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
If a=10 and b=3 , find the value of x .
Answer:
7
Step-by-step explanation:
10-3=7
Find the solution to the system of equations.
x + 3y = 4
2x + 5y = 12
A. (3.8)
B. (-8,4)
C. (16,-4)
D. (1.2)
E. (-1,-2)
Answer:
C (16,-4)
Step-by-step explanation:
16+3*-4=4
16+(-12)=4
16-12=4
4=4
2*16+5*-4=12
32+(-20)=12
32-20=12
12=12
Convert to millimeters: 21 centimeters A. 210 millimeters B. 21,000 millimeters C. 2,100 millimeters D. 2.1 millimeters
Answer:
A. 210
Step-by-step explanation:
Find x in the following ,giving reasons
Answer:
x = 22.5
Step-by-step explanation:
→ Remember how many degrees the point to a radius is
90°
→ Set up an equation
x + 3x = 90
→ Simplify
4x = 90
→ Divide both sides by 4
x = 22.5
CAN SOMEONE PLZ HELP ME?? PLZ DO YOU KNOW ABOUT Coordinate Planes??!! plzzzzzz help
Answer:
1
Step-by-step explanation:
x is 0
1+0=1
Find the volume of a pyramid with a square base, where the area of the base is
13.2 cm² and the height of the pyramid is 13.7 cm. Round your answer to the
nearest tenth of a cubic centimeter.
Answer:60.3cm^3
Step-by-step explanation:
i got it wrong and that was the answer lol
Find the length and surface area.
Width = 2
Height = 12
Volume = 240
Answer:
Length: 10
Surface Area: 20
Step-by-step explanation:
Length:
2*12=24
240/24=10
Surface Area:
2*10=20
-1/2 (-2x + 4y)=____________________________
Answer:
-1/2 (-2x + 4y)= x - 2y
Step-by-step explanation:
-1/2 (-2x + 4y)
x - 2y
Answer:
x - 2y
Step-by-step explanation:
[tex]-\frac{1}{2}(-2x + 4y)\\\\\text{Distribute.}\\\\x-2y[/tex]
The sun shines on a 40ft tall building at an angle of depression of 62 degrees. How long is the shadow formed?
A. 21.2ft
B. 75.2ft
C. 45.3ft
D. 85.2
Please hurry I need this soon and no links
Kevin made $342 for 18 hours of work. At the same rate, how many hours would he have to work to make $247?
Answer:
13 hours
Step-by-step explanation:
First you have to find the hourly rate at which money is being earned. To do so you divided the money earn ($342) by how many hours it took to earn (18 hours).
Once you do that you're given $19.00 per hour.
Now take the money earned with the unknown time ($247) and divide it by money being made per hour ($19) and you're given 13 hours
Answer:
13
Step-by-step explanation:
First, you need to find out how much money he is making per hour. To do that, we need to do $342 divided by 18 hours. This gives us 19. We now know that Kevin is making $19 an hour. Next, do $247 divided by $19. This gives us 13. He would need to work 13 hours to make $247.
Salma and Jared each threw 5 darts at the target shown. Salma scored 19 points by landing 2 darts in A and 3 in B. Jared scored 17 points by landing 1 dart in A and 4 in B. How many points are given for a dart landing in A?
Answer:
5
Step-by-step explanation:
this can be solved using simultaneous equation
2a + 3b = 19 equation 1
1a + 4b = 17 equation 2
Multiply equation 2 by 2
2a + 8b = 34 equation 3
Subtract equation 1 from 3
5b = 15
b = 3
Substitute for b in equation 1
2a + 3(3) = 19
2a = 9 = 19
2a = 10
a = 5
Answer:
Step-by-step explanation:
2a + 3b = 19 equation 1
1a + 4b = 17 equation 2
Multiply equation 2 by 2
2a + 8b = 34 equation 3
Subtract equation 1 from 3
5b = 15
b = 3
Substitute for b in equation 1
2a + 3(3) = 19
2a = 9 = 19
2a = 10
a = 5
I need quick help. Ill try to give brainliest (since it depends on the amount of people that answer)
Answer:
The answer should be option B
Which statement explains the difference between the graphs of f(x) = 4x^2 and g(x) = -8x^2 ?
A) The graph of g(x) is obtained by flipping f(x) over the y-axis and stretching vertically by a factor of 2.
B) The graph of g(x) is obtained by flipping f(x) over the x-axis and compressing vertically by a factor of 2.
C) The graph of g(x) is obtained by flipping f(x) over the x-axis and stretching vertically by a factor of 2.
D) The graph of f(x) is obtained by flipping g(x) over the y-axis and compressing vertically by a factor of 2.
Answer:
I think C is best explains
The correct option is B.
The graph of g(x) is obtained by flipping f(x) over the x-axis and compressing vertically by a factor of 2.
What is transformation?Transformation means to change. Hence, a geometric transformation would mean to make some changes in any given geometric shape.
Given are two functions f(x) = 4x² and g(x) = -8x², we need to see the transformation done in the function f(x) to give g(x).
So,
We can see that there is scale factor of 2, because it was 4 in f(x) and in g(x) it became -8 that means the graph have been compressing vertically by 2 units.
Also, the presence of minus sign, this is because the reflection has been done here about x-axis, so it becomes -8x².
According to our study we can say that the graph is reflected over x-axis and compressing vertically by 2 units.
Hence, the correct option is B.
Learn more about transformations, click;
https://brainly.com/question/13801312
#SPJ2
Write an example of a composition of rigid
motions for APQR.
Answer:
To review, the rigid motions are translations (slides), rotations (spins/turns), and reflections (flips). All of these types of motions occur without changing the shape of the object or figure being moved.
Step-by-step explanation:
If we do a refection of an image followed by translation, the figure will NOT be in the
same final location if we did the translation first then reflection.
True
False
Four out of 25 people are left-handed. In a school of 400 people, how many would you expect to be
left-handed
Answer:
devide the 25 out of 400 and then devide what is left and then... u get the answer
Step-by-step explanation:
Answer:
64 would be left handed
Step-by-step explanation:
16 times 4 is 64
Another question how fast is Andrew traveling?
Answer:
DannyStep-by-step explanation:
Danny's speed is given:
15 mphAndrew's speed is found from the table.
Since its the direct relationship, we find it using one pair of values:
Speed = miles/times = 21.75/1.5 = 14.5 mphDanny is faster as 15 mph > 14.5 mph
Speed =Distance/Time
Here speed is equal to slope of box
m=y/xm=29/2m=14.5mphDanny is faster as his one is 15mph
What divided by 20 equals 0.6
Answer:
12
Step-by-step explanation:
Let's represent the problem by X / 20 = 0.6, where X is the number we're looking for. Therefore, if we multiply both sides of the equation by 20, we'll get X, which is 12.
Answer:
12
Step-by-step explanation:
12 divided by 20 equals 0.6
Which statement is true about subsets of the real numbers?
Answer:
The real numbers have the following important subsets: rational numbers, irrational numbers, integers, whole numbers, and natural numbers.Aug 28, 2018
Step-by-step explanation:
a box of 24 frozen waffles is $4.77. what is the price per waffle?
Answer:
siudsckjznc
Step-by-step explanation:
y=21(0.97)^x
please help me
Answer:
y=[tex]\frac{21*97^x}{100^x}[/tex], x= all real numbers
Simplify the expression
(-3v)^5
Answer:
=-243v^5
Step-by-step explanation:
=-(3v)^5
=-3^5v^5
=3^5=243
=-243v^5
Helped by NONE other than the ONE & ONLY #QUEEN herself aka #DRIPPQUEENMO!!!
HOPE THIS HELPED!!!
Answer:
=-243v^5
Step-by-step explanation:
[tex](-3v)^5 = -3 x-3 x-3 x-3 x-3 = -243 ..than..add..the..v..which..equals..--243^5\\[/tex]
I SAY CAN YOU, YOU SAY GIVE ME THANKS, CAN YOU_GIVE ME THANKS!!!
Simplify the expression.
1/2r – 2r + 6 – 3
Answer:
-3(r-2)/2
Step-by-step explanation:
r/ 2 − 2 r + 6 − 3
r /2 − 2 r⋅ 2/ 2+ 6 − 3
r/ 2 + − 2r ⋅ 2/ 2 + 6 − 3
r − 2 r ⋅ 2 /2 + 6 ⋅ 2/ 2 + − 3 ⋅ 2/ 2
r − 2 r ⋅2 + 6⋅ 2 − 3 ⋅ 2 /2
r − 4 r + 12 − 6 /2
−3 ( r − 2 ) /2
Hope that helps! Plz, mark brainiest! :D
Have a great day!
Change this fraction into a decimal: 80/100
.8
.08
8.0
.008
will give brainlist!!!
Answer:
0.8
Step-by-step explanation:
80 divided by 100 = .8 or 0.8
Time Remaining56:19m:s When I have walked 20 % of the way to school, I have 1200 metres more to walk than when I have 20 % of the walk remaining. How far, in metres, is it from my home to my school?
Answer:
x = Total distance from your home to school = 1,500 meters
Step-by-step explanation:
Let
x = Total distance from your home to school
When you walked 20% of the way to school, you still have 1200 meters more to walk
Walked distance = 20% of x
= 20/100 * x
= 0.2 * x
= 0.2x
Total distance - walked distance = 1200 meters
x - 0.2x = 1200
0.8x = 1200
x = 1200 / 0.8
x = 1,500 meters
x = Total distance from your home to school = 1,500 meters
philip buys a pizza for $5.99 and is given $14.01 as change.
which equation represents the situation if is the amount
philip had before he bought the pizza?
Answer:
$14.01 + $5.99 = $20
Step-by-step explanation:
Phillip had 20 dollars before he bought the pizza.
helppp helping my sister
Answer:87
Step-by-step explanation:
Answer:
87 (check the answer key at the back of the book)
Step-by-step explanation:
What would be the fraction when you rewrite 8-2?
Answer:
The fraction would be 6 or 6/1 because 8-2=6.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
Please help me :(bbbbbb
Answer:
im sorry this seems to not be correctly stated
Step-by-step explanation:
