Mathematics College

Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 34 liters per minute. There are 400
liters in the pond to start.
Let W represent the total amount of water in the pond (in liters), and let T represent the total number of minutes that water has been
added. Write an equation relating W to T. Then use this equation to find the total amount of water after 16 minutes.
Equation:
D=0
X
Total amount of water after 16 minutes: liters
5
?

Owners Of A Recreation Area Are Filling A Small Pond With Water. They Are Adding Water At A Rate Of 34

Answers

Answer 1

Multiply liters per minute by number of minutes and add that to the starting amount.


W = 34t + 400


now replace t with 16 and solve:

W = 34(16) = 400

W = 544 + 400

W = 944

After 16 minutes there are 944 liters in the pond

Related Questions

how to convert 8.1 into a fraction ​

Answers

Answer:

81/10

Step-by-step explanation:

Is it possible that all solutions of a homogeneous system of ten linear equations in twelve variables are multiples of one fixed nonzero solution

Answers

The answer is no, because the Rank Theorem tells us that rank A + dim Nul A = 12 . Since the rank can be at most 10, the null space has to have dimension at least two.

100 points please help

Factor 36x2 + 60x + 25.

(6 x + 5) 2
(12 x + 5)(3 x + 5)
(6 x + 5)(6 x - 5)

Answers

36x^2+60x+25=(12x+5)(3x+5)

Solve one half ÷ 8 = ___.

one seventh
one sixteenth
one twenthieth
one thirtieth

Answers

Answer:

one sixteenth

Step-by-step explanation:

I hope this helps! Have a lovely day!! :)

log7(49)=2 in exponential form

Answers

Answer:

  49 = 7²

Step-by-step explanation:

A logarithm is an exponent. The base of the logarithm is the base of the exponent. The base to that exponent is the argument of the log function.

__

The logarithm (exponent) is 2. The base is 7. The argument of the log function is 49. In exponential form, this is written ...

  7² = 49

Question 6(1 point)
QS is a tangent to circle P. Find QS.

Answers

QS = 12

PR = 5 since it is also the radius.

So if you use the Pythagorean theorem, you get sqrt(13^2 - 5^2) = 12

Select the correct answer.
What are the roots of this quadratic equation?

help

Answers

Answer:

A

Step-by-step explanation:

I took the test it was right

You need a 40\% alcohol solution. On hand, you have a 150 mL of a 20% alcohol mixture. You also have 55% alcohol mixture. How much of the 55% mixture will you need to add to obtain the desired solution?

Answers

Answer:

You need to add 200 mL of the 55%   to obtain the desired solution

Step-by-step explanation:

x=mixture you need to add

20% * 150 + 55% x = 40%(x + 150)

0.20 * 150 + 0.55x = 0.40(x + 150)

30+0.55x=60+0.40x

0.15x = 30

x=200 mL

The slope of a line is -1/3. Find the slope of a line that is perpendicular to this line.

Answers

Answer:  3

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of each other.

Answer:

Slope = 3

Step-by-step explanation:

The question is asking us to find the slope of the line that is perpendicular to the line whose slope is -1/3.

Main idea: Perpendicular lines have slopes that are opposite reciprocals.

So our task boils down to finding the opposite reciprocal of -1/3.

First, we change the sign from negative to positive. We get 1/3.

Then, we turn the number over. We get 3.

Therefore, the slope is 3.

Bill is A yr old. Write a simplified expression for his daughter's age if Bill's daughter is 28 yr younger than he is.
Bill's daughter is _____yr old?

Answers

Bill’s daughter is A-28 yr old
a-28 years old because they are telling you to subtract A from 28

What did is the total volume,in cubic feet of the shape below

Answers

Answer:

64ft^3 (The ^3 is meant to be cubed) 64 feet cubed.

Step-by-step explanation:

The picture has already split the two shapes.

*Remember Volume Formula: LWH or Length times Width times Height.*

The first shape is 4ft x 2ft x 2ft

The second shape is a little bit of a fuss but it's alright.

*Talking about the length of Shape no.2*

Since the second shape is longer than the first one (by length). You need to double it meaning: 4x2 or 4+4 = 8ft

The second shape is 8ft x 2ft x 3ft

First shape should have a volume of 16ft

Second shape should have a volume of 48ft

Now, you need to add the two volumes:

48ft + 16ft = 64ft cubed

Kari and two of her friends are entering their senior year of high school. The tables below show the estimated expenses at three tied of schools they are considering. Complete the blanks in each table and use the information to help you answer questions 1-3

Answers

The expenses for the duration of the four years that Kari will use in the university is $68600.

How to calculate expenses?

From the complete information, the expenses for the four years stay in the university will be calculated thus:

Tution = $8500

Room = $6700

Books = $1250

Miscellaneous expense = $700

Total = $17150

The expenses for the four years will be:

= $17150 × 4

= $68600

Learn more about expenses on:

https://brainly.com/question/14697297

At a track meet, Jacob and Daniel compete in the 220 m hurdles. Daniel finishes in of a minute. Jacob
finishes with of a minute remaining. Who ran the race in the faster time?
12

Answers

At a track meet, Jacob and Daniel compete in 220 m hurdles.
Daniels finishes in of the a min.
Jacob finishes with of a min remaining.
Question:
Who ran the race in faster time?
The Process:
Let us see the denominators. The least common multiple (LCM) of 4 and 12 is 12.
Let us draw the diagram that represents a minute.
12 units represent in one minute.
Daniels finishes in of the a min.
or 9 of 12 units.
Jacob finishes with of a min remaining, or 5 of 12 units. This means Jacob finishes in or 7 of 12 units, that is
And now we conclude who ran the race in a faster time.
Daniels:
Jacobs:
Because Jacob took the race in a shorter time, he was who ran the race in a faster time.
- - - - - - - - - -
Quick Steps
Daniels: in of the a min.

Jacob: in of the a min.

Jacob's time is shorter, so he's the fastest.
- - - - - - - - - -
Calculate the speed
Recall
Daniels:
Jacob:
Thus, Jacob's speed proved greater than Daniels's speed.

This is the same triangle you used for Question 2. Triangle ABC has angle measures as shown below. Using the information in the diagram, and the value of x that you calculated i Question 2, find the measure of Angle C. In your answer, give the measure of Angle C and explain how you calculated it. ​

Answers

Answer:

93

Step-by-step explanation:

So, you know the angles of a triangle added together is 180.

180-52-35=93

Write the given expression as a single trigonometric function.

2 sine (StartFraction 3 pi Over 8 EndFraction) cosine (StartFraction 3 pi Over 8 EndFraction)

Sine (StartFraction 3 pi Over 16 EndFraction)
2 sine (StartFraction 3 pi Over 16 EndFraction)
Sine (StartFraction 3 pi Over 4 EndFraction)
2 sine (StartFraction 3 pi Over 4 EndFraction)

Answers

Answer:

sin(3pi/4)

Step-by-step explanation:

I got it right on edg

Answer:

The answer is letter c

Step-by-step explanation:

find the product of -5x^3y(4x-8y)

Answers

Answer:

-20x^4y + 40x^3y^2.

Step-by-step explanation:

-5x^3y(4x-8y)

= -5x^3y * 4x + -5x^3y * -8y

= -20x^4y + 40x^3y^2

Mark bought two candy bars and a soda for $3.96. If each candy bar cost $1.10 how much did the soda cost?

Answers

Answer:

$1.76

Step-by-step explanation:

$1.10+$1.10 = $2.2

$3.96 - $2.2 = $1.76

PLS HELPP- I NEED AN ANSWER ASAP BRAINLY WILL BE GIVEN~

Answers

x-9 and x+-9 are equal

Which selection shows the correct order of points from least to greatest on the number line?
SUOSI
27 4 7 4
3 8 5 10 3
H
-2
+
0
2.
-1
A.
nim
4
5'
-
-
bu
4 7
3' 10
in
NICO
3
av
4
7
B.
4 2
5' 3'
7
3' 8' 10 de file upon two locou
2
4.
-
C.
4 7 7
5' 10' 8
3
3
4
2
7
7
D.
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3
5'
3
10
8

Answers

Answer:

  D.

Step-by-step explanation:

As is often the case with multiple choice questions, you only need to find part of a correct answer to be able to make the right choice.

The number line picture shows the left-most point has a value less than -1. That means the numerator of its negative fraction will be greater than the denominator. The only fraction like that on the list is -4/3, and the only answer choice with that listed first is choice D.

  D.  -4/3, -4/5, -2/3, 7/10, 7/8

✏Answer ✏

D. -4/3, -4/5, -2/3, 7/10, 7/8

Step-by-step explanation:

# Brainliest Bunch

what is the volume of this container 1ft 1ft 2ft

Answers

Answer:

Remember length times width times height when finding volume.

In non-terms of pi, the answer would be [tex]2[/tex] [tex]ft^2[/tex]

Answer:

Volume is 2ft

Step-by-step explanation:

Multiply the length x width once you find the answer for lengthxwidth.

Multiply the answer you got by height

peaches are being sold go $2 per pound. The customer created a model to represent the total cost of peaches bought. if x represents the number of pounds of peaches bought and y represents the total cost of the peaches, which best describes the values of x and y?

Answers

Answer:

y=2x

Step-by-step explanation:

x independent?

y dependent

positive change? so srry

=
EXPONENTS AND POLYNOMIALS
Factoring a quadratic by the ac-method
Factor by grouping (sometimes called the ac-method).
2
2x + 3x-9
-
First, choose a form with appropriate signs.
Then, fill in the blanks with numbers to be used for grouping.
Finally, show the factorization.

Answers

Answer:

5x-9

Step-by-step explanation:

Add 2x and 3x since they're like terms

5x-9

5x-9 ask your teacher about your homework

Explain the difference between yi and ŷi.

Answers

Answer:

Down:

Step-by-step explanation:

Terms in this set (23) The difference between the observed value of the dependent variable and the value predicted using the estimated regression equation; for the ith observation the ith residual is yi − ŷi. The analysis of variance table used to summarize the computations associated with the F test for significance.

B
ca
(3y +9)°
1149
4yº
D C
А
1.
o

Answers

Answer is 60
(3y + 9) + (4y) = 114
7y+9 =114 (combine like terms)
7y= 105 (Subtract 9 from both sides)
Y=15 (divide 7 from both sides)
4 x 15=60 (substitute 15 for Y)

PLEASE HELP ASAP!!! WITH EXPLANATION IF POSSIBLE!!!!!!!!!

Two chords PQ and ST of length 6cm and 10cm respectively of a circle are parallel to each other and are on opposite side of its center. If the distance between PQ and ST is 5cm. Find the radius of the circle

Answers

Answer:

Draw two parallel chords AB and CD of lengths 5 cm and 11 cm. Let the center of the circle be O. Join one end of each chord to the center.

Draw two perpendiculars OM and ON to AB and CD, respectively, which bisects the chords.

Two chords AB and CD of lengths 5 cm and 11 cm respectively of a circle are parallel to each other and are on opposite sides of its center. If the distance between AB and CD is 6 cm, find the radius of the circle.

Thus, MB = 2.5 cm and ND = 5.5 cm [The perpendicular drawn from the center of the circle to the chords bisects it.]

Let OM = x and ON = 6 - x

Consider ΔOMB

By Pythagoras theorem,

OM2 + MB2 = OB2

x2 + 2.52 = OB2

x2 + 6.25 = OB2..................(1)

Consider ΔOND

By Pythagoras theorem,

ON2 + ND2 = OD2

(6 - x)² + 5.52 = OD2

36 + x2 - 12x + 30.25 = OD2

x2 - 12x + 66.25 = OD2............... (2)

OB and OD are the radii of the circle. Therefore OB = OD.

Thus, OB2 = OD2

Equating (1) and (2) we get,

x2 + 6.25 = x2 - 12x + 66.25

12x = 60

x = 5

Substituting the value of x in (1),

OB2 = x2 + 6.25

OB2 = 52 + 6.25

OB2 = 31.25

OB = 5.59 (approx.)

Thus, we get the radius of the circle = 5.59 cm.

May anyone help me pls

Answers

Step-by-step explanation:

b is the smallest and then a , d, c, e

Question 11
1 pts
A baby was 6 lb 8 oz at birth. At one month old, she weighed 9 lb 2 oz. How much weight did the
baby gain in the first month?

Answers

Answer:

2 lb and 4oz

Step-by-step explanation:

because if you do 9lb 2oz minus 6lb 8oz you get 2 lb 4oz

Write the equation for the function graphed attached

f(x)=

Answers

Answer:

here

Step-by-step explanation:

MUTUALLY OR NOT MUTUALLY EXCLUSIVE EVENTS?​

Answers

Answer:

All are not mutually exclusive events

Find the next two numbers in the sequence 5,2,-1,…

Answers

Answer:

The answer is (-4) and (-7).

Step-by-step explanation:

Given;a₁ = 5a₂ = 2a₃ = (-1)To Find;a₄ = ?a₅ = ?Formula;aₙ = a + (n – 1) × d

Now, for common difference (d)

d = a₂ – a₁ = 2 – 5 = -3

d = a₃ – a₂ = (-1) – 2 = -3

Here, common difference is same everywhere.

So, for fourth term or n = 4

aₙ = a + (n – 1) × d

a₄ = 5 + (4 – 1) × (-3)

a₄ = 5 + 3 × (-3)

a₄ = 5 – 9

a₄ = -4

Then, for fifth term or n = 5

a₅ = 5 + (5 – 1) × (-3)

a₅ = 5 + 4 × (-3)

a₅ = 5 – 12

a₅ = -7

Thus, The fourth term is (-4) and fifth term is (-7).

Other Questions
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