The total number of popcorn boxes is given by the equation
A = 250 boxes
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of boxes of popcorn be A
Now , the equation will be
Let the cost of one fruit bar = $ 0.30
Let the cost of one popcorn box = $ 0.60
The amount to be raised = $ 300
The number of fruit bars sold = 500
So , the cost of 500 fruit bars = 500 x cost of one fruit bar
Substituting the values in the equation , we get
The cost of 500 fruit bars = 500 x 0.30
The cost of 500 fruit bars = $ 150
Now , the remaining amount to be raised = 300 - 150
The remaining amount to be raised = $ 150
The number of boxes of popcorn A = remaining amount to be raised / cost of one popcorn box
Substituting the values in the equation , we get
The number of boxes of popcorn A = 150 / 0.60
The number of boxes of popcorn A = 250 boxes
Therefore , the value of A is 250 boxes
Hence , the number of boxes is 250
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HELP!! VERY TIME TIME SENSITIVE
Point A lies on the graph of f(x) = 1/2x + 2. Locate the image of point A that lies on the graph of f^-1(x)
A.) (-2, 1)
B.) (2, -1)
C.) (-1, 2)
D. (1, -2)
Answer:
B is your correct answer
Step-by-step explanation:
The image of point A on the graph of f⁻¹(x) has coordinates (x, y) = (3, 2).
What is Inverse of function?The inverse of a function is a new function that "undoes" the original function. More formally, if a function f maps elements of a set X to elements of a set Y, and if there is a function g that maps elements of Y back to elements of X such that g(f(x)) = x for all x in X, then g is called the inverse of f.
First, we need to find the inverse of f(x) = 1/2x + 2. We can do this by switching x and y and solving for y:
x = 1/2y + 2
x - 2 = 1/2y
2x - 4 = y
So, the inverse function is f⁻¹(x) = 2x - 4.
Now, we can use the coordinates of point Ato find its image on the graph of f⁻¹(x).
Point A has coordinates (x, y) = (0, 2) since it lies on the graph of f(x) = 1/2x + 2. We want to find the image of this point on the graph of f⁻¹(x) = 2x - 4.
We can start by plugging in y = 2 into the equation for f⁻¹(x):
y = 2x - 4
2 = 2x - 4
6 = 2x
x = 3
So, the image of point A on the graph of f⁻¹(x) has coordinates (x, y) = (3, 2).
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I need loads of help
Answer:
2 8c+3
Step-by-step explanation:
Answer:
8c+3
Step-by-step explanation:
for #2
GIVING BRAINLIEST PLEASE HELP
Answer:
The answer is B
Step-by-step explanation:
Answer:
ans is B sorry if it's direct
Tran has a coin jar that contains nickels, dimes, and quarters. There are 185 coins in the jar. There are 5 more dimes than quarters. If the total value of the coins in the jar is $25.25 how many quarters does the jar contain?
Answer:
[tex]63[/tex]
Step-by-step explanation:
Let number of nickels be [tex]x[/tex]
Number of dimes be [tex]y[/tex]
Number of quarters be [tex]z[/tex]
Total number of coins is [tex]185[/tex]
[tex]x+y+z=185[/tex]
Number of dimes is 5 more than quarters
[tex]y=5+z[/tex]
[tex]x+(5+z)+z=185\\\Rightarrow x+2z=180\\\Rightarrow x=180-2z[/tex]
Amount of money in the jar is $25.25
[tex]0.05x+0.1y+0.25z=25.25\\\Rightarrow 0.05x+0.1(5+z)+0.25z=25.25\\\Rightarrow 0.05x+0.5+0.1z+0.25z=25.25\\\Rightarrow 0.05x+0.35z=24.75[/tex]
[tex]0.05(180-2z)+0.35z=24.75\\\Rightarrow 9-0.1z+0.35z=24.75\\\Rightarrow 9+0.25z=24.75\\\Rightarrow z=\dfrac{24.75-9}{0.25}\\\Rightarrow z=63[/tex]
[tex]y=5+z=5+63\\\Rightarrow y=68[/tex]
[tex]x=180-2z=180-2\times 63\\\Rightarrow x=54[/tex]
So, the number of quarters is [tex]63[/tex].
Answer:
63 is the correct answer :)
Step-by-step explanation:
A picture 10 feet long is to be centered on a wall that is 15 feet long, How much space is there from
the edge of the wall to the picture?
