A water tank holds 944 gallons but is leaking at a rate of 5 gallons per week. A second water tank holds 1,180 gallons but is leaking at a rate of 9 gallons per week. After how many weeks will the amount of water in the two tanks be the same?
Answer:
59
Step-by-step explanation:
The equation is
944 - 5x = 1180 - 9x
Notice what is being said. You start with 944 gallons and take off 5 per week
You also start with 1180 gallons and take on 9 per week.
You want to know when the two are equal. The second tank is larger, but it leaks more. That's what's going to bring about equality.
Add 9x to both sides
944 - 5x + 9x = 1180
944 + 4x = 1180
Subtract 944 from both sides.
4x = 1180 - 944
4x = 236
Divide by 4
x = 236/4
x = 59 weeks
30 POINTS!!!
The illustration below shows the graph of y as a function of x.
Complete the sentences below based on the graph of the function
Answer all of the questions please (A screenshot would help best but anything with all answers is fine) I haven missed a single question yet and hope to continue this streak please help!
Identify each expression that represents the slope of a tangent to the curve y=1/x+1 at any point (x,y) .
Answer:
Slope of a tangent to the curve = [tex]f'(x) = \frac{-1 }{(x+1)^{2} }[/tex]
Step-by-step explanation:
Given - y = 1/x+1
To find - Identify each expression that represents the slope of a tangent to the curve y=1/x+1 at any point (x,y) .
Proof -
We know that,
Slope of tangent line = f'(x) = [tex]\lim_{h \to 0} \frac{f(x+h) - f(x)}{h}[/tex]
We have,
f(x) = y = [tex]\frac{1}{x+1}[/tex]
So,
f(x+h) = [tex]\frac{1}{x+h+1}[/tex]
Now,
Slope = f'(x)
And
[tex]f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h} \\= \lim_{h \to 0} \frac{\frac{1}{x+h+1} - \frac{1}{x+1} }{h}\\= \lim_{h \to 0} \frac{x+1 - (x+h+1) }{h(x+1)(x+h+1)}\\= \lim_{h \to 0} \frac{x +1 - x-h-1 }{h(x+1)(x+h+1)}\\= \lim_{h \to 0} \frac{-h }{h(x+1)(x+h+1)}\\= \lim_{h \to 0} \frac{-1 }{(x+1)(x+h+1)}\\= \frac{-1 }{(x+1)(x+0+1)}\\= \frac{-1 }{(x+1)(x+1)}\\= \frac{-1 }{(x+1)^{2} }[/tex]
∴ we get
Slope of a tangent to the curve = [tex]f'(x) = \frac{-1 }{(x+1)^{2} }[/tex]
The asker is talking about this question (see pic)
please answer this through here. People are giving me links that i cant open
Answer:
Bulldogs
Step-by-step explanation:
3/8 is less then 1/2
3/8 is less than 4/5
3/8 is less than 2/3
Hey do any of you guys know the answer to this question? I’m struggling with it and still don’t know the answer plz help me! Thanks!
I am not completley sure but i think its (3)
Thirty-six members of the middle school choir, which represents 30%, participated in the regional contents. How many total students are in the choir?
Answer:
120
Step-by-step explanation:
Given data
36 members are equivalent to 30%
Let the total number of students be x
Hence
30% of x= 36
30/100*x= 36
0.3x= 36
divide both sides by 0.3
x= 36/0.3
x= 120 students
Hence the total number of students is 120
PLEASE HELP GIVING 15 PTS!! AND WILL MARK BRAINLIEST!!
Graph a line that goes through the points (−2,1) and (4,−2) .
Mrs. Fulcher had 14 gallon of milk, and she bought 12 gallon more. Her family then drank 58 gallon of milk. How much milk does Mrs. Fulcher have left?
