Water is flowing from Tower #1 to Tower #2 in the diagram below at a rate of 20 gallons per minute. Initially, Tower #1 contained 1650 gallons and Tower #2 contained 570 gallons. (a) How many gallons does each tower contain after 5 minutes? Show your work. (b) Let m be the number of minutes it takes for the two towers to contain the same number of gallons. Set up and solve an equation for m. PLEASE HELP

Answers

Answer 1

Answer:

Tower 1=1550 gal after 5 min

Tower2=470 gal after 5 minutes

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

After 5 minutes, the amount of water that has flowed is ...

(20 gal/min)(5 min) = 100 gal

That amount has flowed out of Tower #1, so it now has ...

1650 -100 = 1550 . . . gallons in Tower #1

That amount has flowed into Tower #2, so it now has ...

570 +100 = 670 . . . gallons in Tower #2


Related Questions

the perimeter of the triangle below is 38 units. Find the length of side WX. Write your answer without variables

Answers

Answer:

5.5

Step-by-step explanation:

Add each side of the triangle.

3z+z+1+4z-3 = 8z - 2

8z - 2 is equivalent to the  perimeter.

Since you know the perimeter is 38 units, you can set 8z-2 to 38.

8z-2 = 38

Solve for z. Subtract 2 from each side.

8z = 36

Divide each side by 8.

z = 4.5

Now solve for side WX.

WX = z + 1

WX = 4.5 + 1

WX = 5.5

Which situation shows a constant rate of change.

Answers

D because it is the only one that is unpredictable

D is the answer hope this helped


Why do candidates want to win states
like Texas, Florida, and New York?

Answers

They are swing states with a large amount of electoral votes

What is the next number in the pattern below?

29, 28, 26, 23, 19

Answers

Answer:

14

Step-by-step explanation:

ive answered this

Ajay says that if you take a square number and multiply it by its
square root, you will always end up with a cube number.
Show that Ajay is correct.

Answers

Example: What is 3 squared?

3 Squared== 3 × 3 = 9

"Squared" is often written as a little 2 like this:

This says "4 Squared equals 16"

(the little 2 means the number appears twice in multiplying, so 4×4=16)

Square Root

A square root goes the other direction:

3 squared is 9, so a square root of 9 is 3

It is like asking:

Solve for a.

4(a + 3)=12 + 4a



−1
−3
all real numbers
no solution

Answers

Answer:

All real numbers

Step-by-step explanation:

Answer:

C) all real numbers

Step-by-step explanation:

4(a + 3) = 12 + 4a

open the parenthesis

4*a + 3*4 = 12 + 4a

4a + 12 = 12 + 4a

subtract 4a from both sides of the equation

12 = 12

since 12 = 12 regardless of what x is the solution is all real numbers

An error was made in the solution of the equation. Identify the mistake. . 4 -2x = -2 +4 2x = 2 22 · 6 Your answer O This is a required question​

Answers

Answer:

3.54

Step-by-step explanation:

Please help ASAP
What is the greatest common factor of 9 and 12?
3
9
36
108

So... I looked up this question before asking BUT some people said it was wrong ???? so I wanted to get some second opinions.

Answers

3 is the greatest common factor, because both numbers are divisible only by 3.

Answer:

The GCF Of 9 and 12 is 3.

Step-by-step explanation: Okay so first lets multiply! 3x1 Is 3 3x2 is 6 and 3x3 is 9, 3 x 4 equals 12! Since they both can be divided by 3, Example 12 divided by 3= 4 9 divided by 3= 3, therefore they have a GCF of 3. Remember, this is the greatest factor, not Multiple.

Could someone help me with this math problem. I really need help I have a test tomorrow so I need help with this.

Answers

Answer:

A. x ≥ -3 and x < 2, or -3 ≤ x < 2

Step-by-step explanation:

Remember solid dot means include, open dot means not include.

x ≥ -3: this means x is greater and equal (includes) -3.

x < 2: this means x is less than 2 and does not include it.

Answer:

A

Step-by-step explanation:

So on the number line you see a closed circle at -3 and an open circle at 2.

Closed circle represents it's either [tex]\leq[/tex] or [tex]\geq[/tex]. Open circle represents < or >.

So the first part has a closed circle at -3 and goes towards the right side. Since it does that, it would be [tex]x \geq -3[/tex].

The second part has an open circle at 2 and goes towards the left side. Since it does that, it would be [tex]x < 2[/tex].

To combine it together, it would get [tex]-3 \geq x < 2[/tex].

Since option A is [tex]x \geq -3[/tex] and  [tex]x < 2[/tex], or [tex]-3 \geq x < 2[/tex], A would be the answer.

Hoped this helped! If not, please let me know and I'll try to explain more! <3

Write 3 Equivalent ratios for the following ratio: 3:4

Answers

Answer:

3:4=6:8=12:16=24:32

Step-by-step explanation:

To find an equivalent ratio, you just need to multiply or divide both quantities by the same number.

Write an expression for the sentence: Joe has $12 and he earns $8 per hour

Answers

Answer:

12+8x ugh I gotta type some more bcuz it has to be 12 characters lol

I have 90 pancakes for a party. Each person gets 3 pancakes. How many people can come to the party before I run out of pancakes?

Answers

Answer:

30 people

Step-by-step explanation:

90 divided by 3 would 30 so 30 people could come to the party before she ran out of pancakes

are these lines perpendicular? yes or no?
y= 4x+2
y= (-1/4)x+12

Answers

Answer: yes

Step-by-step explanation:

The image above shows a linear pair. Solve for x:

x = 12.14
x = 12.14

x = 25
x = 25

x = 28.33
x = 28.33

x = 58.33
ANSWER FAST PLEASE WILL GIVE BRAINLIEST!!!!

Answers

Answer:

x = 25 :)

Step-by-step explanation:

(5x+10)+(2x-5)=180

then solve!

hope this helps

Answer:

The answer is X = 25

Step-by-step explanation:

Look at Data Set A
1 3 3 2 4 0 4 3 3 5 2
Identify whether this will be normal distribution or skewed left or right? (Hint: find the five number summary and make a box plot)
O skewed left
O skewed right
O normal distribution

Answers

The answer is skewed in the right direction

The distribution of set A is a normal distribution

The data in set A is given as:

1 3 3 2 4 0 4 3 3 5 2

Represent the dataset as a plot, as follows

0

1

2 2

3 3 3 3

4 4

5

Notice that the plot above increase from 0, then reaches a maximum at 3, and then decreases from 3 to 5

This implies that it follows a bell curve.

When a distribution follows a bell curve, such data is a normal distribution.

Hence, the distribution is a normal distribution

Read more about normal distribution at:

https://brainly.com/question/14644201

8 added to f is the same as 385
Write the sentence as an equation

Answers

Answer:

8 + f = 385

Step-by-step explanation:

8 added to f is the same as 8 + f.

The equal sign is basically "same as"

So 8 + f is "same as" 385.

Answer:

377

Step-by-step explanation:

8 + f = 385

subtract 8 from 385

385 - 8 = f

f = 377

Which expression is equivalent to X4 - 18X2 +81?
(x-g)(x² +9)
2.
of +9)(x2 +9)
3.
(9-x)(9+x2)
(x² - 9)(x² – 9)
4
Math

Answers

I can’t upload any working right now so I hope you’ll understand from an explanation, all it is is a hidden polynomial. You can say:

Let y=x^2
Then the equation becomes:
y^2 - 18y + 81
Factorise that to give you:
(y-9)(y-9) Or (y-9)^2
But remember, y=x^2. So the equation becomes:
(X^2-9)(X^2-9)

Hope this helped :)

I will mark brainliest if you can help with these and show work plus 40 points

Answers

Answer:

Step-by-step explanation:

Which set of coordinate pairs do NOT represent a linear function?
(−4, −12), (−3, −10), (−2, −8), (−1, −6)

(−4, −17), (−3, −10), (−2, 5), (−1, 2)

(1, −7), (2, −10), (3, −13), (4, −16)

(1, 1), (2, 4), (3, 7), (4, 10)

Answers

Answer:

(-4, -17), (-3, -10), (-2,5), (-1,2)

All the coordinates are represent linear function.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The coordinates are,

⇒ (-4, -12), (-3,-10), (-2, -8), (-1,-6)

⇒ (-4, -17), (-3, -10), (-2,5), (-1,2)

⇒ (1, -7), (2, -10), (3, -13), (4, -16)

⇒ (1, 1), (2, 4), (3, 7), (4, 10)

Now,

We know that;

A relation between a set of inputs having exactly one output each is called a linear function.

Clearly, All the coordinate have exactly one output for every input.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ6

3. A new a bank customer with $3,000 wants to open
a money market account. The bank is offering a
simple interest rate of 1.9%
a. How much interest will the customer earn in 20 years?

Answers

Answer:

In 20 years, the customer earns 1330

Step-by-step explanation:

I =Prt

the formula for simple interest

P= 3000

r = 1.9% (0.019)

t = 20 years

(3500)(0.019)(20)= 1330

u have to solve quadratic equations algebraically ,if u are math nerd pls help, Solve the equation 6x=2x^2+1

Answers

Answer: here you go sir

Step-by-step explanation: I couldn’t put it on here because I had to put certain symbols. Hope this helps!

are the ratio 1:2 and 9:10 equivalent ?

Answers

Answer:

Not in the slightest

Step-by-step explanation:

Question 1
8 pts
1) Drew is an artist. He paints portraits. The table below
shows the number of portraits painted in hours. Do the
numbers in the table represent a proportional relationship?
Number of portraits Time (In Hours)

1
5
2
10
3
15
4.
20
WN
yes
no
No answer text provided.
No answer text provided.

Answers

Answer: Yes

If you notice, you can actually see that each number is multiplied by 5:

1 x 5 = 52 x 5 = 103 x 5 = 154 x 5 = 20

Hope this helps you!

Cyclone cleared leaves from the same number of yards
each day for 5 days. Then on day 6, he cleared the leaves
from 8 more yards. He cleared 133 yards in all.

Answers

Answer:

Number of yards per day = 20.83 yard (Approx)

Step-by-step explanation:

Assume;

Number of yards = x per day

Number of yards on 6th day = x + 8

Total yards = 133

Find:

Number of yards per day

Computation:

Total yards = 5[x] + x + 8

133 = 6x + 8

6x = 125

x = 20.83 yard

Number of yards per day = 20.83 yard (Approx)

Answer:

20.83 yards

Step-by-step explanation:

Calculate Cubic Yards

Calculate your area

Calculate your volume: Multiply area times the depth to get volume in cubic feet

Calculate your cubic yards: Divide cubic feet by 27 to convert to cubic yards and this is your answer

Where ft2 = square foot, ft3 = cubic foot, yd3 = cubic yard

Total yards = 5[x] + x + 8  

Solve

133 = 6x + 8

6x = 125

x = 20.83 yard

Therefore, the Cyclone cleared 20.83 yards on the first day.

What is 6.92 x 10-3 written in standard form?

Answers

The standard form is 0.00692

The graph of f(x) = x^2 has been shifted into the form f(x) = (x − h)2 + k:
What is the value of h?
1
-1
-3
3

Answers

It’s most likely to be 3

The library is 0.96 mile away from Theo’s home. Write this distance as a fraction in simplest form

Answers

Answer:

the answer is 24/25

hope it helps have a nice day! :)

Solve x3 = 64 over 27

Answers

Answer:

x= 4/3

Step-by-step explanation:

Answer:

Hope it helps

Step-by-step explanation:

So you want to get x by itself.

x3= [tex]\frac{64}{27}[/tex]

You could simplify

x3=2.37037037037

Then just divide 3 on both sides

x=0.79012345679

Or you can divide a fraction by a whole number and just divide the numerator and the denominator by 3.

x= [tex]\frac{21.3}{9}[/tex] or just 2.36666666667.

Solve the proportion for x.

StartFraction two-thirds over 5 EndFraction = StartFraction x over 15 EndFraction
x = 2
x = 3
x = 5
x = 10

Answers

Answer:

2

Step-by-step explanation:

had that answer on eg

Answer:

x=2

Step-by-step explanation:

If the measures of two angles of a triangle are 96° and 34°, what is the measure of the third angle?
The measure of the third angle is (Simplify your answer.)

Answers

Answer:

50

Step-by-step explanation:

Triangle=180 degrees

96+34=130

180-130= 50

50 degrees is the third angle

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