Answer:
y=-3.6+3x
Step-by-step explanation:
A rectangular park 40 yards wide was redesigned, and a path 1 yard wide was built around it. How long was the park before if, after the path was built, its area became 4200 square yards?
Answer:
98 yards
Step-by-step explanation:
The new width is 40 yds + 2 yds = 42 yds.
Area = L × W
4200 square yds = L × 42 yds
L = 4200 yds ÷ 42 yds = 100 yds
The new length is 100 yds.
The old length = the new length - the width of the path × 2 = 100 yds - 1 yd × 2 = 100 yds - 2 yds = 98 yds.
The length of the park was 98 yds, before the path was built.
Answer:
98 yards
Step-by-step explanation:
First we will list our values
new w: 42
old w: 40
old l: x
new l: x+2
we are adding 2 to the new values as there is 1 yard on either side
now we will find the new area:
42 * (x+2) =4200
42x+84=4200
42x=4116
x=98
help !! will mark brainliest
Answer:
The answer is b your welcome
The volume of a cube with sides of length s is given by V = s^3. Find the rate of change of the volume with respect to s when s = 8 centimeters.
Answer:
[tex]V'(8)=192\text{ cm}^2[/tex]
Step-by-step explanation:
We have the volume of a cylinder:
[tex]V=s^3[/tex]
To find the rate of change of the volume with respect to s, we will take the derivative of both sides with respect to s. So:
[tex]\frac{d}{ds}[V]=\frac{d}{ds}[s^3][/tex]
Differentiate. Use the power rule:
[tex]V'(s)=3s^2[/tex]
So, to find the rate of change of the volume when s is 8 centimeters, substitute 8 for s:
[tex]V'(8)=3(8)^2[/tex]
Evaluate:
[tex]V'(8)=192\text{ cm}^2[/tex]
7s+5c=181.40
9s+1c=132.80
Answer:
s=12.7
c=18.5
hope this helps :)
Which relation is also a function?
{(-1, 3), (0, 2), (3, -1), (3, 2)} {(2,-4), (2,-2), (2, 1), (2, 3)}
{(0, 3), (1, 2), (1, 4), (2.1)}
{(-4,-3), (0.-3). (1, -3), (4, -3)}
Answer:
{(-4,-3), (0, -3,) (1, -3), and (4,-3)}
Step-by-step explanation:
There can only be one y- output for each x-input. Every other answer is a relation because there are multiple y-values for an x-value.
Answer:
The second one.
Step-by-step explanation:
A function can have two of the same inputs, but not two of the same outputs.
In the first one, the output 2 is found more than once.
In the third one, the output -3, is also found more than once.
The second one has completely unique numbers for both the input and output.
what is 300 × = 120,000
there is nothing between the × and = cuz its asking me 300× what = 120,000.
The answer is 400
First, you must flip the equation.
[tex]120000[/tex] ÷ [tex]300[/tex] = ?
Then, you must simplify the equation.
[tex]1200[/tex] ÷ [tex]3[/tex] = ?
Finally, divide the two terms.
[tex]1200[/tex] ÷ [tex]3[/tex] = 400
Part A: If (6^2)^x = 1, what is the value of x? Explain your answer.
Part B: If (6^0)^x = 1, what are the possible values of x? Explain your answer.
Step-by-step explanation:
A.
[tex](6^2)^x=1\\\\36^x=1\\\\36^x=36^0\Rightarrow x=0[/tex]
Every number to the power of 0 gives us 1
[tex]a^0=1\ \text{for}\ a\in\mathbb{R}[/tex]
B.
[tex](6^0)^x=1\\\\1^x=1\\\\x\in\mathbb{R}[/tex]
1 to the any power gives us 1.
[tex]1^n=1\ \text{for}\ n\in\mathbb{R}[/tex]
A popular band is trying to raise at least $20,000 for charity by holding multiple concerts at a park. It plans to sell tickets at $25 each. For each 2-hour concert, the band would need to pay the park $1,250 in fees for security, cleaning, and traffic services
The complete question is;
A popular band is trying to raise at least $20,000 for charity by holding multiple concerts at a park. It plans to sell tickets at $25 each. For each 2-hour concert, the band would need to pay the park $1,250 in fees for security, cleaning, and traffic services.
