A public swimming pool that holds 45,000 gallons of water is going to be drained for maintenance at a rate of 100 gallons per minute. The amount of water, w (in gallons), in the pool after t minutes is given by the function w = 45,000 – 100t. How many minutes will it take to empty the pool?
Answer:
450 minutes
Step-by-step explanation:
Given
w = 45000 - 100t
Required
Determine how long it'll take to empty the pool
Being empty means there's no water in the pool.
So, we have to set w to 0 to get the value of t
i.e w = 0
Substitute 0 for w in w = 45000 - 100t
0 = 45000 - 100t
Collect Like Terms
100t = 45000
Divide through by 100.
t = 450
Hence, it'll take 450 minutes to empty the pool
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Which number line can be used to find the distance between (-1, 2) and (-5, 2)?
--7-6-5
-3-2
0
1
2
3
-2 -1 0
1
2
3
5
6 7
8
-7 -6 -5 4 3 - -
0 1
2
3
1
2
3 4 5
9514 1404 393
Answer:
see below
Step-by-step explanation:
The y-coordinates of the points are the same, so the distance between those points will be the difference of the x-coordinates. The first number line shows those x-coordinates plotted properly. It can be used to find the difference between them.
In a collection of coins, the number of quarters is one-third the number of pennies. The number of quarters is Q. The number of pennies is P. What is the correct formula relating Q to P
Answer:
Q = P/3
Step-by-step explanation:
Let the number of quarters be Q
Let the number of pennies be P
If the number of quarters is one-third the number of pennies, this can be expressed as;
Number of quarter = 1/3 of pennies
Q = 1/3 of P
Of means multiplication
The expression becomes;
Q = 1/3 × P
Q = P/3
Hence the formula relating Q to P is
Q = P/3
which shape is similar to shape l?
Answer:
pentagon
Step-by-step explanation:
got 5 sides
The supermarket has 48 aisles. 12 of the aisles are empty. What percentage of the aisles are empty
Answer:
25% of the isles are empty
Step-by-step explanation:
48/12 is 25%
Answer:
25%
Step-by-step explanation:
12 + 12 + 12 + 12= 48
if 12 isles are empty, then that is 1/4 of 48 aka 25%
ANSWER THIS ASAP PLS!!!
Solve for x.
A) -11
B) -12
C) -6
D) 11
Answer:
its A, B, C, or D
Step-by-step explanation:
What is the value of b? b+40 b+880 b-199
Answer:
921b-199
Step-by-step explanation:
please help 6th grade math i will mark brainliest to 1 answer select all that are equivalent to 15%
Answer:
.15
Step-by-step explanation:
Answer:
.15, 3/20
Step-by-step explanation:
An arts academy requires there to be 5 teachers for every 95 students and 4 tutors for every 40 students how many students does the academy have per teacher? Per tutor
Answer:
19 students per teacher and 10 students per tutor
Step-by-step explanation:
To find the amount of students per teacher and per tutor you have to divide
95 students /5 teachers
19 students per teacher
40 students /4 tutors
10 studetns pet tutor
Solve for x
x(6x+1)= 2
Answer:
x=1/2,-2/3
Step-by-step explanation:
Answer:
- 1/2 I would show my work but its too long sry
Step-by-step explanation:
Which line has a slope of
a
and a y-intercept of 2?
Answer:
it is 3
Step-by-step explanation:
hi what’s
0 divid. Ed bye o9sskwnqzjsmmskmsmskq?
Find the function that represents the relationship on the chart
Answer:
last one f(x) = 7x-5
Step-by-step explanation:
7(0)-5 = -5
7(1)-5 = 2
7(2) - 5 = 9
...
Which shows the correct solution to the inequality To 21 +22
10
218 +p
7
10
5
-
1
-1
28 25
40 40
2p
3
ps-1
40
7 5
10
21+
7
-1
10
g+p
28 25
- 1
40
40 20
02-13
Mark this and return
Ne
SE
Answer:
C
Step-by-step explanation:
the answer is C !!!!!!!!!!!!!!!
if six pounds of grape juice is $3, how much would it cost to buy 3,4, and 5 pounds of grape juice?
Answer:
It would cost $9 for 3 pounds, $12 for 4, and $15 for 5.
Step-by-step explanation:
I hope I understood what you we're asking correctly, sorry if not. :)
Which product is equal to 4?
A.4x11/10
B.4x2/3
C.4x5/8
D.4x5/5
Answer:
D
Step-by-step explanation:
5/5 = 1 so 4 times 1 is four
what is x equal to ?????????
Answer:
x is 6
Step-by-step explanation:
Answer: Hope this helps you love!
Step-by-step explanation:
View photo
If the sales tax for the city of Los Angeles is 9.75%.how much tax would you pay for an item that costs $200.00
someone please help
Answer:
A.) slope is 0, y=2
Step-by-step explanation:
slope = 0 cause its flat
y =2 by the graph
-5c + 2 < 27 on a number line.
