x
35%=$63
63 x 100=6300/35=$180
Answer:
96.92
Step-by-step explanation:
If the backpack was 35% off you will still pay 100 -35 or 65%
Let x be the original price
x * 65% = 63
Change to decimal form
x * .65 = 63
Divide each side by .64
x*.65/.65 = 63/.65
x =96.92
Bella is buying balloons for a back to school celebration. She sees there are 4
packages of 15 balloons for $18 and 5 packages of 10 balloons for $16. Which is
a better deal? How do you know? Are you comfortable with Bella's buying
habits? Why or why not? help plsss
Answer:
The first unit price ($0.30/balloon) beats the second ($0.32/balloon).
Step-by-step explanation:
4 packages of 15 balloons for $18 works out to 1 package of 15 balloons for $18/4, or $4.50. That'd be
$4.50
---------------- = $0.30/balloon.
15 balloons
Next: 5 packages of 10 for $16 works out to 1 package of 10 for $16/5, or
1 package of 10 for $3.20. That'd be
$3.20
----------------- = $0.32/balloon
10 balloons
The first unit price ($0.30/balloon) beats the second ($0.32/balloon).
If Bella understands the math involved in finding unit costs and actually does the work prior to buying anything, then I'm comfortable with her buying habits.
Both deals are almost same.
We have a girl Bella who is buying balloons for a back to school celebration. She sees there are 4 packages of 15 balloons for $18 and 5 packages of 10 balloons for $16.
We want to know which is a better deal with appropriate reason. We have to morally investigate on the basis of our thinking whether or not Bella's buying habits are good or not.
If 'n' balloons cost $ x, then the cost of 1 balloon will be?The cost of 1 balloon will be = [tex]\frac{x}{n}[/tex] (in dollars)
Now, according to question -
Case 1 :
The total number of balloons are 15 x 4 = 60 balloons.
The cost of these 60 balloons is $ 18.
Cost of 1 balloon = [tex]\frac{18}{60}[/tex] = $ 0.3
Case 2 :
The total number of balloons are 10 x 5 = 50 balloons.
The cost of these 60 balloons is $ 16.
Cost of 1 balloon = [tex]\frac{16}{50}[/tex] = $ 0.32
It can be concluded that the both deals are almost same and i think that it is okay to spend a bit amount of money for a back to school party.
To solve more questions on unitary method, visit the link below -
https://brainly.com/question/14793162
#SPJ2