Answer:
2.5
Step-by-step explanation:
15-10=5
5/2=2.5
Simplify the expression:
7(1 + 8v)
7 ( 1 + 8 )
simplify
1. rearrange terms
7(1 + 8v)
7(8v + 1)
2. Distribute
7(8v + 1)
56v + 7
Solution
56v + 7help me out? please !
Answer:
trapezoid
Step-by-step explanation:
Which is the best estimate of the difference between
6
7
8
and
2
1
8
?
A.
1
B.
3
C.
5
D.
8
Answer:
c. 5
Step-by-step explanation:
678 rounds to 700 and 218 rounds to 200. 700-200=500
X^2+3x+4=(x+a)^2+b what is A and B equal please help me
Answer:
a = 1.5, b = 1.75
Step-by-step explanation:
Expand the right side using FOIL, then compare the coefficients of like terms with the expression on the left side.
(x + a)² + b
= x² + 2ax + a² + b , then compare to
x² + 3x + 4
Comparing the coefficients of the x- terms
2a = 3 ( divide both sides by 2 )
a = 1.5
Comparing the constant terms
a² + b = 4
1.5² + b = 4
2.25 + b = 4 ( subtract 2.25 from both sides )
b = 1.75
What is the solution of the system of equations shown in the graph below?
Answer:
Answer is (-1,-2) As where 2 lines bisect, that point be the answer. And in given scenario, both the lines bisected at (-1,-2)
Step-by-step explanation:
PLEASE help mee. Explain and show work plsss.
6. yes, if line was originally in the top right quadrant you could lower y intercept so that it no longer goes through top right
pls help I literally don’t get this
In the hospital, 80 people were admitted Friday, 25% of these admissions were women in labor to have babies. How many women were in labor? O A 25 OB. 20 O C. 35 O D. 30
Answer:
Step-by-step explanation:
25% it means 1/4 of the total
1/4 of 80 is 20 (80/4=20)
answer B
solve the equation -3x=9
Answer: x = -3
Step-by-step explanation:
-3x = 9
9 ÷ -3 = -3
:)
Answer:
x = -3
Step-by-step explanation:
-3x = 9
9 divide by -3 = -3
The sum of two positive integers, x and y, is not more than 40. The difference of the two integers is at least 20. Chaneece chooses x as the larger number and uses the inequalities y<=40-x and y<=x-20
Answer:
The value of x lies between 20 and 40 and value of y lies between -20 and 10
Step-by-step explanation:
We are given that
[tex]y\leq 40-x[/tex]....(1)
[tex]y\leq x-20[/tex]...(2)
First we convert inequality equation into equality equation to find the solution of the given system of inequality equation.
Therefore, we can write as
[tex]y=-x+40[/tex]...(3)
[tex]y=x-20[/tex]...(4)
Adding equation (3) and (4) we get
[tex]2y=20[/tex]
[tex]y=10[/tex]
Substitute y=10 in equation (3) we get
[tex]10=40-x[/tex]
[tex]x=40-10=30[/tex]
(30,10) is the intersect point of two equation.
Put x=0 in equation (3)
[tex]y=40[/tex]
Substitute y=0 in equation (3)
[tex]x=40[/tex]
Substitute x=0 in equation (4)
[tex]y=-20[/tex]
Substitute y=0 in equation (4)
[tex]x=20[/tex]
Substitute x=0 and y=40 and in equation (1)
[tex]40\leq 40[/tex]
Hence, the equation is true.Therefore, the shaded region below the line.
Substitute x=0 and y=-20 in equation (2)
[tex]-20\leq -20[/tex]
The equation is true. Hence, the shaded region is below the line.
Hence, the value of x lies between 20 and 40 and value of y lies between -20 and 10.
Answer: No, Chaneece mixed up the variables. The correct solution is that x must be between 20 and 40 and y must be between 0 and 20.
Step-by-step explanation:
BRAINLIEST! URGENT! I need help with this, the parabola is confusing me.
if there are 93 calories in 3/4 cups how many calories are in 1 cup
Answer:
124
Step-by-step explanation:
Cross Multiply
(93x4)/3
7x^2a+7xa^2
Find the greatest common factor
Answer:
GCF is 7xa
Step-by-step explanation:
Answer:
hCf is 7ax
plz refer to the picture
plz mark as brainliest
9% ___ 0.4 will give brainliest
pls help :)
Answer:
9% is less than 0.4. 0.4 is really 4/10 which is 40% 40 is greater than 9 therefore 9% is less than 0.4! So your answer is 9%<0.4! I hope this helped!
Step-by-step explanation:
PLEASE HELP DUE TMRW!
A furniture company buys chairs at wholesale price of $48. They mark
up the price so they make a 30% profit. How much will one chair sell for?
Answer:
i dont know just trying to get pionts haha sorry rihana
Step-by-step explanation:
I don’t understand this
Answer:
your just finding area so
1.5×2.5=
1.5×1.5/2=
1.5×2.5=
I will put the answers in the comments I need to use a calculator
Answer:
Step-by-step explanation:
Think of it as two rectangles and one triangle.
The first rectangle is 1.5 * 2.5 = 3.75 square feet.
There is two of these rectangles, so you can do 3.75 *2 = 7.5 square feet.
Finally, the triangle is 1.5 by 1.5, so the area is 1.5 * 1.5 / 2 = 1.125.
To find the total area, add the two together: 7.5 + 1.125 = 8.625 square feet
IM BEING TIMED PLZ HURRY AND THANKS What is the sum of a° + c°
Answer:
300°
Step-by-step explanation:
a° is 180°
c° is 120° (from 180° = 60° + c°)
look at this please it would really help
I need help with this ASAP and can you explain so i can understand?!
Answer:
Adult tickets sold = 225
Student Tickets sold = 375
Step-by-step explanation:
Let:
Adult tickets sold = x
Student Tickets sold = y
Total tickets sold = 600
So, we can write: x+y = 600
Total money collected = 3037.50
Cost of 1 Adult ticket = $6.00
Cost of one Student ticket = $4.50
So, we can write: 6x+4.5y=3037.50
Now, we get a system of equations, that if solved we can find values of x and y
Let:
[tex]x+y = 600--eq(1)\\6x+4.5y=3037.50--eq(2)[/tex]
We can solve using substitution method.
Finding value of x from eq(1) and putting it in eq(2)
[tex]We\:have\\x+y=600\\x=600-y[/tex]
Put in eq(2)
[tex]6x+4.5y=3037.50\\6(600-y)+4.5y=3037.50\\3600-6y+4.5y=3037.50\\-1.5y=3037.50-3600\\-1.5y=-562.5\\y=\frac{-562.5}{-1.5}\\y=375[/tex]
So, we get value of y = 375
Now put value of y in eq(1) to find value of x
[tex]x+y=600\\Put\:y=375\\x+375=600\\x=600-375\\x=225[/tex]
So, we get value of x = 225
The Tickets sold will be:
Adult tickets sold = x = 225
Student Tickets sold = y = 375
Justin is training to run in a 5-mile race. To practice, he ran 15 miles in one week. How many yards did he run in that week?
Answer:
26,400
Step-by-step explanation:
How many times do 5 go into 8
Answer:
1 time :)
Step-by-step explanation:
Answer:
It can only go into 8 once
8÷5=1.6
Step-by-step explanation:
expand and simplify (x-3)(2x+1)(3x-2)
Answer:
6x³ - 19x² + x + 6
General Formulas and Concepts:
Algebra I
Terms/CoefficientsExpand by FOIL (First Outside Inside Last)Step-by-step explanation:
Step 1: Define
(x - 3)(2x + 1)(3x - 2)
Step 2: Expand
Expand [FOIL]: (2x² + x - 6x - 3)(3x - 2)Combine like terms: (2x² - 5x - 3)(3x - 2)Expand: 6x³ - 15x² - 9x - 4x² + 10x + 6Combine like terms: 6x³ - 19x² + x + 6On Monday, I sold 5 small Christmas wreaths and 3 large Christmas wreaths for a total of $82. Let x represent the cost of small wreaths and y represent the cost of large wreaths. Write an equation to represent this situation.
Answer:
The equation is, [tex]5x+3y=82[/tex].
Step-by-step explanation:
Let [tex]x[/tex] represent the cost of small wreaths.
So, the cost of [tex]5[/tex] small Christmas wreaths [tex]=5x[/tex].
Let [tex]y[/tex] represent the cost of large wreaths.
So, the cost of [tex]3[/tex] large Christmas wreaths [tex]=3y[/tex].
On Monday, [tex]5[/tex] small Christmas wreaths and [tex]3[/tex] large Christmas wreaths are sold for a total of [tex]\$82[/tex].
The equation is, [tex]5x+3y=82[/tex].
which the of triangles is similar to PQR
Answer:
D
Step-by-step explanation
18/15=1.2
21/1.2=17.5
They Match!
pls help!!!
what would the answer be when it is in standard form.