To calculate the amount of the sales tax on Sally's purchase, we first need to add the prices of the shoes and the shirt together. So, $12.50 + $23.50 = $36. Then, we need to calculate 8.25% of $36, which is done by multiplying 36 by 0.0825. That gives us a sales tax of $2.97. So, the amount of the sales tax on Sally's purchase is $2.97.
In summary, Sally wants to buy shoes for $12.50 and a shirt for $23.50, and the sales tax is 8.25% on a purchase of 50 points. The amount of the sales tax on Sally's purchase is $2.97. In order to calculate the sales tax, we added the prices of the items together and then calculated 8.25% of that total.
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PLEASE HELP DUE NEXT WEEK!
Answer:
7/12 of a mile
3/4 = 18/24
1/6 = 4/24
18-4 = 14
14/24 = 7/12
Step-by-step explanation:
The distance AB rounded to the nearest = [ ? ]
You’ll be marked as brainlest !! Help !!
The points shown on the graph are (-1,2) and (1,-2).
d = sqrt{-2-2)^2 + (1-(-1))^2}
d = sqrt{(-4)^2 + (1+1)^2}
d = sqrt{16 + 4}
d = sqrt{20}
d = 4•sqrt{5}
d is about 8.94427191.
Rounded to the nearest tenth, we get d = 8.9.
Answer:
4.5
Step-by-step explanation:
A.What is the slope
B.What is the Y-Intercept
C.is it proportional or non-proportional
D.Write the linear equation
using slope intercept form
Answer:
A. 1
B. -1
C. Proportional
D. y=x-1
Shelly has a beaker that contains 5 and two-thirds fluid ounces of water. She pours out 3 and one-third fluid ounces of water. Which expression can be used to find the number of fluid ounces of water that remain in the beaker?
Answer: x = 5 2/3 - 3 1/3
Step-by-step explanation:
From the question, we are informed that Shelly has a beaker which contains 5 2/3 fluid ounces of water and that she pours out 3 1/3 fluid ounces of water. The expression that an be used to find the number of fluid ounces of water which remain in the beaker goes thus:
Let's represent the remaining water in the beaker as x.
Since 3 1/3 fluid ounces of water has been poured our from 5 2/3 fluid ounces of water. The expression will be:
x = 5 2/3 - 3 1/3
Answer:
A
Step-by-step explanation:
It's A on edge
Wynn is 24 years old and has decided to reduce the number of cups of coffee he buys by 2 cups per day. One cup of coffee typically costs $2.50. Assuming 30 days in a month, if he chooses to invest this money at the end of every 6 months into an investment paying 5.50% compounded semi-annually, how much will he have when he turns 69?
The total amount he would have at 69 is $343,347.81.
What is the total amount saved?The formula that can be used to determine the future value of the deferred annuity is:
Future value = annuity factor x monthly deposit
Annuity factor = {[(1+r)^n] - 1} / r
Where:
r = interest rate = 5.5 /2 = 2.75%n = number of payments = 2 x (69 - 24) = 90Amount he would save every 6 months:
amount saved per day = $2.50 x 2 = $5Amount saved per month : $5 x 30 = $150 Amount saved every 6 months = $150 x 6 = $900Future value : 900 x {[(1.0275^90) - 1] / 0.275}= $343,347.81
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Please, Help me with this question
Answer:
18. Two real solutions
Step-by-step explanation:
Q 18
For a quadratic equation in standard form i.e. ax² + bx + c = 0
the discriminant is given by b² - 4ac
If the discriminant is 0, there is one real solution
If the discriminant is positive, there are two real solutions
If the discriminant is negative , there no real solutions
The given equation is:
x² - 8x = -14
Adding 14 to both sides
=> x² - 8x + 14 = 0
Comparing to the standard equation, we see
a = 1, b = -8, c = 14
Discriminant b² - 4ac = (-8)² - 4 x 1 x 14
= 64 - 56
= 10
Since discriminant is positive, there are two real solutions
G
Antranig has a glass that holds 9.75 fluid ounces. He drinks 3.5 glasses of water in one day. To the nearest hundredth of a fluid ounce, how much water does Antranig drink?
He drinks about ounces of water
(Do not round antil the final answer. Then round to the nearest hundredth as needed.)
HELP MAN
Answer:
34.13 ounces
Step-by-step explanation:
Total amount of water drunk=3.5*9.75=34.13
Olivia needs 54 licks for every 3 lollipops they eat.
Answer:
so what is the question ??
5(x-9)=55
What would you do to both ide firt?