The band needs to find the combinations of number of tickets sold, t, and number of concerts held, c, that would allow it to reach its fundraising goal.
Write an inequality to represent the constraints in this situation.
Answer:
(25t)c - 1250 ≥ $20,000
Step-by-step explanation:
We are told the band is trying to raise at least $20,000.
It's trying to sell tickets at $25 each.
We are told that they pay the park $1,250 in fees for security, cleaning, and traffic services.
Now, expenses for each concert is $1,250.
Now, we are told that the number of tickets sold is t, and number of concerts held, c.
Thus, total amount that can be realized for "c" number of concerts is;
A = (25t)c
Now, expenses for each concert is $1,250.
Thus, total profit for "c" number of concerts is;
P = (25t)c - 1250
Now, they are trying to raise at least $20,000. Meaning greater than or equal to $20,000.
Thus, the profit must be greater than or equal to $20,000.
Thus, the inequality is;
(25t)c - 1250 ≥ $20,000
Bennett has been practicing the cello for an hour each day. 3/4of the hour, he spends practicing musical pieces in preparation for his upcoming orchestra concert. He spends the other 1/4of the hour practicing scales. If he spends 2/5of his practice time on musical pieces playing one of the orchestra pieces, Excerpts from Pirates of the Caribbean, how much of the hour does he spend playing that music?
Answer:
[tex]Orchestral\ Time = \frac{3}{10}\ hour[/tex]
Step-by-step explanation:
Given
[tex]Time = 1\ hour[/tex]
[tex]Musical\ Pieces = \frac{3}{4}\ hour[/tex]
[tex]Practicing\ Sales = \frac{1}{4}\ hour[/tex]
Orchestral = [tex]\frac{2}{5}[/tex] of music practice time
Required
Determine time spent on orchestral pieces
From the given parameters, we have:
Orchestral = [tex]\frac{2}{5}[/tex] of music practice time
Substitute [tex]\frac{3}{4}\ hour[/tex] for music practice time.
So, we have:
[tex]Orchestral\ Time = \frac{2}{5} * \frac{3}{4}\ hour[/tex]
[tex]Orchestral\ Time = \frac{1}{5} * \frac{3}{2}\ hour[/tex]
[tex]Orchestral\ Time = \frac{3}{10}\ hour[/tex]
Rewrite equation y=-2/3x+4 in standard form
Answer: 2x+3y=12 I believe
Which is NOT true?
A
15 = 15
B
15 = 18 - 3
C
15 + 3 = 11 + 7
D
15 + 3 = 15 + 13
Answer:
D 15 +3=15+13
Step-by-step explanation:
Expression 15 + 3 = 15 + 13 is not true because left hand side is not equal to right hand side. Option D is correct.
Given that,
From options
A. 15 = 15 B. 15 = 18 - 3 C. 15 + 3 = 11 + 7 D.15 + 3 = 15 + 13
The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.
In mathematics, it deals with number of operations according to the statements
In the question is to be determined which is not true, by analyzing that LHS and RHS of the expression should be equal
A. 15 = 15
LHS = RHS
B. 15 = 18 - 3
LHS = RHS
C. 15 + 3 = 11 + 7
LHs = RHS
D.15 + 3 = 15 + 13
18 ≠ 28
LHS ≠ RHS
Thus, 15 + 3 = 15 + 13 is not true. Option D is correct.
Learn more about simplification here: https://brainly.com/question/12501526
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In the past month, Kaitlin rented 3 video games and 6 DVDs. The rental price for each video game was $2.60. The rental price for each DVD was $3.30. What is
the total amount that Kaitlin spent on video game and DVD rentals in the past month?
Kaitlin rented 3 video games and 6 dvds.
