Answer:
$172.80
Step-by-step explanation:
200*20%=40
200-40=160
160*0.08=12.8
12.8+160=172.80
Answer:
He pays $176
Step-by-step explanation:
First, to find 80% of 200, we can simply multiply 200 by .8.
200 x .8=160
Then, we add sales tax to that number. To find 8% of 200, multiply 200 by .08.
200 x .08=16
Then, add 16 to 160.
160+16= 176
Your answer is $176.
Hope this helps!
A sale at a furniture store advertised that all furniture was being sold at 40% off the
original selling price.
a) Write a function that gives the sale price as a function of original selling price.
b) Find the inverse of this function.
c) What does the inverse represents?
The sale price as a function of the original selling price can be represented by the equation: Sale price = Original selling price - (40% of Original selling price). The inverse function represents the original selling price when the sale price is given. It allows us to find the price at which the furniture was originally sold before the discount was applied.
Explanation:a) The sale price as a function of the original selling price can be represented by the equation:
Sale price = Original selling price - (40% of Original selling price)
For example, if the original selling price is $100, the sale price would be:
Sale price = $100 - (40% of $100) = $100 - $40 = $60.
b) To find the inverse of this function, we can swap the dependent and independent variables. Let's call the original selling price 'x' and the sale price 'y'. So, the inverse function is given by:
Original selling price = Sale price + (40% of Sale price)
c) The inverse function represents the original selling price when the sale price is given. It allows us to find the price at which the furniture was originally sold before the discount was applied.
Use mental math to solve.find the product and tell which strategy you used 8 *= 194
Answer:
24.25
Step-by-step explanation:
8*x=194
8/8 crosses out and 194/8=24.25
with means x=24.25
Evaluate. Round your answer to the nearest hundredth (precalculus)
Answer:
-1.83
Step-by-step explanation:
To find sum of geometric series we use formula
[tex]S_n = \frac{a(1-r^n)}{1-r}[/tex]
In the question , given i=1 so a= 11* -1/5 = -11/5
Here a= 11
r= -1/5, n=10
Plug in the values in the formula
[tex]S_10 = \frac{-11}{5}*\frac{(1-(\frac{-1}{5})^{10}}{1-(\frac{-1}{5})}[/tex]
S_10 = -1.83
The correct option is c.
To evaluate ∑(i=1 to 10) 11(-1/5)^i, we substitute each value of i into the formula and sum the results. Rounding the answer to the nearest hundredth gives -0.01.
Explanation:To evaluate the given expression, we need to substitute each value of i from 1 to 10 into the formula 11(-1/5)^i and then sum up the results:
i = 1: 11(-1/5)^1 = -11/5i = 2: 11(-1/5)^2 = 11/25i = 3: 11(-1/5)^3 = -11/125i = 4: 11(-1/5)^4 = 11/625i = 5: 11(-1/5)^5 = -11/3125i = 6: 11(-1/5)^6 = 11/15625i = 7: 11(-1/5)^7 = -11/78125i = 8: 11(-1/5)^8 = 11/390625i = 9: 11(-1/5)^9 = -11/1953125i = 10: 11(-1/5)^10 = 11/9765625Summing up all these values, we get:
-11/5 + 11/25 - 11/125 + 11/625 - 11/3125 + 11/15625 - 11/78125 + 11/390625 - 11/1953125 + 11/9765625 ≈ -0.00001
Therefore, the rounded answer to the nearest hundredth is C. -0.01.
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The complete question is here:
Evaluate \sum_{i=1}^{10} 11\left(-\frac{1}{5}\right)^i. Round your answer to the nearest hundredth.
A. 13.75
B. 9.17
C. -0.01
D. -1.83
The wall in the family room is exactly 12 feet long. Your couch is 10 feet and 6 inches long. Once the couch is placed, how much room is left for your end table?
Answer:
1 foot 6 inches
Step-by-step explanation:
That would be the difference between 12 feet and 10 feet 6 inches.
Answer:
the answer is 18 inches (:
Step-by-step explanation:
Please help me, ASAP! Algebraic equation needed.
A candy mixture is made from 6 pounds of sugar sticks of $10 per pound and 14 pounds of jelly beans of $8 per pound. Find the price of the candy mixture per pound.
Final answer:
The price of the candy mixture per pound is $8.60.
Explanation:
To find the price of the candy mixture per pound, we need to calculate the total cost of the sugar sticks and jelly beans, and then divide it by the total weight of the candy mixture.
Let's start by calculating the total cost of the sugar sticks. The cost per pound of sugar sticks is $10, and we have 6 pounds of sugar sticks, so the total cost of the sugar sticks is 6 x $10 = $60.
Next, let's calculate the total cost of the jelly beans. The cost per pound of jelly beans is $8, and we have 14 pounds of jelly beans, so the total cost of the jelly beans is 14 x $8 = $112.
Now, let's calculate the total weight of the candy mixture. We have 6 pounds of sugar sticks and 14 pounds of jelly beans, so the total weight of the candy mixture is 6 + 14 = 20 pounds.
Finally, let's calculate the price of the candy mixture per pound. We divide the total cost of the candy mixture by the total weight of the candy mixture: ($60 + $112) / 20 = $172 / 20 = $8.60.
Therefore, the price of the candy mixture per pound is $8.60.
what are the solutions if the equation x^2+4x+4=25
[tex]\text{Use}\ (a+b)^2=a^2+2ab+b^2\\\\x^2+4x+4=25\\\\x^2+2(2)(x)+2^2=25\\\\(x+2)^2=25\iff x+2=\pm\sqrt{25}\\\\x+2=-5\ \vee\ x+2=5\qquad\text{subtract 2 from both sides}\\\\\boxed{x=-7\ \vee\ x=3}[/tex]
Other method:
[tex]x^2+4x+4=25\qquad\text{subtracr 25 from both sides}\\\\x^2+4x-21=0\\\\x^2+7x-3x-21=0\\\\x(x+7)-3(x+7)=0\\\\(x+7)(x-3)=0\iff x+7=0\ \vee\ x-3=0\\\\x+7=0\qquad\text{subtract 7 from both sides}\\\boxed{x=-7}\\\\x-3=0\qquad\text{add 3 to both sides}\\\boxed{x=3}[/tex]
what is the measure of a base angle of an isosceles triangle if its vertex angle measure 80
Knowing base angles theorem, we know that if the triangle is isosceles, then the bottom base angles and congruent. That means that, we must subtract 80 from 180 and then divide the number by 2, since we must find 1 base angle. This brings us to the answer, 50 degrees.
Hope this helps! <3
The circumference of a circle is 62.8mi. what is the diameter?
Answer:
The diameter is 20 mi
Step-by-step explanation:
The circumference of a circle is given by
C = pi*d
We can substitute C=62.8 mi
62.8 = pi* d
Divide each side by pi
62.8/pi = d
Using 3.14 for pi
d = 20 mi
To paint a sunset Tran and makes a shade of orange paint using five drops of red paint for every eight drops of yellow paint if tranny uses 15 drops of red paint how many drops of yellow paint would you need
Answer:
24 drops of yellow paint
Step-by-step explanation:
We have a ratio of red paint to yellow paint
red:yellow
5: 8
We need red to be 15 drops, so we multiply by 3
What we do to one side we do to the other
red:yellow
5*3 8*3
15 : 24
We need 24 drops of yellow paint
Juan earns a weekly salary of $310 plus a 5.5% Commission on sales at a local hardware store. How much would he earn in a week if he sold $5,100 worth of merchandise?
Answer:
$590.50
Step-by-step explanation:
Juan earns $310 every week.
He earns 5.5% on merchandise sold.
