Eloise's aunt cut 9.5 meters of ribbon into 4 equal sections and gave one of those sections to Eloise. Her friend Amelie has 2.5 meters of ribbon. How much more ribbon does Amelie have than Eloise? Enter your answer in the box. m
Answer:
0.125 meters
Step-by-step explanation:
Eloise's aunt cut 9.5 meters of ribbon into 4 equal sections and gave one of those sections to Eloise.
The length of the ribbon given to Eloise
= 9.5 meters/4
= 2.375 meters
Her friend Amelie has 2.5 meters of ribbon.
How much more ribbon does Amelie have than Eloise?
This is calculated as:
Number of meters of ribbon Amelie has - Number of meters if ribbon Eloise has
= 2.5 meter - 2.375 meters
= 0.125 meters
Therefore: Amelie has 0.125 meters of ribbon more than Eloise
The expressions p(200-5p)and 200p-5p2define the same function. The function models the revenue a school would earn from selling raffle tickets at p dollars each.
At what price or prices would the school collect $0 revenue from raffle sales? Explain or show your reasoning.
The school staff noticed that there are two ticket prices that would both result in a revenue of $500. How would you find out what those two prices are?
I really have no idea. If anyone could help that would be great!
The prices which the school would collect $0 revenue are $0 and $ 40 respectively.
Since the revenue R(p) = p(200 - 5p).
The price at which the school earn s $0 revenue from the raffle sales is when R(p) = 0.
So, p(200 - 5p) = 0
p = 0 or 200 - 5p = 0
p = 0 or 200 = 5p
p = 0 or p = 200/5 = 4
So, the prices which the school would collect $0 revenue are $0 and $ 40 respectively.
b. Prices at $500 revenueThe two ticket prices that would produce a revenue of $500 are $2.68 and $ 37.32
We need to find the two ticket prices that would result in a revenue of $500. So, R(p) = 500.
So, p(200 - 5p) = 500
200p - 5p² = 500
Re-arranging, we have
5p² - 200p + 500 = 0
Dividing through by 5, we have
p² - 40p + 100 = 0
Using the quadratic formula, we find the value of p.
So,
[tex]p = \frac{-(-40) +/- \sqrt{(-40)^{2} - 4 X 1 X 100} }{2 X 1} \\p = \frac{40 +/- \sqrt{1600 - 400} }{2} \\p = \frac{40)+/- \sqrt{1200} }{2} \\p = \frac{40 +/- 34.64 }{2} \\p = \frac{40 - 34.64 }{2} or p = \frac{40 + 34.64 }{2} \\p = \frac{5.36}{2} or p = \frac{74.64 }{2} \\p = 2.68 or 37.32[/tex]
So, the two ticket prices that would produce a revenue of $500 are $2.68 and $ 37.32
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Does 135, 45, 15,5,represent a
geometric sequence?
Answer:
yes
Step-by-step explanation:
Each time it is divided by three!
Ji-yoon's bill at the restaurant was $45.10. She left a tip of 18%.
What was the tip amount (nearest penny)?
answer this pls
(Someone Help Please)
Which equation is true when q = 1/2?
A. 10q − 1/2= 4 1/2
B. 15 1/2 − 8q= 3 3/4
C. 20q + q + 2 1/2=12 1/2
D. 25 1/2 + 6q - q = 28 1/2
Answer:irl
Step-by-step explanation:
Is parallelogram BCDE a rectangle?
jenna buys a clay pot at an art studio for $12. she rents a space at the studio per hour to decorate the pot
What is the value of 4/15, divided by, 2/ 3?
help plzzz
Answer: 2/5
Step-by-step explanation: Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes
The, multiply the numerators and denominators and get 12/30, then simply by 6 and get 2/5
HELPPPPP I NEED THIS
Answer:
D. 1.3
Step-by-step explanation:
5(1.3) = 6.5
Since the value of r is .2 less than b, b would be 1.5
2(1.5) = 3
6.5+3=9.5
wasdwasdwasdwasdwasdwasdwasdwasd
Answer:
Yes of course I love this too
Step-by-step explanation:
Answer:
hahahahah lol..........btw thnks❤️
This is the full question if you can please solve this it’s really important.
A machine cuts three circles of the same size from a rectangular sheet of
metal as shown.
Answer:
[tex]\huge\boxed{\sf 11.74\ in.\²}[/tex]
Step-by-step explanation:
Area of Rectangle:
Length = 11.8 in.
Width = 3.6 in.
Area = Length * Width
Area = 11.8 * 3.6
Area = 42.48 in.²
Area of 3 circles:
Diameter = 3.6 in.
Radius = D/2 = 3.6/2 = 1.8 in.
[tex]\sf Area = \pi r^2\\\\Area = (3.14)(1.8)^2\\\\Area = (3.14)(3.24)\\\\Area = 10.18\ in.^2[/tex]
Area of 3 circles = 3(10.18) = 30.5 in.²
Area of the figure when the 3 circles are cut:
= Area of the rectangle - Area of 3 circles
= 42.28 - 30.5
= 11.74 in.²
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807
What are the zeros of f(x) = x2 - 12x+ 36?
A. X = -4 and x = 9
B. x = -6 only
C. x= -6 and x = 6
D. x = 6 only
Answer:
D
Step-by-step explanation:
x^2-12x+36
type into desmos and see where it touches the the line
help plzzzzzzzzzzzzzz
Answer:
a) 20ft
Step-by-step explanation:
just multiply the model length and the scale factor
standard deviation of the data. 160,220,220,249,190
Answer:
Population: 30.32. Sample: 33.99
Suppose y varies directly with x and y = 25 when x = 140. What is the value of x
when y = 36?
Answer:
201.6
Step-by-step explanation:
y varies directly as x
y = kx... "k" is the constant
y = 25, x = 140
25÷140 =k × 140÷140
k = 0.17857
y = 0.17857 × x
when y = 36 what is x
36 = 0.17857 × x
x =36÷0.17857 =201.6
4. Jessica is saving money to buy a phone that costs $415. She already has $85 saved. She mows
lawns to make extra money. She charges $15 per lawn that she mows. Let n be the number
of lawns she needs to mow to have enough money saved to buy the phone.
Set up and solve an equation to find the value of n.
Answer:
15n = 330
Value of n(number of lawns) = 22
Step-by-step explanation:
She has already saved $85 which means the amount of money she needs left will be
=$415 - $85
= $330
Now n represents the number of lawns she needs to mow. She earns $15 per lawn, so she needs to multiply the cost of each lawn by the number of lawns (n) and equal it to the money she needs. This is how the equation will turn out.
15n = 330
To go further, divide both sides by 15 to get the number of lawns she has to mow.
[tex]\frac{15n}{15} =\frac{330}{15}[/tex]
n = 22
∴ She needs to mow 22 lawns to get the amount of money she needs.
Which among the four choices gives the difference of (x/4x²) and (3/4x²)?
Answer:
2
Step-by-step explanation:
the difference is that
Belinda went biking on Saturday and rode for 6 4/5 miles. On Sunday she rode for 2/3 of the distance she rode on Saturday. Write and solve an equation that will help you figure out how far Belinda rode on Sunday. Explain the steps you took to solve the problem.
(solve step by step)
Answer:
68/15 miles
Step-by-step explanation:
Miles she rode on Saturday = (6x5+4) / 5 = 34/5 miles
Miles she rode on Sunday = 34/5 x 2/3 = 68/15 miles --As it is stated that she rode 2/3 of the distance of Saturday's, so simply multiple it by 2/3
Please help me I'm desperate!! Debbie is making bows that use 1/5 yard of ribbon each. If Debbie has 3 yards of ribbon how many can she make. Is this division or multiplication pls tell me that too.
A toy in a toy shop in shape of a triangle pyramid the area of the base of the toys 14 square cm and it's what has a height of 12 cm centimeters what is the volume of the twin cubic centimeters
Answer:
56cm³
Step-by-step explanation:
A triangular prism also known as tetrahedron is a polyhedron. It consists of of four triangular faces, six edges and four vertexes
Area of a triangular prism = 1/3 x area of base x height
1/3 x 14 x 12 = 56 cm³
Katie buys several pairs of socks for $3 per pair.
Which equation represents Katie's total cost, c, when she buys s pairs of socks and why?
if a bird flew 30 meters in 10 seconds how far would it fly in 1 second
Answer: The bird would fly 3 meters in 1 second. Have a good day!!
30 divided by 10 is 3. Therefore, 3 is your answer!
Find the average of the following grades to the nearest whole number:
51, 70, 97, 63, 50, 31, 59, 51, 59, 50
Answer:
58
Step-by-step explanation:
To get the average, you add all of the numbers and then divide by the amount of numbers.
51 + 70 + 97 + 63 + 50 + 31 + 59 + 51 +59 + 50 = 581.
581 ÷ 10 = 58.1
Then, rounding 58.1 is 58
Determine and describe the number and type of roots of the quadratic functions. Show any and all work necessary to determine your answer. Justify your answer with appropriate reasoning. a) y=3x^2+7x+8 b) y=2x^2-7x-2 c) y=9x^2+30+25
Answer:
See explanations below
Step-by-step explanation:
The root of a quadratic equation is determined by its discriminant
D = b²-4ac
If D > 0, the roots are real and unique
If D < 0, the roots are complex
If D= 0, the roots are real and equal
a) For the quadratic equation
y=3x^2+7x+8
Since the highest degree of the equation is 2, hence the equation will have 2 roots
From the equation, a = 3, b = 7 and c = 8
Get the discriminant
D = 7²-4(3)(8)
D = 49 - 96
D = -47
Since the discriminant value is less than 0, hence the roots are complex roots
b) For the quadratic equation
y=2x^2-7x-2
Since the highest degree of the equation is 2, hence the equation will have 2 roots
From the equation, a = 2, b = -3 and c = -2
Get the discriminant
D = (-3)²-4(2)(-2)
D = 9 + 16
D = 25
Since the discriminant value is greater than 0, hence the roots are real and unique.
c) For the quadratic equation
y=9x^2+30x+25
Since the highest degree of the equation is 2, hence the equation will have 2 roots
From the equation, a = 9, b = 30 and c = 25
Get the discriminant
D = 30²-4(9)(25)
D = 900 - 900
D = 0
Since the discriminant value is equal to 0, hence the roots are complex real and equal
how do you do it please help me with this problem
Step-by-step explanation:
with which problem....not visible
Answer:
What is the problem?
What is the image of the point (-7,-8)(−7,−8) after a rotation of 270^{\circ}270 ∘ counterclockwise about the origin?
The image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin is (8, -7).
What is counterclockwise ?
Counterclockwise is a direction of rotation that is opposite to the direction of the hands on a clock. It is also known as anticlockwise in some parts of the world. When viewed from above, counterclockwise rotation goes in the direction of a left-handed spiral, while clockwise rotation goes in the direction of a right-handed spiral. In mathematics, physics, and other fields, counterclockwise is often used as a standard convention for the positive direction or orientation of angles, planes, and other geometric objects. In graphical user interfaces, counterclockwise rotation is often used to indicate an undo or reverse action, while clockwise rotation is used to indicate a redo or repeat action.
According to the question:
When a point is rotated by 270 degrees counterclockwise about the origin, the new point is found by switching the x and y-coordinates of the original point, and negating the new x-coordinate. So, to find the image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin, we can use the following formula:
(x', y') = (-y, x)
where (x, y) is the original point and (x', y') is the new point after the rotation
Plugging in the values from the given point, we get:
(x', y') = (-(-8), -7)
Simplifying this expression, we get:
(x', y') = (8, -7)
Therefore, the image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin is (8, -7).
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Find the surface area!! Geometry!! Pls help!!
Answer::
The answer is 3037.5
Explanation::
4.5 x 7.5 x 6 x 15 = 3037.5
Answer:
319.5in
Step-by-step explanation:
First lets calculate the area of all the rectangles
2(6in * 15in) = 180in
The 2 is because there are two rectangles with the dimensions of 6in and 15in.
7.5in * 15in = 112.5in
112.5in + 180in = 292.5
Next lets calculate the area of the triangles.
4.5in * 6in / 2 = 13.5in
13.5 + 13.5 = 27in
292.5in + 27in = 319.5in
hope this helps!
Solve the inequality a+4/2>16
Answer:
a > 14
Step-by-step explanation:
I hope this helps!
The solution to the inequality expression a + 4/2 > 16 is a > 14
How to solve the inequality expression?The inequality expression is given as:
a + 4/2 > 16
Divide 4 by 2
a + 2 > 16
Subtract 2 from both sides
a > 14
Hence, the solution to the inequality expression a + 4/2 > 16 is a > 14
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could someone please help me with this problem?
Answer:
3x+4(3x−5)=25
Use the distributive property to multiply 4 by 3x−5.
3x+12x−20=25
Combine 3x and 12x to get 15x.
15x−20=25
Add 20 to both sides.
15x=25+20
Add 25 and 20 to get 45.
15x=45
Divide both sides by 15.
x= 45/15
Divide 45 by 15 to get 3.
x=3
A little boy stands on a carousel and rotates around the road four times. The distance between the little boy and the center of the carousel is 6 feet, then how many feet did a little travel?
1. 389.99FT
2. 150. 72FT
3.1675.39 ft
4. 593.94 ft
150.72
...............