2.60 x 3 = 7.50 (dollars and cents)
3.30 x 6 = 19.80 (dollars and cents)
add them together to get the total cost in the past month.
(to find the answer you know the price for a single video game/DVD so what you do is multiply those prices times how much they bought)
ex: $2.60 x 3 <-- the amount of games she bought.
i hope this helps you.
Answer:
Kaitlin spent $27.60 on video games and DVDs in the past month.
Step-by-step explanation:
We know the price of one video game, one DVD, and the amount that was rented in the past month.
To find the total cost of the video games, multiply:
$2.60 x 3
= $7.80 spent on video games in the past month
To find the total cost of the DVDs, multiply:
$3.30 x 6
= $19.80 spent on DVDs in the past month
To find the total cost, add the total cost of video games and DVDs together:
$7.80 + $19.80 = $27.60
Conclusion: Kaitlin spent $27.60 in the past month on video games and DVDs.
The perimeter of a rectangular field is 358 m.
If the width of the field is 84 m, what is its length?
Answer:
95m
Step-by-step explanation:
So to work this out you times 84 by 2 which is 168 (84×2) and then take away 168 from 358 which is 190 (358-168). Then divide 190 by 2 which is 95 (which is the the length/Answer)
(84+84+95+95=358)
Bus A and Bus B leave the bus depot at 3 pm.
Bus A takes 25 minutes to complete its route once and bus B takes 30 minutes to complete its route once.
If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Assume the buses have no breaks in between routes.
Give your answer as a 12-hour clock time.
im assuming that the buss only repeat the rout once? so in total they do 2 routes?
bus a at 3:50 and bus b at 4:00
i need help with fractions :(
Answer:
x = 0, Need the steps?
STEPS:
9x - 7 = -7 (Original Problem)
9x = 0 (Add 7 to both sides)
x = 0 (Divide both sides by 9)
Answer:
Step-by-step explanation:
(3) 9x-7=7
First multiply 3 by 9x to get 27x
27x-7=7
Then add 7 to both sides
27x-7+7=7+7
27x=14
27x/27=14/27
x=14/27
One company buys a new bulldozer for $130800. The company depreciates the bulldozer linearly over its useful life of 20 years. It salvage value at the end of 20 years is $19800. Express the value of the Bulldozer, V, as a function of how many years old it is, t. Make sure to use function notation
Given :
One company buys a new bulldozer for $130800.
The company depreciates the bulldozer linearly over its useful life of 20 years. It salvage value at the end of 20 years is $19800.
To Find :
The value of the Bulldozer, V, as a function of how many years old it is, t.
Solution :
Let, the equation is :
V = mt + c .....1)
For, t = 0 years
V = m(0) +c = $130800.00
c = $130800.00
For, t = 20 years
V = 20m + c = $19800.00
Putting value of c in above equation, we get :
20m + $130800.00 = $19800.00
m = (19800.00-130800.00 )÷20
m = -5550
Putting value of m and c in equation 1, we get :
V = -5550t + 130800
Hence, this is the required solution.
You have prizes to reveal! Go to your game board.
A hummingbird lives in a nest that is 12 feet high in a tree. The hummingbird flies 13 feet to
get from its nest to a flower on the ground. How far is the flower from the base of the tree?
Answer:
1 foot?
Step-by-step explanation:
You subtract 13 from 12 to get the base divider.
1. 1 and 22 are vertical angles. If m1 =
(5x + 12) and m2 = (6x - 11), find m1.
Answer:
127 degrees
Step-by-step explanation:
The price of an item has risen to $279 today yesterday it was $180 find the percentage increase
Answer:
99%
Step-by-step explanation:
The percentage increase of the given item is 55.56%.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
For example, If Misha obtained a score of 67% on her exam, that corresponds to 67 out of 100. It is expressed as 67/100 in fractional form and as 67:100 in ratio form.
The price of an item has increased to $279 today yesterday it was $180
The percentage increase can be calculated by:
(Current price - Original price) / Original price x 100 = Percentage increase
As per the question, we have to substitute the values to get:
⇒ (279 - 180) / 180 x 100 = 55.56%
Therefore the percentage increase is 55.56%.
