Answer:
$18
Step-by-step explanation:
since she saved 20% you turn the percentage into a decimal which is .20 then multiply it by 15 because that's how much she saved and you get $3 which you add to $15 and you get the regular price which is $18
Assume that 0
a. 16/63
b. -16/63
c. 63/16
d. -63/16
please help
Solve by elimination 4x-8y=8 -5x-y=-21
what’s the surface area of 5 inches and 7 inches
Answer:
Is the surface a rectangle?? If so, then the surface area would be 35
Step-by-step explanation:
5 * 7 = 35
Hope this helped!! :)
Answer:
35 inches
Step-by-step explanation:
In order to answer the question correctly, please use the following image below:
Find the value of x.
X=(Blank)
Please show all the work on how you got your answer.
Answer:
70°
Step-by-step explanation:
Minor angle at the centre:
360 - 250 = 110
Two tangents make an angle of 90° each
90 + 90 + 110 + x = 360
x = 360 - 290
x = 70°
A picture frame is 9 inches long and 6 inches wide it can display pictures 6 inches long and 4 inches wide what is the area of the picture frame
Answer:
54
Step-by-step explanation:
multiply 9 x 6 to get the answer above
The area of the picture frame, after subtracting the area of the displayed picture, is 30 square inches.
To find the area of the picture frame, we need to subtract the area of the picture it displays from the area of the entire frame.
The area of the entire frame can be calculated by multiplying its length by its width:
[tex]\[ \text{Area of frame} = \text{Length} \times \text{Width} \][/tex]
Given that the frame is 9 inches long and 6 inches wide:
[tex]\[ \text{Area of frame} = 9 \times 6 = 54 \text{ square inches} \][/tex]
Now, we need to subtract the area of the picture it displays. Since the picture is 6 inches long and 4 inches wide:
[tex]\[ \text{Area of picture} = \text{Length} \times \text{Width} = 6 \times 4 = 24 \text{ square inches} \][/tex]
So, the area of the picture frame is:
[tex]\[ \text{Area of frame} - \text{Area of picture} = 54 - 24 = 30 \text{ square inches} \][/tex]
Therefore, the area of the picture frame is 30 square inches.
Elasticity of Demand The demand function for a certain brand of backpacks is
P=50 ln(50/x)
where P is the unit price in dollars and X is the quantity (in hundreds) demanded per month.
1) Find the elasticity of demand, and determine the range of prices corresponding to inelastic, unitary, and elastic demand.
2) If the unit price is increased slightly from $50, will the revenue increase or decrease?
Answer:
See explanation
Step-by-step explanation:
Solution:-
- The demand function of a certain brand is given as price P a function of x quantity of goods ( in hundred ) demanded per month. The relation is:
P ( x ) = 50 Ln ( 50 / x ).
- The point price elasticity ( E ) of demand is given by:
[tex]E = \frac{P}{x}*\frac{dP}{dx}[/tex]
- Where, dP / dx : is the rate of change of price ( P ) with each hundred unit of good ( x ) is demanded.
- To determine the " dP / dx " by taking the first derivative of the given relation:
P ( x ) = 50 Ln ( 50 / x ).
d P ( x ) / dx = [ 50*x / 50 ] * [ -1*50 / x^2 ]
= - 50 / x
- Hence the point price elasticity of demand is given by:
E = - ( P / x ) * ( 50 / x )
E = -50*P / x^2
- For an inelastic demand, ! E ! is < 1:
! -50*P / x^2 ! < 1
50*P / x^2 < 1
P < x^2 / 50
- For an unitary demand, ! E ! is = 1:
! -50*P / x^2 ! = 1
50*P / x^2 = 1
P = x^2 / 50
- For an inelastic demand, ! E ! is > 1:
! -50*P / x^2 ! > 1
50*P / x^2 > 1
P > x^2 / 50
2)
If the unit price is increased slightly from $50, will the revenue increase or decrease?
- We see from the calculated demand sensitivity d P / dt:
d P ( x ) / dx = - 50 / x
- We see that as P increases the from P = $50, the quantity of goods demanded would be:
50 = 50 ln(50/x)
1 = Ln ( 50 / x )
50/x = e
x = 50 / e
Then,
d P ( x ) / dx = - 50 / ( 50 / e )
d P ( x ) / dx = - e
- We see that if price slightly increases from $ 50 then the quantity demanded would decrease by e (hundreds ) goods.
- The decrease in the quantity demanded is higher than the increase in price. The revenue is given by the product of price P ( x ) and x:
Revenue R ( x ) = P ( x ) * x
= 50*x*ln(50/x)
Then the product of price and quantity goods also decreases; hence, revenue decreases.
PLZ HELP ME ASAP What would coordinate d be
Answer:
Coordinate D would be (1,3)
Step-by-step explanation:
The difference between B and C is 2 up and 3 right, so that means the difference between A and D would be the same
D = -2+3, 1+2
D = 1, 3
Which expression represents the approximate area of the circle in square inches?a.9.42 times 3 b.9.42 times 3 squared c.9.42 times 6 d.9.42 times 6 squared
Answer: The answer is B
Step-by-step explanation:
Answer:
A. 9.42
Step-by-step explanation:
For the school fair, 3 English teachers, 8 math teachers, 5 science teachers, and 4 social studies teachers volunteered for the dunking booth. One of the teachers will be chosen at random for the dunking booth. Is it likely that a math teacher will be chosen for the dunking booth? Explain your answer.
Answer:
The likelihood that a math teacher is selected is 2 out of 5 possible cases or 40% chance.
Step-by-step explanation:
Please kindly check the attached files for explanation
Final answer:
It is likely that a math teacher will be chosen for the dunking booth since the probability is 8 out of 20 or 40%, which is close to a 50% chance.
Explanation:
To determine if it is likely that a math teacher will be chosen for the dunking booth, we need to look at the probability of selecting a math teacher from the total group of teachers. The total number of teachers is the sum of the English, math, science, and social studies teachers, which is 3 + 8 + 5 + 4 = 20. Since there are 8 math teachers, the probability of selecting a math teacher is 8 out of 20, or 40%.
This probability can be further simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 4, giving us 2 out of 5, or 40%. This indicates that there is a likelihood of 2 in 5 that a math teacher will be chosen, which can be considered likely since it is close to a 50% chance.
A pumpkin is thrown horizontally off of a building at a speed of 2.5\,\dfrac{\text m}{\text s}2.5 s m 2, point, 5, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction and travels a horizontal distance of 12\,\text m12m12, start text, m, end text before hitting the ground. We can ignore air resistance.
Answer:
-47.0
Step-by-step explanation:
The question pertains to Physics, specifically kinematics. The pumpkin's horizontal velocity and distance traveled are given, but without vertical distance, we can't compute the time of flight or height of the building. More information is needed.
Explanation:The subject of your question is Physics, specifically kinematics, which is the study of motion. Given that the pumpkin was thrown horizontally with a velocity of 2.5 m/s and it landed a horizontal distance of 12m from the base of the building, we could find the height of the building or the time the pumpkin was in the air.
The time it takes the pumpkin to hit the ground depends solely on the vertical motion. So we must find the time it takes for an object to fall from the height of the building. This time of flight can be calculated by using a kinematic formula: 2gh = v², where g is the gravitational acceleration (9.8 m/s² on Earth).
However, as the vertical distance travelled by the pumpkin isn't provided in this problem, we can't calculate the time using the given data. More information is needed to solve this problem appropriately.
Learn more about Kinematics here:https://brainly.com/question/7590442
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6 11 of students at a school are girls. If there are 4741 students at the school, how many are boys?
Answer:
2155 or 5/11
Step-by-step explanation:
(5/11)4741=5×431=2155 boys
PLS HELP Use elimination to solve each system of equations.
6x + 5y = 4]
6x - 7y = -20
Answer:
x = -1
y = 2
Step-by-step explanation:
6x + 5y = 4
6x - 7y = -20
__________ -
____12y = 24
______y = 24/12
______y = 2
6x + 5y = 4
6x + 5(2) = 4
6x + 10 = 4
6x = 4 - 10
6x = -6
x = -6/6
x = -1
Make as the brainliest answer
Answer:
x = -1
y = 2
Step-by-step explanation:
6x + 5y = 4
6x - 7y = -20
____________--
12y = 24
y = 24/12
y = 2
6x + 5y = 4 | ×7 |
6x - 7y = -20 | ×5 |
42x + 35y = 28
30x - 35y = -100
______________+
72x = -72
x = -72/72
x = -1
A four side sandbox has exactly two right angles, two side leghts 5 ft, and two side leghts 6 ft. What geometric shape best describes the shape of the sandbox?
Answer:
Square
Step-by-step explanation:
If its 4 sided and two measures are 90 degrees then that means the other two must be 90 degrees. That means its a square or a rectangle. Now since the 4 sides arent all the same and two sides being 6 and two sides being 5, you can rule out it being a square.
A number cube is rolled. What is the probability that the cube lands on an odd number.
Answer:
1/3 or 3/6 they are the same thing
Step-by-step explanation:
Answer:
The probability of rolling an odd number is 5/6
Step-by-step explanation:
probability: desired/all
Let's find the possible outcomes of rolling odd.
1,3,5 are all odd. We have 3 outcomes.
Now find the possible outcome of a power of 2.
2 is
2
1
, 4 is
2
2
. We have 2 DIFFERENT outcomes.
(If these outcomes overlapped, we would have to subtract to get unique outcomes. In this case, these outcomes are different)
Now, we find the total number of possible outcomes.
A dice has 6 different outcomes.
Now add up the desired outcomes,
3 + 2 = 5
and so the probability is
5/6
Solve the equation below. W
5x - 18 = 2(3x - 12) + 4
Step by step please
Answer:
x=2
Step-by-step explanation:
To solve, we need to isolate the variable, x
5x-18=2(3x-12) +4
Distribute the 2
5x-18=2*3x + 2*-12 +4
5x-18=6x-24+4
Combine like terms (add -24 and 4)
5x-18=6x-20
Add 18 to both sides
5x=6x-2
Subtract 6x from both sides
-x=-2
Divide both sides by -1
x=2
Answer: [tex]x=2[/tex]
Step-by-step explanation:
1. Get rid of the parenthesis. You can do this by multiplying.
[tex]5x-18=2(3x-12)+4[/tex]
[tex]5x-18=6x-24+4[/tex]
2. Move the variables to the left and the numbers to the right. If one of the numbers is not on its side (left or right) and you need to move it, change the sign.
[tex]5x-6x=-24+4+18[/tex]
Solve: Since the result is -1 and we have a variable, we can omit it.
[tex]-x=-24+22[/tex]
[tex]-x=-2[/tex]
Divide both sides by -1 to isolate the x
[tex]\frac{-(1)x}{-1} =\frac{-2}{-1}[/tex]
Solve:
[tex]x=2[/tex]
3. Proof: Replace the result in the original equation and both sides should be equal. (this step is for you to make sure that your answer is correct.
[tex]5x-18=2(3x-12)+4[/tex]
[tex]5(2)-18=2[3(2)-12]+4[/tex]
[tex]10-18=2(6-12)+4[/tex]
[tex]-8=2(-6)+4[/tex]
[tex]-8=-12+4[/tex]
[tex]-8=-8[/tex]
As you can see, both sides are equal to each other; which proves that [tex]x=2[/tex] is correct.
Sela's piano lesson starts at 4:45pm. The lesson is 30 minutes long. When does her lesson end
Answer:
5:15
Step-by-step explanation:
Split the 30 mins in half. 45+15 = 60 (a new hour) Now, its 5:00. Add 15 and you get the answer.
Answer:
Step-by-step explanatio
-2y-8+4y−2y−8+4y
A)−2(y+4)+4y
B)4(−2+y)−2y
C)none above
Answer:
( C ) "none above"
Step-by-step explanation:
first you start by combining like terms
-2y-8+4y-2y-8+4y
-8+2y-2y-8+4y
-16+4y or 4y-16 would be the max simplification!
hope that helps
A bag contains 3 red marbles, 7 white marbles, and 5 blue marbles. You draw 3 marbles, replacing each one before drawing the next. What is the probability of drawing a red, then a blue, and then a white marble?
3 + 7 + 5 = 15 total marbles.
3 red, picking a red would be 3/15, reduced to 1/5
5 blue, picking a blue would be 5/15, reduced to 1/3
7 white, picking a white would be 7/15
Picking all 3 would be: 1/5 x 1/3 x 7/15 = 7/225
Answer:
7/225
Step-by-step explanation:
To find probability, we take the number of ways the specific event can occur and divide it by the number of ways any event can occur.
