Answer:
Banana made=3.22
Pumpkin made=7.86
Rocky road ice cream made=1.89
Step-by-step explanation:
From the question we are told that
1st year sales(banana, pumpkin, and rocky road ice cream) [tex]S_1= 13\%[/tex]
2nd year sales:[tex]S_2=18.1\%[/tex]
Rocky road sales doubled
Banana sales increased by 50%
Pumpkin sales increased by 20%
Rocky road ice cream had one less percent then banana
Let
Banana =x
Pumpkin=y
Rocky road ice cream=z
Generally the first year equation is given mathematically as
[tex]x+y+z=13......(1)[/tex]
Generally the second year equation is given mathematically as
100% increase in Rocky road ice cream sales()z i.e double
[tex]2*z=2z[/tex]
50% increase in banana ice cream sales()x
[tex]=>1*0.50=0.5\\=>0.5+1x=1.5x[/tex]
20% increase in pumpkin(y)
[tex]=>1*0.20=0.2\\=>0.2+1x=1.2y[/tex]
Therefore second year equation is given as
[tex]1.5x+1.27y+2z=18.1.....(2)[/tex]
Generally where rocky road ice cream had one less percent of sales than the banana ice cream the equation is given as
[tex]1.5x-2z=1........(3)[/tex]
Therefore combining the three equations
x+y+z=13
1.5x+1.27y+2z=18.1
1.5x-2z=1
matrix form
[tex]\begin {bmatrix}1 & 1& 1 & 13\\1.5 & 1.2 & 2 & 18.1\\1.5 & 0 & -2 & 1\end{bmatrix}[/tex]
Generally the determinant of the first three columns
[tex]\triangle=1.8[/tex]
Solving with Crammers Rule by solving Determinant when;
Column 4 replace column 1
[tex]\triangle_1=5.8[/tex]
Column 4 replace column 2
[tex]\triangle_2=14.15[/tex]
Column 4 replace column 3
[tex]\triangle_3=3.4[/tex]
Therefore x is given my
[tex]x=\frac{\triangle_1}{\triangle}[/tex]
[tex]x=\frac{5.8}{1.8}[/tex]
[tex]x=3.22[/tex]
Therefore y is given my
[tex]y=\frac{\triangle_2}{\triangle}[/tex]
[tex]y=\frac{14.15}{1.8}[/tex]
[tex]y=7.86[/tex]
Therefore z is given my
[tex]z=\frac{\triangle_3}{\triangle}[/tex]
[tex]z=\frac{3.4}{1.8}[/tex]
[tex]z=1.89[/tex]
Therefore
Banana made=3.22
Pumpkin made=7.86
Rocky road ice cream made=1.89
A bicycle has a speed of 6 m/s. What is its speed in km/h?
(1 km=1000 m)
(1 h = 3600 s)
answer:
m/s --- km/h = [tex]\frac{1000}{3600}[/tex]
km/h= [tex]\frac{5}{18}[/tex]
6m/s= [tex]\frac{6*5}{18}[/tex]
6m/s= 1.66 km/h
The speed of the bicycle in km/h is 21.6 km/h.
Given that;
A bicycle has a speed of 6 m/s.
Since we know that;
1 km = 1000 m
And, 1 hour = 3600 s
Hence change the speed of the bicycle in km/h as;
[tex]Speed = 6 m/s[/tex]
It can be equal to;
[tex]Speed = \dfrac{6 \times \dfrac{1}{1000} km }{\dfrac{1}{3600} seconds }[/tex]
[tex]Speed = 21.6 km/s[/tex]
Therefore, the speed of the bicycle in km/h is 21.6 km/h.
To learn more about the measurement unit visit:
https://brainly.com/question/777464
#SPJ3
Graph the line that goes through the points (2,0) and (2,5).
The line is what
.
The line has what
slope.
Answer:
0
Step-by-step explanation:
5 - 0 = 5
2 - 2 = 0
5/0 = 0
Answer:
Step-by-step explanation:
Can you help me please
109% of 11
Answer:
11.99
Step-by-step explanation:
The coldest day in ohio clocked in at 40 below zero. In one day though the temperature changed to 20 below zero How much temperature change was there that day
-50= 6a+28 please help
Answer:
a=-13
Step-by-step explanation:
-50=6a+28
isolate the a
-50-6a=28
-6a=28+50
-6a=78
divide both sides by -6
a=-13
Which is the better buy?
A 450 g box of cereal for $4.69 or a 600 g box of cereal for $6.49?
Please show ALL of your work.
hint: convert each to a unit rate using "cost / gram", then compare each to see which is cheaper.
Answer:
450g box of cereal for $4.69 is cheaper
Step-by-step explanation:
450/4.69 = 95.9488272921/1
600/6.49 = 92.4499229584/1
Algebra question need it done
Answer:
y=2x
Step-by-step explanation:
Abbie is twice as old as susan susan is 5 year old than Marc how old is Marc?
9
7
5
2
Answer:
9
Step-by-step explanation:
Answer:
A.) 9
Step-by-step explanation:
compounds are pure substances. What other substances are considered pure substances? A: chemical reactions B: elements C: mixtures D: solutions
Answer:
Step-by-step explanation:
B
find the measure of the angle.
Please help me fast I need to finish!!!!!!
Answer:
ans: The line passes through the point (0,13)
Step-by-step explanation:
(0,13) is Y-intercept
Answer:
The answer is C the line passes through (0,13)
Step-by-step explanation:
Please explain! I need help!
Answer:
B is the correct answer.
Step-by-step explanation:
What are the x- and y-intercepts of f(x)=x^2-49?
Can someone help me do this
Answer:
x = 6
Step-by-step explanation:
because of the exterior angle theorem, instead of looking for the inner angle's amount, I can directly look for the other angle's amount.
so:
6x + 8 + 5x + 8 = 82
11x + 16 = 82
11x = 66
x = 6
can someone with This thank you!!
Answer:
(a)
Coordinate A: (0,-3)
Coordinate B: (1,0)
Coordinate C: (5,2)
(b)
1, 5, 6, 7
find the y intercept
y = 3/4x - 4
Evaluate a2b2c2 for a = 2, b = 3, and c = 4.
Answer:
576
Step-by-step explanation:
Substitute the variables and solve.
[tex]a^2b^2c^2\\\\(2)^2(3)^2(4)^2\\\\(4)(9)(16)\\\\576[/tex]
In the triangle, m∠JKL = 3° and m∠KJL = 17°. Find m∠JLM.
Answer:
160
Step-by-step explanation:
the middle letters ttell you which corner of the triangle has that degree.
all corners added together must equal 180 in a triangle
jkl has k in the middle so k is 3°
kjl has J in the middle so J is 17°
jlm has L in the middle and is unknown
K + J + L = 180
3+17+L = 180
20 + L = 180
L = 160
Answer:160 degrees
Step-by-step explanation:
180-3-17=160
All triangles neasure 180 degrees
Alice earns $185 for working 14.8 hours each week. How much money will Alice earn if she increased her hours to 18 1/2 hours per week?
:)
Step-by-step explanation:
185 is to 14.8 as x is to 18.5
185/14.8 = x/18.5
x = 185(18.5)/14.8
x = $231.25
what is 200x350+23-7
Answer:
70,016
Step-by-step explanation:
PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction)
for this problem, we have to multiply first!
1) 200 x 350 = 70000
now we have ------> 70,000 + 23 - 7
we just have to work left to right
2) 70,023 - 7
3) 70,016
let me know if you have any other questions!
answer the question with clear explanation !!
[tex]food = \frac{1}{3} \times 48000 = 16000 \\ rent = \frac{1}{5} \times 48000 = 9600 \\ clothes = \frac{1}{4} \times 48000 = 12000 \\ food + rent + clothes = x \\ 16000 + 9600 + 12000 = 37600 \\ ndagune \: income - what \: he \: spends = what \: he \: saves \\ 48000 - 37600 = 10400 \\ ndagune \: saves \: 10400[/tex]
4. Susannah is drawing a card from a standard 52-card deck. A standard deck of cards
contains four suits -- diamond, club, spade & heart. Each suit has 13 cards. Face cards (12)
are Jack, Queen, and King cards.
a. What is the probability that the card she draws is a diamond?
b. What is the probability that the card she draws is a face card?
c. What is the probability that the card she draws is a face card and a diamond?
d. What is the probability that the card she draws is a face card or a diamond?
Answer:
1/4(25%), 3/13(23%), 3/52(6%), 11/26(42%)
Step-by-step explanation:
a. 4 suits, therefore the probability is 1/4
b. there are 12 face cards. therefore the probability is 12/52 which simplifies to 3/13
c. there are only 3 cards that are diamonds and face cards. Therefore, it is 3/52
d. there are 12 face cards and 13 cards of each suit. But there are 3 that overlap. therefore, there are 22 in total, so 22/52. it simplifies to 11/26.
6 adults & 4 senior citizens have to pay $228 while 13 adults and 7 senior citizens have to pay $459 to visit an exhibition at the Art science Museum . Find the total amount 2 adults & Senior citizen have to pay to visit the exhibition.
Answer: Rs. 69
Step-by-step explanation:
Let the amount that the adults have to pay be Rs. “x” and the amount that the senior citizens have to pay be Rs. “y”.
Step 1:
According to the question, we get
Equation 1:
6x + 4y = 228
Equation 2:
13x + 7y = 459
Step 2:
Then, by multiplying equation 1 by 7 & equation 2 by 4, we get
7 * [6x + 4y = 228]
⇒ 42x + 28y = 1596 …. (iii)
And,
4 * [13x + 7y = 459]
⇒ 52x + 28y = 1836 …. (iv)
Step 3:
Now, Subtracting eq. (iii) from eq. (iv), we get
52x + 28y = 1836
42x + 28y = 1596
(-) (-) (-)
---------------------------
10 x = 240
----------------------------
⇒ x = 240/10 = 24
Substituting the value of x in Eq. (1)
(6*24) + 4y = 228
⇒ y = [228 - 144]/4 = 21
Step 4:
Thus,
The total amount that 2 adults and a senior citizen have to pay to visit the exhibition is,
= 2x + y
= (2*24) + 21 ….. [substituting x= 24 & y = 21]
= Rs. 69
Step-by-step explanation:
Hope this helps
can i get braineist
It is given that
A = {1, 2, 3, 4, 7} and B = {2, 4, 8, 10).
(i) List all the elements in A∩B in set notation.
(ii) Draw a Venn diagram to represent the sets A and B.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Given :
A = {1, 2, 3, 4, 7}
B = {2, 4, 8, 10)
A∩B = {2 , 4 }
See the venn diagram in attachment ~
What is the slope of a line perpendicular to the line whose equation is 6x+4y=72 Fully simplify your answer.
Answer:
m = 2/3
Step-by-step explanation:
4y = -6x + 72
y = -3/2x + 18
Negative reciprocal = 2/3
OMGGG PLS HELP ME WITH THIS QUESTION PLS PLS PLS!!! WILL MARK BRAINEST AND PLS PLS PLS DO EXPLAIN!!!
Answer:
38
Step-by-step explanation:
-(5×-7-3)
-(-35-3)
-(-38)
38
HELP ASAP 100 POINTS!
Solve 2(1 – x) > 2x.
x < 2
x < 0.5
x > 0.5
x > 2
Answer:
x<0.5
Step-by-step explanation:
Hello lzukuXKachan!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
Solve 2(1 – x) > 2x.
x < 2
x < 0.5
x > 0.5
x > 2
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex]2 ( 1 - x ) \gt 2 x[/tex]
Firstly, cancel out 2 from both sides of the equation. Now, the equation will be....
[tex]1 - x > x[/tex]
Now, subtract x from both sides.
[tex]1 - x - x > 0[/tex]
Combine -x & -x. It'll be one -2x.
[tex]1-2x>0 [/tex]
Again subtract 1 from both the sides. Remember :- any number subtracted from 0 will result in its negation
So, it'll be -1.
[tex]-2x>-1 [/tex]
Divide both sides by -2.
[tex]x<\frac{-1}{-2} \\ [/tex]
Remove the negative signs. (negative ÷ negative = positive)
[tex]x<\frac{1}{2} \\ = \large\boxed{ \boxed{ \bf \: x < 0.5}}[/tex]
__________________
Hope it'll help you!
ℓucαzz ッ
A. Integer
B. Rational Number
C. Natural Number
D. Irrational Number
Answer:
b
Step-by-step explanation:
b b b b b b b b b b b b b b b b b b b b b b b b
100 POINTS AND BRAINLIEST!!
Answer:
A. $47,143
Step-by-step explanation:
Given information:
Current annual lifestyle cost ≈ $33,000Take home pay estimation = 70%Gross income: Total income before any deductions.
If take home pay is approximately 70% of the annual gross income, to be able to maintain the current lifestyle, 70% of the annual gross income needs to be at least $33,000.
Let x = annual gross income
Therefore:
70% of x = $33,000
⇒ 0.7x = 33000
⇒ x = 33000 ÷ 0.7
⇒ x = 47142.8571...
Therefore, the annual gross income needs to be $47,143 (nearest dollar) to maintain the current lifestyle.
Annual gross income be y
70% of y=330000.7y=330007y=330000y=330000/7y=47143Option A
The monthly cost of a certain texting plan is given by the function C(n)= 0.06n +9.95, where C(n) is in dollars and n is the
number of texts sent in a month. Find and interpret C(90)
Monthly Cost of Texting Plan
Ac(n)
Answer:
C(90) = 15.35
Step-by-step explanation:
Given the function, C(n) = 0.06n + 9.95:
where C = total cost of texting plan
n = number of texts sent in a month
9.95 = flat fee
To find C(90):
Substitute 90 as the input, n, for the function:
C(90) = 0.06n + 9.95
C(90) = 0.06(90) + 9.95
C(90) = 5.40 + 9.95
C(90) = 15.35
C(90) represents the cost of sending 90 texts in a month is $15.35.
Please mark my answers as the Brainliest if you find my explanations and solutions helpful :)