Answer:
(9 1/2) * (19 1/4) = 1463/8 = 182 7/8
Step-by-step explanation:
Conversion a mixed number 9 1/2
to a improper fraction: 9 1/2 = 9 1/2
= 9 · 2 + 1/2
= 18 + 1/2
= 19/2
To find a new numerator:
a) Multiply the whole number 9 by the denominator 2. Whole number 9 equally 9 * 2/2
= 18/2
b) Add the answer from previous step 18 to the numerator 1. New numerator is 18 + 1 = 19
c) Write a previous answer (new numerator 19) over the denominator 2.
Nine and one half is nineteen halves
Conversion a mixed number 19 1/4
to a improper fraction: 19 1/4 = 19 1/4
= 19 · 4 + 1/4
= 76 + 1/4
= 77/4
To find new numerator:
a) Multiply the whole number 19 by the denominator 4. Whole number 19 equally 19 * 4/4
= 76/4
b) Add the answer from previous step 76 to the numerator 1. New numerator is 76 + 1 = 77
c) Write a previous answer (new numerator 77) over the denominator 4.
Nineteen and one quarter is seventy-seven quarters
Multiple: 19/2
* 77/4
= 19 · 77/2.4
= 1463/8
Simplify the expression. Explain each step.
5.3 + (W + 1.2)
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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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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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
Is parallelogram BCDE a rectangle?
4% of what is 25
I need the answer
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?
jenna buys a clay pot at an art studio for $12. she rents a space at the studio per hour to decorate the pot
standard deviation of the data. 160,220,220,249,190
Answer:
Population: 30.32. Sample: 33.99
Help what is the value
Answer:
I love you 3566267840 and pas 123456
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
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
...............
(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:
help plzzzzzzzzzzzzzz
Answer:
a) 20ft
Step-by-step explanation:
just multiply the model length and the scale factor
PLEASE HELP For the expression below, write two other equivalent expressions using different terms. Make sure one is fully simplified. -4(x+2)-2x+4
Given:
The given expression is
[tex]-4(x+2)-2x+4[/tex]
To find:
The two other equivalent expressions.
Solution:
We have,
[tex]-4(x+2)-2x+4[/tex]
Using distributive property, we get
[tex]=-4(x)-4(2)-2x+4[/tex]
[tex]=-4x-8-2x+4[/tex]
So, one equivalent expression is [tex]-4x-8-2x+4[/tex].
On further simplification, we get
[tex]=(-4x-2x)+(-8+4)[/tex]
[tex]=6x-4[/tex]
Therefore, the second and fully simplified equivalent expression is [tex]6x-4[/tex].
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
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
12.4 is 20% of what number?
A. 2.48
B. 32.4
C. 62
D. 248
Answer:
c
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
put 12.4* 20 and you get D
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!
Determine which of the transformations applied to Circle A could be used to prove Circle A is similar to Circle B. Select Yes or No for each transformations.
THE ANSWER I PUT WAS WRONG!!!
Answer:
Step-by-step explanation:
Circle A has center (-2, 3)
Circle B has center (2, -2)
Circle A can be mapped to Circle A' by a translation:
Center Rule of translation New center
(x, y) (x+4, y-5)
A(-2, 3) A'(-2+4, 3-5) A'(2, -2)
Circle A with radius r 1=2
Circle B with radius r 2=3
Scale factor= r 2/r 1 = 3/2 = 1.5
Since any two circles can be translated to have the same center, the dilation r2/r1 proves the circles are similar where r1 and r2 are the radii of the circles.
The Circle A' and circle B both have center (2, -2). Then circle A' can be mapped to circle B by a dilation with center (2, -2) and a scale factor 3/2=1.5. So circle A and circle B are similar.
Therefore: Translation right 4, down 5, and then a dilation of 1.5 is true.
Translation down 5, right 4, and then a dilation of 1.5 is true.
what is the cosine of 210 degrees
Answer:
-0.86602540378 is the decimal form
and the exact form is − √ 3/2
Sylvie needs $110 for a concert ticket. She already has $16 and she can earn the rest by working 10 hours at her job. If h represents her hourly earnings, which of the following equations can be solved to find Sylvie’s hourly earnings? Select all that apply
A 110 - 16 = 10h
B 110 = 16h + 10
C 16 = 110 - h
D 110 = 16 + 10h
E 110 + 16 = 10h
Answer:
Option A and D
Hope this helps!
Answer:
D
Step-by-step explanation:
16 +10h = 110 is the equation because it uses 10h to represent the hourly wages and you need $110. Therefore, with the starting $16, if you use the hourly $10 rate you can come to your answer using the equation.
Dose 5x + 9 = 9+5x have no solution one solution or infinitely many solutions?
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
hii please help i’ll give brainliest!!
Answer:
your answer should be C.
A tabletop in the shape of a trapezoid has an area of 5,550 square centimeters. Its longer base measures 115 centimeters, and the shorter base is 85 centimeters . What is the height?
Answer:
55.5 cm
Step-by-step explanation:
[tex]h=2*\frac{A}{a+b} \\\\h=2*\frac{5550}{115+85} \\\\h=2*\frac{5550}{200} \\\\h=2*\frac{111}{4} \\\\h=55.5[/tex]
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?
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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WILL GIVE BRAINLY IF CORRECT
A circle has its center at the point (1, -3) and goes through the point (-3, 0). Using this information, write the equation for the circle.
Answer:
(-3-1)^2+(0+3)^2=r^2
radius is 5 units
Step-by-step explanation:
(x-h)^2+(y-k)^2=r^2
We know values of all variables except r at the moment.
h is the x-coordinate of the center of the circle, and k is the y-coordinate.
x and y are coordinates of a point the circumference touches.
From there, just plug in the numbers and solve!
wasdwasdwasdwasdwasdwasdwasdwasd
Answer:
Yes of course I love this too
Step-by-step explanation:
Answer:
hahahahah lol..........btw thnks❤️
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