On a week he sells $5100, we need to figure 5.5% of that amount and then add $310.
$5100
X .055
______
$280.50 commission.
+ 310.00 salary for the week
_______
$590.50
answer please as best as u can it will help a lot
thanks
Look at the picture.
The triangles ABC and DEC are similar. Therefore the sides are in proportion:
[tex]\dfrac{AC}{DC}=\dfrac{AB}{DE}[/tex]
AC = 4cm + 16cm = 20cm
DC = 16cm
AB = 15cm
DE = r
Substitute:
[tex]\dfrac{20}{16}=\dfrac{15}{r}\to\dfrac{5}{4}=\dfrac{15}{r}[/tex] cross multiply
[tex]5r=(4)(15)[/tex]
[tex]5r=60[/tex] divide both sides by 5
[tex]r=12\ cm[/tex]
The volume of a larger cone:
[tex]V_l=\dfrac{1}{3}\pi\cdot15^2\cdot20=\dfrac{1}{\not3_1}\pi\cdot15\!\!\!\!\diagup^5\cdot15\cdot20=1500\pi\ cm^3[/tex]
The volume of a smaller cone:
[tex]V_s=\dfrac{1}{3}\pi\cdot12^2\cdot16=\dfrac{1}{\not3_1}\pi\cdot12\!\!\!\!\!\diagup^4\cdot12\cdot16=768\pi\ cm^3[/tex]
The volume of the frustum:
[tex]V=V_l-V_s\to V=1500\pi-768\pi732\pi\ cm^3[/tex]
Answer: 732π cm³.Consider the function fx=3x-1/x+4.
(A) At which value of x will the function not have a solution? Explain your answer.
(B) If g(x) is a vertical shift up 4 units from f(x), write the function g(x). How does the graph of g(x) compare to the graph of f(x)? Explain the function you wrote.
(C) What is the value of x when g(x)=8? Show your work.
Answer:
(A)
[tex]x=-4[/tex]
(B)
[tex]g(x)=\frac{3x-1}{x+4}+4[/tex]
(C)
[tex]x=-17[/tex]
Step-by-step explanation:
we are given
[tex]f(x)=\frac{3x-1}{x+4}[/tex]
(a)
we know that
any function is undefined when denominator =0
so, we can set denominator =0
and then we can solve for x
[tex]x+4=0[/tex]
[tex]x=-4[/tex]
So, it does not have solution at [tex]x=-4[/tex]
(b)
If g(x) is a vertical shift up 4 units from f(x)
Whenever we shift vertically upward by 'a' units , we always add 'a' to y-value
so, we get
g(x)=f(x)+4
we get
[tex]g(x)=\frac{3x-1}{x+4}+4[/tex]
Graph:
(C)
we can set g(x)=8
and then we can solve for x
[tex]8=\frac{3x-1}{x+4}+4[/tex]
[tex]8\left(x+4\right)=3x-1+4\left(x+4\right)[/tex]
[tex]8x+32=7x+15[/tex]
[tex]x=-17[/tex]
17. Jing has some square tiles He joins the tiles to make a rectangle. There are stiles a re tiles. He joins the tiles to make a rectangle. There are 8 tiles along the length of the rectangle and 9 tiles along the width of the rectangle. What is the total number of tiles that Jing uses to make the rectangle?
Answer:
72 Tiles.
Step-by-step explanation:
Multiply 8 by 9.
8*9=72
Good luck please mark me brainliest
The question is about calculating the area of a rectangle made by square tiles. Jing used a total of 72 tiles by arranging them 8 tiles in length and 9 tiles in width.
Explanation:This is a problem of area calculation in Mathematics. Jing has to create a rectangle using his square tiles. When it is mentioned that there are 8 tiles along the length and 9 tiles along the width of the rectangle, that means Jing is setting tiles 8 in a row (length) and 9 in a column (width).
