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3 years ago

Express 35.4% as a decimal.

Mathematics

2 answers:

lakkis [162]3 years ago

8 0

It is because the 35.4% divided the 100% total is B. 0.354

andrey2020 [161]3 years ago

7 0

It's B, because you move the decimal twice to the left

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You are designing a rectangular poster to contain 7575 in2 of printing with a 33-in margin at the top and bottom and a 11-in m

erma4kov [3.2K]

Answer:

The dimensions of the rectangular poster is 15 in by 5 in.

Step-by-step explanation:

Given that, the area of the rectangular poster is 75 in².

Let the length of the rectangular poster be x and the width of the rectangular poster be y.

The area of the poster = xy in².

$\therefore xy=75$

$\Rightarrow y=\frac{75}{x}$ ....(1)

1 in margin at each sides and 3 in margin at top and bottom.

Then the length of printing space is= (x-2.3) in

=(x-6) in

The width of printing space is = (y-2.1) in

=(y-2) in

The area of the printing space is A =(x-6)(y-2) in²

∴ A =(x-6)(y-2)

Putting the value of y

$\Rightarrow A =(x-6)(\frac{75}{x}-2)$

$\Rightarrow A = 87-\frac{450}{x}-2x$

Differentiating with respect to x

$A '= \frac{450}{x^2}-2$

Again differentiating with respect to x

$A''=-\frac{900}{x^3}$

To find the minimum area of printing space, we set A' = 0

$\therefore \frac{450}{x^2}-2=0$

$\Rightarrow 450 =2x^2$

$\Rightarrow x^2=225$

$\Rightarrow x=\pm 15$

Now putting x=±15 in A''

$A''|_{x=15}=-\frac{900}{15^3}$

$A''|_{x=-15}=-\frac{900}{(-15)^3}=\frac{900}{(15)^3}>0$

Since at x=15 , A"<0 Therefore at x=15 , the area will be minimize.

From (1) we get

$y=\frac{75}{x}$

Putting the value of x

$y=\frac{75}{15}$

=5 in

The dimensions of the rectangular poster is 15 in by 5 in.

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3 years ago

On a map, 1 inch equals 25 miles. Two cities are 2 inches apart on the map. What is the actual distance between the cities?

Levart [38]

The actual distance between the cities is 50 miles

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3 years ago

Read 2 more answers

Picture shown please help !!!

natulia [17]

Let's factor the top and the bottom.
Top factors 4x + 20 = 4(x + 5)
Bottom x^2 + 2x - 15 = (x + 5)(x - 3)

The gcf is the largest value that will go into both the top and the bottom. In our problem the ONLY thing that will go into top and bottom is x + 5 so that is your GCF. (c)

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3 years ago

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rodikova [14]

Answer:

Number 3 : describe the behavior at the end of the graph: the line is increasing, also i believe thats non linear.

Step-by-step explanation:

Because the end segment of the graph goes up that means the line is increasing.

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At a shelter,15% of the dogs are puppies. There ate 60 dogs at the shelter. How many are puppies?

Anna71 [15]

15% of 60

.15 × 60 = 9

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