Water is pumped out of a 500-gallon tank at a rate of 2.5 gallons per second. The inequality 500−2.5t<100 can be used to determine the time t in seconds, after which there will be less than 100 gallons of water remaining in the tank.

Answers

Answer 1

Answer:

[tex]160\ \text{s}[/tex]

Step-by-step explanation:

The inequality that represents the situation is

[tex]500-2.5t<100[/tex] where [tex]t[/tex] is the time in seconds

[tex]\Rightarrow -2.5t<100-500[/tex]

[tex]\Rightarrow -2.5t<-400[/tex]

[tex]\Rightarrow 2.5t>400[/tex]

[tex]\Rightarrow t>\dfrac{400}{2.5}[/tex]

[tex]\Rightarrow t>160\ \text{s}[/tex]

So, the time after which there will be less than 100 gallons of water is [tex]160\ \text{s}[/tex].


Related Questions

Determine the length of AC and DE, and the value of x.

Answers

Answer:

n = 16, AC = 60, DE = 30

Step-by-step explanation:

DE joins the midpoints of 2 sides of the triangle and is half the length of the third side, that is

DE = [tex]\frac{1}{2}[/tex] AC , substitute values

n + 14 = [tex]\frac{1}{2}[/tex] (3n + 12) ← multiply both sides by 2 to clear the fraction

2n + 28 = 3n + 12 ( subtract 2n from both sides )

28 = n + 12 ( subtract 12 from both sides )

16 = n

Then

AC = 3n + 12 = 3(16) + 12 = 48 + 12 = 60

DE = n + 14 = 16 + 14 = 30

What is 5 divided by 7,685?

Answers

Answer: 0.00065062

Step-by-step explanation:

i used a calculator ✌️

5 divided by 7,685 is 0.000652

Find Sn for the given arithmetic series a1= -26, d= -3, n= 15

Answers

Answer:

kssisksniznsj

Step-by-step explanation:

uanwoznxjxoxk espero te ayude

Help Please Right now


At a carnival booth, customers had to guess the number of jelly beans in a jar. Samantha guessed there were 375 jelly beans. The actual amount of jelly beans in the jar was 250. What is Samantha's percent error?

Answers

Answer:

150

Step-by-step explanation:

The required percent error by Samantha is 50%, as of the given condition,

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

What is the error?

Errors are discrepancies between values that are seen and natural truths.

Here,
Samantha guessed there were 375 jelly beans.
The actual amount of jelly beans in the jar was 250.
Error percentage = 375-250 / 250 × 100
                           = 0.5 × 100
                           = 50%

Thus, the required percent error by Samantha is 50%, as of the given condition.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ5

A baker is filling equal-sized containers with sugar. Four pounds of sugar fill 1 1/3 containers. How many pounds fit in each container?

Answers

1/3 pound

This is messy to put into words. Hopefully someone else can clean it up for you.

1 1/3 divided by 4.

Make the 1 1/3 an improper fraction, = 4/3. It may help to think of the whole number, 4, as 4/1.
When dividing fractions, flip the bottom one and then multiply.

So 4/3 over 4/1 becomes
4/3 x 1/4 = 4/12 = 1/3

helllpp! I will mark brainliest!

Answers

Answer:

They are vertical angles :)

Step-by-step explanation:

these are vertical angles, hope that helps!

answer the one in the screenshot

pls male it all correct
or i will report u

Answers

Answer:

21. yes 22. yes 23: no 24:no 25:yes

EZ

Simple math true and false. not that hard. 11th grade math though

Answers

Answer:

True

good luck, hope this helps :))

Answer:

True

Step-by-step explanation:

Pretty sure comrade. Also let me know if not right. Hope this helps

What is the greatest common factor of 36 and 48?

Answers

Answer:

The GCF, or greatest common factor, of 36 and 48 is 12.

Step-by-step explanation:

Answer:

The GCF, or greatest common factor, of 36 and 48 is 12.

Answer is 12.

I hope it's helpful!

ACTIVITY SET A
Solve the following problem. Write your an ver at the back
1. 12 flowers to 3 vases. How many flower to 6 vases?

2. 5 books for every 3 pupus. How many books for 9 pupils?

3. The salary of two workers is in the ratio 3:4. They received P 14 70C. How mut tid
each worker received?

4. The ratio of men to women at college is 6 is to 8 How many women students are there if there are 300 men?

5. Mr Reyes has enough money to pay 8 workers for 15 days. If he adds 4 meters,
for how many long can be pay them at the same rate?

pls help I really need answer​

Answers

Answer:

1-24

2-15 books for 9 pupils

3-Worker 1

3x = 3(1,750)

    = 5,250

-------------------

Worker 2

4x = 4(1,750)

    = 7,000

4-368

5-22 days and a half (22.5 days)

Step-by-step explanation:

hope this helps if u need the calclations tell me!

divide $200 in the ration2:3.what is the results​

Answers

Answer:

$80:$120  I think that is the answer

Jerry is building a dog kennel for his new puppy to play in while he is at work. It will be square made out of wire mesh with 9 foot sides. How many yards of wire mesh does Jerry need to purchase?

Answers

Answer:

I think 12yards

Jerry need to purchase 12 yards of wire mesh.

30 times 40 equals whatttt

Answers

Answer:

1200 is ur wsener

Step-by-step explanation:

Answer:

1,200 is the result to the problem

HELPPPP ASAPPP MARKING BRAINLIEST

Answers

Answer:

1) a

2) c

3) a

Step-by-step explanation:

1) Subsitute

2.14x - 42.9 = ?

2.14(22.4) - 42.9 = ?

47.936 - 42.9 = ?

= 5.036

2) Factor out

6y^2 + 27y

both have 3 and y in common so ...

3y(2y + 9)  

3) Distribute

12m(m - 3n)

12m * m = 12m^2

12m * -3n = -36mn     the only reason -3 is NOT a positive is b/c it has subtraction sign b4 the number

put it in order:

12m^2 - 36mn

Can anyone explain how to do this?

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationships between sides and trig functions. The relevant relations here are ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

In your diagram, leg 'a' is opposite angle α and adjacent to angle β. Similarly, leg 'b' is opposite angle β and adjacent to angle α. The hypotenuse is 'c' in all cases.

So, filling the table is a matter of identifying adjacent and opposite legs. You will notice that the sine of α is the cosine of β and vice versa.

Tom has a total of 15 stamps. some are worth 10 cents and some are worth 20. The value of the stamp is 2.40. how many of each stamp does he have?
A. what are you trying to find?
B. what system of equations that models this scenario?

Answers

Answer:

a) how many stamps are worth $0.10 and how many are worth $0.20

b) x + y = 15

   .10x + .20y = 2.40

Step-by-step explanation:

There are 2 rap songs for every 3 rock songs on Will's MP3 player. There are a total of 120 rock songs. How many rap songs are there?

Answers

I would say there is about roughy 240

please, help me with my geometry:)

Answers

Answer: 8.9443

Step-by-step explanation:

Maha has two colors of modeling clay. She has
1.05 kilograms of blue modeling clay and
1.3 kilograms of orange modeling clay. Which
color of modeling clay does Maha have more of?

Answers

Answer:

orange modeling clay . .

A garden table and a bench cost $978 combined. The garden table costs $78 more than the bench. What is the cost of the bench?

Answers

Answer:

$411

Step-by-step explanation:

I divided 978 by 2 and then subtracted 78 to get the bench's price.

Bench price: $411

Garden table price: $567

Estimate: 28 2/3 × 4/5 as a fraction

A. 14

B. 20

C. 29

D. 40

Answers

Answer:

B because the answer would be 22 14/15

Which is the better deal?
At the Willow market you can buy 6 bags of apples for $29.76.

At the Orchard Market you can get 2 bags of apples for $10.14.

Answers

Answer:

The Willow market is better

Step-by-step explanation:

Answer: Orchard market

Step-by-step explanation:When you divide 6 by 29.76 and 2 by 10.14 you get a greater value from willow market

The radius of a circle is 3 kilometers. What is the circle's circumference?
r=3 km

Answers

C=6pi

Step-by-step explanation:

can someone please explain(ignore the lines i’ve drawn on i don’t think they are
correct)

Answers

Jajaja haiacoabb no calavians

Answer:

Step-by-step explanation:

1.open the compass more than half of the distance between C and D, and scribe arcs of the same radius centered at C and D.

2. Call the two points where these two arcs meet A and B. Draw the line between A and B.

3. AB is the perpendicular bisector of the line segment CD. Call the point where AB intersects CD E.

This website offers a pretty good explanation:

https://web.sonoma.edu/users/w/wilsonst/courses/math_150/c-s/Perp-Bisect.html

What is the missing length?

Answers

64 = 8x

64 = 8×8

answer is 8 km

An aquarium holds 4 gallons of water. Every fish needs 1 1/3 gallons of water. How many fish can be placed in the aquarium?

Answers

Answer:

3 fish

Step-by-step explanation:

4g / 4/3 fish

4/1 ÷ 4/3 = 4/1 · 3/4 = 3

PLS HELP ASAP WILL GIVE BRAINLIEST
Look at the figure below:
If sin y° = 9/c and tan y° = 9/d, what is the value of cos y°?

Answers

Answer:

d/c

Step-by-step explanation:

Given:

sin y° = 9/c and tan y° = 9/d

We know that

tan α = sin α /cos α ⇒ cos α = sin α / tan α

Solving for cos y°, by substituting values:

cos y°  = sin y° / tan y° cos y°  = 9/c ÷ 9/d =               9/c × d/9 =               d/c

Answer:

the answer to your question is d/c

How can I use the number line to find the sum: −1 12 + (−1 12)

Answers

Answer:

You can make the mixed numbers int improper fractions and then into decimals

Step-by-step explanation:

HELP ASAP 15 POINTS !!!!!

Answers

Answer: 4, 8, 7, 9, 0, 3, 4, 1, 6, 27

Step-by-step explanation:

teresa wants to make some cookies the recipe calls for 5 eggs and 10 tablespoons of butter but she only has 3 eggs she needs to know if she has enough butter to make the cookies with only three eggs how much butter will she need

Answers

Answer:

I think Teresa needs 6 tablespoons of butter..

Step-by-step explanation:

Hope this right...but if it's not,im so sorry

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