Two years ago there were 20 trailer homes on Elm Street with an average age of 18 years. At that time, a group of brand new trailer homes was then added to Elm Street. Today, the average age of all the trailer homes on Elm Street is 14 years. How many new trailer homes were added two years ago?
Answer:
The number of new trailer homes that were added two years ago is 10
Step-by-step explanation:
Given that
Twenty years ago there are 20 trailer homes having an average age of 18 years
Today, the average of the age is 14 years
We need to find out the number of new trailer homes that would be added two years ago
Since as of now 20 trailer homes would be an average of 20 years and we assume the new trailers be n that are 2 years old
So
20 + n
And, the sum of their ages i.e. (20) ( 20) + 2n
Now the following equation is used
[tex]\frac{400 + 2n}{20 + n} = 14[/tex]
400 + 2n = 14(20 + n)
400 + 2n = 280 + 14n
120 = 12n
n = 10
Hence, the number of new trailer homes that were added two years ago is 10
Answer:
it c
Step-by-step explanation:
Can someone please me
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The various forms of the expression use the relation ...
-5 1/4 = -5 + -1/4 = -(6 -3/4) = -6 +3/4
Of course, the minus sign in a product can be moved around according to the associative and commutative properties of multiplication.
(8)(-5 1/4)
= (8)(-5 + -1/4)
= 8(-5) +8(-1/4)
= 8(-5) -8(1/4)
= 8(-6 +3/4)
Attached is the non-equivalent expression.
36 POINTS! PLEASE HELP!!!! PLS-
Use ⊙N with KL≅JM.
What is JM?
a) 17
b) 30
C) 15
d) 8
Answer:
you correct answer should be 17
Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 5 hours of burning, a candle has a height of 21.5 centimeters. After 21 hours of burning, its height is 16.7 centimeters. What is the height of the candle after 15 hours?
Answer:
The height is 18.5cm
Step-by-step explanation:
Given
Let
[tex]y =height[/tex]
[tex]x = time[/tex]
So, we have:
[tex](x_1,y_1) = (5,21.5)[/tex]
[tex](x_2,y_2) = (21,16.7)[/tex]
Required
The height after 15 hours
First, calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
This gives:
[tex]m = \frac{16.7-21.5}{21-5}[/tex]
[tex]m = \frac{-4.8}{16}[/tex]
[tex]m = -0.3[/tex]
The linear equation is then calculated as:
[tex]y =m(x - x_1) + y_1[/tex]
Where
[tex]m = -0.3[/tex]
[tex](x_1,y_1) = (5,21.5)[/tex]
This gives:
[tex]y =-0.3(x - 5) + 21.5[/tex]
Open bracket
[tex]y =-0.3x + 1.5 + 21.5[/tex]
[tex]y =-0.3x + 23[/tex]
After 15 hours
[tex]x = 15[/tex]
[tex]y =-0.3*15 + 23[/tex]
[tex]y =-4.5 + 23[/tex]
[tex]y =18.5[/tex]
The height is 18.5cm
Please Answer!
Options: Parallelogram, Triangle, Trapezoid
Answer:
9 x 7 = 63 <---- Parallelogram
10 x 6.8 = 68, 68 divided by 2 = 34 <------- Triangle
13 + 15 = 28, 28 x 6 = 168, 168 divided by 2 = 84 <------- Trapezoid
The trapezoid has the greatest area.
Formula of trapezoid:
B1(base 1) + B2(base 2) x H (height) x 1/2 (basically dividing by 2)
Formula of triangle:
B(base) x H(height) x 1/2 (basically dividing by 2)
Formula of Parallelogram:
B(base) x H(height)
Awnser question and show your work if you can (i will give brainliest
Answer:
answer is -1.75
Step-by-step explanation:
[tex]y = 12 \\ y = - 4x + 5 \\ \\ \: \: \: \: 12 = - 4x + 5 \\ - 5 \: \: \: \: \: \: \: \: \: \: \: - 5 \\ \\ 7 = - 4x \\ \div - 4 \: \: \: \: on \: both \: sides \\ \\ - 1.75 = x[/tex]
70+Points please help
Answer:
Step-by-step explanation:
(x-1)(x+3)(x-9)(x+1)(x-9)(x+1)(x+1)
the above works out. but not sure what other choices you had in the answer
Answer:
(x-1)(x+3)(x-9)(x+1)(x-9)(x+1)(x+1)
Step-by-step explanation:
what would be the most appropriate domain for the functions
Answer:
Plz subscribe my Gaming channel Sameer Duos
Step-by-step explanation:
The correct answer is whole number
area of triangle with
width= 18cm
breadth=14cm
height=11cm
Answer:
99
Step-by-step explanation:
i have all the steps in the comments of ur question
You have 160 songs on your playlist. The probability of randomly choosing a rock song is 30%. How many of the songs on your playlist are not rock songs?
