The amount of water (in liters) in tank 1 after t minutes is 30t + 25. The amount of water (in liters) in tank 2 after t minutes is −20t + 1000. Find the time when the amount of water will be equal.

Answers

Answer 1

Answer:

The water amount will be equal at 19.5 minutes

Step-by-step explanation:

Here, we want to find the value of t when the water level in both tanks will be equal

We simply proceed to equate both ;

That will be;

30t + 25 = -20t + 1000

30t + 20t = 1000-25

50t = 975

t = 975/50

t = 19.5 minutes


Related Questions

What is the area of the triangle if the base is 5 centimeters and the height is 6 centimeters?



16 inches
12 feet
4 m 3
15 cm 2

Answers

Answer:

15 cm

Step-by-step explanation:

6x5 divide by 2

Answer:

15 cm^2

Step-by-step explanation:

24/58 as a whole number percent

Answers

Answer:

41.379310344828

Step-by-step explanation:

I used my paper

Зу + 9x = 12
y=mx+b

Answers

Answer:

y = -3x + 4

Step-by-step explanation:

3y + 9x = 12

subtract 9x

3y = 12 - 9x

divide by 3 on both sides

y = 4 - 3x

or

y = -3x + 4

Answer:

y=-3x + 4

Step-by-step explanation:

Convert standard form equation into y-intercept form

3y +9x=12

3y= 12-9x

Divide both sides by 3 to isolate the y (you can flip the equation if it is easier)

y= -3x+4

hope this helps and have a great day :)

Paul has $145 in his savings account. He earns $36 a week mowing lawns. If Paul saves all of his earnings, after how many weeks will he have no more than $450 saved?

Answers

Answer:

Paul will have no more than $ 450 in next 8 weeks.

Step-by-step explanation:

From the information given on statement, we know that Paul saves all of his earnings weekly. Then, the money save is equal to the sum of initial amount ([tex]C_{o}[/tex]), measured in monetary units, and week earning ([tex]R[/tex]), measured in monetary units, multiplied by a number of weeks ([tex]n[/tex]), dimensionless:

[tex]C =C_{o} + n\cdot R[/tex] (1)

Now we clear the number of weeks within the formula:

[tex]n = \frac{C-C_{o}}{R}[/tex]

If we know that [tex]C_{o} = \$\,145[/tex], [tex]C = \$\,450[/tex] and [tex]R = \$\,36[/tex], then the number of weeks is:

[tex]n = \frac{\$\,450-\$\,145}{\$\,36}[/tex]

[tex]n = 8.472[/tex]

Paul will have no more than $ 450 in next 8 weeks.

Answer:

Paul will have no more than $ 450 in next 8 weeks.

Step-by-step explanation:

17. Pour faire des petits cadeaux à ses proches, Johanne a décidé d'acheter
des petites feuilles en sucre d'érable au coût de 1,14$ chacune. Si elle a
dépensé 13,68$ au total, combien de feuilles a-t-elle achetées ?​

Answers

Answer:

12

Step-by-step explanation:

divisez 13.68 par 1.14 et vous obtenez 12.

Pour confirmer votre réponse, multipliez 1.14 par 12 et vous obtiendrez 13.68 (ce avec quoi vous avez commencé)

plssss say this makes sense i know absolutely nothing about french

Two cars are heading toward the same intersection. Car A travels due east at 20 miles per hour, and Car B travels due north at 50 miles per hour. At what rate, in miles per hour, is the distance between the two cars decreasing when Car A is 0.375 miles from the intersection and Car B is 0.5 miles from the intersection?

Answers

Answer:

the distance between them is decreasing at a rate of 2 mph.

Step-by-step explanation:

List all given rates and the unknown rate.

Write the formula that relates the variables in the problem: x, y, and s.

There’s a right triangle in the diagram, so you use the Pythagorean Theorem:

For this problem, x and y are the legs of the right triangle, and s is the hypotenuse, so

Differentiate with respect to t.

Use the Pythagorean Theorem again to solve for s.

x = 0.4

y = 0.3

You can reject the negative answer because s obviously has a positive length. So s = 0.5.

Now you’ve got everything you need to substitute into the differentiation result and solve for ds/dt.

This negative answer means that the distance, s, is decreasing. Thus, when car A is 3 blocks north of the intersection and car B is 4 blocks east of the intersection, the distance between them is decreasing at a rate of 2 mph.

What is the slope-intercept equation of the line whose y-intercept is
8 with slope -5?

Answers

Answer:

y = - 5x + 8

Step-by-step explanation:

Given that :

Intercept = 8

Slope = - 5

Recall, the general. Slope - intercept equation :

y = bx + c

Where;

b = slope ; c = intercept

Plugging the Given slope and intercept values, equation becomes ;

y = - 5x + 8

to the nearest 50 square feet what is the area of the actual store?​

Answers

the answer is C have a good day

Are the ratios 1:2 and 7:20 equivalent?

Answers

Answer:no

Step-by-step explanation:

bet you cant answer this lol









s1 = 20, s1 = 15, s1 = 9, and s1 = 6

Answers

Answer:

50

Step-by-step explanation:

Actually it’s 51................................

Can someone help me plz

Answers

Answer:Titus is going to invest $500. Bank A offers a simple interest rate of 4%, while Bank B offers an interest rate of 3% compounded annually. In the long run, after many years, which bank account will grow the largest?

Step-by-step explanation:

Please help, I’m literally crying

Answers

Answer:

1 because 91-18=1

Step-by-step explanation:

The ratio of red pens to black pens is 2:9, the ratio of black pens to blue pens is 5:4. Show less than 50% of the pens are black

Answers

Answer:

is that all?

Step-by-step explanation:

Stu is riding his bike at a steady pace of 11 miles per hour. Write an equation to model how far he travels on his bike x after riding for 30 minutes.

Answers

Answer:

you in jacksonville

Step-by-step explanation:

A bread recipe calls for 1/4 tsp of salt. How much salt is needed to make 6 loaves of bread?​

Answers

Answer:

1 1/2 tsp

Step-by-step explanation:

2x + 7 = 19
X=?
Which one is the answer

Answers

Answer:

x=6

Step-by-step explanation:

first you subtract 7 and 7 and you also have to subtract 7 and 19 and the answer will be 12 then you divide 2 and 2 to make it only x so if you divide 2 and 2 you also have to divide the 12 so 12 divided by 2 equal 6 so the x is equal to 6

Evaluate the expression, if x = 6, y = 8, and z = 4. 6x - y N​

Answers

it’s , 7

because you need to reduce the expression if possible by canceling the common factor

7

Step-by-step explanation:

first plug in all your numbers to get

6×6-8

4

then do the multiplication to get

36-8

4

next do you subtraction to get

28

4

last you divide to get

7

Pl help it’s for a grade I will give you Brainly if right

Answers

Answer:

2/4

Step-by-step explanation:

Combine like terms to simplify the expression:
2 + 7x + 3 – 5x - 1 =
A.4 + 2x
B.4 - 2x
C.6x
D.5-2x
E.5+12x

Answers

Answer:

A.  4 + 2x

Step-by-step explanation:

2 + 7x + 3 – 5x - 1

= 2 + 3 - 1 + 7x - 5x

= 4 + 2x

Can someone help me please

Answers

Answer:

| - 16 |

Step-by-step explanation:

The absolute value function always gives a positive value, that is

| - a | = | a | = a

Then

| 6 | = 6

| - 16 | = | 16 | = 16

Thus the largest number from the list is | - 16 |

i think |-16| because of its absolute value

brainliest or whatnot just answer it

Answers

Answer:

the answer is y=2x-3

Step-by-step explanation:

4/2=2 slope

1-4= -3 y-intercept

hope this helps!

help pls due in 5 minutes

Answers

Answer:

the answer to this is 7 7/10

Answer:

4th option

Step-by-step explanation:

[tex]5\frac{1}{2}*1 \frac{2}{5}=\frac{11}{2} *\frac{7}{5} =\frac{77}{10}=7\frac{7}{10}[/tex]

Why did most ancient cultures writ out their mathematical texts in words

Answers

Answer:

They had no numeral for zero in their number system.

Without a zero, it is hard to accurately represent real world problems. This makes it easier to use words rather than numbers.

Step-by-step explanation:

make it braintliest please

52,300,000 in scientific notation

Answers

Answer:

5.23 × 10 ^7

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  10  If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

How many times greater is the area circle 1( radius 12) of than the area circle 2( radius 4) of ​?

Answers

Answer:

The area of circle 1 is 9 times greater than area of circle 2.

Step-by-step explanation:

Given that:

Radius of circle 1 = 12

Area of circle 1 = πr²

Area of circle 1 = [tex]3.14*(12)^2 = 3.14*144[/tex]

Area of circle 1 = 452.16

Radius of circle 2 = 4

Area of circle 2 = [tex]3.14*(4)^2 = 3.14*16[/tex]

Area of circle 2 = 50.24

Let,

x be the number of times circle 1 is bigger than circle 2.

Area circle 1 = x * Area circle 2

[tex]\frac{452.16}{50.24}=\frac{50.24x}{50.24}\\\\x=9[/tex]

Hence,

The area of circle 1 is 9 times greater than area of circle 2.

how do I solve this ​

Answers

Answer:

4 hours

Step-by-step explanation:

120-72=48

48÷12=4

Answer:

4

Step-by-step explanation:

The total amount was $120.

A portion of the $120 was for parts.

The rest of the $120 was for service. Service cost $12 per hour.

Start with $120.

Subtract $72 to find the amount spent on service.

$120 - $72 = $48

$48 was spent on service.

The service costs $12 per hour.

$48/($12/hour) = 4 hours

Answer: 4 hours

Check:

$72 in parts + 4 hours * $12/hour = $72 + $48 = $120

4 hours is correct.

What are the answers here?

Answers

8 + 2r = -10
2r = -2

r =-1

Answer:

Step 1: Subtract 8 to -10 because it is a positive

Step 2: Divide 2r by -18

Step-by-step explanation:

Solve for X
8(x— 4) = –64
X =

Answers

Answer:

8(x-4)=-64

8x-32=-64 +32

8x=-32 :8

x=-4

Step-by-step explanation:

prove me wrong

Which equation can be used to find the missing angle?

a. X + 90 = 180
b. X + 40 = 90
c. 180 - 40 = x

Answers

Answer:

A, all three angles of a triangle equal 180

Answer:

b. x + 40 = 90

Step-by-step explanation:

This is a right triangle, so we already know one of the angles is 90 degrees. The other angles combine to make the other 90 degrees. So, we have to figure out what the other angle is, as the second one is 40 degrees.  To figure that out, use the equation x + 40 = 90. (This is extra, but x is 50, right?)

Convert 45.1% to a decimal.​

Answers

Answer:

Queen Messy here!

0.451

moving the decimals to the left when dividing (:

Step-by-step explanation:

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