A. Subtract 5
B. Divide by 5
C. Add 9
D. Subtract 55
Answer:
b
Step-by-step explanation:
we first make
1.Subtraction/Adding
2.Mutiply/Division
State what additional information is required in order to know that the triangles are congruent by the SSS Triangle Congruence Postulate
Answer:
E
Step-by-step explanation:
You already know that TS = AB and TU = BC because it shows that in the images using the tick marks. SSS Triangle Congruence Postulate is when two triangles are congruent to each other because all the corresponding side lengths are equal to each other. So we already have two side lengths that are equal to each other, and, in order for SSS to be true, we need all 3 side lengths to be equal to each other. The only two side lengths not equal to each other yet are US and CA so if those were to be equal to each other, all corresponding side lengths would be equal to each other.
Let me know if you have any questions.
Multiplying with Monomials 1) −7x^2(−3x^2 + xy + 5y^2)2) 3y(7x^2 − 2xy − 9y^2)
The equation are given as
\(\begin{gathered} -7x^2(-3x^2+xy+5y^2) \\ 3y(7x^2-2xy-9y^2) \end{gathered}\)Explanation1. The equation is given as
\(-7x^2(-3x^2+xy+5y^2)=21x^4-7x^3y-35x^2y^2\)AnswerThe answer is
\(21x^4-7x^3y-35x^2y^2\)2. The equation is given as
\(3y(7x^2-2xy-9y^2)=21yx^2-6xy^2-27y^3\)AnswerThe answer is
\(21yx^2-6xy^2-27y^3\)Express 3.23×10 ^6
in standard decimal notation.
The number 3.23×10^6, expressed in standard decimal notation, is 3,230,000. In scientific notation, a number is expressed as the product of a coefficient and a power of 10.
In this case, the coefficient is 3.23, and the power of 10 is 6. To convert this number into standard decimal notation, we need to multiply the coefficient by the corresponding power of 10. The power of 10, in this case, is 10^6, which means 10 raised to the power of 6. This is equivalent to 1 followed by six zeros: 1,000,000. To obtain the standard decimal notation, we multiply the coefficient, 3.23, by 1,000,000.
Calculating the multiplication, we have:
3.23 × 1,000,000 = 3,230,000.
Hence, the number 3.23×10^6, expressed in standard decimal notation, is 3,230,000. This means that the number is equal to 3.23 million.
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2. A phone company charges a base fee of $12 per month plus an additional charge per minute. The
monthly phone cost C can be represented by this equation: C = 12 +a.m, where a is the additional
charge per minute, and m is the number of minutes used.
Which equation can be used to find the # of minutes a customer used if we know and a and C?
A. m = (C-12)
B. m = (C - 12)-a
C. m = C - 12a
(C-12)
D. m =
a
E. m = 8-12
Given:
The monthly phone cost C can be represented by this equation:
\(C=12+a\cdot m\)
where, a is the additional charge per minute, and m is the number of minutes used.
To find:
The equation can be used to find the number of minutes a customer used if we know and a and C.
Solution:
We have,
\(C=12+a\cdot m\)
We need to isolate m on one side.
Subtract 12 from both sides.
\(C-12=a\cdot m\)
Divide both sides by a.
\(\dfrac{C-12}{a}=\dfrac{a\cdot m}{a}\)
\(\dfrac{C-12}{a}=m\)
\(m=\dfrac{C-12}{a}\)
The options are not in proper format.
Therefore, the required equation is \(m=\dfrac{C-12}{a}\).
HELP I NEED THIS FOR TODAY!! 100 points
Two water balloons were launched into the air at different moments and collided. The water balloons were modeled by the quadratic functions: y = −3x2 + 24x + 3 and y = −4x2 + 25x + 15, where y represents the height in meters and x represents the time in seconds after the launch. What is the time, in seconds, that the balloons collided at the highest point?
3.25 seconds
3.50 seconds
3.75 seconds
4.00 seconds
What are the solutions to the following system of equations?
x − y = 6
y = x2 −6
(0, −6) and (7, 1)
(0, −6) and (1, −5)
(0, −6) and (9, 3)
(0, −6) and (−9, 3)
Based on the graphs of the equations y = x + 7 and y = x2 – 3x + 7, the solutions are located at points:
(4, 11) and (0, 7)
(4, 11) and (–7, 0)
(–7, 0) and (1.5, 4.75)
(1.5, 4.75) and (0, 7)
Which system of equations is represented by the graph?
Graph of a quadratic function intersecting a linear function at point 2 comma 0.
y = x2 + 3x + 2
x + y = 2
y = x2 − 3x + 2
x − y = 2
y = x2 − 3x + 2
x − y = 3
y = x2 − 3x + 2
x + y = 3
The solutions of the given equations are given by equating the
variables to gives;
First part; 4.00 secondsSecond part; (0, -6) and (1, -5)Third part; (4, 11) and (0, 7)Fourth part: y = x² + 3·x + 2; x + y = 2How can the (common) solution be found?First part;
The given functions are;
y = -3·x² + 24·x + 3, and y = -4·x² + 25·x + 15
When the balloons collided, we have;
The height are equal, which gives;
y = y
-3·x² + 24·x + 3 = -4·x² + 25·x + 15
-3·x² + 24·x + 3 - (-4·x² + 25·x + 15) = x² - x - 12 = 0
Which gives;
x² - x - 12 = (x - 4) × (x + 3) = 0
x = 4, and x = -3
The time at which the balloon collide at the highest point is therefore;
At the time, x = 4.00 secondsSecond part;
The given system of equations are;
x - y = 6
y = x² - 6
y = x - 6
Which gives;
x - 6 = x² - 6
x = x²
Which gives;
x = 0 or x = 1
Similarly, we have;
x = y + 6
Which gives;
y = (y + 6)² - 6
y² + 11·y + 30 = 0
(y + 5)·(y + 6) = 0
Which gives;
y = -5, or y = -6
When y = -5, we have; x = -5 + 6 = 1
The solution are therefore;
(0, -6) and (1, -5)Third part;
The equations are; y = x + 7 and y = x² - 3·x + 7
At the solution, the u-values are equal, which gives;
y = y
x + 7 = x² - 3·x + 7
x² - 3·x + 7 - (x + 7) = 0
x² - 4·x = 0
x·(x - 4) = 0
x = 4, or x = 0
When x = 4, y = 4 + 7 = 11
When x = 0, y = 0 + 7 = 7
The solutions are located at points;
(4, 11) and (0, 7)Fourth part;
Given that the point of intersection of the line and the quadratic function
is the point (2, 0), we have;
On the linear function, when y = 0, x = 2
The possible linear function functions is therefore;
x + y = 2
From the quadratic function that accompanies the above linear function, we have;
y = x² + 3·x + 2
When x = 0, y = 0² + 3×0 + 2 = 2
Therefore;
The correct option is; y = x² + 3·x + 2, and x + y = 2Learn more about the solutions of equations here:
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I'm struggling please help
Answer:a
Step-by-step explanation:
Because if you input 5 into -3x as the x axis, that turns in -15, then afterwards, you would add the 5 to -15 which then adds up to -10.
what value of x will make x^(2)=64 true
Answer:
x=8
Step-by-step explanation:
x^(2)=64
Square root both sides of your equation to isolate your x.
x=\(\sqrt{64}\)
x=8
Hey there!
x^2 = 64
TAKE the SQUARE ROOT OF 64
√64 = 8 or -√64 = 8
Thus, your answer should be: x = 8 or x = -8
Good luck on your assignment & enjoy day!
~Amphitrite1040:)
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
A fashion photographer needs to hire a stylist to prepare his models. Jayla charges $156 for showing up, plus $63 per hour. Sally charges $158 plus $62 per hour. The photographer realizes that, given the expected duration of his photo shoot, either stylist would cost him the same amount. What would the cost be? What would the duration be?
Either stylist would cost $ if the shoot lasted. hours
The duration of shoot would be 2 hours and Either stylist would cost $282 if the shoot lasted 2 hours.
A fashion photographer needs to hire a stylist to prepare his models.
Let the number of hours stylist take = x
Jayla charges $156 for showing up, plus $63 per hour. So, this can be mathematically written as ,
156 + 63x equation 1
Sally charges $158 plus $62 per hour. So, this can be mathematically written as ,
158 + 62x equation 2
As per the question, the expected duration of his photo shoot, either stylist would cost him the same amount. So we can equate equation 1 and equation 2. On equating equation 1 and equation 2 , we will get
156 + 63x = 158 + 62x
⇒ x = 2
So, the duration would be 2 hours.
Jayla cost = Sally cost = 156 + 63x = 156 + (63 × 2) = 282
Either stylist would cost $282 if the shoot lasted 2 hours.
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PLEASE HELP ME OUT! QUICK POINTS FOR YOU!
All information needed can be found in the image below
Thank you in advance.
Answer:
3.14 units squared
Step-by-step explanation:
A = pi r^2
A = pi (1) ^2
A = pi = 3.14
(Radius = diameter / 2)
48/13 as a decimal rounded to the nearest tenth
Answer:
3.7
Round 5 up
Answer:
as decimal is approximately: 3.69231
Step-by-step explanation:
Solve the following equation.
-2(n+7)=15
Solve the inequality please - 3 (2- b) < 10- 3 (b- 6) Thank you so much
Step-by-step explanation:
-3(2 - b) < 10 - 3(b - 6)
-6 - 3b < 10 - 3b + 18
-6 < 28
Hence the inequality is true for any real values of b.
The solution to the inequality is:
b is less than 17/3.
Let's solve the inequality step by step:
-3(2 - b) < 10 - 3(b - 6)
First, simplify both sides of the inequality:
-6 + 3b < 10 - 3b + 18
Combine like terms:
3b - 6 < 28 - 3b
Next, add 3b to both sides:
6b - 6 < 28
Now, add 6 to both sides:
6b < 34
Finally, divide both sides by 6:
b < 34/6
Simplifying the right side:
b < 17/3
Therefore, the solution to the inequality is:
b is less than 17/3.
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SHOW WORK FOR BRAINLIST DUE TODAY
The graph of Stewart's assignment added as an attachment
How to draw the graph of the scenario?From the question, we have the following parameters that can be used in our computation:
Number of assignments = 36
Rate of assignment per day = 4
This means that the equation of the scenario is
Number of assignments remaining = Initial number of assignments - Rate of assignment per day * Number of days
Represent the number of assignments remaining with y and the number of days with x
So, we have the following representation
y = Initial number of assignments - Rate of assignment per day * x
Substitute the known values in the above equation, so, we have the following representation
y = 36 - 4 * x
Evaluate the products
y = 36 - 4x
So, the equation is y = 36 - 4x and the graph is added as an attachment
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Solve the system by elimination.
2x-5y=8
x-3y=-1
Answer:
hope this helps you dear
What is the term in mathematics for the operation or number that leaves others unchanged when combined with them? In multiplication, it is one, while in addition, it is zero?
The term is called an identity element. In multiplication, the identity element is one because any number multiplied by one results in the same number. In addition, the identity element is zero because any number added to zero results in the same number.
The term in mathematics for the operation or number that leaves others unchanged when combined with them is called the identity element.
It is also known by the name of neutral element.
In multiplication, the identity element is one (1) because when you multiply a number by one the result remains the same as the original number. For any number a,
a1=1a=a.
While in addition, the identity element is zero (0) because when you add zero to a number, the result remains the same as the original number. For any number a,
a+0=0+a=a.
There is no identity element for subtraction, and division only has an identity element for certain sets.
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4. Choose the item that does NOT have a measurable volume.
A dollar bill does NOT have a measurable volume. The Option A
Which item does NOT have a measurable volume?A volume is the amount of space that an object occupies and it can be measured in units such as liters, gallons or cubic meters. Air, a box of crackers and a water bottle all have a measurable volume because they take up space.
But dollar bill is a two-dimensional object and does not have any measurable volume. It only has length and width but no thickness. Therefore, it cannot be measured in terms of volume.
Missing options:
a dollar bill
air
a box of crackers
a water bottle
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Please help me solve this problem... I will mark you brainliest
Answer:
(8,1)
Step-by-step explanation:
x+y=5
3x-y=7
solve this equation
True or False?
The graphs of x√ and 3x√ have the same x and y intercepts.
True
True
False
Answer:
without a value under the square root there are no I tercepts because you can't graph xsqrt
Solve the equation: 3(x + 2) = 40.2 *
please help
Answer: x=11.4
Step-by-step explanation: 3(x+2)=40.2
(3)(x)+(3)(2)=40.2
3x+6=40.2
3x+6−6=40.2−6
3x=34.2
3x /3 = 34.2 /3
x=11.4
Two flagpoles, one 40 feet tall and one 60 feet tall, are mounted perpendicular to a horizontal concrete slab as shown. Approximately, how far apart are the tops of the two flag poles? Round your answer to the nearest whole number.
Tops of the two flag poles are 22 feet apart
Given that Two flagpoles, one 40 feet tall and one 60 feet tall, are mounted perpendicular to a horizontal concrete slab as shown
We have to find how apart are the tops of the two flag poles
By pythagoras theorem we find the distance from top of the flags
20²+10²=x²
400+100=x²
500=x²
x=22.36
Hence, tops of the two flag poles are 22 feet apart
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