The total number of tiles used can be calculated by multiplying the length by the width. This calculation is based on the formula for the area of a rectangle, which is length x width.
So, Jing used 8 tiles (length) x 9 (width) = 72 tiles in total to build the rectangle.
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How do you solve this? r^2+32=12r
Answer:
r = {-8, -4}
Step-by-step explanation:
Simplifying
r2 = -32 + -12r
Solving
r2 = -32 + -12r
Solving for variable 'r'.
Reorder the terms:
32 + 12r + r2 = -32 + -12r + 32 + 12r
Reorder the terms:
32 + 12r + r2 = -32 + 32 + -12r + 12r
Combine like terms: -32 + 32 = 0
32 + 12r + r2 = 0 + -12r + 12r
32 + 12r + r2 = -12r + 12r
Combine like terms: -12r + 12r = 0
32 + 12r + r2 = 0
Factor a trinomial.
(8 + r)(4 + r) = 0
Subproblem 1
Set the factor '(8 + r)' equal to zero and attempt to solve:
Simplifying
8 + r = 0
Solving
8 + r = 0
Move all terms containing r to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + r = 0 + -8
Combine like terms: 8 + -8 = 0
0 + r = 0 + -8
r = 0 + -8
Combine like terms: 0 + -8 = -8
r = -8
Simplifying
r = -8
Subproblem 2
Set the factor '(4 + r)' equal to zero and attempt to solve:
Simplifying
4 + r = 0
Solving
4 + r = 0
Move all terms containing r to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + r = 0 + -4
Combine like terms: 4 + -4 = 0
0 + r = 0 + -4
r = 0 + -4
Combine like terms: 0 + -4 = -4
r = -4
Simplifying
r = -4
Solution
r = {-8, -4}
HELPPP PLZ Write a real-world problem you could answer by solving the equation -8 x + 60= 28
Answer:
Step-by-step explanation:
How many times must you step back 8 inches after stepping forward 60 inches to end 28 inches from your starting point?
x = number of items that cost $8 per piece
if you buy x of these items for 8 dollars each, then 8*x represents how much you've spent so far. If you start off with $60, then 60-8x = -8x+60 is the total amount of money leftover in your pocket.
If you start off with $60 and end up with $28, then -8x+60 = 28 is the equation that models this. Solving for x leads to finding out how many of these items you have purchased. In this case, the solution is x = 5.
Daniel wants to buy a tv that’s cost 732.98 If the sales tax is 732.98 If the sales tax is 75% how much does he spend all together total cost
Answer:
Step-by-step explanation:My answer I would say is 1,282.735.I got that by multiplying 732.98 by .75 since the sales tax is 75% of 732.98 which is 549.735.Then you just add those 2 together.Hope this helps!!! Please mark brainliest!!!!
need help turning this improper fraction into mixed number, it's super easy.
Answer:
2 3/4
Step-by-step explanation:
22/8 = 2 6/8 = 2 3/4
Hope that helps and feel free to ask me more questions :)Brainliest??
I NEED HELP PLEASE I AM BEGGING YOU PLEASE HELP ME !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A factory that manufactures basketballs spends $6 on each basketball that it produces.
Which of the following describes the rate of cost growth at the factory?
A.
both linear and nonlinear
B.
nonlinear
C.
neither linear nor nonlinear
D.
linear
Answer:
D.) Linear
Step-by-step explanation:
There are no exponents
also I had the same question
The rate of cost growth can be seen as the cost of adding 1 unit of basketball to the output. This cost as we know is $6, given for each basketball produced. Since this is constant, the rate of cost growth is seen as linear. Hence option D is the right choice.
What does linear growth mean?A quantity grows linearly if it increases by the same amount per unit of time.
What does non-linear growth mean?A quantity grows non-linearly if the increase in the amount is not the same per unit of time.
How to solve the question?In the question, we are informed that a factory that manufactures basketballs spends $6 on each basketball that it produces.
We are asked to describe the rate of cost growth at the factory.
The rate of cost growth can be seen as the cost of adding 1 unit of basketball to the output. This cost as we know is $6, given for each basketball produced. Since this is constant, the rate of cost growth is seen as linear. Hence option D is the right choice.
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a spinner with 8 equally sized slices is shown below. The daily is spun and stops on a slice at random. what are the odds in favor of landing on a grey slice?
Answer:
Logically it would be 1/8 chance but since I don't know what color the all are, It's hard to tell
Step-by-step explanation:
Help me please it due today.
What is sin 60 degree
Okay, notice one thing right off the bat? 60 degrees on a right triangle (unit circle w/ terminal arm) will create the infamous 30-60-90 triangle.
We can use this to our advantage. Since sin is the y-coordinate on the unit circle. We need to solve for the longest side of a 30-60-90 triangle.
We find that the long side (y) of our 30-60-90 triangle is sqrt(3)/2. Since this is in quadrant 1, we know it is positive.
So -- sin60° = sqrt(3)/2
The value of the sine of the angle 60 degrees will be √(3) / 2.
A right triangle's ratio of the hypotenuse's length to the length of the side opposite an angle is represented by the sine function, a trigonometric function. We can calculate the sine function for a generally understood angle of 60 degrees.
Consider an equilateral triangle with all sides equal for a 60-degree angle. The triangle's side across from the 60-degree angle is equal in length to the other sides.
The ratio of the length of the side opposite the 60-degree angle to the length of the hypotenuse is √(3 / 4) because an equilateral triangle has all angles measuring 60 degrees.
Sin 60 degrees hence equals 1/2.
The sine of 60 degrees is, therefore, √(3 / 4) or √(3) / 2.
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Julie designs gardens for a living. For a year she kept track of the amount of time she spent designing the garden and whether or not the customer returned. She recorded the time and probability that a customer returned.
To have the greatest probability of a returning customer, what amount of time should Julie spend per customer?
TIME DESIGNING PROBABILITY OF RETURN
1-2 Hours 5/8
2-3 Hours 5/9
3-4 Hours 7/8
4-5 Hours 3/4
5-6 Hours 1/2
6-7 Hours 3/7
7-8 Hours 2/9
A. 1-2 Hours
B. 2-3 Hours
C. 3-4 Hours
D. 4-5 Hours
Answer:
To have the greatest probability of a returning customer, Julie should 3-4 Hours per customer
Step-by-step explanation:
==> To compare the Time Designing Probability of Return, we need to convert the Probabilities into Percentage form by multiplying them with 100.
1-2 Hour = (5÷8) × 100 = 62.5%
2-3 Hours = (5÷9) × 100 = 55.55%
3-4 Hours = (7÷8) × 100 = 87.5%
4-5 Hours = (3÷4) × 100 = 75%
5-6 Hours = (1÷2) × 100 = 50%
6-7 Hours = (3÷7) × 100 = 42.85%
7-8 Hours = (2÷9) × 100 = 22.22%
To have the greatest probability of a returning customer, Julie should 3-4 Hours per customer
Answer:C)3-4 hours
Step-by-step explanation:
find the value of x. A. 23° B. 67° C. 38° D. 33°
Answer:
C
Step-by-step explanation:
67 plus 38 equals 105. the opposite interior equals the outside.
HELP NOW Which table shows a proportional relationship between x and y? x 1 2 3 6 y 1.5 3 6 9 x 1 3 4 5 y 50 150 200 250 x 3 5 7 8 y 1.5 2.5 3 4.5 x 2 4 5 6 y 6 12 18 21
Answer: B - x 1 3 4 5 y 50 150 200 250
Step-by-step explanation: The equation is y = 50x
Answer:
b
Step-by-step explanation:
plz mark brainlyest
Which values of s are solutions to the inequality?
s>−10
Select each correct answer.
s=−2
s=−8
s=−18
s=−108
s=−180
Answer:
the answers are s = -2 and s = -8
Step-by-step explanation:
Which coordinate pair is the best estimate of the point of intersection in this graph?
A. (1.5, 0.75)
B. (1.75, 0.5)
C. (0.75, 1.5)
D. (1.5, 1.75)
Answer:
A
Step-by-step explanation:
The intersection is made when the red and blue line meet. If you make a mark down that looks like 1.5 and if you go up to your y axis the coordinate is 3/4 around the one since it is not over the one.
A. (1.5, 0.75) coordinate pair is the best estimate of the point of intersection in this graph.
What is an ordered pair?An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.
Pair in Order = (x, y)
x is the abscissa, the distance measure of a point from the primary axis x
y is the ordinate, the distance measure of a point from the secondary axis y
By observing the graph the intersection of the two lines is (1.5, 0.75).
As, It lies somewhat in the middle of x = 1 and x = 2, And for y it is more than 0.5 but less than 1 so it must be (1.5, 0.75).
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How to do this question
Answer:
10 tacos costs $15.00
Step-by-step explanation:
I like to use ratio's to solve this type of problem. I will put cost over number of tacos.
$6.00 x dollars
-------- = --------------
4 tacos 10 tacos
Using cross products
6 * 10 = 4 * x
60 = 4x
Divide each side by 4
60/4 = 4x/4
15 =x
10 tacos costs $15.00
Answer:
B) $15.00
Step-by-step explanation:
well if 4 taco = $6 just divid to see how mutch one taco is
6.00 divided by 4 = $1.50
now just times 1.50 by 10 to get $15
hope this helped
20 PTS!
Which situation is best modeled with a division expression?
finding the number of equal-sized parts into which a number can be split
finding the combined value of several different number
finding the distance between two numbers on a number line
finding the total value when several of the same number are grouped together
Answer:
finding the number of equal-sized parts into which a number can be split
Step-by-step explanation:
Let us split the number 80 into 10 equal parts.
80 = 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8
= 8 + 8 + 8 +...to 10 times
= 8(10)
or [tex]\frac{80}{10} =8[/tex]
So, if N is any number and p is one of its equal part, then the number of parts into which N is split by p is [tex]\frac{N}{p}[/tex].
Hence, finding the number of equal-sized parts is best modeled with a division expression.
Answer:
Finding the number of equal-sized parts into which a number can be split
Step-by-step explanation:
The correct answer is - finding the number of equal-sized parts into which a number can be split.
Division is defined as the action of splitting something in equal parts.
So, here the first option states this definition.
Taking an example of: Lets divide 100 in 5 equal parts. So, this becomes
[tex]\frac{100}{5}=20[/tex]
This can be also written like : [tex]20+20+20+20+20=100[/tex]
So, division is where you split something equally.
Aidan bought 4 slices of pizza and a soda for a total of $7. If a soda costs $1, how much does a slice of pizza cost?
Subtract the cost of the soda from the total price to find how much all the pizza cost. Then divide the total cost of the pizza by the number of slices bought:
7 -1 = 6
Total cost of pizza was $6
6 / 4 = 1.50
Cost for one slice of pizza $1.50
PLEASE HELP WITH THESE 4 questions I DONT GET IT ASAP thank you in advance
Answer:
2. 31/6 3. -12/1 4. integer 5. rational number
Step-by-step explanation:
2. You multiply the 5 by 6/6, so it becomes 30/6, then add the 1/6. getting you the 31/6.
3. Since -12 is already an integer with no mixed part, you just put it over 1.
4. -12 is an integer, but is not a whole number because it is negative.
5. fractions are rational numbers
Answer: 4. is not a rational nmber. You can't multiply a number that will give you 12. 12 has a integer by it, so that means -12 is a integer. 5. is a rational number.
Step-by-step explanation: