a homeowner has just installed a swimming pool with a capacity of 3.5 x 10⁴ gallons.of the pool is initially empty, how many hours will it take to fill it using only a garden hose that delivers 630 gallons of water per hour
Using proportions, it is found that it will take 55.6 hours to fill the poll.
What is a proportion?A proportion is a fraction of total amount, and the measures are related using a rule of three.
In this problem, in one hour, 630 gallons of water are delivered. How many hours are going to take to deliver 3.5 x 10⁴ gallons = 35000 gallons?
The rule of three is:
1 hour - 630 gallons
x hours - 35000 gallons
Applying cross multiplication:
[tex]630x = 35000[/tex]
[tex]x = \frac{35000}{630}[/tex]
[tex]x = 55.5[/tex]
It will take 55.6 hours to fill the poll.
You can learn more about proportions at https://brainly.com/question/24372153
The hours it would take to fill the swimming pool is 55.6 hours.
What does division mean?
Division is the process of dividing a number into equal parts using another number. The sign used to denote division is ÷.
How many hours would it take to fill the swimming pool?Number of hours = capacity of the swimming pool / capacity of the hose
3.5 x 10^4 / 630
35,000 / 650 = 55.6 hours
To learn more about division, please check: https://brainly.com/question/13281206
Solve for
x
4
x
+
6
<
2
x
+
1
Give your answer as an improper fraction in its simplest form.
Answer:
[tex] \huge \red { \boxed{ \blue{ \boxed{ \tt \: x < - \frac{5}{2} }}}}[/tex]Step-by-step explanation:
to understand thisyou need to know about:inequalityequationPEMDASgiven:[tex] \text{4x + 6 < 2x + 1}[/tex]to find:[tex] \text{x}[/tex]tips and formulas:the direction of inequality does not change
when you
Add (or subtract) a number from both sidesMultiply (or divide) both sides by a positive numberSimplify a sidethe direction of inequality does change
when you
Multiply (or divide) both sides by a negative numberSwapping left and right hand sideslet's solve:
[tex]step - 1 : define[/tex]
[tex]4x + 6 < 2x + 1[/tex]
[tex]step - 2 : solve \: for \: x[/tex]
[tex] \tt{cancel \: 6\:from \: both \: sides} \\ \tt{4x + 6 - 6 < 2x + 1 - 6} \\ \tt 4x < 2x - 5[/tex][tex] \tt cancel \: 2x \: from \: both \: sides \\ \tt 4x - 2x< 2x - 2x - 5 \\ \tt 2x < - 5[/tex][tex] \tt divide \: both \: sides \: by \: 2 \\ \tt\frac{2x}{2} < \frac{ -5 }{2} \\ \tt x < - \frac{5}{2} [/tex]suppose the distnace in feet that an object travels t seconds is given by the formula d=64t^2 how far would the object travel after 1.5 * 10^3 seconds
Answer:
The object travels 144,000,000 feet.
Step-by-step explanation:
The distance the object travel after t seconds is given by:
[tex]d(t) = 64t^2[/tex]
How far would the object travel after 1.5 * 10^3 seconds
This is d when [tex]t = 1.5 \times 10^3 = 1500[/tex], so [tex]d(1500)[/tex]
[tex]d(1500) = 64*1500^2 = 144000000[/tex]
The object travels 144,000,000 feet.
There is a quadrilateral with vertices A (-4,0), B (-3, 4), C (2,6), and D (2,3).
Is this a parallelogram?
What is cot(ZB)?
Reduce fractional answers to lowest terms.
A
25
24
с 7
Answer:
cot∠B = 7/24
General Formulas and Concepts:
Math
SimplifyingTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cotθ = 1/tanθ = adjacent over oppositeStep-by-step explanation:
Step 1: Define
Angle θ = ∠B
Adjacent Leg = 7
Opposite Leg = 24
Step 2: Find
Substitute in variables [cotangent]: cot∠B = 7/24Anna has fabric that is 1/4 yard long. She needs to cut the fabric into pieces that are 1/8 yard long. How many 1/8 yard long pieces will she have
Answer:
2
Step-by-step explanation:
1/4= .25
1/8= .125
so 1/4÷ 1/8=2
need help this is due in 30 min and boost up my grade to a 87
An administrative assistant can type 100 words in 90 seconds. What is the assistants rate of typing in word per minute....
you might have to round so
Answer:
66.67 (or 66 2/3) words per minute
Step-by-step explanation:
90 seconds is equal to 1.5 minutes.
100 words/1.5 minutes = 66 2/3 words/minute
(also good luck on boosting your grade :) )
If y varies directly as x
and x= 4 when y = 14,
find y when x = -10.
What is the area of the composite shape?
20 points and a brainlest
Answer:
257.
Step-by-step explanation:
seperate the shapes. we know that the side on the left upper corner is 7 because 29 - 22. The we find the other missing side, which is 26 - 21, 5. then we multiplt the first "box" to find the area, 21 x 7 = 147. Then the second box 5 x 21 = 110. Add the two, and you find your answer. 257
A librarian was packing some books.
She discarded 22 books with torn pages.
She then packed the rest equally into 9 shelves.
There were 11 books on each shelf.
Answer:
99 books in total...
Step-by-step explanation:
2nd time asking! I need answer please.
Answer:
33.49 cubic centimeters
Step-by-step explanation:
Equation for volume: 4/3*π*r^3
Substitute 2 for r and 3.14 for π
4/3*3.14*2^3
To the nearest hundredth is 33.49
Joan climbed down 330 feet to the bottom of a cave. Next, she climbed up 385 feet. What was her final elevation? Joan was
feet above sea level
Paul is planning to sell bottled water at the local carnival. Paul's profit (in dollars) from
selling b bottles of water is given by the formula P = 1.356 - 342.
Interpret the Slope in this situation.
Paul's profit is increasing at a rate of
Select an answer
Answer:
Hi how are you doing Jasmine
Someone please help and explain will mark brainliest!!
Answer:
(a) x=5
(b) x= -1 1/3
(c) x= 1
Step-by-step explanation:
(a) (b) (c)
2(x-3)=4 −3(2x+1)=5 a(bx+c)=d
x−3=4/2 2x+1= − 5/3 d^1−1
x−3=2 2x= -5/3-3/3 d^0
x=2+3 2x= -5-3/3 x=1
x=5 2x= -8/3*2
x= -8/6
x= -4/3
30 %of 50 pidhdbdjduwywggdhfnfjrhdvdvdndjdjf
Answer:
15
Step-by-step explanation:
50 x .3
Answer:15
Step-by-step explanation:
12. Given f(x) = x - 3 and g(x) = 4x, find g(f(x)).
A. 4x -3
B. 4x - 12
C. 5x - 3
D. 3x3
directions: solve each equation below and type your answer in the answer column. Type all answers in decimal form
Answer:
11. x = 3.5
12. x = 11.75
13. x = 79.6
14. x = 2.2
15. x = 24.80
16. x = 11.75
17. x = 196.5
isnsjsuudd
Tyler has $125.00 to spend on books and CDs. He buys one book for $30.00. He wants to spend the rest on CDs that are on sale for $9.00 each. Which of these statements is true?
a.He can't buy any CDs.
b.He can buy 11 CDs.
c.He can buy more than 11 CDs.
d.He can buy 10 CDs.
Answer:
d. He can buy 10 CDs
Step-by-step explanation:
The reason he can only buy 10 is because if the CDs are $9.00 each then you would multiply:
10 x 9 = $90.00
If you add the $30.00 of books:
$90.00 + $30.00 = $120.00
This means he does not have enough money to buy another CD. He has $5.00 left over.
Is 4 5/12 a rational number
Answer:
Nope! It's irrational.
it would be if it was 53/12 tho!
The position of a particle on a straight line is given by s(t) = 3 – cos(t).
A. Find velocity and acceleration at t = 4.3 s.
Round your answers to 2 decimal(s).
v(t) =
a(t) =
Given the position function
s(t) = 3 - cos(t )
differentiate once to get the velocity, and twice to get the acceleration:
v(t) = s'(t) = sin(t ) → v (4.3 s) ≈ -0.92
a(t) = s''(t) = v'(t) = cos(t ) → a (4.3 s) ≈ -0.40
The acceleration is negative, so the particle is slowing down.
HELPPPP PLEASE ANSWER THIS CORRECTLY AND U WILL GET BRAINLIEST WHAT IS THE SOLUTION TO THIS PROBLEM
Answer:
The other equation should be y= -5/3x +3 comment
if you have any questions
Step-by-step explanation:
Brainliest?!?!?
Answer:
Step-by-step explanation: ok so if 5x + 3y =9
then you have to subtract 3-x15= and then you will get your answer
HELP
Erick spent $ 21.91, including sales tax, on 2 T-shirts and 3 pairs of socks. The t-shirts cost $ 6.75 each and the total sales tax was $ 1.03. Complete the table with the correct prices.
Answer:
t shirts were $6.75 each.
socks were $4.71 each
sales tax was $1.03
brainliest??... i took my time out to help u
Answer: So Im basicaly just replying to get points sorry
Look i sure someone will answer it soon good luck buddy I have faith in you
Step-by-step explanation:
On the graph of f(x)=sinx and the interval [0,2π), for what value of x does f(x) achieve a minimum? Choose all answers that apply.
Select all that apply:
0
π/4
π/2
π
3π/2
Answer:
3π/2
Step-by-step explanation:
See attached graph
Select all the ratios that are equivalent to 8 : 6. *
4:3
6 to 8
16:12
10:8
7 to 5
Answer:
4:3 and 16:12
Step-by-step explanation:
Sixty-four teams entered a citywide soccer tournament. Half of the teams are eliminated after each round. Write a function for the number of teams left after x rounds.
Answer:
x = (64 ÷ 2) ÷ r
Step-by-step explanation:
x = teams
r = rounds
hope this helps :)
Answer:
f(x)=-1/2x+64
Step-by-step explanation:
a function starts with f(x) so thats how i got the f(x) and im guessing this is talking about linear functions so they start of with 64 teams which is the y intercept and 1/2 are eliminated after each round which is -1/2 giving us f(x)= -1/2+64
What is the slope of the line that passes through (0, -4) and (6,4)? *
3/4
4/3
0 -3/4
- 4/3
ANSWER:
The Slope to your answer is 4/3
smby help meeeee plzzzz .!
Answer:
117 yards
Step-by-step explanation:
Pythag Theorem
100^2+60^2=C^2
13600=C^2
116.619038=C
Rounded up to 117 yards
WHAT IS 7352 divided by 45
Answer:
163.4
Step-by-step explanation:
I need help *********
Answer:
a
Step-by-step explanation:
bc x 2 is 10× 10
so x is 10
I hope this helped
Does a hexagon contain rays
Answer:
It has line segments, no rays though
Step-by-step explanation:
Answer: No,
Step-by-step explanation:
it contains line segments, not rays.