Answer:
c < -5
Step-by-step explanation:
So, on a number line, everything to the right of -5 would be shaded.
6 would be shaded along with 7, 8, 9, 10 etc. etc
The circle above -5 would be left open (not colored in)
Hope this helped
Prove the identity.
TT
sin x +
2.
cotx
sin (-x)
Answer:
Hi... Do this for prove that
Answer:
Step-by-step explanation:
What is the y-intercept?
(20,0)
0 (0, 18)
(18,0)
O (0,20)
Which percent is equivalent to 0.02?
Answer:
2 OR 20
Step-by-step explanation:
What are all the ways to multiply
Answer:
multiplying :v
Step-by-step explanation:
................
Jada also estimates the perimeter of her garden by rounding the length and width to the nearest tenth. Which equation shows this estimate?
A. 12.6 + 3.2 + 12.6 + 3.2 = 31.6 meters
B. 12.6 + 3.3 + 12.6 + 3.3 = 31.8 meters
C. 12.5 + 3.5 + 12.5 + 3.5 = 32 meters
D. 12.7 + 3.3 + 12.7 + 3.3 = 32 meters
Answer:
B
Step-by-step explanation:
According to Albert Einstein (one of the smartest person) and Jeff Bezos (the richest person on earth)...the answer is B and will always be B ;0.
72 times what gives you 6834
Answer:
94.917
Step-by-step explanation:
6834/72 = 94.916666
help pleaseee
Simplify: 4x^3•5x
Answer:
20x^4
Step-by-step explanation:
Jake dives from a diving board that is 18 feet off the ground. He reaches a maximum height of 26 feet after 2 seconds. What is the standard and vertex formula of this quadratic equation and in how many seconds with Jake hit the water?
Answer:
The time it will take Jake to hit the water ia approximately 4.46 seconds
Step-by-step explanation:
The given parameters in the question are; feet
The height off the ground, of the diving board from which Jake dives, h₀ = 18 feet
g = The acceleration due to gravity
The maximum height Jake reaches, h = 26 feet
The time Jake takes to reach maximum height = 2 seconds
We have;
h = h₀ + u·t + 1/2·g·t²
v² = u² - 2·g·(h - h₀)
v = u - gt
u = gt
Where;
v = The final velocity
u = The initial velocity
t = The time taken
u = 9.81 × 2 = 19.62 m/s
The vertex form of a quadratic equation is f(x) = a(x - h)² + k², with the vertex = (h, k)
Substituting the values, gives;
26 = 18 + u·t - 1/2 × 9.81 × t²
8 = 19.62·t - 1/2 × 9.81 × t² = 19.62·t - 4.905·t²
19.62·t - 4.905·t² - 8 = 0
Therefore, the standard form is -4.905·t² + 19.62·t - 8 = 0
The coordinate of the vertex, is (2, 8), the vertex form is therefore;
-4.905(t - 2)² + 8
2) The time it will take Jake to hit the water is given as follows;
The height at which Jake meets the water = -18 feet from initial height
∴ -4.905·t² + 19.62·t - 8 = -18
-4.905·t² + 19.62·t - 8 + 18 = 0
-4.905·t² + 19.62·t + 10 = 0
t² - 4·t - 2.04 = 0
By the quadratic formula, we have;
t = (4 ± √((-4)² - 4 × 1 × -2.04))/(2×1)
t ≈ 4.46 seconds or t ≈ -0.46 seconds
∴ t ≈ 4.46 seconds
The time it will take Jake to hit the water ≈ 4.46 seconds.
Evaluate the expression 2/3 x−12 if x=18
Answer:
Step-by-step explanation:
Given equation is 2/3 x−12
Given x=18
Putting X=18 in given equation we get
2/3x-12= 2x18/3-12=
=12-12 =0 is the answer
Liam has a bag of b beads. He gives 20 beads to his sister. He then makes 4 necklaces with the same number of beads on each necklace using all of the remaining beads. Write an expression that represents the number of beads on each necklace. Show your work.
Answer:
5
Step-by-step explanation:
just do 20 divided by 4 and you will get 5. Also, do 5x4 to make sure you let your teacher know that you got the right answer.The expression in one variable b that shows the number of beads on each necklace is (b-20)/4
What is an expression in one variable?An expression in one variable is a statement formed by the using constants and an unknown variables and mathematical operators but sign is equal to is not used. Expression in one variable is linear if the power of the unknown variable is equal to one .
Standard form of linear expression in one variable x is ax +b , where a and b are constants .
Given that Liam has a bag of b beads
He gave 20 beads to his sister
Then, remaining beads = b -20
Remaining beads are used to make 4 necklaces
Let the beads on each necklace be x
Then beads in four necklaces = 4x
As, Remaining beads = beads in four necklaces
⇒4 x = b - 20
Dividing the equation by 4 on both sides
⇒ x = (b-20)/4
∴ The expression that shows the number of beads on each necklace is (b-20)/4
Also, Learn more about the expressions in one variable from the link below:
brainly.com/question/17272650
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