Using the information in the exercise to develop the system of equations and using the substitution method, the following answers are found:
The system of the linear equations is P = F + 0.50, 2D = 3F - 0.50, and 2P + F + 3D = 7.75, where P = The price of a box of popcorn, D = The price of a drink, and F = The price of a piece of fruit. By other hand, the price of each item is: Popcorn = $1.50, Drink = $1.25, and Fruit = $1.
Solution of the system of equations by the Substitution Method.
Taking into account the information given in the exercise, we can write the next equations:
P = F + 0.502D = 3F - 0.502P + F + 3D = 7.75Where:
P = The price of a box of popcorn.D = The price of a drink.F = The price of a piece of fruit.Since all equations have the variable F, we are going to use it as a key variable to represent the other variables in terms of F.
In the first equation we should not do anything, since P is in terms of F, in the second case the variable D is also in terms of F, but we need to find the value of just D, by this:
2D = 3F - 0.50D = (3F - 0.50) / 2D = 1.5F - 0.25We proceed to substitute the first and second equations in the third equation:
2P + F + 3D = 7.752 (F + 0.50) + F + 3 (1.5F - 0.25) = 7.75And we solve for the variable F:
2F + 1 + F + 4.5F - 0.75 = 7.757.5F + 0.25 = 7.757.5F = 7.75 - 0.257.5F = 7.5F = 7.5 / 7.5F = 1Now, we can solve for the variable D with the second equation:
2D = 3F - 0.502D = 3 * (1) - 0.502D = 3 - 0.502D = 2.5D = 2.5 / 2D = 1.25Finally, we can solve for the variable P with the first equation:
P = F + 0.50P = 1 + 0.50P = 1.50So, we have the price of each item:
Popcorn = 1.50Drink = 1.25Fruit = 1If you want to see another exercise solved by the substitution method, you can see this link: https://brainly.com/question/22340165?referrer=searchResults
I need help with Shape equation puzzle 2 it’s due tomorrow
Hey there! I'm happy to help!
First of all, I would guide you to decipher clue 2 first. It is the only one that has just one shape, so then we can find the value of that shape.
To find what this circle is, we just divide 12 by three to see what 3 times the circle is!
12÷3=4
CIRCLE=4
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Now, let's look at clue one. This one only has two shapes, and it has the circle, which we already know.
We know that our circle is 4, so 5 circles will be 20.
This means that the diamond plus two will be 20, so let's just subtract 2 from 20!
20-2=18
DIAMOND=18
-----------------------------------------------------------------
Finally, let's look at the third one. This one is the trickiest. Two circles is eight, and that is going to be equal to our diamond (eighteen) and two triangles.
How is that going to work?
The triangles make us go backwards! Otherwise known as negative numbers!
To get from eighteen to eight, we have to go back ten. Ten is going to be made up of two triangles, so we just divide ten by two so each triangle gets an equal amount.
10÷2=5
TRIANGLE=5
-----------------------------------------------------------------
Have a wonderful day and keep on learning! :D
An equation is formed of two equal expressions. The value of the Circle, Diamond, and the triangle is 4, 18, and -5, respectively.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the circle be represented by C, the diamond be represented by D, and the triangle be represented by T.
Now, the clues can be rewritten as,
D + 2 = 5(C)
3(C) = 12
2(C) = D + 2(T)
Since the second clue has only one variable C, let's solve it first,
3(C) = 12
C = 12 / 3
C = 4
Further, the first clue has two variables C and D, and the value of C is already known, therefore, solve it second.
D + 2 = 5(C)
D + 2 = 5(4)
D + 2 = 20
D = 20 - 2
D = 18
Furthermore, by solving the last Clue we will get,
2(C) = D + 2(T)
Substitute the known values,
2(4) = 18 + 2(T)
8 = 18 + 2T
8 - 18 = 2T
-10 = 2T
T = -5
Hence, the value of the Circle, Diamond, and the triangle is 4, 18, and -5, respectively.
Learn more about Equation here:
https://brainly.com/question/14686792
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what will be the decimal expansion of irrational number??
Answer:
the decimal expansion of an irrational number will be non terminating and non recurring
5. Esther has 90 mangoes. If she sells a third of the mangoes how many mangoes does she sell?
Answer:
30 Mangoes
Step-by-step explanation:
30 is 1/3 of 90.
Answer: Esther has sold 30 mangoes
Step-by-step explanation:
An easy way to solve is dividing 90 by 3
which line has a slope of -3/4 and a y-int of 3/2? see photos
Answer: Self Guidance. A slope of -3/4 and a y intercept doesn't look like any of them
Step-by-step explanation:
A slope of -3/4 and a y-intercept of 3/2 looks like this. After, maybe you can try it on your own. Hope this helps
why are there three zeros in the product of 6 times 103
Answer:
There’s not
Step-by-step explanation:
It’s 618
what is 9 subtracted from x
Answer:
x - 9
Step-by-step explanation:
Answer:
bguiyhvulcvougtjglctvtgulvugtfvufygbgl
Step-by-step explanation:
find the two number whose A.M is 5 and G.M is 4
Answer:
2 and 8
Step-by-step explanation:
let the numbers be x and y , then
[tex]\frac{x+y}{2}[/tex] = 5 ( multiply both sides by 2 ) ← AM
x + y = 10 → (1)
[tex]\sqrt{xy}[/tex] = 4 ( square both sides ) ← GM
xy = 16 → (2)
From (1) , expressing x in terms of y
x = 10 - y ← substitute into (2)
(10 - y)y = 16
10y - y² = 16 ( subtract 16 from both sides )
10y - y² - 16 = 0 ( multiply through by - 1 )
y² - 10y + 16 = 0 ← in standard form
(y - 2)(y - 8) = 0 ← in factored form
Equate each factor to zero and solve for y
y - 2 = 0 ⇒ y = 2
y - 8 = 0 ⇒ y = 8
Substitute into (1)
x + 2 = 10 ⇒ x = 8 or x + 8 = 10 ⇒ x = 2
The 2 numbers are 2 and 8
Please help me with this question, and show working out.
===============================================================
Explanation:
If you used scissors to cut a vertical slice down the lampshade, then it can be unrolled to form a rectangle.
The horizontal portion of this rectangle is the distance around the circle, which is the perimeter of the circle, or the circumference. That's C = 2pi*r. Check out the diagram below to see what I mean.
The diagram shows that the diameter is 20 cm, so the radius is half that at 20/2 = 10 cm.
The circumference is C = 2*pi*r = 2*pi*10 = 20pi cm exactly
The height of the rectangle is the height of the cylinder, which is h = 30 as shown in the diagram.
The area of the rectangle is length*height = (20pi)*(30) = 600pi square cm exactly.
If we were to use something like pi = 3.14, then its approximate area is 600*pi = 600*3.14 = 1884 square cm
Let's bump this up by 10%. To do so, we'll multiply by 1.10
1.10*1884 = 2072.4
What is 1.83333333333 as a fraction?
Answer:
1 83/99
Step-by-step explanation:
This is how u do it
Answer:
[tex]\frac{183333333333}{100000000000}[/tex]
Step-by-step explanation:
1.83333333333 as fraction
we need to divide the fraction by the number of digits it have before decimal point to convert it to fraction
here we have 11 digits before decimal point so we need to divide it by 100000000000
so
[tex]\frac{183333333333}{100000000000}[/tex]
a positive integer n is called special if n is divisible by 4, N+1 is divisible by 5 and n+2 is divisible by 6. how many special integers smaller than 1000 are there?
Answer:
17
Step-by-step explanation:
these positive integers are :
4, 64, 124, 184 ... , 964
964 = 4 + (n-1) (60)
964 = 4 + 60n -60
964 = 60n -56
60n = 1020
n = 1020/60
n = 17
so, the number of special integers smaller than 1000 are = 17
dy/dx y = 3root(4x+1) -2x
Answer:
Step-by-step explanation:
y = 3(4x + 1)^1/2 - 2x
dy/dx = 3*1/2(4x + 1)^-1/2 * 4 - 2
= 4 * 1.5 (4x + 1)^-1/2 - 2
= 6(4x + 1)^-1/2 - 2
= [6/√(4x + 1)] - 2
y = 3(4x + 1)^1/2 - 2x
∫3(4x + 1)^1/2 - 2x . dx
= 3 * 1/4 * (4x + 1)^3/2 / 3/2 - x^2 + C
= 3/4 * 2/3 (4x + 1)^3/2 - x^2 + C
= 1/2((4x + 1)^3/2 - 2x^2) + C.
