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3 years ago

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A rectangular picture has dimensions x and x + 10. The picture is in a frame 2 inches wide. The total area of the picture and th

e frame is 875 in2. What are the dimensions of the picture? Show your work and explain how you got your answer. (if you can please do it on paper)

1 answer:

GREYUIT [131]3 years ago

7 0

Answer:

Step-by-step explanation:

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Laila made 12 muffins. Shannon made 10 muffins how many more did Laila make?

sleet_krkn [62]

Answer:

2 more muffins

Step-by-step explanation:

<em>Since, </em>

<u><em>Given that:</em></u>

<em>Laila made 12 Muffins</em>

<em>Shannon made 10 Muffins</em>

<u><em>Question to Answer:</em></u><em>
How many more did Laila make?</em>

<u><em>Solve:</em></u>

<em>Since it asking how many more laila made that means we have to subtract to find how many more laila has.</em>

<em>As given, we know that Laila made 12 Muffins and Shannon made 10 Muffins then:</em>

<em>Laila Muffins - Shannon Muffins</em>

<em>Which also means:</em>

<em>12 - 10</em>

<em>Which,</em>

<em>12 - 10 = 2</em>

<em>Hence, Laila makes 2 more Muffins than Shannon</em>

<em />

<u><em>Kavinsky</em></u>

7 0

2 years ago

Read 2 more answers

A rectangular box with a volume of 272ft^3 is to be constructed with a square base and top. The cost per square foot for the bot

ASHA 777 [7]

Answer:

The dimensions of the box is 3 ft by 3 ft by 30.22 ft.

The length of one side of the base of the given box is 3 ft.

The height of the box is 30.22 ft.

Step-by-step explanation:

Given that, a rectangular box with volume of 272 cubic ft.

Assume height of the box be h and the length of one side of the square base of the box is x.

Area of the base is = $(x\times x)$

$=x^2$

The volume of the box is = area of the base × height

$=x^2h$

Therefore,

$x^2h=272$

$\Rightarrow h=\frac{272}{x^2}$

The cost per square foot for bottom is 20 cent.

The cost to construct of the bottom of the box is

=area of the bottom ×20

$=20x^2$ cents

The cost per square foot for top is 10 cent.

The cost to construct of the top of the box is

=area of the top ×10

$=10x^2$ cents

The cost per square foot for side is 1.5 cent.

The cost to construct of the sides of the box is

=area of the side ×1.5

$=4xh\times 1.5$ cents

$=6xh$ cents

Total cost = $(20x^2+10x^2+6xh)$

$=30x^2+6xh$

Let

C $=30x^2+6xh$

Putting the value of h

$C=30x^2+6x\times \frac{272}{x^2}$

$\Rightarrow C=30x^2+\frac{1632}{x}$

Differentiating with respect to x

$C'=60x-\frac{1632}{x^2}$

Again differentiating with respect to x

$C''=60+\frac{3264}{x^3}$

Now set C'=0

$60x-\frac{1632}{x^2}=0$

$\Rightarrow 60x=\frac{1632}{x^2}$

$\Rightarrow x^3=\frac{1632}{60}$

$\Rightarrow x\approx 3$

Now $C''|_{x=3}=60+\frac{3264}{3^3}>0$

Since at x=3 , C''>0. So at x=3, C has a minimum value.

The length of one side of the base of the box is 3 ft.

The height of the box is $=\frac{272}{3^2}$

=30.22 ft.

The dimensions of the box is 3 ft by 3 ft by 30.22 ft.

7 0

3 years ago

(15 points) Which expression has a value of 5 x 10^-3

velikii [3]

Answer:

Yellow is the answer

Step-by-step explanation:

6 0

3 years ago

Average rate of change from x= 1 and x=2

iragen [17]

Answer:

What are the y values you can not find the average rate of change without the y values.

Step-by-step explanation:

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3 years ago

PLEASE HELP AND SHOW WORK

mariarad [96]

Answer:

13. It is a paralellogram, because its opposite sides are equal & parallel

14. It is a paralellogram , because it's two diagonals bisect each other .

15. Is a paralellogram, cause its opposite angles are equal

Step-by-step explanation:

3 0

3 years ago