Danny charges $45 for 5 hours of swimming lessons, Martin charges $24 for 2 hours of swimming lessons.
Who offers a better deal?
(select) offers the better deal.

Answer:

76.09 pounds

Step-by-step explanation:

From the information given:

[tex]R_{in} = (\dfrac{1}{2} \ lb/gal ) *(6 \ gal/min)[/tex]

[tex]R_{in} =3 \ lb/min[/tex]

At a slower of 4 gal/min, the solution gets pumped out;

So,

[tex]R_{out} = \dfrac{4A}{100+(6-4)t }[/tex]

[tex]R_{out} = \dfrac{2A}{50+t }[/tex]

The differential of the equation is:

[tex]\dfrac{dA}{dt}+ \dfrac{2}{50+t}A=3 ---(1)[/tex]

For the linear differential equation, the integrating factor is determined as:

[tex]\int_e \dfrac{2}{50 +t}dt = e^{2 In|50+t|[/tex]

[tex]= (50+t)^2[/tex]

Multiplying [tex](50+t)^2[/tex] with the above integration factor;

[tex](50+t)^2 \dfrac{dA}{dt} + 2 (50+t) A = 3(50 +t)^2[/tex]

[tex]\dfrac{d}{dt}[ (50 +t)^2 A] = 3(50+t)^2[/tex]

[tex](50+t)^2 A = (50 +t)^3 + c[/tex]

[tex]A = (50 +t) + c (50 +t )^{-2}[/tex]

By using the given condition:

A(0) = 40

40 = 50 + c (50)⁻²

10 = c(50)⁻²

OR

c = -10 × 2500

c = -25000

A = (50 + t) - 25000(50 + t)⁻²

The number of pounds of salt in the tank after 30 min is:

A(30) = (50+30) - 25000(50 + 30)⁻²

[tex]A(30) = 80 - \dfrac{25000}{6400}[/tex]

[tex]A(30) = 76.09 \ pounds[/tex]

Thus, the number of pounds of salt in the tank after 30 min is 76.09 pounds.

Answer:

[tex]16x < - 64 \\ x < - \frac{64}{16} \\ x < - 4[/tex]

hope this helps.

A Cause I'm big brain and we learned that

Answer:

U

Step-by-step explanation:

Answer:

V

Step-by-step explanation:

Sum of angles in a triangle = 180°

66c + 40c +74c = 180°

106c + 74c =180

180c = 180

c=1

Side v is the largest

Answer:

$89.00

Step-by-step explanation:

(2*22)+(3*15)= 89

9514 1404 393

Answer:

  B.  3b -0.51b

Step-by-step explanation:

The factor outside parentheses multiplies each term inside parentheses.

  3(b -0.17b) = 3(b) +3(-0.17b) = 3b -0.51b . . . . note the minus sign

The term 3b represents the original price of 3 loaves of bread.

The term -0.51b represents the total discount on the price of 3 loaves of bread.

They would be outraged and make a mockery of the idea, since they belived that girls should remain at home doing chores and learn to cook instead of getting a education.

Answer:

I would think its 249 because 9 divided 3= 3 because 3 feet is 1 yard and then you do 83x3 and then you get 249.

Step-by-step explanation:

Answer:

T is correct (the fourth answer)

Step-by-step explanation:

Step-by-step explanation:

I believe it's graph T..

Answer:

y = 7   x = 9

Step-by-step explanation:

2y-x=8

2(2y-x=8)

4y-2x=16

-(y-2x= -5)

3y +0x= 21

3y=21

y=7

2(7)-x=8

14-x=8

9=x

Answer:

f(x) = - 1 should be the answer because the function is horizontal.

Step-by-step explanation:

Answer:

In 25 years, Tina will have $354,452.86

Step-by-step explanation:

Monthly Contribution - $366.69 (Tina & Employer)

Length of Time in Years - 25

Estimated Interest Rate - 8.1%

Compound Frequency - Monthly

Answer:

Mabey 102 try that.

Step-by-step explanation:

Hope this helps!

Answer:

it's a reduction because it's smaller than the original shape

Step-by-step explanation:

(a reduction means the new shape is smaller than the original, and an enlargement means the new shape is bigger than the original one)

Answer:

Step-by-step explanation:

reduction

Answer:

£144.00

Step-by-step explanation:

1.60 x 90 = 144

Hope this Helps (✿◡‿◡)

Answer:

£148.50

Step-by-step explanation:

you first have to change £1.65 into a whole number

165×90=14850

14850 × 100 = 148.50

Answer:

Step-by-step explanation:

To get maximum product we need to optimize how we break down the numbers

Its obvious we don't want number 1 to be used as it won't change the product

Also we don't want to use big numbers, we can have four 5's instead of two 10's as it would give greater product, 5*5 > 10

What is best number?

So the best is to break the number down to 2's and 3's

As we see the maximum product we can get is 4374 with seven 3's and one 2.

Hence the numbers are:

Answer:

your answer should be     3, 3, 3, 3, 3, 3, 3, 2

Answer: 7.2ft not sure if ur rounding answers. If nearest whole number than 7ft.

Step-by-step explanation:

Use Pythagorean theorem.

4^2 + 6^2 = c^2

16 + 36 = 52 = c^2

C = 7.2ft

Answer: I do not know

Step-by-step explanation:

Answer: 9.22 (This is rounded)

Step-by-step explanation:

20% off of 10.90 is 2.18. So, you subtract that from 10.90 and you get 8.72. Then, you find the tax rate which is 0.5014. When you round it, you should get 0.50. After that, you add it to 8.72 since it’s the tax. That then gets you 9.22.

Answer:It's called the "y intercept" and it's the y value of the point where the line intersects the y- axis. For this line, the y-intercept is "negative 1." You can find the y-intercept by looking at the graph and seeing which point crosses the y axis. This point will always have an x coordinate of zero.

Step-by-step explanation:

The Y intercept of a straight line is simply where the line crosses the Y axis.

Example

Y intercept

In the above diagram the line crosses the Y axis at 1.

The Y intercept is equal to 1 and the point is written as (0,1). Notice that for the y-intercept the x-coordinate of the point is always zero..

Answer:

3 cantaloupes

Step-by-step explanation:

Since there are 24 students if you divide 24 by 3 it equals  8 so eat cantaloupe should be cut into 8 pieces. So, Mr.chu should buy 3 cantaloupes and cut each of the cantaloups in 8 equivalent slices for the students.

Answer:

How many variables?

Step-by-step explanation:

Answer:

2 pieces

Step-by-step explanation:

Given

[tex]Length = 1\frac{2}{3}m[/tex]

[tex]Pieces = \frac{3}{4}m[/tex]

Required

Determine the number of pieces

To do this, we simply divide the length of the wood by the length of each piece.

[tex]Number = \frac{Length}{Pieces}[/tex]

[tex]Number = 1\frac{2}{3}/\frac{3}{4}[/tex]

Convert fraction

[tex]Number = \frac{5}{3}/\frac{3}{4}[/tex]

Change sign to *

[tex]Number = \frac{5}{3}*\frac{4}{3}[/tex]

[tex]Number = \frac{20}{9}[/tex]

[tex]Number = 2.2222[/tex]

[tex]Number = 2[/tex] (approximated)

Answer:

1 2 3 6 7 11 22 26 33 66

Step-by-step explanation:

I did the math

I am a College Major at UOF in Florida

Mark me Brainliest!!!!

Hey there!

“What are the factors of 66?”

1 * 66 = 66

2 * 33 = 66

3 * 22 = 66

6 * 11 = 66

Answer

66 factors are…. 1, 2, 3, 6, 11, 22, 33, and 66.

• 1, 2, 3, 6, 11, 22, 33, & 66

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

10(10)-3(10)-2/4+5=149/2 (decimal 74.5)

Answer:

5 cups

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

∠ACE and ∠ECB form a straight angle whose sum = 180°, hence

2x + 2 + 5x + 3 = 180

7x + 5 = 180 ( subtract 5 from both sides )

7x = 175 ( divide both sides by 7 )

x = 25 → C

Answer:

the boxes to the left should say 2 and and 10 and the box to the right should be 18

Step-by-step explanation:

Answer:

8.25 minutes

Step-by-step explanation:

31 minutes-6.25 minutes=24.75 remaining miutes between the last 3 miles so then you take 24.75 minutes÷ 3 miles remaining= 8.25 minutes each last 3 miles