a water tank is filled with 10 gallons of water in 2 minutes. what is the volume of the water, in gallons, that is in the tank in 1 minute?

Answer:

the answer is

Answer:

Step-by-step explanation:

To find the time at which both balls are at the same height, set the equations equal to each other then solve for t.

h = -16t^2 + 56t

h = -16t^2 + 156t - 248

-16t^2 + 56t = -16t^2 + 156t - 248

You can cancel out the -16t^2's to get

56t = 156t - 248

=> 0 = 100t - 248

=> 248 = 100t

=> 2.48 = t

Using this time value, plug into either equation to find the height.

h = 16(2.48)^2 + 56(2.48)

Final answer:

h = 40.4736

Answer:

x  =  14 ft

y  =  56 ft

A(max corral)  =  784/3   =  261.33 ft²

Step-by-step explanation:

Let´s call y the side parallel to the barn, then only one y is going to be fenced.

If we are going to divide the area in three identical corrals we need 4 times x ( the other side perpendicular to the barn)

The perimeter of the rectangular area ( divide in three identical corrals)

112  =  y  +  4*x        or    y  =  112  -  4*x

A (r)  =  x*y

Area as a function of x  is

A(x) = x* ( 112  -  4*x)        A(x)   =  112*x  -  4*x²

Tacking derivatives on both sides of the equation

A´(x)  =  112  - 8*x       A´(x) = 0    112  -  8*x  =  0

x  =  112/8

x  =  14 ft

And  y  =  112  -  4*x     y  =  112 - 56

y  =  56 ft

A(max)  =  14 * 56  =  784 ft²

A(max corral)  =  784/3   =  261.33 ft²

How do we know the area is maximum, tacking the second derivative

A´´(x)  =  - 8     A´´(x) < 0

Then the function A(x) has a maximum at the point x = 14

Answer:

14ft by 18 2/3 ft

Step-by-step explanation:

Area of complete triangle= 1/2 ×6 ×9 = 27 Sq Unit.

Area of rectangle inside triangle = 2× 5 = 10 sq unit.

area of the gray part of the triangle =Area of triangle - Area of rectangle = 27-10 = 17 Sq unit

Gray area = Big triangle area - white

rectangle area

Gray area = 1/2 × 6 × 9 - 2 × 5

Gray area = 3 × 9 - 10

Gray area = 27 - 10

Gray area = 17

Answer:

The answer is C

Step-by-step explanation:

there is no explanation

Answer:

2 hours

Step-by-step explanation:

Let t represent the anount of time traveled by Chelsea

Katie

d= 18t

Chelsea

d= 6(4+t)

18t= 6(4+t)

18t= 24+6t

18t-6t= 24

12t= 24

Divide bith isdes by the coefficient of t which is 12

t= 24/12

t= 2

Hence Katie will have to travel for 2 hours before catching up with Chelsea,

Step-by-step explanation:

Total amount of cookies = 4250

butter cookies, b

Almond cookies, a

Chocolate cookies, c

It made 715 more butter cookies than

almond cookies

b = a + 715

It made 5 times as many chocolate cookies as almond

5a = c

Total amount of cookies

= a + b + c

= a + (a+715) + (5a)

= 7a + 715

7a + 715 = 4250

7a = 4250-715

a = 3535 / 7

a = 505

c = 5a

= 5 (505)

= 2525

The factory make 2525 chocolate cookies.

The number of chocolate cookies made by the factory is 2525 cookies

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total number of cookies = 4250 cookies

Let the number of almond cookies be = a

Let the number of butter cookies be = b

Let the number of chocolate cookies = c

So , the equation is

a + b + c = 4250   be equation (1)

Now ,

715 more butter cookies than almond cookies

Butter cookies b = 715 + a   be equation (2)

And , 5 times as many chocolate cookies as almond cookies

Chocolate cookies c = 5a   be equation (3)

So , substituting the values of a , b and c in equation (1) , we get

a + ( a + 715 ) + 5a = 4250

7a + 715 = 4250

Subtract 715 on both sides of the equation , we get

7a = 3535

Divide by 7 on both sides of the equation , we get

a = 505 cookies

Substitute the value of a in equation (2) , we get

b = 715 + a

b = 715 + 505

b = 1220 cookies

Substitute the value of a in equation (3) , we get

c = 5a

c = 505 x 5

c = 2525 cookies

Hence , number of chocolate cookies made by the factory is 2525 cookies

To learn more about equations click :

https://brainly.com/question/10413253

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Answer:

Slope: 7/5

Step-by-step explanation:

Slope is rise over run, so from the first dot to the second one, it rises by seven and runs by 5.

Hope this helped :)

Answer:

The answer is letter D

Explanation:

Hope it helps!

Answer:

D is the right answer ✔

Explanation:

Answer:

I'm guessing 60

Step-by-step explanation:

84% sure tho

Answer:

When a cone and cylinder have the same height and radius the cone will fit inside the cylinder. The volume of the cone will be one-third that of the cylinder. If the radius or height are different, then there is no relationship between them.

Step-by-step explanation:

Answer:

[tex] \tan(A) = \frac{opp}{adj} \\ \tan(A) = \frac{ \sqrt{72} }{3} \\ \tan(A) = \frac{ \sqrt{36 \times 2} }{3} \\ \tan(A) = \frac{6 \sqrt{2} }{3} \\ \tan(A) = 2 \sqrt{2} [/tex]

Answer:

Part A - No

Part B - 100 %

Step-by-step explanation:

Part A.

This is because, a fair chance requires that each member has the same probability of being picked.

Since there are 4 towns, a fair chance would be 1/4.That is, 1 out of every town.

Part B

The probability of at least 1 representative after 6 number draws is P(at least 1)  = 1 - P(none from Town 1)

P(none from town 1) = 0

P(at least 1)  = 1 - P(none from Town 1)

P(at least 1)  = 1 - 0 = 1

In percentage 1 × 100 % = 100 %

Answer:

I have no ideal dat is it okkkkkkk

202203948575895959539393939

Answer:

the answer is 3.14 x 3 ^2

Step-by-step explanation:

the radius is half of 6 so 3 then add pi so 3.14 x 3 ^2

use this same concept for other similar question just divide  the full length of the circle in half the radius the just look for the answer that has the radius pi and squared

Answer:

(x + 5) and (x -1)

Step-by-step explanation:

Given

The attached graph

Required

The [tex]factors[/tex] of the graph

The x [tex]values[/tex] are where the [tex]curve[/tex] [tex]touches[/tex] the x-axis

The first is at:

[tex]x = -5[/tex]

Add 5 to both sides

[tex]x +5= -5+5[/tex]

[tex]x +5= 0[/tex]

This implies that the first factor is: (x + 5)

The second is at:

[tex]x =1[/tex]

Subtract 1 from both sides

[tex]x - 1 = 1 - 1[/tex]

[tex]x - 1 = 0[/tex]

This implies that the other factor is: (x - 1)

Answer:

First question: C. 20 7/12

Second question: B. 242

Third question: D. 4.8

Fourth Question: C. 2 5/18

Step-by-step explanation:

Answer:

20 7/12

Step-by-step explanation:

=6 1/2 + 4 2/3 + 9 5/12

=19 19/12

=19 + 1 7/12

=20 7/12

Answer:

39,80,89

Step-by-step explanation:

Right triangles hypotenuse squared should equal the sum of its other side lengths. A^2+B^2=C^2. The hypotenuse is the longest length (89).

39^2+80^2=89^2

7921=7921

Answer:

C. 69.08 inches

Step-by-step explanation:

Find the distance the wheels will travel by finding the circumference of the wheel.

Use the circumference formula, C = 2[tex]\pi[/tex]r

Plug in 11 as r in the equation, and 3.14 as pi, then solve:

C = 2[tex]\pi[/tex]r

C = (2)(3.14)(11)

C = 69.08

So, the correct answer is C. 69.08 inches

Answer:

69.08 inches

Step-by-step explanation:

We can plug in the known value into the equation for circumference: [tex]C = 2\pi r[/tex]

Using 3.14 as [tex]\pi[/tex] we get:

[tex]C=69.08[/tex]

Now multiply the circumference by revolutions to get distance:

69.08 x 1 = 69.08

Note that the distance is in inches because the radius is in inches.

Answer:

B

Step-by-step explanation:

The line crossed the y axis at 4 and the slope is -2. you can do rise/ run to find the slope which is -2/1 or -2

Answer:

for B based on the information givin the answer would be 8 4/7

hope this helps

Answer:

60/7 or 8 4/7

Step-by-step explanation:

Take the length of one of your rods and multiply by 15.

4/7 x 15/1 = 60/7 or 8 4/7

Answer:

(9)(x)(y) or 9(x + y)

Step-by-step explanation:

Answer:

Sample Answer for Edmentum

Step-by-step explanation:

Answer: 0.0112%

Step-by-step explanation:

Answer:

The answer is K

Answer:

k

Step-by-step explanation:

Answer:

117 sq in

Step-by-step explanation: