Piper and her children went into a movie theater and she bought $59.50
bags of popcorn and candies. Each bag of popcorn costs $8.50 and each candy costs
$4.25. She bought 8 more candies than bags of popcorn. Graphically solve a system
of equations in order to determine the number of bags of popcorn, x, and the number
of candies, y, that Piper bought.
6 candy boxes
Step-by-step explanation :
Since they both bought their own popcorn that means they both spent $8 on popcorn making that a total of $16. Therefore we now only need to find one variable which is the number of candy boxes that they bought in order to reach the $25 total that they spent. This variable can be represented as x in the following algebraic equation.
(2*8) + 1.50x = 25
16 + 1.50x = 25 ... subtract 16 from both sides
1.50x = 9 ... divide both sides by 1.50
x = 6
Finally, we can see that Billy and Tommy bought a total of 6 candy boxes.
Answer:
This is the answer on Delta Math
Step-by-step explanation:
On a test, you earn 92% of the possible points by correctly answering 6 five-point questions and 8 two-point questions. How many points $p$ is the test worth?
The test is worth p= points.
Step-by-step explanation:
(6×5)+(8×2)=46
92℅=46points
100℅=x
criss cross
92℅x=46
92℅. 92℅
and this is the answer
Answer:
50 Points Total
Step-by-step explanation:
You only got 92% right on the test to that means you missed some questions. So 6x5=30, 18x2=16, 16=30=46 100%-92%=8%, 8%=4 points.
What is the area, in square inches, of the triangle? A =1/2bh
Answer: 24 in.²
Step-by-step explanation: Since the base of the triangle has a length of 8 inches and the height of the triangle has a length of 6 inches, the area of the triangle is 1/2(8)(6) or 1/2(48) which is 24.
So the area of this triangle is 24 in².
Answer:
24 in^2
Step-by-step explanation:
Plug known values into the equation for triangle area: \(A=\frac{bh}{2}\) and solve.
Another way to think of this is to multiply the base value and height value together (which is how you get area of a rectangle) and divide by two because triangles are essentially rectangles cut in half.
factorise:x^3-(y-z)^3
The factorized form of \(x^3 - (y - z)^3\ is \ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)
The Factorization is derived from the application of a mathematical identity. As an AI language model, the information provided is generated based on existing knowledge and formulas.
The given expression is \(x^3 - (y - z)^3.\)To factorize it, the difference of cubes, which states that a^3 - b^3 can be factorized as\((a - b)(a^2 + ab + b^2).\)
Applying this identity to our expression, we have:
\(x^3 - (y - z)^3 = (x - (y - z))((x - (y - z))^2 + (x - (y - z))(y - z) + (y - z)^2)\)
Simplifying further, we get:
\(= (x - y + z)(x^2 - 2xy + 2xz - y^2 + 2yz - z^2 + xy - y^2 + yz - z^2 + y^2 - 2yz + z^2)\\= (x - y + z)(x^2 - 2xy + xy + 2xz + yz - 2yz - y^2 + y^2 - y^2 + 2yz - 2z^2 + y^2 - z^2 + z^2)\\= (x - y + z)(x^2 - xy + 2xz + yz - 2z^2)\)
So, the factorized form of \(x^3 - (y - z)^3 \ is\ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)
the above factorization is derived from the application of a mathematical identity.
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I’ll pay you if you help me
Answer: help you with what?
Step-by-step explanation:.-.
Haha. No need of money. But ask the question..
waiting..
Please Help!
1. If you take a Uber and they charge $5 just to show up and $1.57 per mile, how much will it cost you to go 12 miles? (Assume no tip.)
a. Create an equation from the information above.
b. Identify the slope in the equation?
c. Calculate the total cost of the ride?
2. With the same charges as #1, how many miles could you go with $50, if you also gave a $7.50 tip? (Challenge Question! Hint, you only have a $50, exactly, with you.)
Answer:
1. 23.84
a. Let x = Each mile
5 + 1.57x
b. Let Y = graph position
y = 5 + 1.57x
c. 23.84
2. 27 Miles
Step-by-step explanation:
Which of these inequalities means that
18 is greater than three times a number?
Let's write this verbal phrase as an inequality.
First of all, let the number be n.
"three times n" can be written like so:-
\(\pmb{3n}\)
Now, 18 is greater than 3n:-
\(\pmb{18 > 3n}\)
Which means 3n is less than 18:-
\(\bigstar{\boxed{\pmb{3n < 18}}}\)
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)
14) Find the product of seven times five and two
thousandths.
Answer:
35.015
Step-by-step explanation:
see attached image
Item #1
Item #2
2
Cheerios
$3.65
for 17 oz.
Fruit Loops
$2.88
for 13 oz.
Unit Price
Which is the better deal? (Circle One)
Item #1
Item #2
Answer:
i think item 1 is the better deal...
√2+√3/3√2-2√3=x+√6 y value if x and y
Answer:
B. (x - 3²)(y-6)
Step-by-step explanation:
Find the expression with a value of 30;
when x = -1 and y = 3:
A. (x - 3²).y-6
(-1 - 9).3-6 = -10 x 3 -6 = -30 - 6 = -36
B. (x - 3²)(y-6)
( -1 -3²)(3 - 6) = (-1 -9)(-3) = 30
C. x - 3² . (y-6) = -1 - 9.(3-6)
= -1-9.-3
= -1 - 9 x -3
= -1 + 27
= 26
D. x - 3².y-6 = -1 - 9. 3 - 6
= -1 - 27 - 6
= -34
A person's Body Mass Index (BMI) is a measure of the amount of fat in their body. The relationship between antioxidant food consumption per day in cups and the BMI of an individual is modeled by the following line of best fit: \(y=-1.2x+26\) . Interpret the slope and intercept of the trend line within the context of the data.
DIRTY ANSWERS REPORTED
NO LINKS ALLOWED!
Answer:
The slope of -1.2 means that for each cup of antioxidant a person consumes per day, it's BMI decreases by 1.2.
The intercept of 26 means that a person that does not consume any cup of antioxidant food a day should have an BMI around 26.
Step-by-step explanation:
Line of best fit:
\(y = -1.2x + 26\)
Slope:
The slope is the number that multiplies x, that is, -1.2. The slope of -1.2 means that for each cup of antioxidant food a person consumes per day, it's BMI decreases by 1.2.
Intercept:
Value of y when x = 0, that is, 26. The intercept of 26 means that a person that does not consume any cup of antioxidant food a day should have an BMI around 26.
Answer:
the slope is -1.2 and the intercept is 26.
Step-by-step explanation:
our line's equation is y= -1.2x + 26
In the equation y = mx + b, m is the slope and b is the y-intercept. So in this equation, look for where the numbers are placed and that it what you get.
Write an expression to represent the
total area as the sum of the areas of
each room.
11(7 + 4) =
? · 7+11.
?
11 x 7 + 11 x 4 is the expression of the total area as the sum of the areas of
each room.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
11 (7 + 4)
Using the property of multiplication over addition.
11 x 7 + 11 x 4
Thus,
11 x 7 + 11 x 4.
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find the coordinate of a triangle a(1,3) , b(2,5) and c(3,3) after being rotated about fixed point p(2,4) by 45 in clockwise direction and then translate (3,4) .
After the transformation point A will be at (5, 6.586), point B will be at (5.121, 7.121) and point C will be at (6.121, 5.121).
STEPS FOR FIND THE COORDINATEThe coordinates of a triangle after rotation and translation can be found using the following steps:
Rotation: To rotate a point (x, y) about a fixed point (a, b) by an angle θ (in this case, 45 degrees in the clockwise direction), you can use the following formulas to find the new coordinates:x' = (x - a) * cos(θ) - (y - b) * sin(θ) + a
y' = (x - a) * sin(θ) + (y - b) * cos(θ) + b
Translation: To translate a point (x, y) by a distance (dx, dy) in the x and y direction, you can use the following formulas to find the new coordinates:x' = x + dx
y' = y + dy
So for the first vertex of the triangle(1,3) after being rotated about fixed point p(2,4) by 45 in clockwise directionx' = (1 - 2) * cos(45) - (3 - 4) * sin(45) + 2 = -1.121 + 1.121 + 2 = 2.000
y' = (1 - 2) * sin(45) + (3 - 4) * cos(45) + 4 = -0.707 - 0.707 + 4 = 2.586
And after the translation (3,4) for point Ax' = 2 + 3 = 5
y' = 2.586 + 4 = 6.586
similarly for point B(2,5) will be (5.121,7.121)
and for point C(3,3) will be (6.121,5.121)
So after the transformation point A will be at (5, 6.586), point B will be at (5.121, 7.121) and point C will be at (6.121, 5.121)Learn more about coordinate of a triangle here:
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about your photograph 4 in wide and 6in long the photograph is enlarged and their larger is proportional to the original photograph with a larger and has a width of 12 in what is the length of the Enlargement
Answer: 18 inches.