Answer:
Step-by-step explanation:
[tex]y=3*\sqrt{4x+1} -2x\\\\y'=\dfrac{dy}{dx} =\dfrac{3}{2*\sqrt{4x+1} } -2\\\\\\\int {(3*\sqrt{4x+1} -2x}) \, dx \\\\=\dfrac{3}{4} *\int {4*(4x+1)}^{\frac{1}{2}} \, dx -2\int {x} \, dx \\\\=\dfrac{-3}{4}*\sqrt{(4x+1)^3} *\dfrac{2}{3} }-x^2+C\\\\=\dfrac{\sqrt{(4x+1)^3}}{2} -x^2+C[/tex]
Seth bought a 12 ounce jar of peanut butter for 3.60 what is the unit price
Answer:
12 ÷ 3.60 = 3.33¢
Step-by-step explanation:
$3.33 per ounce
HELP GIVING BRAINLESTTTT!!!!!!!!
Answer:
4
......................
a football team lost 9 yards on the first play and then gained 9 yards on the second play where did they start at
Answer:
y = x - 9 + 3 +3.
Step-by-step explanation:
.
Baseball is a field of dreams
Answer:
the answer is b
Step-by-step explanation:
i did this alrdy
Can Anyone answer the (i) and (ii) Question? I will mark you as Brainlist ☺️.
A sample is taken from all students in the art department. Students who wear
glasses are excluded. What is this an example of?
A. Selection bias
B. Nonselection bias
C. Nonresponse bias
D. Response bias
SUBMIT
Answer:
A. Selection Bias
Step-by-step explanation:
Selection bias is the bias introduced by the selection of individuals, groups, or data for analysis in such a way that proper randomization is not achieved, thereby ensuring that the sample obtained is not representative of the population intended to be analyzed. This is represented by choosing the students without glasses.
Answer:
selection bias
Step-by-step explanation:
i got it right
how many days altogether in the first four months of 1998
Answer:
120 days
Step-by-step explanation:
There are 31 days in January, 28 in February (this was not a leap year), 31 in March and 30 in April. All you have to do now is add 31 + 28 + 31 + 30 for a final answer of 120 days!
Answer:
120
Step-by-step explanation:
January: 31
February: 28
March: 31
April: 30
31+28+31+30=120
El secreto de Daniel es un número par menor que 10 pero mayor que 6 cuál es este número misterioso
Answer:
hbjzX cjlhzBiuwHEHFIU
Step-by-step explanation:
ISDUABLDKJHSABJHSDFABVHBFDAPIUVFHEPIUAHOIsdcasdkjbvihdfabihabydsih
On the real number line, point E is at –18 and point F is at –9. What is the distance between point E and point F ?
Answer:
-9
Step-by-step explanation:
pls help finding X
thank you if u do (Pls do not spam i have this in my test so need to learn)
Answer: x= 26
Step-by-step explanation:
27+x+127 = 180(being linear pair)
or, x + 154 = 180
or, x = 180-154
so, x = 26
Answer:
26
Step-by-step explanation:
Here,
27+ 127+ x =180
154+ x = 180
x =180-154
x=26
hope it is helpful
a number set consists of {4，5，6，7}。How many 2-digit combinations of numbers from the data set can be divided by 3？
Answer:
5
Step-by-step explanation:
This trick works with 3:
If the sum of the digits of a number is divisble by 3 then the number is divisble by 3.
44 is not divisble by 3 because 4+4=8 is not divisble by 3.
45 is divisble by 3 because 4+5=9 is divisble by 3.
46 is not divisble by 3 because 4+6=10 is not divisble by 3.
47 is not divisble by 3 because 4+7=11 is not divisble by 3.
54 is divisble by 3 because 5+4=9 is divisble by 3.
55 is not divisble by 3 because 5+5=10 is not divisble by 3.
56 is not divisble by 3 because 5+6=11 is not divisble by 3.
57 is divisble by 3 because 5+7=12 is divisble by 3.
64, 65,67 are not divisble by 3 because their digits' sums are 10,11, and 13 respectively. 66 is a winner because 6+6=12 is divisble by 3.
Finally 7...
74,76,77 are not divisble by 3 because their digits' sums are 11,13, and 14 respectively. 75 is divisble by 3 because 7+5=12 is divisble by 3.
The victors are
45
54
57
66
75
6+m/2 = -3
Help me pleAseeee
Answer:
m = -18
Step-by-step explanation:
6 + m/2 = -3
Subtract 6 from each side
6 + m/2 -6 = -3-6
m/2 = -9
Multiply each side by 2
m/2 * 2 = -9*2
m = -18
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{6+ \dfrac{m}{2}=-3}}}\\\huge\boxed{\rightarrow\mathsf{6 + \dfrac{1}{2}m = -3}}[/tex]
[tex]\huge\boxed{\rightarrow \mathsf{\dfrac{1}{2}m+ 6 = -3}}\\\\\huge\boxed{\text{SUBTRACT 6 to BOTH SIDES}}\\\huge\boxed{\mathsf{\dfrac{1}{2}m + 6 - 6 = -3 + 3}}[/tex]
[tex]\huge\boxed{\mathsf{\dfrac{1}{2}m = -9}}[/tex]
[tex]\huge\boxed{\text{MULTIPLY 2 to BOTH SIDES}}[/tex]
[tex]\huge\boxed{\mathsf{\dfrac{1}{2}m \times 2 = 2 \times -9}}[/tex]
[tex]\huge\boxed{\mathsf{m = 2\times-9}}\\\huge\boxed{\mathsf{2\times-9 = m}}\\\huge\boxed{\mathsf{2\times-9 = \bf -18}}\\\\\huge\boxed{\textsf{Therefore, your answer: \bf -18}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
x² - xy = 0
x + y = 1
Answer:
(0, 1 ) and ([tex]\frac{1}{2}[/tex], [tex]\frac{1}{2}[/tex] )
Step-by-step explanation:
Given the 2 equations
x³ - xy = 0 → (1)
x + y = 1 → (2) ( subtract x from both sides )
y = 1 - x → (3)
Substitute y = 1 - x into (1)
x² - x(1 - x) = 0
x² - x + x² = 0
2x² - x = 0 ← factor out x from each term on the left side
x(2x - 1) = 0
Equate each factor to zero and solve for x
x = 0
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]
Substitute these values into (3) for corresponding values of y
x = 0 : y = 1 - 0 = 1 ⇒ (0, 1 )
x = [tex]\frac{1}{2}[/tex] : y = 1 - [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{2}[/tex] ⇒ ( [tex]\frac{1}{2}[/tex], [tex]\frac{1}{2}[/tex] )
Solve for r.
-5 - 9r = -14 - 18r
Submit
Answer:-1
Step-by-step explanation:
A triangle has side lengths of 2x , x + 4, and 3 (x + 3). Find the value of x if the perimeter of the triangle is 55 inches.
Answer:
x=7
Step-by-step explanation:
55=2x+(x+4)+[3(x+3)]
55=2x+x+4+3x+9
55=6x+13
55-13=6x
42=6x
7=x
Answer:
7 inchesStep-by-step explanation:
Perimeter is the sum of side lengths:
P = 2x + x + 4 + 3(x + 3)P = 55Solve for x:
2x + x + 4 + 3(x + 3) = 553x + 4 + 3x + 9 = 556x + 13 = 556x = 55 - 136x = 42x = 42/6x = 7Need help as soon as possible pls!!!!!
Answer:
probability
Step-by-step explanation:
do some division to calculate the probality of landing on a blue 1/3 and add up the numbers.
Solve for x:
2x + 5y = 8
Enter the number that belongs in the green box.
X =
By
fyt
Enter
Answer:
the answer is in picture
Answer:
x=5/2y+4
Step-by-step explanation:
Which of the graphs model the equation y= x^2?
Answer:
Step-by-step explanation:
The general equation for a parabola is y=4(x^2). The given eqn is y=x^2.
The equation resembles a parabola.
So clearly the answer is either B or C.
Now substitute some values. The value of y can't be negative because x^2 will always be positive.
The answer is B.
You deposit $300 into a savings account that is compounded annually. The function g(x) = 300(1.04)x can be used to find the amount of money in the savings account after x years. What is the constant percent rate of change?
Answer:
This is a simple interest, as the amount earned each year is constant
Step-by-step explanation:
Using compound interest, it is found that the constant percent rate of change is of 4%.
--------------------
The formula for an amount of money invested into compound interest is given by:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which:
A(t) is the amount after t years.A(0) is the initial amount.r is the constant percent rate of change.t is the time.--------------------
The function is:
[tex]g(x) = 300(1.04)^x[/tex]
Thus, for the constant percent rate of change:
[tex]1 + r = 1.04[/tex]
[tex]r = 1.04 - 1 = 0.04[/tex]
[tex]0.04 \times 100\% = 4\%[/tex]
The constant percent rate of change is of 4%.
A similar problem is given at https://brainly.com/question/3044643