Answer:
Mrs. Gallon is left with -22 gallon of milk
Step-by-step explanation:
Mrs. Fulcher had 14 gallon of milk
She brought 12 gallon of more milk
Milk consumed by her family - 58 gallon
Milk left with Mrs. Fulcher = 14 + 12 -58 = -22
What happens to an image that is rotated
Clockwise? Does it turn to the right or to the
left?
hii! please help asap. i’ll give brainliest
Answer: B
Step-by-step explanation:
Answer:
Median = 3500
Step-by-step explanation:
Data Set: 1850, 3500, 4200, 2310, 4260
=> Let's set this to the ascending order (least to greatest) first:
1850, 2310, 3500, 4200, 4260
=> Now as you cancel out the first value, cancel out the last one, and do this until u reach down to only one number:
So our median = 3500
Hope this helps!
Help. Need help. Please help.
Answer:
30 or -30
Step-by-step explanation:
y^2 = 900
Take the square root of each side
sqrt(y^2) = sqrt(900)
y = ±30
Identify the perimeter show work
Answer:
60
Step-by-step explanation:
The perimeter is the measurement around an object.
So first you multiply the 20 and the 10 by 2.
20 * 2 = 40
10 * 2 = 20
Then, add then up!
40 + 20 = 60
Answer: 60
Step-by-step explanation:
10+10= 20 (both sides)
20+20=40 (other sides)
40+20=60 (total sides)
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
c
Step-by-step explanation:
Factor fully. Solutions should be in the form Factor 1: (4x-3) Factor 2: (x-4)
5x2 − 37x - 24
Factor 1:
Factor 2:
Answer:
5x² − 37x - 24 = 5x² + 3x - 40x - 24 = x(5x + 3) - 8(5x + 3) = (5x + 3)(x - 8)The factors are:
Factor 1: 5x + 3 Factor 2: x - 8Solve each equation. Show or explain your reasoning.
−3x − 5 = 16
−4(y − 2) = 12
Answer:
Step-by-step explanation:
First equation: −3x − 5 = 16
Combine the constants:
-3x = 21
Solve for x using division: x = 21/(-3) or x = -7
Second equation: −4(y − 2) = 12
Reduce this by dividing both sides by -4: y - 2 = -3
Add 2 to both sides, to isolate y: y = -1
Solve AEFG. Round all measurements to the nearest tenth.
E
5.8 cm
F
4.9 cm
Answer:
To determine the length of the other side of the triangle, we must use Pythagora's theorem.
a^2 = b^2 + c^2
( where a = |EG| )
=> a^2 = 5,8^2 + 4,9^2 = 33,64 + 24,01 = 57,65
<=> a = the square root of 57,65 = 7,6
To determine what angle G is, we must use the tangens of angle G;
tanG = |EF|/|FG|
=> tanG = 5,8/4,9 = 1,2
therefor angle G = 49°48'28"
because the sum of the angles of a triangle equals 180;
180°-90°-49°48'28"6= 40°11'31"4 = angle E
is this correct please correct me if i’m wrong.
Answer: This is correct already.
Step-by-step explanation:
Answer:
You are incorrect. The mean is the average. The correct answer is "The mean is greater than the average"
(NO LINKS)
The school store sells markers for $0.35 each and pencils for $0.15
each. Anthony spent $2.80 to buy a total of 12 markers and pencils. How
many markers did Anthony buy?
PLEASE HELP !
Answer:
x = 5 pens
y = 7 pencils
Step-by-step explanation:
let
x = the number of pens
y = the number of pencils
Anthony spent $2.80 to buy a total of 12 pens and pencils
0.35x + 0.15y = 2.80
x + y = 12
by solving the system of equations
0.35x + 0.15y = 2.80
x + y = 12
we find
x = 5 pens
y = 7 pencils
Please help me with this I don’t know how.
Answer:
J: 2/45
Step-by-step explanation:
You multiply the probabilities together then simplify
2/15 x 5/15
to get 10/225
simplify to get your answer of 2/45
If King sets the price at $2.50 per doll how many disappointed customers will each store have during this week?.explain your process in complete sentences
Answer: about TWO
Step-by-step explanation:
Help me please man stop being snide
Step-by-step explanation:
the area is 36...side length is attained by finding its square root.6cm
using that we can use integers to determine the value of the diagonal opposite.
along the x axis,movement towards the left implies a negative -6
along the y axis, movement upwards implies a positive +6
=(x,y)
=((-2-6),(4+6))
=(-8,10)
Solve the following equation to find the value of x
[tex]45 + x = 50[/tex]
Answer:
x=5
Step-by-step explanation:
Sorry if wrong :> Hope i helped! Have a awesome day!!! You're a great hooman ^_^ Please mark brainliest !!
Answer:
45 plus 5 equal 50
Step-by-step explanation:
. 6x – 3y = 15
4x + 3y = -5
Method of elimination
Helpppppp it’s for a test I have 2 more questions
Answer:
x = 1. y = -3
Step-by-step explanation:
Add the two equations together and notice that all terms containing y will disappear, leaving with
10x = 10 or x = 1
Using this value of x into either one of the equations, you'll get
4(1) + 3y = -5 ---> 3y = -9 or y = -3
Solve the equation.
c/4−5=4
Plss show the work too plss! :)
Answer: c=36
Step-by-step explanation: c/4-5=4
Add 5 to 4
c/4=9
9 divided by 1/4
C= 36
(vii) log32 8=m
Again please
Answer:
log_(32)8= 3/5
Step-by-step explanation:
Log_(32)8 = m
write is as
32^m=8
(2^5)^m = 2^3
2^5m = 2^3
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
5m = 3
divide 5 on both sides to remove it from m
m= 3/5
Hope this helps!
The value of m is [tex]\frac{3}{5}[/tex].
What is logarithm?'Logarithm is the exponent or power to which a base must be raised to yield a given number.'
According to the given problem,
⇒ [tex]log_{32}8[/tex] = m
⇒ m = [tex]log_{32}8[/tex]
⇒ m = [tex]\frac{log 8 }{log32}[/tex]
⇒ m = [tex]\frac{log(2)^{3} }{log(2)^{5} }[/tex]
⇒ m = [tex]\frac{3log2}{5log2}[/tex]
⇒ m = [tex]\frac{3}{5}[/tex]
Hence, we can conclude, the value of m is [tex]\frac{3}{5}[/tex].
Learn more about logarithm here: https://brainly.com/question/20785664
#SPJ2
The Kelly's are having a dinner at a local restaurant. Mr. Kelly wants to give the server is 15% gratuity, and the sales tax is 6.5%. He will use the amount of the bill to find each additional amount. By what percent does the cost of the meal increase with tax and gratuity?
Answer:5
Step-by-step explanation: because it is
Answer:
5
Step-by-step explanation:
im smart lol
5. What is the range of the function y = 2x – 4?
Answer:
The domain is how far left and right it goes on a graph, and the range is how far up and down it goes on a graph. Because this equation is linear (if you graphed it, it would be in a straight line), both the domain and range are infinity, because it keeps going up and to the right, the larger X gets, and smaller and to the left, the more negative X gets.
graph is linear:
y=2x-4
solve for x=o
y=2x0-4 Eliminate 0
y=-4 solved for y
solve for y=0
0=2x-4 add 4
+4 +4
4=2x divide by 2
/2 /2
4/2 =x
2=x solved for x
calculate the slope
Solve for x=1
y=2x1-4
y=2-4
y=2 solved for y
Calculating the slope
y -y
a= x=1 x=0 =2
1
The graph is
(0, -4) (2, 0)
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
3s + 9
Step-by-step explanation:
3 * (S+3) = 3 S + 9
Find the mode of the following set of data:
5, 8, 2, 5, 2,5
A 5
B) 2
C 2 and 5
Answer:
A 5 is the mode of the data
Answer:
Option C) 2 and 5
Step-by-step explanation:
Mode :- The only number which appears multiple times
So 2 and 5 appears multiple times...
-2+2x=-3+5x
answer now answer now i need help i hate maths hlep me lol
SUCK IT GRREEN BOYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY I NEEDED TO ADD MORE ;LETTERS SO IM DOING THIS
Answer:
x= 1/3 :)
Step-by-step explanation:
Have a nice dayyyyyyyyyyyy! <3