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4 years ago

How do you write this ratio 24 messages: 10 messages as a fraction

Mathematics

2 answers:

Damm [24]4 years ago

7 0

Foreword

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Content

Ratios such as x apples to y apples can be written in fraction form as x/y. Usually ratios compare non-like objects like apples and oranges.

Anyways, we can write 24 messages:10 messages as:

$\frac{24}{10}$

It can thus be simplified. Note, however, that we cannot write this in mixed fraction form because it is a ratio; it must stay in improper form.

$\frac{24}{10} = \frac{12}{5}$

GalinKa [24]4 years ago

4 0

Hi there! A ratio is the same thing as a fraction. So, we have a ratio of 24 messages: 10 messages. That would be 24/10. If you want to simplify 24/10 that would be 12/5. But 12/5 as a mixed number would be 2 2/5.

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Two semicircles are attached to the sides of a rectangle as shown.

melomori [17]

Answer:

$157\ in^{2}$

Step-by-step explanation:

we know that

The area of the figure is equal to the area of rectangle plus the area of two semicircles

The area of rectangle is equal to

$A=14*5=70\ in^{2}$

The area of the small semicircle is equal to

$A=\pi r^{2} /2$

$r=5/2=2.5\ in$ -----> radius is half the diameter

substitute

$A=(3.14)(2.5^{2})/2=9.8125 in^{2}$

The area of the larger semicircle is equal to

$A=\pi r^{2} /2$

$r=14/2=7\ in$ -----> radius is half the diameter

substitute

$A=(3.14)(7^{2})/2=76.93\ in^{2}$

The area of the figure is equal to

$70+9.8125+76.93=156.7425=157\ in^{2}$

8 0

3 years ago

Read 2 more answers

Unsure how to do this calculus, the book isn't explaining it well. Thanks

krok68 [10]

One way to capture the domain of integration is with the set

$D = \left\{(x,y) \mid 0 \le x \le 1 \text{ and } -x \le y \le 0\right\}$

Then we can write the double integral as the iterated integral

$\displaystyle \iint_D \cos(y+x) \, dA = \int_0^1 \int_{-x}^0 \cos(y+x) \, dy \, dx$

Compute the integral with respect to $y$ .

$\displaystyle \int_{-x}^0 \cos(y+x) \, dy = \sin(y+x)\bigg|_{y=-x}^{y=0} = \sin(0+x) - \sin(-x+x) = \sin(x)$

Compute the remaining integral.

$\displaystyle \int_0^1 \sin(x) \, dx = -\cos(x) \bigg|_{x=0}^{x=1} = -\cos(1) + \cos(0) = \boxed{1 - \cos(1)}$

We could also swap the order of integration variables by writing

$D = \left\{(x,y) \mid -1 \le y \le 0 \text{ and } -y \le x \le 1\right\}$

and

$\displaystyle \iint_D \cos(y+x) \, dA = \int_{-1}^0 \int_{-y}^1 \cos(y+x) \, dx\, dy$

and this would have led to the same result.

$\displaystyle \int_{-y}^1 \cos(y+x) \, dx = \sin(y+x)\bigg|_{x=-y}^{x=1} = \sin(y+1) - \sin(y-y) = \sin(y+1)$

$\displaystyle \int_{-1}^0 \sin(y+1) \, dy = -\cos(y+1)\bigg|_{y=-1}^{y=0} = -\cos(0+1) + \cos(-1+1) = 1 - \cos(1)$

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1 year ago

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schepotkina [342]

Here are the answers: they are in red

5 0

3 years ago

(x+14)-(8-2x) equivalent to

kipiarov [429]

We are given the expression (x + 14) - (8 - 2x). The question is asking us to simplify this expression, and we can do that by first using the distributive property. This gives us x + 14 - 8 + 2x. Now, just combine like terms, which gives us 3x + 6. Therefore, the answer to your query is 3x + 6. Hope this helped and have a phenomenal day!

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3 years ago

4x - 3 = 2x + 7 okay

RoseWind [281]

Answer: ×=5

Step-by-step explanation: Add 3 to both sides. simplify. Subtract 2× from both sides of the equation and u will get ×≡5

6 0

3 years ago

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