Explanation: A simple way to see this problem is to convert the width and length of the photo into a ratio. Width to Length. Now that ratio would be 4:6
or in other words 4 to 6. Ratios can be written as fractions. In this case 4:6 can be written as 4/6. Now all that is left to do is find the missing number of the next ratio since we know that the next ratio is 12 to unknown number.
Step 1.) Once you convert the ratio into a fraction find your variables.
4/6 = 12/?
Step 2.) Let's change the unknown number to x in value according to algebra.
4/6 = 12/x
Step 3.) Solve using cross multiplication.
4/6 = 12/x
4(x) = 6(12)
4x = 72
4x/4 = 72/4
x=18
Hope this helps. Let me know if you have any questions.
Your Welcome, :-)
please help me, i literally have 0 clue what any of this means
a. The function, (A + N) (t) = 5. 31t² -102t + 1338
b. The total number of Army personnel and Navy personnel from 1990 to 2002 is given by the function 5. 31t² -102t + 1338
c. (A + N)(4) = 1014.96
d. The total number of Army personnel and Navy personnel from 1990 to 2002 is 1014.96
How to determine the valuesWe need to know that functions are described as expressions, rules or laws showing the relationship between two variables.
These variables are the dependent and independent variables.
From the information given, we have;
A(t) = 3.36t² - 59. 8t + 735
N(t) = 1.95t² - 42.2t + 603
Then, we have;
a. (A + N) (t)
Add the functions, we get;
3.36t² - 59. 8t + 735 + 1.95t² - 42.2t + 603
collect the like terms, we have;
5. 31t² -102t + 1338
c. (A + N)(4) = 5.31(4)² - 102(4) + 1338
expand the bracket, we have;
(A + N)(4) = 84.96 - 408 + 1338 = 1014.96
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How do you compress this?
\(\displaystyle\\(a+b)^n\\T_{r+1}=\binom{n}{r}a^{n-r}b^r\\\\\\(x+2)^7\\a=2x\\b=3\\r+1=4\Rightarrow r=3\\n=5\\T_4=\binom{5}{3}\cdot (2x)^{5-3}\cdot3^3\\T_4=\dfrac{5!}{3!2!}\cdot 4x^2\cdot27\\T_4=\dfrac{4\cdot5}{2}\cdot 4x^2\cdot27\\\\T_4=1080x^2\)
Consider the following amortization schedule:
Payment # Payment Interest Debt Payment
1
966.45
750.00 216.45
2
966.45 748.92 217.53
3
966.45
y
Balance
149,783.55
149,566.01
With the exception of column one, all amounts are in dollars. What is starting principal of the loan? Give your answer in
dollars to the nearest dollar. Do not include commas or the dollar sign in your answer.
The starting principal of the loan based on the amortization schedule is $150,000 with periodic payments of $966.45, made up of both interest and debt repayment.
How is the starting principal of the loan determined?Arranging the amortization schedule properly as below shows that the balance after the first loan repayment is $149,783.55.
The repayment amount in the first period is $216.45.
When the loan balance after the first loan repayment is added to the first loan payment, it gives a total of $150,000 ($149,783.55 + 216.45), being the initial or starting loan principal.
Data and Calculations:Payment # Payment Interest Debt Payment Balance
1 966.45 750.00 216.45 149,783.55
2 966.45 748.92 217.53 149,566.01
3 966.45
y = Balance + Debt Payment for Period 1
= $150,000 ($149,783.55 + 216.45)
We can also compute the monthly interest rate as ¹/₂% ($750/$150,000 x 100), while the annual interest rate is 6% (12 x ¹/₂%).
Thus, the starting principal of the loan based on the amortization schedule is $150,000.
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Simplify the expression. (x2−3)(−x+1)
Mrs. O'Dell has 8 different
vegetables to plant in her
garden. She wants to divide
her garden into 8 squares. Each
square should be the same size.
Help Mrs. O'Dell divide her
garden into 8 squares. What is
the measurement of each side
of the squares?
The measurement of each of the squares will guarantee Mrs. O'Dell has 8 different squares and they are all the same size are 75 centimeters by 100 centimeters.
How to divide the total area into 8 squares which are the same size?To begin, let's identify the best way to divide the total area. For this, there are 2 options:
Create two rows each with 4 squares = 4 x 2 = 8Create four rows each with 2 squares = 2 x 4 8=Let's use the first pattern:
Length: 3 meters / 4 = 0.75meters or 75 centimetersWidth= 2 meters / 2 = 1 meter or 100 centimetersBased on this, the dimensions for each section should be 75 centimeters by 100 centimeters.
Note: This question is incomplete; here is the missing section:
Dimensions of the garden: 3 meters x 2 meters
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0.8 as a fraction??
You can give your answer
Answer: 4/5
Step-by-step explanation:
0.8 = 8/10 = 4/5
Answer:
4/5
Step-by-step explanation:
Find two consecutive whole numbers that 68 lies between.
uhm, 67 and uknown number lol.
If the height of a falling object after a certain amount of time is given by the equation , which of the following is true?
A.) t must be greater than or equal to 16.
B.) t must be greater than or equal to 0.
C.) h must be greater than or equal to 500.
D.) h must be less than or equal to 0.
Answer:
B
Step-by-step explanation:
Time can't go backwards
For the data set
1
17 17 18 20
32 32 33 34 34 36 38 39 43 44
2 3 4 7 7 7 8 11 12 12 15 15 16 17
20 22 24 24 25 26 26 26 26 27 30
45 46 47 47 48
51 52 52 53 54 54 54 55 56 58 58 59 61 63 65
65 67 69 70 73 75 75 76 77 77 79 80 81 82 82
How do I find the 17th percentile of this list of numbers
Answer:
15.58
Step-by-step explanation:
1. Arrange n number of data points in ascending order: x1, x2, x3, ... xn
2. Calculate the rank r for the percentile p you want to find: r = (p/100) * (n - 1) + 1
3. If r is an integer then the data value at location r, xr, is the percentile p: p = xr
4. If r is not an integer, p is interpolated using ri, the integer part of r, and rf, the fractional part of r:
p = xri + rf * (xri+1 - xri)
PLEASE HELP I DO ANYTHING
Answer:
Step-by-step explanation: 4 if i believe
Question 3
What is the slope of the line
Answer:
where's figure heheeeeee
what the dog doing ?
The dog is playing with his chew toy!
Answer:
Explanation
Step-by-step explanation:
In general, dogs can run 15-20 mph
humans can run 6-8 mph
You are significantly slower than the dog,
the fastest human is around 27 miles per hour, unfortunately, even if you were this fast
the fastest dog can run 40 miles per hour as an estimate
even house cats can run at 30 mph maximum if they really wanted,
You have no chance of outrunning this dog, and barely a chance of outsmarting it if that option was available, in conclusion, the dog is chasing you at a speed of around 30 mph about 6-7x more than your own speed with no chance of outrunning it(the dog).
The density of silver is 10.49g/cm3. If a sample of pure silver has a volume of 12.993cm3, what is the mass?
Answer:
d X v = m
12.993 X 10.49 = 136.29657
what is 1*2
I give away points
1 times 2 is equal to 2.
What do you mean by multiplication?Multiplication is a mathematical operation that combines two numbers (known as "factors") to produce a third number (known as the "product"). It is represented using the symbol "x" or the asterisk (*).
For example, consider the multiplication of the numbers 2 and 3:
2 x 3 = 6
Here, 2 and 3 are the factors, and 6 is the product. Multiplication is a type of arithmetic operation that can be used to find the total number of items in a set, the area of a rectangle, the volume of a rectangular prism, and many other quantities.
In summary, multiplication is a mathematical operation that combines two numbers to produce a third number, and it is represented using the symbol "x" or the asterisk (*). It is an important operation in mathematics, used to find the total number of items in a set, the area of a rectangle, the volume of a rectangular prism, and many other quantities.
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A police officer invested $5,000 in a treasury bond paying 4.75% interest compounded quarterly. After 25 years, the value of the bond will be $16,280.08. If the police officer's investment was compounded continuously instead of four times per year, what would be the difference in the account balances after 25 years?
Answer:
114.29
Step-by-step explanation:
Help meee. Multiply the polynomials.
(3x2 + 3x + 5)(6x + 4)
A. 18x2 + 6x2 + 42x+ 20
B. 18x2 + 30x2 + 42x - 20
C. 18x2 + 30x2 + 2x - 20
D. 18x3 + 30x2 + 42x + 20