A vacuum cleaner costs $68, and the full-replacement extended warranty costs $22. if the manufacturer sells 360,920 vacuum cleaners under warranty and must replace 15% of them to honor the warranties, how much will the replacement costs be? a. $4,258,856 b. $3,681,384 c. $1,191,036 d. $6,749,204
The cost of the 15 percent of replaced vacuum cleaner which are sold under warranty is $3,681,384. Option b is correct.
What is percentage ?Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.
A vacuum cleaner costs $68, and the full-replacement extended warranty costs $22.
The manufacturer sells 360,920 vacuum cleaners under warranty and must replace 15% of them to honor the warranties. Thus, the number of vecuum cleaner replaced by manufacturer is,
[tex]n=\dfrac{15}{100}\times360,920\\n=54138[/tex]
The cost of one vacuum cleaner is $68. Thus the cost of 54138 vcacuum cleaner is,
[tex]C=54138\times68\\C=3681384[/tex]
Hence, the cost of the 15 percent of replaced vacuum cleaner which are sold under warranty is $3,681,384. Option b is correct.
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HELPPP please help i don’t get it
this is what would make sence for me
the frist one was confusing
If V(-5, -2) is
reflected in the line
y = -6, what are
the
coordinates
of V?
Answer:
(-5, - 10 )
Step-by-step explanation:
y = - 6 is a horizontal line parallel to the x- axis passing through all points with a y- coordinate of - 6
under a reflection in this line the x- coordinate of the point V is the same
V (- 5, - 2 ) with y- coordinate - 2 is 4 units above y = - 6
the reflected point will therefore be 4 units below y = - 6, that is - 10 , then
V (- 5, - 2 ) → V' (- 5, - 10 )
Find the value of x that makes triangle rst similar to triangle hgk
The value of x that makes triangle rst similar to triangle hgk is x = -2.2
What are similar triangles?
Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.
Since both triangles are similar, hence:
GH/RS = HK/ST
(x + 7) / 3 = 8/5
x = -2.2
The value of x that makes triangle rst similar to triangle hgk is x = -2.2
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Which expression is a prime polynomial?
O A 8.37 - 9 + 12-2
OB. 19 - y
OC. I +9y2
OD 3m + 9n
Find the volume of the figure. If necessary, round your answer to the nearest tenth.
Answer choice
A: 441 cm^3
B: 220 cm^3
C: 73.5 cm^3
Answer:
220 cm^3
Step-by-step explanation:
volume = 1/2(10.5)(6)(7)
volume = 220.5 cm^3
please show work 2. Which equation represents the line whose slope is 6 and whose y-intercept is 2?
A. y = 2x + 6
B. 2y + 6x = 0
C. y = 6x + 2
D. y + 2x = 6
We are given the line's slope and the line's y-intercept (the point where the line touches the y-axis)
It's easier to write the equation in Slope-Intercept Form, which looks like so:-
[tex]\boxed{y=mx+b}[/tex]
where m -> slope of the line & b -> y-intercept
Instead of m, you should plug in 6:-
y=6x+b
Instead of b, you should plug in 2:-
y=6x+2 ✓
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
Factor completely 9y+27
Answer: 9(y + 3)
Step-by-step explanation: 9y/9 = y | 27/9 = 3
Angle θ is in standard position. if sin(θ) = − 1 3 , and π < θ < 3π 2 , find cos(θ).
The value of the angle θ is 160.52° then the value of the cosine will be negative 0.9428.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
Angle θ is in standard position.
If sin(θ) = − 1/3 , and π < θ < 3π/2
Then the angle will be
[tex]\theta = \sin ^{-1}\dfrac{-1}{3}\\\\\theta = -19.47[/tex]
Then add 180 degrees, then we have
[tex]\theta = -19.47 + 180\\\\\theta = 160.52[/tex]
Then the value of the cosine will be
[tex]\cos 160.52^o=-0.9428[/tex]
More about the trigonometry link is given below.
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Answer:
-2√2/3
Step-by-step explanation:
edge 22
How many miles can be driven with 5.5 gallons of gas
Answer:
About 198 miles.
Step-by-step explanation:
The average car can drive with an MPG ratio of 36 miles per gallon. Using this and other observations. This would make this equation rather facile and result in equation 36(MPG) × 5.5(Gallons). Therefore, the result led to the remedy as 198 miles.
Alex surveyed twenty boys from his class. He asked their height in centimeters and their shoe size. Alex wanted to know if these two variables were related. He graphed the results on the coordinate plane. Each graph below shows Alex’s data.
Which of the graphs shows the best linear fit for the data?
The graph that has a linear fit that is best for the data that Alex collected is the graph attached.
Which graph shows the data best?A linear fit that would be best for Alex's data is one that tries to get an equal number of shoe sizes on both sides of the line.
The shoe sizes should also be a roughly equal distance to the line and the line should be drawn in the middle of the data. The line that does this best is shown attached.
Find out more on linear fits at https://brainly.com/question/839548.
UNIT 5: CEREAL BOX PROJECT / PORTFOLIO
The volume of the cuboid of the box is 180 inches³ while the volume of the cylinder is 235.5 inches³.
How to calculate the volume?The volume of the cuboid will be:
= Length × Width × Height
= 12 × 2 × 7.5
= 180 inches³
The volume of the cylinder will be:
= πr²h
= 3.14 × 2.5² × 12
= 235.5 inches³
The surface area of the cuboid will be:
= 2(12 × 2) + 2(12 × 7.5) + 2(7.5 × 2)
= 48 + 180 + 30
= 258 inches²
The surface area of the cylinder will be:
= 2πrh + 2πr²
= (2 × 3.14 × 2.5 × 12) + (2 × 3.14 × 2.5²)
= 188.4 + 39.25
= 227.65 inches²
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The slope for 5 and 2
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
As we know, slope (m) is equal to tan θ for a straight line :
[tex]\qquad \tt\dashrightarrow \: m = \tan( \theta) [/tex]
[tex]\qquad \tt\dashrightarrow \: m = \dfrac{5}{2} [/tex]
So, we can say that it's a positive constant slope
You have five employees. They work the following number of hours last week: 42, 26, 39, 12, 55. What is the median number of hours worked
Answer:
39
Step-by-step explanation:
The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half. In simple terms, it may be thought of as the "middle" value of a data set!
Hope this helps
How fast is a car traveling if it travels 90 miles in 2 hours? At that rate, how far will it travel in 3 hours?
Answer:
135 miles in 3 hours, or 45 miles an hour
Step-by-step explanation:
well, if it travels 90 miles in 2 hours, than how many does it do in one?
90m/2h=45 miles in ONE hour.
Given that info, we can solve for 3 hours.
If ONE hour is 45, then THREE hours is just 45*3=135
135 miles in 3 hours, or 45 miles an hour
Answer:
90 miles in 2 hours
45 miles per hour
135 miles in 3 hours
Step-by-step explanation:
Bro come on simple maths
The ordered pair (3,-2) is a solution to the system of inequalities,
y<x-3
y2-X-2
True
False
please help me with this question
Answer:
71
Step-by-step explanation:
The mean is the average. There are two ways to do this question shown.
1- You can calculate the mean by adding them all up and find the current mean. You can then add the numbers and then divide again-
88+100+76+92+83=439.
439/5=87.8
The current average is 87.8. Now, you can add and divide again.
439+71=510. 510/6=85.
You now have the answer. However, you might want to check again.
439+76=515
515/6=85.833....3
It is more than 85, so the answer is 71.
2- Find out how much more all the numbers are than the smallest number.
First, I'll organize it.
-76, 83, 88, 92, 100-
The smallest number is 76, so subtract 76 from each.
0, 7, 12, 16, 24 added up together is 59.
59/5=11.8
76+11.8=87.8
That also gives you that the average is 87.8.
You can then see how much or less the number is than the average and then add.
71 is five LESS than the average, so it's -5.
54/6=9.
9+76=85.
Thus, 71
Find the midpoint between point A and point B:
A: (-3, 10)
B: (7, -4)
options:
(-5, 3)
(2, 3)
(2, 7)
(-5, 7)
Answer:
2,3
Step-by-step explanation:
Answer: (2,3)
Step-by-step explanation:
add the two x’s and divide them then do the same with your y’s.
What is the surface area of this design? (in the image)
★TSA=2(LB+BH+LH)
#1
L=4B=4H=6TSA:-
2(4×4+4×6+4×4)2(16+16+24)2(56)112in²#2
L=6inB=10inH=6inTSA:-
2(60+60+36)2(120+36)2(156)312in²Total:-
312+112=424in²If you can help me with this please and thank you
Answer:
thanks for the points
Step-by-step explanation:
The volume, v, of a cylinder is equal to this area base, b, times it’s height h. if the diameter of the cylinder is 18 feet and it’s height is 2.9 feet, which expression represents v in cubic meters?
The volume of the cylinder in cubic meters is 20.886 m^3
How to get the volume?
We know that the volume is the area of the base times the height.
In this case, the diameter of the base is 18 ft, so the radius (half of that) is:
R = 18ft/2 = 9ft
Then the area of the base is:
B = 3.14*(9ft)^2 = 254.34 ft^2
And the height is 2.9 ft, then the volume is:
V = (2.9 ft)*254.34 ft^2 = 737.586 ft^3
Now, we know that:
1ft = 0.3048 m
if we cube both of these
1 ft^3 = (0.3048 m)^3 = 0.0283 m^3
Now we can change the unis of our volume:
V = 737.586 ft^3 = 737.586*0.0283 m^3 = 20.886 m^3
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The baseball game started at 7:00 p.m. It ended at 9:15 p.m. How long did
the baseball game last?
There are 31 passengers split between 3 cars in the Metrolink. How many passengers per car?
Answer:
10 passengers in every car
One left he choose the car which he want
explanation:
MAY IT HELP U
Answer:
Since the answer is a decimal we have to state that two cars had 11 passangers while one car had 10 passangers.
Step-by-step explanation:
Step 1: Determine the unit rate
Passangers per car
Passangers / car
(31 passangers) / (3 cars)
10.333 passangers / car
Answer: Since the answer is a decimal we have to state that two cars had 11 passangers while one car had 10 passangers.
A string 1 metre long is cut into 3 pieces, A,B and C. A is 10 cm long and C is 30 cm long, find the ratio of the lengths of A to C to B
Answer:
The semi annual compound interest of a sum of money in 1 year and 2 years are Rs. 2100 and Rs. 4641 respectively, find the rate of interest and the sum.
Find the x- and y-intercepts of the equation - 4x + 2y = 20
Answer:
y-intercept: 20
x-intercept: 5
Step-by-step explanation:
First, you want to rearrange the equation to make y on one side
2y=20-4x
Next, the y-intercept is 20.
Then to find the x-intercept, you have to make the equation equal to 0.
20-4x=0
Now, you solve for x.
20-4x=0
-4x=-20
-x=5
x=5
The x-intercept is 5.
i’m not sure how to do this any help would be great
Answer:
785.4cm^3
Step-by-step explanation:
(10÷2)^2*π=25π
25π*10=250π≈785.4
A spring with spring constant 0.5 m has a force of 40 newtons applied to it. How much does the spring
stretch? Use Hooke's law F = kx
N
O A 1,600 cm
OB. 100 cm
O C. 80 cm
O D. 40 cm
The spring stretch by 80cm if a spring constant 0.5 m has a force of 40 newtons applied to it
How to calculate the force acting on string?According to Hookes law
F = ke
where
F is the applied force = 40N
k is the spring constant
e is the extension = 0.5
Substitute
40 = 0.5e
e = 40/0.5
e = 80cm
Hence the spring stretch by 80cm if a spring constant 0.5 m has a force of 40 newtons applied to it
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In a class of 28 pupils, if 12 are females. Calculate the ratio of males : total
Answer:
16 : 28
Step-by-step explanation:
If 12 out of the 28 pupils are female, we can calculate the number of males by subtracting the number of females from the total number of pupils.
28 - 12 = 16
So, there are 16 males in the class. Now, we know that the ratio of males : total is 16 : 28.
I hope this helps! Have a lovely day!! :)
(brainliest is much appreciated!!)
Answer:
give they guy brainliest
Step-by-step explanation:
because hes right
Two triangles make a parallelogram ABCD. The area of triangle BCD is 15 square meters. DC is the base of the parallelogram and is 6 meters long. What is the height?
Answer:
Area of a parallelogram is a region covered by a parallelogram in a two-dimensional plane. In Geometry, a parallelogram is a two-dimensional figure with four sides. It is a special case of the quadrilateral, where opposite sides are equal and parallel. The area of a parallelogram is the space enclosed within its four sides. Area is equal to the product of length and height of the parallelogram.
Step-by-step explanation:
Area = b × h Square units
A company makes wax candles in the shape of a rectangular prism. Each Candle is 6 inches long, 4 inches wide and 7 inches tall. how much wax will they need to make 336 candles
Answer:
168
Step-by-step explanation:
LxWxH
L=6
W=4
H=7
6x4=24
24x7=168
Answer:
63,168 square inches
Step-by-step explanation:
A=2(wl+hl+hw)
A= 2{(4*6)+(7*6)+(7*4)}
A= 188
188 square inches for each candle
188 square inches times 336 candles= 63,168 square inches in total.
Hope this helped <3 Brainliest? :)
