Ritz can eat 8 apples in 15 minutes. How long does it take to eat 16 apples at same rate?

Answer: 7653.75 gallons

Step-by-step explanation:

Given : Height of cylinder = 30 feet

Diameter : d= 50 feet

Radius : [tex]r=\dfrac{d}{2}=\dfrac{50}{2}=25\text{ feet}[/tex]

The volume of a cylinder is given by :-

[tex]V=\pi r^2 h\\\\\Rightarrow\ V=(3.14)(25)^2(30)\text{ cubic feet}[/tex]

Also, 1 gallon equals approximately 0.13 cubic feet.

Then , the number of gallons of water in the tank :-

[tex]V=(3.14)(25)^2(30)(0.13)=7653.75\text{ gallons}[/tex]

Answer:

Step-by-step explanation:

[tex]n-second\ number\\\\\dfrac{1}{5}n-first\ number\\\\n-\dfrac{1}{5}n=\dfrac{4}{5}n-difference\ between\ the\ two\ numbers\\\\\text{Equation:}\\\\\dfrac{4}{5}n=60\qquad\text{multiply both sides ny 5}\\\\\not5\cdot\dfrac{4}{\not5}n=(5)(60)\\\\4n=300\qquad\text{divide both sides by 4}\\\\\dfrac{4\!\!\!\!\diagup n}{4\!\!\!\!\diagup}=\dfrac{300}{4}\\\\n=75\\\\\dfrac{1}{5}n=\left(\dfrac{1}{5}\right)(75)=\dfrac{75}{5}=15[/tex]

The two positive numbers are 15 and 75 respectively.

What is an expression?

Expression in mathematics is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Let the two numbers be x and y respectively. Now let corelate the statement given in question :

One positive number is 1/5 of another number which  means x=(1/5) y

and, it is also given that the difference between the two numbers is 60 which means y -x = 60. Now solving these question by substitution method.

y-x = 60

5x-x= 60

4x = 60

x = 15

y = 75

Therefore, the two positive numbers are 15 and 75 respectively.

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Answer:

7 days

Step-by-step explanation:

Given: Ms. Ache is paid $1250 per week but it's fined $100 each day she is late to work.

To Find: maximum number of days she can be late to work and still reach her goal of making at least $3000?

Solution:

per week payment of Ms. Ache =[tex]\$[/tex] [tex]1250[/tex]

Fine for getting late a day =     [tex]\$[/tex] [tex]100[/tex]

let number of days Ms. Ache gets late =  [tex]\text{x}[/tex]

Amount Ms. Ache wants to make in three weeks = [tex]\$[/tex] [tex]3000[/tex]

maximum earning potential of Ms. Ache in 3 weeks = [tex]1250\times3[/tex]= [tex]\$[/tex] [tex]3750[/tex]

Net earning = maximum earning potential of Ms. Ache in 3 weeks - total fine

                     =[tex]\$ 3750 - 100\text{x}[/tex]

To reach a goal of   [tex]\$[/tex] [tex]3000[/tex]

[tex]\$ 3750 - 100\text{x}[/tex] ≥ [tex]3000[/tex]

[tex]100\text{x}[/tex]≤[tex]750[/tex]

[tex]\text{x}\leq 7[/tex]

Maximum  number of days she can be late to work and still reach her goal of making at least $3000 is [tex]7[/tex] [tex]\text{days}[/tex]

It's 720, because all you need to do is 240 + 480 = 720.

Hope it helps,

the answer is 75 mph i took the test and it said 75 not 1.78

Answer:

its 75 i did the math a calaculator

Step-by-step explanation:

The total displacement east is: 
15 cos(45) + 15
= 25.607 m 

The total displacement north is: 
15 sin(45) 
= 10.607 m 

The magnitude of the total displacement is: 
sqrt(25.607^2 + 10.607^2) 
= 27.717 m = 27.7 m

Its direction is N x E where: 
tan(x) = 25.607 / 10.607 
x = 67.5 deg

The return displacement is therefore of the same magnitude but in the opposite direction. 
Displacement 27.7 m, direction S 67.5 deg W

The given ordered pair is the solution of y ≤ x + 2 and y ≥ x - 3. Option E is correct.

As of the given numeral, The ordered pair (–2, –4) is a solution of which system is to be determined.

Inequality is defined as the relationship of an equation containing the symbol ( ≤, ≥, <, >) instead of the equal sign.

here,
(–2, –4) is a solution of y ≤ x + 2 and y ≥ x - 3,
Proof,
Substitute this ordered paired in the inequality,

-4 ≤ -2 + 2
-4 < 0
and
-4 ≥ -2 - 3
-4 > -5

Thus,  the ordered pair supplied is the solution of y x + 2 and y x - 3. Option E is the right answer.

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Answer:

  No

Step-by-step explanation:

If these are time values, ...

  11:17 is about 5 hours 54 minutes earlier than 17:11.

___

If these are ratios, ...

  11/17 is less than 1, whereas 17/11 is greater than 1

Each is the inverse of the other.

The parametric representation of the solution set for the equation x + y + z = 2 is x = t, y = 2 - s - t, z = s, with 's' and 't' as the parameters.

To find the parametric representation of the solution set of the linear equation x + y + z = 2, we first need to express two variables in terms of the third. Let's use 's' and 't' as parameters.

We can express x and y in terms of z. Let's express z as 's'. So, z = s.

The equation x + y + z = 2 thus becomes x + y = 2 - s. We can choose x = t and y = 2 - s - t.

So, the parametric representation of the solution set for the given linear equation is (x = t, y = 2 - s - t, z = s), where 's' and 't' are parameters that can assume any real value.

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Answer:

B. Dilation.

Step-by-step explanation:

We are asked to find which transformation is not isometric.

We know that isometry preserves length.

We know that the length of a figure remains unchanged after rotation and dilation as they preserves length.

We also know that dilation either enlarges length or shrinks length of a figure, therefore, the correct choice is dilation.