All categories

3 years ago

Which answer correctly estimates the product of 3.09 × 304.87? A. about 9.0 B. about 9.9 C. about 90 D. about 900

Mathematics

2 answers:

KiRa [710]3 years ago

8 0

The answer is D) About 900

kherson [118]3 years ago

4 0

Estimation is : 3 x 300 = 900

You might be interested in

A cone and a cylinder have the same bases and volume.How are their heights related? Explain

NikAS [45]

Answer:

Height of the cone is thrice the height of the cylinder

Step-by-step explanation:

Let 'h' b e the height of the cylinder and 'H' be the height of the cone.

Volume of cylinder = base area × h

Volume of cone = 1/3 (base area)×H

Since the volumes are equal with same base areas,

base area × h = 1/3 (base area)×H

h = H/3

Or,

3h = H

4 0

3 years ago

Read 2 more answers

A rectangular garden of area 208 square feet is to be surrounded on three sides by a brick wall costing $ 8 per foot and on one

vova2212 [387]

Answer:

Therefore the dimensions of the garden is 16 feet by 13 feet.

Step-by-step explanation:

Let the length of the garden be x and the width of the garden be y.

Given that the area of the rectangular garden is 208 square feet.

Therefore,

xy =208

$\Rightarrow y = \frac{208}{x}$

Again given that,

The garden is to be surrounded on three sides by a brick wall costing $ 8 per feet and the remaining sides by a fence costing $5 per feet.

The perimeter of the rectangle is = 2(length+ breadth)

= 2(x+y)

=2x+2y

The total cost of fence

$C= [ (2x\times 8)+(y\times 8)+(y\times 5)]$

= (16x+ 8y +5y)

$=16x+13y$

$=16x+\frac{13\times 208}{x}$

$=16x +\frac{2704}{x}$

To find the maximum or minimum point, we need to find out $\frac{dC}{dx}$ and set $\frac{dC}{dx}$ =0.

$\frac{dC}{dx}=16 -\frac{2704}{x^2}$

Then

$16 -\frac{2704}{x^2}=0$

$\Rightarrow \frac{2704}{x^2}=16$

$\Rightarrow x^2 =\frac{2704}{16}$

$\Rightarrow x=\pm \sqrt{169}$

$\Rightarrow x=\pm 13$

Again $\frac{d^2C}{dx}= \frac {8112}{x^3}$

$\therefore\left| \frac{d^2C}{dx}\right |_{x=13}= \frac {8112}{13^3}>0$

Therefore at x= 13 , the cost is minimum.

Therefore x = 13 feet.

The other side of the garden is $=\frac{208}{13}$ feet = 16 feet.

Therefore the dimensions of the garden is 16 feet by 13 feet.

4 0

4 years ago

In April, a customer buys 1 MCS Oct 50 call for 9 and sells 1 MCS Jul 50 call for 4. What will the customer's profit or loss be

Alexandra [31]

Answer:

The net gain or profit is $600

Step-by-step explanation:

Firstly, we should know the losses of the customer which were:

9 when the customer bought 1 MCS Oct 50

1 when the customer bought back 1 MCS Jul 50

Therefore the total losses were 10.

And the gains were:

4 when the customer sold 1 MCS Jul 50

12 when the customer sold 1 MCS Oct 50

Therefore the total gains were 16.

Therefore (16 - 10)×100 = $600

Therefore the net gain or profit is $600

5 0

3 years ago

Graph h(x) =(x-2)(x-4)

sveta [45]

Answer:

Check the image below

Step-by-step explanation:

Some Points that May Help: (2,0), (4,0), (1,3), (5,3), (0,8), and (6,8)

4 0

2 years ago

Triangle def is equilateral. If the perimeter of def is 36, the length of de is 5x-8, then what is the value of x

My name is Ann [436]

Answer:

Step-by-step explanation:

All the sides of an equilateral triangle are equal, hence the perimeter is expressed as P = 3s

s is one of the side length

Given DE = 5x - 8

P = 3DE

P = 3(5x-8)

36 = 3(5x-8)

36/3 = 5x-8

12 = 5x - 8

5x = 12+9

5x = 20

x = 20/4

x = 4

Hence the value of x is 4

3 0

3 years ago