Answer:
45/8, or 5.625
Step-by-step explanation:
20/4 is simplified to 5/1.
5/1 divided by 8/9
5/1 * 9/8
45/8
simplified to 5.625
Answer:
45/8 or 5 5/6.
Step-by-step explanation:
20/4 / 8/9 We invert the second fraction and multiply:
= 20/4 * 9/8
= 180 / 32
= 45/8
= 5 5/8.
Blue earns 5.5% commission working at Advian. If he sells $85,000 worth of goods during the quarter,
what is his commission?
Answer:
$4,675
Step-by-step explanation:
The commission is 5.5% of $85,000.
5.5% * $85,000 =
= 0.055 * $85,000
= $4,675
Answer:
$4675
Step-by-step explanation:
85,000 x .055 = 4,675
Hope that helps!
Randy wanted to survey to determine the most preferred pet of the residents in his city.Which method of samplingBEST represents the most unbiased opinion?
Answer:
Survey 100 residents who have pets completely randomly
Step-by-step explanation:
The best sampling method would be to Survey 100 residents who have pets completely randomly. This would provide first-hand information from actual pet owners which would make the results valid. Also, by choosing the individuals to survey completely randomly it allows for the data to be unbiased and representative of the entire pet owner population in the city. This makes the data gathered completely unbiased and valid.
Given that is the midpoint of AB and E is the midpoint of AC, AD =32cm, AE=19cm, and DE=39cm, determine the perimeter of DBCE
Answer:
since triangle AED similar to ACB
CE=19cm mid point bisect it
BD=32Cm mid point bisect it
Step-by-step explanation:
BC=2DE=2×39=78Cm
perimeter=sum of all side=ce+de+bd+bc=19+39+32+78=168cmtherefore perimeter of DBCE=168CmFind the total surface area of a cylinder whose diameter is 28 cm and height is 11 cm.
Answer:
2199.11 (with pi)
2198 (with 3.14)
Step-by-step explanation:
A=2πrh+2πr²
A=2π(14)(11)+2π(14)²
A=2π(154)+2π(196)
A=2(483.56)+2(615.44)
A=967.12+1230.88
each side of a triangle is nine inches long. find the perimeter
The triangle in which the side are nine inches long has a perimeter of 27 inches.
Perimeter of a triangle
The perimeter of a triangle is the sum of the length of the whole side.
The triangle have three sides and the perimeter is the sum of the whole sides.
According to the question, the triangle has the whole sides as 9 inches.
This means the triangle is an equilateral triangle.
Therefore,
length of side = 9 inches
perimeter = 9 + 9 + 9
perimeter = 27 inches
learn more on triangle here:https://brainly.com/question/19976393
A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage. If they share one sausage, they can eat it in 6 seconds. How long does it take each animal to eat a sausage alone?
Answer:
Kitten is 15 seconds and dog is 10 seconds
In work and time the time taken is inversely proportional to the work done. Work and time is a concept to solve the problems of work related question in a given time.The kitten eats a sausage in 15 seconds and puppy eats a sausage in 10 seconds.
What is concept of Work and time?
In work and time the time taken is inversely proportional to the work done. Work and time is a concept to solve the problems of work related question in a given time
Given-Puppy and kitten eats one sausage combined in 6 sec.
A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage.
Let puppy eats a sausage in [tex]x[/tex] seconds and kitten eats a sausage in [tex]y[/tex] seconds.
As Puppy and kitten eats one sausage combined in 6 sec.Thus,
[tex]\dfrac{1}{x} +\dfrac{1}{y} =\dfrac{1}{6}[/tex]
Let above equation is equation one.
A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage. Thus
[tex]\dfrac{1}{x} -\dfrac{1}{y}=\dfrac{1}{5}[/tex]
Put this value of [tex]x[/tex] in the the equation one to get the value of y. Therefore,
[tex]\dfrac{1}{6} -\dfrac{1}{y}-\dfrac{1}{y}=\dfrac{1}{5}[/tex]
[tex]-\dfrac{1}{2y}=\dfrac{1}{5}-\dfrac{1}{6}[/tex]
[tex]-\dfrac{1}{2y}=-\dfrac{1}{30}[/tex]
[tex]y=15[/tex]
Thus the kitten eats a sausage in 15 seconds.
Put the value of y in equation one. thus,
[tex]\dfrac{1}{x} +\dfrac{1}{15} =\dfrac{1}{6}[/tex]
[tex]\dfrac{1}{x} =\dfrac{1}{6}-\dfrac{1}{15}[/tex]
[tex]\dfrac{1}{x} =\dfrac{9}{90}[/tex]
[tex]x=10[/tex]
Thus the puppy eats a sausage in 10 seconds.
Hence the kitten eats a sausage in 15 seconds and puppy eats a sausage in 10 seconds.
Learn more about the work and time here,
https://brainly.com/question/8536605
Anna is 11 5/6 years old. Morgan is 1 1/3 years older than Anna and Jane is 1 1/4 years older than Morgan. How old is Jane?
Answer:
18
Step-by-step explanation:
Tamia watched 1 2 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 1 3 of the movie left to watch. How much of the movie did Tamia watch at
Answer: Tamiya watched [tex]\dfrac16[/tex] of the movie at night.
Step-by-step explanation:
Let x = part of movie watched at night.
Given : Tanya watched [tex]\dfrac12[/tex] of movie in the morning.
Part left to watch = [tex]\dfrac13[/tex]
As per given, we have
[tex]\dfrac12+x+\dfrac13=1\\\\\Rightarrow\ x=1-\dfrac13-\dfrac12\\\\\Rightarrow\ x=\dfrac{6-2-3}{6}\\\\\Rightarrow\ x=\dfrac16[/tex]
Hence, Tamiya watched [tex]\dfrac16[/tex] of the movie at night.
The width of a rectangle is x. Its length is 3x. How long is the diagonal of the rectangle? Express your answer in simplified radical form.
Answer:
The length of the diagonal is x√10
Step-by-step explanation:
Here, we want to find the length of the diagonal
The diagonal will represent the hypotenuse of a triangle formed with the width and length of the triangle being the measure of the other sides
Mathematically, we then apply Pythagoras’ theorem to get this
we have this as that the square of the diagonal equals the sum of the squares of the two other sides
d^2 = x^2 + (3x)^2
d^2 = x^2 + 9x^2
d^2 = 10x^2
d = √(10x^2)
d = x√10
Function or not a function?
yo no se ok yo no se solamente qiero puntos
the total surface area of this cuboid is 76cm^2 find the value of x (5cm = width, 4cm= length and x = height)
Answer:
Height x=2
Step-by-step explanation:
area of top & bottom:
(5)(4)(2)=40
area of 2 sides:
(x)(5)(2)=?
area of the other two sides:
(x)(4)(2)=?
total area=76
76=40+10x+8x
simplify:
36=18x
x=2
PLZ PLZ PLZ help 50 points
Answer:
i think im to late sorry
Step-by-step explanation: