Answer:
1400ft²
Step-by-step explanation:
Given
Room Dimension: 20 ft by 25 ft by 10 ft
Where Length = 20 ft
Width = 25 ft
Height = 10 ft
Required
Surface area of painted walls and ceiling
We'll assume that the room is rectangular in shape and all 4 sides are covered.
This means that Mickey will paint 4 walls and 1 ceiling.
The dimension of the 2 of the 4 walls is as follows;
20ft by 10ft, 25ft by 10ft,
Because opposite sides of a rectangle are equal, the dimension of the remaining 2 walls is: 20ft by 10ft, 25ft by 10ft
Calculating the area of the 4 walls;
[tex]Area = 20ft * 10ft + 25ft * 10ft + 20ft * 10ft + 25ft * 10ft[/tex]
[tex]Area = 200ft^2 + 250ft^2 + 200ft^2 + 250ft^2[/tex]
[tex]Area = 900ft^2[/tex]
The dimension of the ceiling is as follows:
20ft by 25ft
Calculating the area of the ceiling
[tex]Area = 20ft * 25ft[/tex]
[tex]Area = 500ft^2[/tex]
So, the area Micky will cover = Area of 4 walls + Area of ceiling
Total Surface Area [tex]= 900ft^2 +500ft^2[/tex]
Total Surface Area = [tex]1400ft^2[/tex]
Hence, Micky will cover 1400ft²
Solve for x. Round your answer to the nearest thousandth. a. 8.691 c. 6.474 b. 6.252 d. 12.956
Answer:
The answer is B 6.252
Step-by-step explanation:
David wants to hang a mirror in his room. The mirror and frame must have an area of 8 square feet. The mirror is 2 feet wide and 3 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?
Answer:
4x^2+10x-2=0
Step-by-step explanation:
So the total area of mirror: 2*3 = 6 ft sq
8-6 = 2 ft sq is the area of the frame
x is the thickness of the frame
so we have (2*x)*2+(3*x)*2+x*x*4= 2
4x+6x+4x^2=2
-> 4x^2+10x-2=0
Jennifer can do 8 math problems in 20 minutes. How long would it take her to complete a 10 question test at the same rate?
Answer:
25 minutes
Step-by-step explanation: 20 divided by 8 equals 2.5 so she take 2 and a half minutes per question. 2.5 plus 2.5 equals 5 so just add five minutes on her original time. 25 minutes
Answer:
25 minutes
Step-by-step explanation:
→You can set this problem up as a proportion, like so:
[tex]\frac{8}{10} =\frac{20}{x}[/tex]
→Cross multiply:
[tex]\frac{8x}{200}[/tex]
→Divide 200 by 8:
x = 25
A mail carrier can deliver mail to 36 houses in 30 minutes. Mark wants to determine how many houses the carrier can deliver mail to in 7.5 minutes at this rate. He thinks that to find the answer, he should do the following. 1. First divide 36 houses by 30 minutes to find a unit rate of 1.2 houses per minute. 2. Then multiply 1.2 houses per minute by 7.5 minutes to get 9 houses. Which statement is correct? Mark’s method is wrong, because it is impossible to deliver mail to 1.2 houses in a minute. The carrier can only deliver to a whole number of houses. Mark’s method is wrong, because it is impossible to deliver mail for 7.5 minutes. The carrier can only deliver mail for a whole number of minutes. Mark’s method is correct, because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute. Mark’s method is correct, because it is possible to deliver mail for 7.5 minutes; 7.5 represents the unit rate of 7.5 minutes per house.
Answer:
Mark’s method is correct, because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute.
Step-by-step explanation:
Let's rule out the options given one by one.
Option 1: Mark’s method is wrong, because it is impossible to deliver mail to 1.2 houses in a minute. The carrier can only deliver to a whole number of houses.
This is not true, because 1.2 is a rate, it just means that the carrier can finish 1 house in a minute, and also have time to get started delivering to the second house. The total number of houses has to be a whole number, but the rate doesn't.
Option 2: Mark’s method is wrong, because it is impossible to deliver mail for 7.5 minutes. The carrier can only deliver mail for a whole number of minutes.
This option is also incorrect. Delivering mail for 7.5 minutes just means 7 minutes and 30 seconds, which is definitely possible.
Option 3: Mark’s method is correct, because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute.
This option is correct. 1.2 is the rate of which the carrier delivers mail.
Option 4: Mark’s method is correct, because it is possible to deliver mail for 7.5 minutes; 7.5 represents the unit rate of 7.5 minutes per house.
This option is also incorrect. Although it is possible to deliver mail for 7.5 minutes, it is not the unit rate, it is the total amount of time it would take.
Answer:
Mark’s method is correct, because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute.
Step-by-step explanation:
Prachi, the office manager at a private practice, identified several quantitative relationships surrounding a patient's visit and wait time and modeled them with the following functions:
Answer: W(P(t))
Step-by-step explanation: look at the letter infront of the ()
The waiting time for a patient is given by the expression w(p(t)).
What is a quantitative relationships?The relationship between objects (or objects' components) in terms of their relative number, size, or degree. ratio. two quantities' respective magnitudes (usually expressed as a quotient).A statement function is referred to by utilizing its name as an operand in an expression together with any parameters it has. Voici how execution is carried out: Actual arguments are assessed if they are expressions. There are comparable fake arguments and real arguments.A resume's summary statement can assist in guiding the reader from your present training and experience to the kind of job you are looking for. Your summary statement should be three to five lines long and should highlight your qualifications for the position you're applying for as well as the industry.To learn more about quantitative relationships refer to:
https://brainly.com/question/25316214
#SPJ2
[tex] \sqrt[4]16 - 6 \sqrt[3]343 + 18 \sqrt[5]243 - \sqrt{196} [/tex]
Answer:
Step-by-step explanation:
= 2- 6*7 + 18*3 - 14
=2-42+54-14
=2 + 12- 14
= 14-14
=0
Answer:
the ans is 0
Step-by-step explanation:
=2- 6*7 + 18*3 - 14
=2-42+54-14
=2 + 12- 14
= 14-14
=0
Find the value of x for which r || S.
A) 44
B) 10
C) Can't be determined.
D) 14
Answer:
x=44
Step-by-step explanation:
For the two lines to be parallel, the two angles have to add to 180 degrees
45+3x+3 =180
Combine like terms
3x+48 = 180
Subtract 48 from each side
3x+48-48=180-48
3x=132
Divide each side by 3
3x/3 = 132/3
x =44
Which interval for the graphed function contains the local
minimum?
O f-1,1]
(1.2)
O(-3,-1)
O (-5, -3)
Please help me answer.
Answer:
Slope-intercept: y=3/4x+1
Sorry idk how to do general form
Step-by-step explanation:
Slope-intercept form is y=mx+b, m being the slope, b being the y-intercept.
The slope of this graph is 3/4, and the y-intercept is 1.
Answer:
Slope-intercept form: [tex]y=\frac{3}{4}x+1[/tex]
General form: [tex]-3/4x+y-1[/tex]
Step-by-step explanation:
Firstly, to get the slope intercept form, we need to find the slope and the y-intercept. To find the slope, we can use the slope formula and calculate the "rise over run" for these two points. The coordinate of the first point is (0, 1) , and the coordinate of the second point is (4, 4). If x1 = 0, x2 = 4, y1 = 1, and y2 = 4, we can plug those values into the slope formula that I mentioned earlier, which is [tex]\frac{y_{2}-y_{1}}{x_{2}-{x_{1}}}[/tex]. So, after we plug in those values we get in the two points, we can see that [tex]\frac{4-1}{4-0}[/tex], so the slope is [tex]\frac{3}{4}[/tex]. The x moves right 4 times and the y goes up 3 times. Finally, the y-intercept value is 1 because when x = 0, y is 1, and the point we used for the slope formula (0, 1) proves that. For the slope-intercept form, [tex]mx+b[/tex], where m is the slope and b is the y-intercept, m is [tex]\frac{3}{4}[/tex] and b is 1. So, our final answer for the slope-intercept form is [tex]y=\frac{3}{4}x+1[/tex]. Now we can find the general form. To do this, we must get one side of the equation to equal 0. Using our slope-intercept equation, [tex]y=\frac{3}{4}x+1[/tex], we can subtract y from both sides to get 0 on the left, like this: [tex]0=\frac{3}{4}x+1-y[/tex]. Then, we can rearrange the variables to general form: [tex]0=\frac{3}{4}x-y+1\\[/tex]. That is our general form answer. To recap, to find the slope, find the coordinates of the two points, and then plug in those points into the slope formula to find the steepness of the line. Then, add the y intercept that we can see on the graph. For general form, subtract y from both sides and rearrange the equation. Hope this helps!
C is the midpoint of AD. B is the midpoint of AC. BC = 14. What is
the length of BD?
Answer:
Length of segment BD = 42 units
Step-by-step explanation:
Since C is the midpoint of AB,
Then segment AC = segment CD
Since B is the midpoint of BC,
Then the length of segment AB = Length of segment BC = 14 units
Length of AC = 2 × (14)
= 28 units
Length of AC = length of CD = 28 units
Length of segment BD = Length of BC + length of CD
= 14 + 28
= 42 units
Therefore, length of segment BD is 42 units.
Find the percent change if 70 is changed by 12
Answer:
[tex]82.8571428571[/tex] %
Solution:
[tex]70*x/100=12[/tex]
[tex]x/100=12/70[/tex]
[tex]70x=1200[/tex]
[tex]x=1200/70[/tex]
[tex]x=17.1428571429[/tex]
[tex]100-17.1428571429=82.8571428571[/tex]
The formula f(x + 1) = Two-thirds(f(x)) defines a geometric sequence where f(1) = 18. Which explicit formula can be used to model the same sequence?
Answer:
The explicit formula is Tn = 18[(2/3)^(n-1)]
Where n is the term we are looking for
Step-by-step explanation:
Here, we want to get an explicit formula to model the equation
Now, F(2) = 2/3 * f1 = 2/3 * 18 = 12
F(3) = 2/3 * f(2) = 2/3 * 12 = 8
F(4) = 2/3 * F(3) = 2/3 * 8 = 16/3
F(5) = 2/3 * 16/3 = 32/9
Thus, seeing how the equations are progressing, we can definitely see a pattern.
That is Tn = (2/3)^(n-1)(18)
Answer:
Answer in image.
Step-by-step explanation:
What numbers are not square or even?
Answer:
Search Results
Featured snippet from the web
Odd and even square numbers
As all even square numbers are divisible by 4, the even numbers of the form 4n + 2 are not square numbers. As all odd square numbers are of the form 4n + 1, the odd numbers of the form 4n + 3 are not square numbers.
Step-by-step explanation:
A swimming pool is being drained at a constant rate of 800 gallons per hour. After 5 hours of draining, 11,000 gallons of water remain in the pool.
Answer:
Step-by-step explanation:
In 5th hour remainder is 11,000 gal
Therefore at 4th hour 11,800 gal
At 3rd hour 12,600 gal
At 2nd hour 13,400 gal
at 1st hour 14,200 gal
Part B
At the beginning there is 15,000 gal
Before the draining began, the pool contained 14,200 gallons of water.
The water is being drained at a rate of 800 gallons per hour.
The function f(t) = 14,200 - (800t - 800)
The graph of which function passes through the point (0,2/pi)?
y=cos-1(x)
y=csc-1(x)
y=sec-1(x)
y=sin-1(x)
thanks!
Answer:
[tex]y=sin^{-1}x[/tex]
Step-by-step explanation:
Given: A point is [tex](0,2\pi)[/tex]
To find: function whose graph passes through the given point
Solution:
A trigonometry explains the relationship between the sides and the angles of the triangle.
The inverse trigonometric functions [tex]sin^{-1}x\,,\,cos^{-1}x\,,\,tan^{-1}x[/tex] help to find the value of an unknown angle of a right triangle when length of two sides are given.
Consider [tex]\sin y=x[/tex]
Put [tex]y=2\pi[/tex]
[tex]sin 2\pi=0[/tex]
So, point [tex](0,2\pi)[/tex] satisfies the function [tex]y=sin^{-1}x[/tex]
Therefore, graph of function [tex]y=sin^{-1}x[/tex] passes through [tex](0,2\pi)[/tex]
Answer:it’s A y=cos^1(x)
Step-by-step explanation:
Edge 2020
PLEASE HELP me solve algebraically. J) 4(1-2j) = 7(2j + 10) K) 4/3h=12 L) n/5= 2 + n/3 M) d/4 - 2/3 = 2 N= 7= -2 (-3 - x)
Answer:
J ) j = - 3,
K ) h = 9,
M ) d = - 24,
N ) x = 1 / 2
Step-by-step explanation:
J )
[tex]4(1-2j) = 7(2j + 10),\\4-8j=14j+70,\\-8j=14j+66,\\\\-22j=66,\\j = - 3,\\\\Solution, j = - 3[/tex]
I applied the distributive property, resulting in the second step. Afterwards I subtracted 4 from either side of the equation, received - 22j = 66 after combining like terms, and divided - 22 on either side to get j = -3.
K )
[tex]4 / 3h = 12,\\4h = 36,\\h = 36 / 4 = 9\\\\Solution, h = 9[/tex]
Multiplying each end of the equation by 3 resulted in the simplified expression 4h = 36. Dividing either side by 4, I got h = 9.
M )
[tex]d / 4 - d / 3 = 2,\\3d - 4d = 24,\\- d = 24,\\\\Solution, d = - 24[/tex]
Taking the LCM of 4 and 3, I got 12, multiplying either side by 12 / 12. Combining like terms and dividing - 1 on either side of the equation - d = 24, I received d = - 24.
N )
[tex]7 = - 2 * ( - 3 - x ),\\- 3 - x = - 7 / 2,\\- x = - 1 / 2,\\\\Solution, x = 1 / 2[/tex]
After dividing the first equation by - 2 on each end, I received a simplified equation that, by adding 3 on it's part, got x to be = 1 / 2
Carl wants to put up a glow-in-the-dark sticker display on his bedroom ceiling. He needs a gallon of black paint which costs $12. The stickers cost $18 per package and he wants to buy 2 packages. Which of the following is a good estimation of how much change Carl will get back if he gives the cashier $60?
Answer:3a ?
Step-by-step explanation:
Answer:
✈️?
Step-by-step explanation:
All corresponding sides are proportional (same ratio) in similar figures. True or False
Answer:
True
Step-by-step explanation:
The corresponding sides are proportional if they have the same ratio. The statement is true.
Answer:
true
Step-by-step explanation:
increase as a percent:
The price of a car increased from $32 000 to $36 000.
Answer:
12.5% increase
Step-by-step explanation:
Take the new price minus the original
36000-32000 = 4000
Divide by the original
4000/32000 = .125
Multiply by 100%
.125*100%
12.5% increase
Answer:
12.5%
Step-by-step explanation:
There is an 1/8 increase and 1/8 as a percent is 12/5%
49 - 3 + 9 times 8 divided by 2
Answer:
82
Step-by-step explanation:
49 - 3 + 9 times 8 divided by 2
Answer:
82
Step-by-step explanation:
49 -3 + 9*8/2
PEMDAS
Multiply and divide from left to right
49 -3 + 72/2
49 -3 + 36
Add and subtract from left to right
46 +36
82
Given: y // z Prove: measure of angle 5 plus measure of angle 2 plus measure of angle 6 equals 180 degrees
Step-by-step explanation:
Given: y // z Prove: measure of angle 5 plus measure of angle 2 plus measure of angle 6 equals 180 degrees
Hannah babysits to earn money. She charges $6.50 to babysit for the first hour. She charges $5.75 for each additional hour. Let "n" equal the number of hours after the first hour. Which expression represents how much Hannah charges? *
There are 15 students going on a field trip. If 3/5 of them pack there lunches, how many students pack their lunches?
Answer:
9 pack their lunches
Step-by-step explanation:
Take the number of students and multiply by the fraction that pack their lunches
15 *3/5 =
15/5 * 3
3*3
9
Find the volume of this prism.
pls ;(
Answer:
Go to google and write how to find a volume of a prism
Step-by-step explanation:
By the way what i am going to say is a small tip you can use
Go to google write ( quizlet) and you can write the name of your book the volume and the chapter rand the lesson believe me you will find what you want
If you didn't find the answers you can talk with me so i can give other programs because i have want to help you
please help! find the area is the parallelogram.
Answer:
24cm^2
Step-by-step explanation:
3cm times 8cm = 24cm^2
Answer:
A=b*h
Step-by-step explanation:
base=5
height=3
5*3=15
15 is the answer
Quinn returned home one summer's day to find it sweat-inducingly hot! He turned the air conditioner on and fell asleep. The room's temperature decreased by 0.5^\circ0.5
∘
0, point, 5, degrees Celsius each minute, and Quinn woke up 606060 minutes later when it was 10^\circ10
∘
10, degrees Celsius.
Answer:
[tex]f(x)=-0.5x+40[/tex]
Step-by-step explanation:
To solve this problem, we need to find the linear function. We know that the constant rate of change is -0.5° Celsius per minute. Also, after 60 minutes the temperature was 10° Celsius. So, we have a one point and the slope of the linear function, let's use the point-slope formula
[tex]y-y_{1} =m(x-x_{1} )\\y-10=-0.5(x-60)\\y=-0.5x+30+10\\y=-0.5x+40[/tex]
Where the y-intercept is at (0, 40).
Now, we have two points to graph the relation between minutes and Celsius degrees.
Therefore, the room's temperature as a function of time is
[tex]f(x)=-0.5x+40[/tex]
Its graph is attached.
Answer:
Put one of the dots 2 spaces obove 60 and the other dot 3 spaces above 50.
Step-by-step explanation:
Lauren's birthday is in January. Determine the approximate probability that her brother, Adam, also has a birthday in January.
A) 1/2
b) 1/6
c) 1/12
d) 1/144
Please helpp!!
Solve the system using elimination.
-9x - 4y = 1
3x + 3y = 3
([?], [])
Step-by-step explanation:
-9x-4y=1....eq1
3x+3y=3.....eq2
multiply eq2 by 3
to get
9x+9y=9....eq3
add eq1 and 3
0+5y=10
5y=10
divide both sides by 5
y=2
substitute y=2 in to eq1
-9x-4(2)=1
-9x-8=1
grouping of like terms
-9x=1+8
-9x=9
divide both sides by -9
x= -1
now the answer is
x= -1, y=2
If there are 16 ounces in a pound. How many pounds are in 24 ounces?
Answer: 1.5 pounds
Step-by-step explanation: 16 oz(one pound) + 8oz(half a pound)= 24oz
Emily has a bag of 20 fruit flavoured sweets 7 of the sweets are strawberry flavoured 11 are lime flavour and two are lemon flavour Emily takes a random sweet from the bag write down the probability that emily took the orange flavour
ANSWER: 0
IT IS BECAUSE THERE IS NO ORANGE FLAVOURED SWEET.
= 0/20 = 0
