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
Use the ALEKS calculator to write as a percentage.
5/17
Round your answer to the nearest tenth of a percent.
Answer:
The answer is 29.4%
Step-by-step explanation:
The given is to be rounded to the nearest tenth percent so
5/17 = 0.294
0.294 * 100 = 29.4% since nearest tenth percent
The required answer is 29.4%
Given fraction is 5/17.
Percentage is a way of expressing a fraction or proportion as a portion of 100. It is a mathematical concept used to represent relative quantities or values in terms of hundredths. The word "percent" is derived from the Latin words "per centum," which mean "per hundred." It is denoted by the symbol "%".
To convert a fraction to a percentage, and multiply the fraction by 100.
Let a and b be the rel numbers. To convert the fraction a/b into percentage by multiply the fraction by 100.
That is , a/b x 100.
And on simplification gives the fractions.
To convert 5/17 to a percentage, we have:
(5/17) x 100 = 29.4117647...
Rounding this to the nearest tenth of a percent, we get:
29.4%
Therefore, when rounded to the nearest tenth of a percent, 5/17 is approximately 29.4%.
Learn more about converting fractions to percentages, click here:
https://brainly.com/question/25395
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Help me out here please.
Answer:
just remove the parentheses and add the numbers
Step-by-step explanation:
Select the correct answer.
Consider this equation of a parabola.
- 2x2 - 4x + 2y + 8 = 0
What is the equation expressed in vertex form?
O A.
B.
л
y = (x – 4)2 – 20
y = (x + 1)2 – 5
C. y = (1 – 4)2 + 4
OD. y = (x + 1)2 - 1
Answer:
B
Step-by-step explanation:
Pls help asap thx its about Operations with Exponents
7.
8.
9.
10.
Answer:
7. 2s^7
8. 2s^4/5s^2
9. 108s^9
10. h^7
Step-by-step explanation:
7) (2s^3)^4
= 2s^(3+4)
= 2s^7.
8) (2s^2/5s)^2
= (2s^4/5s^2)
= 2s^4/5s^2.
9) 3s^5 × 4s^-2 × 9s^6
= 12s^{5+(-2)} × 9s^6
= 12s^3 × 9s^6
= 108s^9.
10) h^5/h^-2
= h^{5-(-2)}
= h^7.
if it helps don't forget to like and mark me
May someone please help me with this :)
Answer:
[tex]48\pi[/tex]
Step-by-step explanation:
[tex]V=\frac{1}{3}\pi r^2h[/tex]
r is the radius of the base, h is the height.
[tex]V=\frac{1}{3}\pi (4)^2\cdot 9=48\pi[/tex]
Answer:
The volume is 48pi (in)^3
Step-by-step explanation:
please can someone tell me the defenitions of each of these terms?
1. sales tax
2. rebate
3. income tax
4. gross pay
5. net pay
Taylor had a bag of 28 marbles. 5 red, 9 blue, 8 yellow, and 6 black. If Taylor pulled out a yellow one and DID NOT put it back in. What is the
probability of pulling out a blue marble (SIMPLIFY YOUR FRACTION).
Blank 1:
Blank 2:
Answer: 1/3
Step-by-step explanation:
Number of red marbles = 5
Number of blue marbles = 9
Number of yellow marbles = 8
Number of and black marbles = 6
Total number of marbles = 28
If Taylor pulled out a yellow one and didn't replce it, there'll be 27 marbles left since one has been removed, then the probability of picking blue marbles will be:
= Number of blue marbles / Total marbles
= 9 / 27
= 1/3
The probability of picking a blue marble is 1/3.
3 times a number is 4 less than the square of that number. Find the negative solution.
What is the answer for 8.7mm and 10mm?
Answer:
18.7
Step-by-step explanation:
just add them
i really need help i am really bad at math
Drag the dot to plot (-5, -9), and then select its location on the coordinate plane.
How do you decide what numbers to use as the numerator and the denominator in each equivalent fraction to the given decimal?
Answer:
For denominator the number of digits after the decimal are counted to find the multiple of 10s.
The numerator is the decimal number digits with the decimal removed.
Step-by-step explanation:
The given number of the decimal is used as the numerator and the denominator of the decimal always has to be 10 or a multiple of 10 depending on the position of the decimal point.
For example if we have a number 4.3
The numerator will be 43( the decimal is removed) and the denominator will be 10 because in the original decimal number 4.3 the decimal was before only 1 number that is 3.
Now take the example of 4.36
The numerator will be 436 ( the decimal is removed) and the denominator will be 100 ( 10 *10 = 100) because in the original decimal number 4.3 the decimal was before 2 number that is 3 and 6.
so the fraction will be 436/100
Now if we divide 436 by 100 we will get the same answer as the original number
100√436 4.36
400
360
300
600
600
xxx
The same process is applied to bigger numbers such as 4.365 and so on.
If we have a number 43.6 the numerator will be 436 ( the decimal is removed) and the denominator will be 10 because in the original decimal number 43.6 the decimal was before 1 number that is 6.
so the fraction will be 436/10
If we have a number 436.5 the numerator will be 4365 ( the decimal is removed) and the denominator will be 10 because in the original decimal number 436.5 the decimal was before 1 number that is 5.
so the fraction will be 4365/10
For denominator the number of digits after the decimal are counted to find the multiple of 10s.
The numerator is the decimal number digits with the decimal removed.
Each quadrilateral below is a parallelogram . find the missing measures .
Answer:
AD = 8
DC = 15
m∠A = 112°
m∠B = 68°
m∠C = °
Step-by-step explanation:
If we're working with parallelograms, we can assume that each line and it's opposite are perfectly parallel.
To find AD, all you need to do is look to the opposite line, BC. Since This is a parallelogram, AD = BC, so AD is 8.
To find DC, you do the exact same. Find the opposite line that it is parallel to, in this case that's AB, and since AB = DC, you know that DC = 15.
To find m∠A, let's look at m∠D. Since m∠D = is 68°, We can use that knowledge to find m∠A. Since the two angles are right beside each other on the same line, together they would equal 180° if you added them up. But since you don't know what m∠A is, you just have to subtract 68 from 180.
180 - 68 = 112.
To find m∠B, We simply look back to m∠D. Since m∠B is directly opposite to m∠D, That means they have the same value, 68°.
And finally, to find m∠C, we do the same thing we did to find m∠B. m∠C is directly across from m∠A - we have already found m∠A, and we know that it is 112°. Therefore, m∠C is 112° as well.
need help!!!!!!!!!!!!!!!!!!!
Answer:Table 3 i think
Step-by-step explanation:
Charles offers 7% over dealer cost on a BMW that has a sticker price of $63,000 and a dealer cost of $56,904
Answer:
The right solution is "$ 60,887.28". A further explanation is provided below.
Step-by-step explanation:
The given values are:
Sticker price,
= $63,000
Dealer cost,
= $56,904
Offer,
= 7%
Now,
The 7% dealer cost will be:
= [tex]\frac{7}{100}\times 56,904[/tex]
= [tex]3,983.28[/tex] ($)
hence,
Amount offered will be:
= [tex]56,904+3,983.28[/tex]
= [tex]60,887.28[/tex] ($)
Solve by factoring
x^2-3x+16=7x
Calcule el décimo termino de una progresión geométrica que Los términos son 32 , 16 , 8 , 4 ................,
Respuesta:
1/16
Explicación paso a paso:
Dada la secuencia geométrica: 32, 16, 8, 4 ................,
El enésimo término de una progresión geométrica se obtiene mediante la relación:
enésimo término = ar ^ (n-1)
Dónde ; a = primer término = 32; n = enésimo término; r = razón común
r = a2 / a1 = a3 / a2
r = 16/32 = 8/16
r = 1/2
Por lo tanto, el décimo término:
n (10) = 32 * (1/2) ^ (10 - 1)
n (10) = 32 * (1/2) ^ 9
n (10) = 32 * (1/512)
n (10) = 32/512
n (10) = 1/16
Por lo tanto, el décimo término es 1/16
pls answerrrrrr<3333
Answer:
[tex](x+6)(x+10)[/tex]
Step-by-step explanation:
Break the expression into groups, [tex]=(x2+6x)+(10x+60)[/tex]
Factor out x from [tex]x2+6x: x(x+6)[/tex]
Factor out 10 from [tex]10x+60: 10(x+6)[/tex]
[tex]=x(x+6)+10(x+6)[/tex]
Un turista pagó un total de 180 dólares en un hotel. La cuenta incluye el costo de tres noches de hospedaje y 75 dólares de alimentación.
El siguiente procedimiento permite determinar cuántos dólares pagó el turista, por cada noche de hospedaje. 3X+ 75 = 180
3X +75 -75 = 180 – 75
3X = 105
¿Cuál de los siguientes pasos completa correctamente el procedimiento?Single choice.
(10 Points)
3X – 3 = 105 – 3
3X + 3 = 105 + 3
3.(3X) = (3).105
3X/3 = 105/3
In Hillsboro's wig shop, 1/2 of the wigs are blonde and 1/12 of the wigs are brunette. What fraction of the wigs are either blonde or brunette?
Answer:
7/12
Step-by-step explanation:
So, the probability of picking up a blonde wig = 1/2
The probabiliy of picking up a brunette wig = 1/12
The question asks to find th eprobability of picking up either of these types of wigs =
1/2 + 1/12
= 6/12 + 1/12 ( LCM of 12 and 1 is 12 )
= 7/12
Hope this helps
Answer equation pls =)
1/4x+32=x+11
Answer:
1/4x+32=x+11 x=28
Answer:
x=28
Step-by-step explanation:
Write as decimal
0.25x+32=x+11
Subtract 0.25x from both sides
32=0.75x+11
Subtract 11 from both sides
21=0.75x
Divide both sides by 0.75
x=28
Left with what x equals
What is ?
A.20º
B.70º
C.90º
D.180º
Answer:
i think it is 90
Step-by-step explanation:
remember the line is srait
At a coffee shop, the first 100 customers' orders were as follows.
What is the probability that a customer ordered a small given that he or she ordered a cold drink?
Rounded to the nearest percent
Answer:
8%
Step-by-step explanation:
Compared to the 1st 100 customers, we know that 8 of the 100 people got small cold drinks. This means the probablility someone would order a small cold drink is 8/100 which is 8 percent.
By the way, can you follow me on Brainly?
Thanks!
Answer:
32%
Step-by-step explanation:
hello, and good morning,
help me plz with.....
what´s √1000×1000=
Answer:
[tex]\sqrt{1000\times 1000}[/tex]
[tex]=\sqrt{1000^2}[/tex]
[tex]=1000[/tex]
-------------------------
Thanks!
Have a great day!!
Factor the polynomial by its greatest common monomia
365 + 1564 - 1867
What is the probability of getting a prime number in a number greater than one on two rolls of a die
Answer:
a even chance of getting one as even as not
Step-by-step explanation:
hope it helps
Is (4, 3) a solution to the inequality 10x + 2y > 3?
Answer:
Yes
Step-by-step explanation:
10x + 2y > 3
Substitute the point into the inequality
10(4)+2(3) > 3
40+6>3
46>3
This is a true statement so the point is a solution
Can someone help with question B please it's urgent
Answer:
| B | = - 9
Step-by-step explanation:
The determinant of a 2 by 2 matrix B = [tex]\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right][/tex] is
| B | = ad - bc
Then for
B = [tex]\left[\begin{array}{ccc}0&1\\9&8\\\end{array}\right][/tex]
| B | = (0 × 8 ) - (1 × 9 ) = 0 - 9 = - 9
A scientist pours 708 milliliters of a solution into a beaker.There are approximately 236 mililiters in 1 cup. How many ounces of solution did she pour into the beaker
Answer:
23.94 ounces
Step-by-step explanation:
To determine the ounces poured. Convert, 708 ml to ounces
1 ml = 0.033814 ounces
0.033814 ounces x 708 = 23.94 ounces
A stadium has 500 seats and 5 VIP boxes. The stadium is divided into 25 equal sections: 5 premium sections and 20 standard sections. A seat at the premium section costs $45 per game. A seat at the standard section costs $25 per game.
1. How many seats are there in each section?