Learn more about the percentages here:
brainly.com/question/24159063
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What is the slope of a line that is parallel to the graph of 2x+3y=5?
Answer:
2/3
Step-by-step explanation:
I checked on desmos.
here's the image for the question I have:
Answer:
c
Step-by-step explanation:
Answer:
C::10:15
Step-by-step explanation:
It is C because he had 15 hours of first aid and 10 hours of cpr and the question says CPR TO FIRST AID therefore the number of CPR training hours will come before the number of First Aid training hours. If it would have asked you to reduce the ratio it would have been 2:3 because you would have had to divide both sides by 5 resulting in the smallest possible ratio.
HOPE THIS HELPS YOU OUT!
PLEASE ANSWER Quickly!
Find the equation of the line
Y= __x + __
Answer:
y= -x+5
Step-by-step explanation:
→first you need to identify 2 points. I'm using (5,0) and (0,5)
→second you need to find the slope using y2-y1/x2-x1 as your formula
5-0/0-5= 5/-5=-1
→then you need to use y-y1=m(x-x1) formula
y-0=-1(x-5)
(distribute the -1)
y-0= -1x+5 (+5 because a negative times a negative is a positive)
(combine like terms)
y= -1x+5
→once you solve you get y= -x+5
The elevator that takes passengers from the lobby of the John Hancock Centre in
Chicago to the observation level travels 300 feet in 5 seconds. The observation level
is located on the 100th floor, at 1200 feet above the ground. Find the time it takes
the elevator to travel from the lobby to the observation level. (4)
Answer:
20 seconds
Step-by-step explanation:
s = Distance traveled by elevator = 300 ft
t = Time taken = 5 seconds
Velocity is given by
[tex]v=\dfrac{s}{t}\\\Rightarrow v=\dfrac{300}{5}\\\Rightarrow v=60\ \text{ft/s}[/tex]
Distance to the observation level from the lobby = 1200 ft
Time taken is given by
[tex]t=\dfrac{1200}{60}\\\Rightarrow t=20\ \text{s}[/tex]
Time taken to reach the observation level from the lobby is 20 s.
+54- -75 what the answer
Answer:
-21
Step-by-step explanation:
positive 54 decreased negative 75. The answer is -21. why? Because the negative variables is higher than the positive variable in the given.
Answer:
129
Step-by-step explanation:
+54- -75
54+75=129
When you are subtracting 54- -75, the symbols will automatically change to postives.
You could also use the method:
Keep, change, change
54 + +75
Consider the function rule: y = 9x – 7
What is the value of y when x=4?
What is the value
If 3x - 8 = 9x+5/2, what is the value of x+ 7?
See attachment for math work and answer.
What is the range of the following graph?
Answer: 6
Step-by-step explanation: 8 - 2 = (6) Range is the difference between the highest and lowest number just for future references. Hope this helped! :)
Answer: i think is 8 also that person already explain
Step-by-step explanation: have a nice day
What is the value of X?
A.11
B.9
C.7
D.6
Answer:
x=6
Step-by-step explanation:
10x+21x-6=180 ( straight angle)
31x=180+6
x=186/31
x=6
If using the method of completing the square to solve the quadratic equation x^2-15x-10=0, which number would have to be added to complete the square
Answer:
[tex]\bold{\dfrac{225}4}[/tex]Step-by-step explanation:
[tex]x^2-15x-10=0\\\\x^2-2\cdot x\cdot\frac{15}2+(\frac{15}2)^2-(\frac{15}2)^2-10=0\\\\(x-\frac{15}2)^2-\frac{225}4-10=0[/tex]
So to complete the square we need to add (and subtract) the number [tex]\frac{225}4[/tex]
Plz Help Ill give brainliest
What is the midpoint of the line segment with the given endpoints?
(−7, 3) and (13, −9)
Answer:
3, -3
Step-by-step explanation: