A water tank currently contains 275 gallons of water. The amount of water in the tank will decrease at a constant rate of 15 gallons per week.
Which function can be used to find t, the total number of gallons of water in the tank after w weeks?

F t = 15w - 275
G t = -15w + 275
H t = 275w - 15
J t = -275w + 15

Answers

Answer 1

The function that can be used to find t, the total number of gallons of water in the tank after w weeks will be t = -15w + 275

The initial volume of water in the tank is 275 gallons

The amount of water in the tank decreases at a constant rate of 15 gallons per week.

t = total number of gallons water in the tank after weeks

w = number of weeks

Therefore, the following equation/theory can be establish

The initial gallon of water in the tank is 275 gallons that means we should have positive value of 275 in the equationThe gallon of water reduces by 15 gallons each week which means 15 gallons will be subtracted from the initial gallons of water each week. This means we have to find the product of -15 and w(number of weeks).

The equation will be

t = 275 - 15w

or

t = -15w + 275

Check here for more details on how to find linear equations: https://brainly.com/question/17846793?referrer=searchResults


Related Questions

This question requires you to enter the answer in the box provided on the screen.
Fractions should be entered in lowest terms using a forward slash (/) and converted to improper fractions when applicable.
Use only numbers, a negative sign (-), a decimal point (.), and/or a forward slash (/) to enter the answer.
Two numbers are given.

64 and 80

What is the greatest common factor of these two numbers?

Answers

Answer:

16

Step-by-step explanation:

The greatest common factor is the greatest integer which divides evenly into both numbers.  One way to find this is to list all of the divisors of one of the numbers, and then select the biggest of those that divides evenly into the other number, and that number is the greatest common factor.

We start with 64.

Its divisors are 1, 2, 4, 8, 16, 32, 64.  The biggest of those numbers which divides evenly into 80 is 16.  

Thus, the greatest common factor is 16.

Solve for x
See picture for problem! Please and thank you!!

Answers

Answer:

x = 10°

Step-by-step explanation:

m∠DCR is an exterior angle of the triangle DCE

Solving For Exterior Angles:

To find the value of an exterior angle, we must sum up the two opposite (corresponding) angles inside the triangle

In this case, 2x + 7 and 26 are the corresponding angles

Solve:

6x - 7 = 2x + 7 + 26

4x - 7 = 7 + 26

4x = 14 + 26

4x = 40

x = 10°

Your answer : x = 10°

-Chetan K

Answer Here
Why is 0.0123 x 107
not in the correct Scientific
Notation format?

Answers

becauseStep-by-step explanation:

2 sss, aas, sas, or not enough information

Answers

Answer:

ASA

Step-by-step explanation:

there is one more angle, which is the vertical opposite.

Suppose (4,2) is a point on the graph y=f(x). What is a point that would be on the graph if y=10f(x)+5

Answers

Step-by-step explanation:

3,4 i think....... mmmmmmmmm

Answer:

(4 , 25)

Step-by-step explanation:

y = 10*f(x) + 5   .... a = 10

a*f(x): vertical stretch with factor a, if | a | > 1 then (x , y) -> (x , ay)

(4 , 2) ==> (4 , 20)

f'(x) + b : vertical translation UP b units  y = 10*f(x) + 5 , (x,y) -> (x, y+5)

(4 , 20) ==> (4 , 25)

an algebraic expression that represents the product of r cubed and one hundred seven.

Answers

Answer:

107r³

Step-by-step explanation:

What is 43.982 rounded to the nearest hundredth

Answers

Answer:

The answer is 42.98

Step-by-step explanation:

you can search up rounding charts online and that would help you a lot! After the decimal, it goes by tens, hundreds, thousand, and so on.

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

pls give the steps and the reasons

Answers

Answer:

m<ADB = m<DBC

because they're alternate interior angles.

m<ABD = m<BDC

because they're alternate interior angles.

DC = AB, opposite sides.

AD = BC, opposite sides.

m<ADB = m<ABD, adjacent angles.

m<BDC = m<DBC, adjacent angles.

what is the sum of x + y when x = -4/5 and y = 1/3

Answers

Answer:

-7/15

Step-by-step explanation:

To get the sum of two fractions, you need to make their denominators the same, ideally the least common denominator, or LCD.

So, first off, substitute x + y with the values of the variables to get -4/5 + 1/3. Next, find the LCD of the fractions. In this case, the denominators are both prime, so the LCD is the product of the denominators. Because 3 * 5 = 15), both denominators should end up being 15. Next, multiply both parts of both fractions by the number needed to get to that LCD. In this case, you're multiplying -4/5 by 3 on the top and bottom, and 1/3 by 5 on the top and bottom. This should get you an expression of -12/15 + 5/15. Next, add away! (-12 + 5)/15 = -7/15, and you're done!

what do you do when you simplest form and have a left over number. Using the word "to"

Answers

Reduce the fractions

PERIOD
DATE
NAME
Practice
Solving Equations with the Variable on Each Side
Justify each step.
1. 4k - 3 = 2k + 5
4k-3-2k = 2k +5 - 2k
2k-3 = 5
2k - 3 + 3 = 5 + 3
2k = 8
2k 8
N100
2
k=4

Answers

Answer:

K = 4

Step-by-step explanation:

In pic

(Credits: Symbolab)

(Hope this helps can i pls have brainlist (crown)☺️)

Answer:

The answer is 4 or N100. Have an good day.


What algebraic rule did you use to preform this
translation????

Answers

Answer:

In geometry, a transformation is an operation that moves, flips, or changes a shape (called the preimage) to create a

new shape (called the image). A translation is a type of transformation that moves each point in a figure the same

distance in the same direction. Translations are often referred to as slides. You can describe a translation using words

like "moved up 3 and over 5 to the left" or with notation. There are two types of notation to know.

1. One notation looks like T(3, 5). This notation tells you to add 3 to the x values and add 5 to the y values.

2. The second notation is a mapping rule of the form (x, y) → (x−7, y+5). This notation tells you that the x and

y coordinates are translated to x−7 and y+5.

Step-by-step explanation:

Directions: Convert the equations from standard form to slope intercept form.

Answers

Answer:

Write in slope-intercept form, [tex]y=mx+b[/tex].

5. [tex]y=2x+7[/tex]

6. [tex]y=-\frac{5}{3} x+4[/tex]

7. [tex]y=x-1[/tex]

8. [tex]y=\frac{1}{3}x +5[/tex]

9. [tex]y=\frac{4}{5}x -2[/tex]

10. [tex]y=-\frac{7}{3}x + 6[/tex]

I really need help with this question :)

Answers

Answer:

here you go.

Step-by-step explanation:

The diagonal is the hypotenuse of a rectangular triangle.

So:

d2=l2+w2 

132=169=(x+7)2+x2=x2+14x+49+x2→

2x2+14x−120=0→x2+7x−60=0

A simple quadratic equation resolving into:

(x+12)(x−5)=0→x=−12orx=5

Only the positive solution is useable so:

w=5andl=12

Find the discriminant to determine the number of roots, then solve the quadratic equation using the quadratic formula. !! PLS HELP !!

Answers

Answer:

Discriminant review

Discriminant reviewThe discriminant is the part of the quadratic formula underneath the square root symbol: b²-4ac. The discriminant tells us whether there are two solutions, one solution, or no solutions.

please help asap, this is for a math project! (ill give brainliest)
Write 7/571 as a mixed number!

Answers

Answer:

7

Step-by-step explanation:

jh

Answer:

7+32/77

Step-by-step explanation:

A cruise ship travels 176 miles in 8 hours.

Speed = StartFraction distance Over time EndFraction

What is the ship’s speed?
2 miles per hour
22 miles per hour
168 miles per hour
1,408 miles per hour

Answers

Answer:

22mph

Step-by-step explanation:

Answer:

22 miles per hour

Divide 176 miles by 8 hours

Write=1\frac{5}{7}[as an improper fraction.

Answers

[tex]\\ \sf\longmapsto 1\dfrac{5}{7}[/tex]

[tex]\\ \sf\longmapsto \dfrac{7(1)+5}{7}[/tex]

[tex]\\ \sf\longmapsto \dfrac{7+5}{7}[/tex]

[tex]\\ \sf\longmapsto \dfrac{12}{7}[/tex]

10. If you can travel 97 miles in 30 minutes, how many mileScan you
travel at the same rate in 8 hours?

Answers

Answer: 1,552
Explanation: you want to set up a proportion

Ex:

97 X
—- x —
30. 480

The way I got 480 was I converted 8 hours into minutes because you want the same value of measurement.

After this, just cross multiply and you get the equation

46560 = 30mile

Then just isolate the miles (because you are trying to solve for 1 mile

Miles = 1,552
1,552

30 minutes is half of an hour so first you need to multiple 8•2 then you multiple 97 by what 8•2 is (16) that gets you 1552

simplify simplify simplify​

Answers

This is what it comes out to being as simplified as I could find.

Answer:

here is the answer

Step-by-step explanation:

what should step 3 say?

Answers

Answer:

12x + 15 = 15

Step-by-step explanation:

step 2

9x + 3x + 15 = 15 ( collect like terms on left side )

step 3

12x + 15 = 15

Can someone pls help meee

Answers

>> Answer

_________

[tex] \: [/tex]

[tex] \triangle \sf \: abc = \triangle \sf \: xyz[/tex]

Soo :

Ab = Xy Bc = Yz Ca = Zx

Triangle in the picture.

3x(5+4)=7

what dose that =

Answers

the answer is x=-15/5

8(x-2)+9<3(x-1)+5x

a. x<-7
b. x<-3
c. no solution
d. all real numbers

thanks!!

Answers

Answer:

d

Step-by-step explanation:

Guys pls help me!!!!!

Answers

Answer: x = 41 degrees
Y = 41 degrees


Explanation: 180-139= 41

Hello, I need help with this problem.

Answers

Answer:

1/5

Step-by-step explanation:

[tex]\lim_{x->4} \frac{x-4}{x^{2}-3x-4 } \\= \lim_{x->4} \frac{x-4}{(x+1)*(x-4) } \\\\= \lim_{x->4} \frac{1}{(x+1) } \\\\\\[/tex]

lim x->4   plug in x=4

1/(x+1) = 1/(4+1) = 1/5

can someone pls explain why the answer to this problem is a.​

Answers

Answer:

WHAT IS THE QUESTION HOW DO YOU EXPECT PEOPLE TO ANSWER IF WE DONT KNOW THE PROBLEM WE ARE NOT MIND READERS

Step-by-step explanation:

YOU LITERALLY WROTE EXPLAIN WHY THE ANSWER TO THIS PROBLEM IS A. WHERE IS THE PROBLEM

Help me please this is due please help

Answers

Answer:

18

Step-by-step explanation:

Divide the total weight of dough by the amount required for 1 pizza

20 [tex]\frac{1}{4}[/tex] ÷ 1 [tex]\frac{1}{8}[/tex] ( change mixed numbers to improper fractions )

= [tex]\frac{81}{4}[/tex] ÷ [tex]\frac{9}{8}[/tex]

• leave first fraction , change ÷ to × , turn second fraction ' upside down '

= [tex]\frac{81}{4}[/tex] × [tex]\frac{8}{9}[/tex] ( cancel 81 and 9 by 9 )

= [tex]\frac{9}{4}[/tex] × 8 ( cancel 4 and 8 by 4 )

= 9 × 2

= 18 pizza's

A group of people were asked if they had run a red light in the last year. 385 responded "yes", and 472 responded "no".

Find the probability that if a person is chosen at random, they have run a red light in the last year.

Give your answer as a fraction or decimal accurate to at least 3 decimal places

hurry plssssss

Answers

Answer:

44.9%

Step-by-step explanation:

you can find the probability by dividing the total number of people by the number of people who have run a red light:

385/857

simplify into a decimal:

0.449

convert into a percent to get your answer:

44.9%

brainlest if you answer right.

Answers

i think it is 60 but I’m not totally sure
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