The probability of drawing a red marble is: (# of red marbles) / (total # of marbles) = 3/(3 + 7 + 5) = 3/15 = 1/5.
The probability of drawing a blue marble is: (# of blue marbles) / (total # of marbles) = 5/(3 + 7 + 5) = 5/15 = 1/3.
The probability of drawing a white marble is: (# of white marbles) / (total # of marbles) = 7/(3 + 7 + 5) = 7/15.
Now, we want these events to all occur for us. So, we must multiply them by each other: (1/5) * (1/3) * (7/15) = 7/225.
Thus, the probability is 7/225.
Hope this helps!
The weight distribution of parcels sent in a certain manner is normal with meanvalue 12 pounds and standard deviation 3.5 pounds. The parcel service wishes to establish aweight valuecbeyond which there will be a surcharge. What value ofcis such that 99% ofall parcels are under the surcharge weight?
Answer:
The parcel with weight less than 20.14 pounds are 99% of all parcels under the surcharge weight.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 12 pounds
Standard Deviation, σ = 3.5 pounds
We are given that the distribution of weights is a bell shaped distribution that is a normal distribution.
Formula:
[tex]z_{score} = \displaystyle\frac{x-\mu}{\sigma}[/tex]
We have to find the value of x such that the probability is 0.99
[tex]P( X < x) = P( z < \displaystyle\frac{x - 12}{3.5})=0.99[/tex]
Calculation the value from standard normal z table, we have,
[tex]\displaystyle\frac{x - 12}{3.5} = 2.326\\\\x = 20.141\approx 20.14[/tex]
Thus, parcel with weight less than 20.14 pounds are 99% of all parcels under the surcharge weight.
HELP PLZ!!! Which of the following os the correct equation for this function?
Answer:
The correct answer is C! I just got it right:)
Please help me idk this
Answer:
82.5
Step-by-step explanation:
I'm assuming you have to find the area of the triangle to find out how much cardboard she needs so you need the formula:
A =[tex]\frac{1}{2}[/tex]bh
A =[tex]\frac{1}{2}[/tex] 11 x 15
A =[tex]\frac{1}{2}[/tex] 165
A = 82.5
Sorry if its wrong
The diameter of a circle is 4 cm. Which equation can be used to find its circumference
A: C = pi x 44
B: C = pi x 2
C: C = 16 x pi
D: C = pi x 4
Answer:
D: C = 4π
Step-by-step explanation:
The formula for circumference is C = 2πr
The diameter is 4 which means the radius is 2.
Plug the value of r into the formula.
C = 2π2
C = 4π
D: C = 4π
Find the slope and y-intercept of the line that is parallel to y = 3x - 3 and passes through the point (-2,-7)
Answer:
y = 3x - 1
Step-by-step explanation:
The slope of this line is 3x and the y-intercept is -1.
I graphed the equation and the point along with the new equation below.
If this answer is correct, please make me Brainliest!
Solve for x. x^2 +12x+27=0
Answer:
x= -3,-9
Step-by-step explanation:
Answer: 9,3
Step-by-step explanation:
An office manager reported that he spent $350 on gifts for employees. He said that $240 was spent on clothing with each man receiving a $20 T-shirt and each woman receiving a $40 sweatshirt. He said that $110 was spent on desk accessories with each man receiving a $5 calendar and each woman receiving a $15 stapler. If m equals the number of men and wequals the number of women, the system of equations that represents the expenses is as follows:
m+2w=12
m+3w=22
Solve the system, showing all steps, and then discuss the reasonableness of the answer.
Answer:
The correct answer is the solution of the system of equations are w = 10 and m = -8. The answer is not at all reasonable.
Step-by-step explanation:
The two system of equations are m + 2w = 12 and m + 3w = 22 where m and w represent the number of men and women working in an office.
We subtract both the sides with each other in order to solve the system of equation.
⇒ m + 3w - m - 2w = 22 - 12
⇒ w = 10.
⇒ m = -8.
The values of w and m are not reasonable at all. Since m and w represent the number of men and women in an office, they cannot be less than zero.
Which products result in a difference of squares or a perfect square trinomial? Check all that apply.
(5x + 3)(5x - 3)
(7x + 4)(7x + 4)
(2x + 1)(x + 2)
(4x-6)(x+8)
(x - 9)(x -9)
(-3x - 5)(-3x + 6)
The Thomas family went for a Sunday drive. Before they left, Mr. Thomas noticed the gas tank was ¾ full. When they returned home the gas tank was ⅓ full. If the gas tank holds 18 gallons, how many gallons of gas did the car use on the drive?
Answer:
7.5 gallons
Step-by-step explanation:
Given:
The Thomas family went for a Sunday drive.
Before they left, Mr. Thomas noticed the gas tank was ¾ full.
When they returned home the gas tank was ⅓ full.
Total capacity of the gas tank = 18 gallons
Question asked:
How many gallons of gas did the car use on the drive?
Solution:
Before they left, quantity of gas in the tank = [tex]\frac{3}{4} \times18=\frac{54}{4} =13.5\ gallons[/tex]
When they returned, quantity of gas in the tank = [tex]\frac{1}{3} \times18=\frac{18}{3} =6\ gallons[/tex]
Quantity of gas used on the drive = 13.5 - 6 = 7.5 gallons
Therefore, 7.5 gallons of gas used on the drive by Thomas family.
Woodcut artist makes calendars by hand in one workday he can make approximately 4 calendars. If he works for nine weeks (working five days per week, how many calendars can he produce
Answer:
180 calendars
Step-by-step explanation:
Given that in one workday he can make 4 calendars
Nine weeks (working five days per week)
=> the total number of days he works is: 9*5 = 45 days
=> the total number of calendars he can make in nine weeks is:
the total number of days he works * the number of calendars he make in one day
= 45* 4 = 180 calendars
Hope it will find you well.
Chloe has 10 books on her bookshelf. 3 of these books have blue covers, and 7 have red covers.
2 of the blue books are mystery novels, and 1 is a fantasy novel.
5 of the red books are mystery novels, and 2 are fantasy novels.
Chloe closes her eyes and randomly selects a book from her bookshelf. Let A be the event that she selects a red
book and B be the event that the book is a mystery novel.
Which of the following statements are true?
Answer:
D
Step-by-step explanation:
The outcomes of events. A and B are dependent on each other.
The question relates to probability in Mathematics, specifically the probability of selecting a red (event A) or a mystery novel (event B) from Chloe's bookshelf. Both probabilities are 7/10 as 7 out of 10 books are red or mysteries. The probability of both A and B occurring simultaneously is 5/10, as 5 out of 10 of the books are red mysteries.
Explanation:The subject of this question is the calculation of probabilities in Mathematics. Here we have two events: event A, defined as selecting a red book, and event B, defined as selecting a mystery novel. Considering Chloe's bookshelf, she has 7 red books out of a total of 10, meaning that the probability of event A is 7/10. In addition, she has 7 mystery novels out of a total of 10 books, meaning that the probability of event B is 7/10 also.
It can be said that both events A and B are independent, because the colour of the book does not affect what genre it is. Also, it's worth mentioning that the likelihood of both A and B occurring, meaning the selection of a red mystery novel is (5/10) as 5 out of 10 books are red and mysteries.
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Macy of New York sold LeeCo. of Chicago office equipment with a $7,600 list price. Sale terms were 1/10, n/30 FOB New York. Macy agreed to prepay the $20 freight. LeeCo. pays the invoice within the discount period. What does LeeCo. pay Macy?
Answer:
$7544 is the amount paid
Step-by-step explanation:
In this question, we are asked to calculate the amount Leeco pay Macy given the data in the question.
Firstly, we calculate the Discount amount.
That would be 1% ( from 1/10)
that is 7,600 * 1% = $76
Now, we proceed to subtract this value from cost of office equipment; 7,600 - 76 = $7,524
Afterwards, we can now add the freight charges = $7,524 + 20 = $7544
Answer: LeeCo. pay Macy 7544 dollars
Step-by-step explanation:
Given that the office equipment was sold at $7,600
And Sale terms were 1/10, n/30 FOB New York. Macy agreed to prepay the $20 freight.
Then,
7600 - 7600(0.01) + 20
= 7600 - 76 + 20
= 7544 dollars
LeeCo. pay Macy $7544