Ask question

Ask question

All categories

2 years ago

15

Carolyn and Linda each saw a movie on Friday.

2 answers:

Scorpion4ik [409]2 years ago

5 0

Answer:

hope this helps

Step-by-step explanation:

15 minutes longer

1 hour 30 minutes

minus

1 hour 15 minutes

equals

15 minutes

jonny [76]2 years ago

3 0

15 minutes is the answer

You might be interested in

A piece of cardboard is 15 inches by 30 inches. A square is to be cut from each corner and the sides folded up to make an open-t

solmaris [256]

Answer:

Maximum volume = 649.519 cubic inches

Step-by-step explanation:

A rectangular piece of cardboard of side 15 inches by 30 inches is cut in such that a square is cut from each corner. Let x be the side of this square cut. When it was folded to make the box the height of box becomes x, length becomes (30-2x) and the width becomes (15-2x).

Volume is given by

V = $V = Length\times Width\times Height\\V = (30 - 2x)(15-2x)x= 4x^3-90x^2+450x\\So,\\V(x) = 4x^3-90x^2+450x$

First, we differentiate V(x) with respect to x, to get,

$\frac{d(V(x))}{dx} = \frac{d(4x^3-12x^2+9x)}{dx} = 12x^2 - 180x +450$

Equating the first derivative to zero, we get,

$\frac{d(V(x))}{dx} = 0\\\\12x^2 - 180x +450 = 0$

Solving, with the help of quadratic formula, we get,

$x = \displaystyle\frac{5(3+\sqrt{3})}{2}, \frac{5(3-\sqrt{3})}{2}$ ,

Again differentiation V(x), with respect to x, we get,

$\frac{d^2(V(x))}{dx^2} = 24x - 180$

At x =

$\displaystyle\frac{5(3-\sqrt{3})}{2}$ ,

$\frac{d^2(V(x))}{dx^2} < 0$

Thus, by double derivative test, the maxima occurs at

x = $\displaystyle\frac{5(3-\sqrt{3})}{2}$ for V(x).

Thus, largest volume the box can have occurs when $x = \displaystyle\frac{5(3-\sqrt{3})}{2}}$ .

Maximum volume =

$V(\displaystyle\frac{5(3-\sqrt{3})}{2}) = (30 - 2x)(15-2x)x = 649.5191\text{ cubic inches}$

8 0

3 years ago

18.4 + 8w = 6 (9w - 4.6)

svp [43]

Answer:

Step-by-step explanation:

18.4 + 8w = 6(-4.6 + 9w)

18.4 + 8w = (-4.6 * 6 + 9w * 6)

18.4 + 8w = (-27.6 + 54w)

18.4 + 8w + -54w = -27.6 + 54w + -54w

18.4 + -46w = -27.6 + 54w + -54w

18.4 + -18.4 + -46w = -27.6 + -18.4

Combine like terms: 18.4 + -18.4 = 0.0

0.0 + -46w = -27.6 + -18.4

-46w = -27.6 + -18.4

-27.6 + -18.4 = -46

-46w = -46

w = 1

Simplifying

w = 1

5 0

3 years ago

Read 2 more answers

Emma voluenteered at an animal sueltes for a total of 119 hours over 6 weeks. Estimare the Numbers of hours she volunteered rach

laila [671]

119/6
approximately 20

6 0

3 years ago

15 1/3 - 10 11/12 what does this equal help Mee plzzz and thanks

podryga [215]

The exact for is 53/12
Decimal form is 4.416
Mixed number 4 5/12
I hope I helped

4 0

3 years ago

Let f(x) = x^2 - 2 and h(x) = x - 1;<br> compute h(f(2))

RUDIKE [14]

Answer:

1

Step-by-step explanation:

2^2-2=2

2-1=1

hopefully you will find it helpful

8 0

2 years ago