A swimming pool has 30 gallons of water in it. Water was added to the pool at a rate of 5 gallons per second. Which equation models the relationship between t, The number of gallons of water, and W, The number of seconds water is being added to the pool?
A. t = W + 35
B. t = 35W
C. t = 5W + 30
D. t = 30W + 5

Answers

Answer 1

Answer:

t=5W+30 or C

Step-by-step explanation:

The pool already has 30 in it so you would initially be adding it, not multiplying it to anything. Then since every second 5 gallons of water is being added to the pool, you add the 30 gallons the pool already contains to 5W.


Related Questions

The longest side of triangle is 10 cm which group of line segments could form the other 2 sides of the triangle

Answer

A 5cm and 5 cm

B 7cm and 8cm

C 4cm and 4cm

D 9cm and 10 cm

Please i need to know

Answers

Answer:

The group of line segments that could form the other 2 sides of the triangle is;

B. 7 cm and 8 cm

Step-by-step explanation:

The triangle inequality theorem states that the sum of the length of any two sides of a triangle is larger than the length of the third side

The given parameter of the triangle is that the length of the longest side of the triangle = 10 cm

Let, 'a', and 'b', represent the remaining two sides of the triangle

Therefore, by the triangle inequality theorem, we have;

(1) a + b > 10 cm

(2) 10 cm + a > b

(3) 10 cm + b > a

The option that satisfies condition (1), (2), and (3) are options 'B' and 'D', for which we have;

7 cm + 8 cm = 15 cm > 10 cm

10 cm + 7 cm = 17 cm > 8 cm

10 cm + 8 cm = 18 cm > 7 cm

9 cm + 10 cm = 19 cm > 10 cm

10 cm + 9 cm = 19 cm > 10 cm

10 cm + 10 cm = 20 cm > 9 cm

Therefore, the possible combination of the other two sides are;

7 cm and 8 cm or 9 cm and 10 cm

However, a side of option 'D' is 10 cm and given that the longest side of the triangle = 10 cm, the length of each of the other two side should be less than 10 cm and the only given possible combination of the other two side should be option 'B', 7 cm and 8 cm.

Answer:

B 7cm and 8cm

Step-by-step explanation:

b. x +6 <-8 and x-1 > -1

Answers

Answer:

what is the question? please write a question.

PLEASE HURRY
select the statement that does not correctly use probability to describe an event
A. the probability of seeing the moon tonight is 8/7
B. the probability that it will rain tomorrow is 0.6
C. the probability od the cathing the ball is 45%
D. the probability of finishing homework before dinner is 3/4

Answers

It might be A

because compared to the rest, it's the odd one out. and notice that the rest are less than 100% while A is 114%

70 out of 350 calculators at a bookstore are scientific calculators. What percent of the calculators are scientific calculators?

Answers

70/350 = 0.2
0.2 x 100 = 20
it’s 20%

A rectangular swimming
pool has a perimeter of
150 meters. The length of
the pool is twice the width
of the pool. What is the
length of the pool?

Answers

Answer:

77

Step-by-step explanation:

perimeter=150

lets name the length x

length=x

width=x-2

2[x±x-2]=150

2x±2x-4=150

4x=154

154÷4=77

x=77

The length of  the pool is 50 meters and this can be determined by using the formula of the perimeter.

Given :

A rectangular swimming  pool has a perimeter of  150 meters. The length of  the pool is twice the width  of the pool.

The following steps can be used in order to determine the length of the pool:

Step 1 - The formula of the perimeter of the rectangle is given by:

P = 2(l + w)  

where l is the length of the rectangle and w is the width of the rectangle.

Step 2 - According to the given data, the length of  the pool is twice the width  of the pool that is:

l = 2w    --- (1)

Step 3 - Now, substitute the known terms in the formula of the perimeter.

150 = 2(3w)

150 = 6w

w = 25 meters

Step 4 - Now, substitute the value of w in the equation (1).

l = 2(25)

l = 50 meters.

For more information, refer to the link given below:

https://brainly.com/question/897975

9What is the Area of the Scalene triangle? Select the answer and the correct units (two selections). Need the answer ASAP.

Answers

Answers: 18
Square inches

Explanation: A=1/2bh
A=1/2*4.5*8=18
And area is in units squared and the units are inches in this problem so it would be 18 inches squared
The answer is 18 square inches

The mean test scores with standard deviations of four English classes are given below.

Class
Mean
Standard Deviation
Mrs. Jones
89
1.9
Mrs. Rijo
82
1.4
Mr. Phan
73
3.4
Mrs. Scott
90
6.1

Which statement is most likely to be true?
The scores of Mrs. Scott’s class are the closest to the class mean.
The scores of Mr. Phan’s class are the closest to the class mean.
The scores of Mrs. Jones’s class are the closest to the class mean.
The scores of Mrs. Rijo’s class are the closest to the class mean.

Answers

Answer:  the answer is B

Step-by-step explanation:

edge 2021

Answer:

b

Step-by-step explanation:

6th grade math help me please...

Answers

The correct answer is A.

Answer:

B and D

Step-by-step explanation:

a. 5t+4t =9t

b. t+5+4= t+9

c. 9t

d. 4×5×t= 20t

e. t(5+4)- do the inside the parenthesis first. =9t

the answer would me B and A because the answer isn't 9t so it would be those!! also the boxes on the right you multiply t×5 and t×4 and that would be 5t + 4t =9t

HELP!

y = 2.5x + 5.8
when x = 0.6

Answers

Answer:

[tex]y = 7.3[/tex]

Step-by-step explanation:

y = 2.5(0.6) + 5.8
y = 1.5 + 5.8
y = 7.3

4 1/3 - 1 1/2

Subtract ROADBLOCK

Answers

Answer:

17/6

Step-by-step explanation:

Answer:

2 5/6

Step-by-step explanation:

4 1/3= 13/3

1 1/2= 3/2

lowest common denominator of 3 and 2 is 6 so:

13/3*2/2=26/6

3/2*3/3=9/6

26/6-9/6=17/6

17/6= 2 5/6

use 3.14 for π

what is the area of the shaded region​

Answers

12.56

you multiply the amount of pie with the amount of feet.

PLSS HELP I NEED IT RN

Answers

Answer:

x >= -3

x is greater than or equal to -3

Step-by-step explanation:

Answer:

it going be -3

Step-by-step explanation:

The longest side is 24cm and the second-longest side is 20cm what is the length of the shortest side?

Answers

13.3cm rounded to the nearest 10th

Need Help ASAP Will Mark Brainliest

Answers

Answer:

I only know where da first one goes lol

Step-by-step explanation:

8.333333333333.... can be denoted using a fraction, therefore it's a rational number. It turns out that irrational numbers cannot be denoted using simple fractions.

All of them are rational numbers accept the last two

If x = 15 and y = 4, what is the value of the following expression?
x - 8 + 3y
A.
52
B.
19
C.
41

Answers

B is the answer. This is my work.

Kameh owns a bakery. The table below shows his recorded income and expenses for the bakery.
Month Income (s) Expenses (S)
January
1,606 1,664.75
February 1,378 1432.62
March 1,225 1,225.00
June 2,381 1,995.55
July
2,391
2,083.68
August 2,187 1,802.63
Part 1 out of 2
Drag and drop the names of the months in which the income was greater than the expenses into the box.
February
January
August
July
March
June

Answers

Answer:

The months in which the income was greater than the expenses are;

June, July, and August

Step-by-step explanation:

The recorded income and expenses for the bakery are given as follows;

[tex]\begin{array}{cccc}Month&Income \ (\$)&Expense \ (\$)& Difference \ (\$)\\January&1,606&1,664.75 & (58.75)\\February&1,378&1,432.62 & (54.62)\\March&1,225&1,225.00&0.00\\June&2,381&1,995.55&385.45\\July&2,391&2,083.68&307.32\\August&2,187&1,802.63&384.37\end{array}[/tex]

From the difference values obtained in the table above, the months in which the income was greater than the expenses are;

June, July, and August

PLEASE HELP ME!!!!!!

Answers

9514 1404 393

Answer:

  vertex: (2, -3.2)

  axis of symmetry: x = 2

  zeros: x=0, x=4

  formula for axis of symmetry:

x = <x-coordinate of vertex>x = -b/(2a) . . . . . . . where the quadratic is ax^2 +bx +cx = average of zeros, (z1 +z2)/2

Step-by-step explanation:

a) The vertex x-coordinate is halfway between the zeros, so is x = (0+4)/2 = 2. It is where the graph has a turning point.

The vertex y-coordinate is the low point of this graph. It is not on a grid line, so we can only guess at its value. I choose to call it -3.2.

The vertex is (2, -3.2).

__

b) The axis of symmetry is the vertical line through the vertex. The constant in its equation is the x-coordinate of the vertex:

  x = 2

__

c) The zeros of the function are where the function crosses the x-axis. These are marked on the graph with red dots. The zeros are x=0 and x=4.

__

d) When the quadratic is written in standard form, ax^2 +bx +c, the equation of the axis of symmetry is ...

  x = -b/(2a) . . . . . perhaps this is the formula you're being asked for (?)

When there is no equation, the axis of symmetry can be found from the graph a couple of ways. One is to identify the x-coordinate of the vertex.

  x = <x-coordinate of the vertex>

Another is to average the zeros, since they are symmetrical about the axis of symmetry.

  x = average of zeros = (z1 +z2)/2

If the quadratic is written in vertex form, the vertex coordinate is the constant in the equation for the axis of symmetry.

  y = a(x -h)^2 +k . . . . . quadratic with vertex (h, k)

  x = h . . . . . . equation of axis of symmetry

I need a minimal of 3 paragraphs explain how the problem was solved and if it’s correct, please help!

Answers

That is a question about spatial geometry.

In our problem, we have to calculate lateral surface area of a triangular prism. Let's see how to solve this.

A triangular prism has 5 faces: 3 equals rectangles and 2 equals triangles. If we can find a way to calculate those areas, we can solve the problem.

The first thing that we should note is that we know the dimensions of the rectangular faces. The dimesions of the rectangular are 5cm and 8cm. To calculate the are of a rectangle, we multiplicate the dimensios of it. Therefore, each rectangle (in our problem) has [tex]5 \times 8 = 40cm^2[/tex] of area. There are 3 rectangles, so, the sum of the 3 rectangular area is [tex]40 + 40 + 40 = 120cm^2[/tex].

Now, we need to know the area of the triangular areas. To calculate the area of a triangle, we need to know the value of the base and the value of the height.

In the image, we know the value of the base, but we do not know the value of the height. To calculate the height, we can use the Pythagorean Theorem because we have a right triangle. (Please find attached the document.)

The Pythagorean theorem says that:

[tex]\boxed{a^2 = b^2 + c^2}[/tex]

a is the hypotenuse and b and c are cathetus.

In this right triangle, the value of the hypotenuse is 5cm and the value of one cathetus is the half of 6cm (that is 3cm). Let's replace the values in the expression:

[tex]a^2=b^2+c^2\\5^2= 3^2 +c^2\\25 = 9 + c^2\\c^2 = 25 - 9\\c^2 = 16\\c = \sqrt{16} \\c = 4cm[/tex]

Now, we know the bases and the height of the triangular areas. To calculate the area of a triangle, we multiply the base and the height and we divided the result by 2. See the expression:

[tex]\boxed{A_t=\frac{b\times h} {2}}[/tex]

b is the base and h is the height. Let's replace the values in the expression:

[tex]A_t = \frac{b\times h}{2} \\A_t = \frac{6\times4}{2} \\A_t = \frac{24}{2} \\A_t = 12cm^2[/tex]

So, each triangular area has 12cm² of area. Therefore, the sum of the triangular areas is [tex]12 + 12 = 24cm^2[/tex].

Finally, we know that the sum of the rectangular area is 120cm², and the sum of the triangular area is 24cm², so, the lateral surface area is [tex]120 + 24 = 144cm^2[/tex].

In other words, they didn't choose the correct answer because the correct answer is J) 144 cm².

I hope I've helped. :D

Enjoy your studies. \o/

A company's profit from 1990 to 2020 is modeled by P(t) = .35t^2 - 10.7t + 125.38 where t=0 represents 1990. In which year did the company make the minimum profit?

Answers

Based on how the graph turns out 15 years into the business is when the company made its minimal profit.

Please help
Is that right?

Answers

Answer:

Yep your very smart

Step-by-step explanation:

Answer:

yep

Step-by-step explanation:

since a triangle's total angle is 180 degrees,

(5x + 18) + (3x + 2) + (x + 16) = 180

9x + 36 = 180

9x = 144

x = 16

m<D = (3x + 2)

m<D = 3(16) + 2

m<D = 48 + 2

m<D = 50 (your answer)

HELPPP I WILL GIVE YOU BRAINLIEST WALLAH

Answers

Answer:

78qt= 19.5 U.S. gallons

Step-by-step explanation:

I NEED HELP ASAP PLEASE

Answers

Answer: The first one is a. the second is b. The third is c and the fourth is d. All of the answers are correct

Step-by-step explanation:

convert 235% to a decimal

Answers

Answer:

2.35

Step-by-step explanation:

Answer:

2.35

Step-by-step explanation:

move decimal point left 2

In ΔKLM, m = 320 cm, ∠L=123° and ∠M=52°. Find the length of l, to the nearest centimeter.

Answers

Answer:

341

Step-by-step explanation:

l=

sin52/320sin123

​ ≈340.572≈341

m² +4m - 2

What is the answer

Answers

Answer:

Doesn't factor

Step-by-step explanation:

[tex]m^2+4m-2[/tex]

Factor

___________

Assuming you want m factored, you can follow a rule I use. Find two numbers that multiply to c (in this case -2), and use the same two numbers to add them to equal b (in this case 4).

m^2 + 4m - 2

There are no numbers that can do this, therefore this is unfactorable.

what is the volume of the cylinder shown below to the nearest hundredth of a cubic meter 3.5 m w 2 m height ​

Answers

Answer:

The answer is 76.97

Step-by-step explanation:

The formula that I used

V=πr^2h

Volume = π·3.52·2 ≈ 76.96902

Answer:76.93

Step-by-step explanation:

find the volume of metal required to make a closed box of thickness 1 cm with external measurements 12 cm × 7 cm × 10​

Answers

Answer:

The volume of the metal is:

[tex]V_{t}=548\: cm^{3}[/tex]

Step-by-step explanation:

First, let's find the volume of the front face of the square:

[tex]V_{1}=12*7*1=84\: cm^{3}[/tex]

The back face is the same, so we have:  

[tex]V_{2}=84\: cm^{3}[/tex]

The volume of the side faces will be:

[tex]V_{3}=7*10*1=70\: cm^{3}[/tex]

[tex]V_{4}=70\: cm^{3}[/tex]

And finally, the volume of the top and bottom side faces of the box will be:

[tex]V_{5}=12*10*1=120\: cm^{3}[/tex]

[tex]V_{6}=120\: cm^{3}[/tex]

The total volume of the metal will be:

[tex]V_{t}=V_{1}+V_{2}+V_{3}+V_{4}+V_{5}+V_{6}[/tex]

[tex]V_{t}=2(84)+2(70)+2(120)[/tex]

[tex]V_{t}=548\: cm^{3}[/tex]

I hope it helps you!

1. A beaker holding 1.5 litres of water is placed in a temperature-controlled room so that 120 mL of
water evaporates each day. Use "d' as the day and V(d) as the volume of water left in beaker.
a) Use function notation to write an equation for this situation.
b)
On which day there will be 900 mL of water left in the beaker? Show all calculations.
c)
Write the domain and range of the function in set builder notation (use variables provided).
Domain:
Range

Answers

Answer:

Oi tudo bem?

meu nome é Ana Kesia, e qual é o seu nome também?

Desculpe-me eu Nn consegui responder sua pergunta.

Mas mesmo assim, agradeço pelos pontos estava precisando.

tchau, tenha uma Ótima tarde!

Bons estudos nas suas atividades!

what is 2/4 x 3/5 = 3.14

Answers

Answer: It is false

Step-by-step explanation:

2/4x3/5=3.14

1/2 x 3/5=3.14

3/10=3.14

0.3=3.14

This is false

Answer:

Hey mat its me haylee id k if you remember me cuz its been a long while and im sorry about that but id like to talk again sometime soon.

Step-by-step explanation:

If the section for Rosemary has a side length of 2x and together the sections for Mint and Rosemary cover 6x2 - 2x square feet. What would be the width of the Mint section?

Answers

Answer:

3x-1

Step-by-step explanation:

Let the area of the mint section = Length * Width

Given

Area = 6x²-2x

Length

Required

Width

A = LW

Substitute

6x²-2x = 2x(W)

2x(3x-1) = 2xW

Divide both sides by 2x

2x(3x-1)/2x = 2xW/2x

3x-1 = W

W = 3x-1

Hence the width of the mint section is 3x-1

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