A. 48
B. 112
C. 30%
Answer:
Hello! Answer: B
Step-by-step explanation:
Because 112 is 70% of 160
The answer is A. 48
looked it up.
so lets say you randomly draw twice from the deck of cards D F H G H
What is the probability of drawing an F, then drawing an H Without replacing the first card?
Answer:
hshysywyyw6w6wywhwhwqhhwhwhh
Step-by-step explanation:
vejejjeejjejejejfjj237 68672_773837 8282×786766
bbdjdjejjefu8du uwj udej hbvv jjj un jududjdj8
What is the area of this triangle?
Answer:
1/2bxh (half a base times the height)
Step-by-step explanation:
Answer:
[tex]8[/tex]
Step-by-step explanation:
[tex]\frac{bh}{2}=A\\\\\frac{4\times4}{2}=A\\\\\frac{16}{2}=A\\\\8=A\\\\A=8[/tex]
Eighty-one million four hundred twelve thousand six hundred fifty
Answer:
81,412,650
Step-by-step explanation:
im not sure if this is what ur asking for??
2+2= whattttt someone help
Answer:
4
Step-by-step explanation:
count with your fingers
Please Help me with this question
WILL GIVE BRAINLIEST!!
Hazeline Allen's mortgage loan amount is $87.750. She financed her house
for 30 years with monthly payments of $725. At the end of 30 years, what
will be the total amount Hazeline will pay for the house? *
a $116,115
b $152,725
c $173,250
d $261,000
Answer:
Letter C
Step-by-step explanation:
trust me its right!
Which part of this graph shows a linear relationship?
Answer:
It would be D
Step-by-step explanation:
Which equation represents the graph ?
Answer:
The equation of the line is;
y + 4 = 3(x + 4)
Step-by-step explanation:
The general equation of a line is;
y = mx + b
where m is the slope and b is the y-intercept
To get the equation, let us look at the given intercepts
We have the intercepts at the point (0,5) and (-2,-1)
We have the slope of the line as follows;
m = (y2-y1)/(x2-x1) = (-1-5)/(-2-0) = -6/-2 = 3
So we have the equation as;
y = 3x + b
recall, we have the y-intercept as 5
so the complete equation is;
y = 3x + 5
Now, we can rewrite this as;
y+ 4 = 3(x + 3)
Twenty boxes of paper weights 460 pounds. What is the ratio of boxes to pounds?
Answer:
1:23
Step-by-step explanation:
20 / 460
= 1 / 23
= 1:23
Hi y’all can y’all help me please I’m not sure If it’s correct
Answer:
3rd option, you are correct
Step-by-step explanation:
A tangent is a straight line with only 1 point of contact to the circle.
This is the case at points R and Z
Answer:
3rd option just to reassure everyone
D + -4 = 12
how do i find d?
Answer: D=16
Add 4 to both sides
D=16
Answer:
Answer: 16
Step-by-step explanation:
Do 12 -(-4 to get D
12 -(-4 = 16
Una muestra de 800 gramos de avellana con cáscara tiene 500 gramos de grano. ¿cuántosgramos de grano habrá en 2,4 kg de avellana con cáscara?
Answer:
1500 grams of grain
Step-by-step explanation:
How many grams of grain will there be in 2.4 kg of shelled hazelnuts?
Step 1
Convert kg to g
1 kg = 1000g
2.4 g = x
Cross Multiply
x = 2.4 × 1000g = 2400g
Step 2
An 800 gram sample of shelled hazelnuts has 500 grams of grain.
Hence,
800g hazelnuts = 500 gram of grain
2400g hazelnuts = x
Cross Multiply
800x = 2400g × 500g
x = 2400g × 500g/800
x = 1500 grams of grain
During one month, a homeowner used 300 units of electricity and 120 units of gas for a total cost of $114.00. The next month, 290 units of electricity and 150 units of gas were used for a total cost of $115.30. Find the cost per unit of gas.
$_____
Answer:
$0.15Step-by-step explanation:
Cost of electricity = xCost of gas = yBased on the given, we have equations:
300x + 120y = 114290x + 150y = 115.30Multiply the first equation by 29 and the second one by 30, then subtract the first equation from the second:
30*(290x) - 29(300x) + 30(150y) - 29(120y) =30(115.3) - 29(114)4500y - 3480y = 1531020y = 153y = 153/1020y = 0.15The cost per unit of gas is $0.15
John can play 12 songs on the guitar and he
learns 1 new song each week. Aiden can play 4 songs.
but he learns 2 each week. How many weeks (w) will it
be before Aiden knows as many songs as John?
Answer:
8 weeks
Step-by-step explanation:
Let
w = number of weeks
John = 12 + w
Aiden = 4 + 2w
How many weeks (w) will it be before Aiden knows as many songs as John?
Equate both John and Aiden expression
John = Aiden
12 + w = 4 + 2w
Collect like terms
12 - 4 = 2w - w
8 = w
w = 8 weeks
It will take 8 weeks before Aiden knows as many songs as John
Notes for proportional relationships can you give me notes to write down lol
Answer:
Step-by-step explanation:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".
Please show the work as well 5TH GRADE MATH
Answer:
[tex]9450 {m}^{3}[/tex]
Step-by-step explanation:
Given ,
Length of the tank = 27m
Width of the tank = 35m
Depth of the tank = 10m
Therefore,
Volume of the tank = Length × Width × Depth
= 27m × 35m × 10m
[tex] = 9450 {m}^{3} (ans)[/tex]
Answer:
9450
Step-by-step explanation:
volume = length x width x height=27 x 35 x 10
A rectangular garden is 16 feet by 30 feet. Vivian wants to build a fence along the diagonal of the garden. How long does the fence need to be?
Answer:https://youtu.be/QZ_a8VXhiSc?t=187
Step-by-step explanation:https://youtu.be/BX0K5IfPMOA?t=144
In triangle ABC, the bisectors of angle A, angle B, and angle C cut the opposite sides into lengths a1, and
a2, b1, and b2, and c1 and c2, respectively, labeled in order counterclockwise around triangle ABC for
a1 = 5/3, a2 = 10/3,b1 = 15/4. Find the perimeter of triangle ABC.
Question
In triangle ABC, the bisectors of angle A, angle B, and angle C cut the opposite sides into lengths a1, and
a2, b1, and b2, and c1 and c2, respectively, labeled in order counterclockwise around triangle ABC for
a1 = 5/3, a2 = 10/3,b1 = 15/4. Find the perimeter of triangle ABC.
Step-by-step explanation:
please help me graph the equations y=3x and 6x+2y=12
also please tell me the coordinates
Answer:
The coordinates are x=1 y=3
Step-by-step explanation:
Find the missing probability.
P(A) = 0.4; P(B) = 0.7; P(A or B)
; P(A and B) = 0.3
Given:
[tex]P(A)=0.4, P(B)=0.7, P(A\text{ and }B)=0.3[/tex]
To find:
The value of [tex]P(A\text{ or }B)[/tex].
Solution:
We know that,
[tex]P(A\text{ and }B)=P(A\cap B)[/tex]
[tex]P(A\text{ or }B)=P(A\cup B)[/tex]
It means, we have [tex]P(A)=0.4, P(B)=0.7, P(A\cap B)=0.3[/tex] and we need to find the value of [tex]P(A\cup B)[/tex].
[tex]P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]
[tex]P(A\cup B)=0.4+0.7-0.3[/tex]
[tex]P(A\cup B)=1.1-0.3[/tex]
[tex]P(A\cup B)=0.8[/tex]
Therefore, the value of [tex]P(A\text{ or }B)[/tex] is 0.8.