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3 years ago

12

There are 45 female performers in a dance recital. The ratio of men to women is 7:9. How many men are in the dance recital? Ther

e are _____ men in the dance recital.

2 answers:

Viefleur [7K]3 years ago

7 0

Answer:

35

Step-by-step explanation:

-BARSIC- [3]3 years ago

3 0

Answer:

35 men

Step-by-step explanation:

To solve, you can divide 45/9 which you get 5. After you get 5, multiply that by 7 and you get 35. Hope this helps

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Kyle is creating a frame for a model car. He begins by piecing two rods together, as shown in the diagram. Justify why ZAEC is a

Licemer1 [7]

I think it’s d because that’s where the z would come from with the AEC right angle.

5 0

2 years ago

Katrina buys a 42-ft roll of fencing to make a rectangular play area for her dogs.

vekshin1

Answer:

(a) $l = -w + 21$

(b) Domain: $0$ <em>(See attachment for graph)</em>

(c) $f(w) = -w + 21$

Step-by-step explanation:

Given

$2(l + w) = 42$

$l = length$

$w = width$

Solving (a): A function; l in terms of w

All we need to do is make l the subject in $2(l + w) = 42$

Divide through by 2

$l + w = 21$

Subtract w from both sides

$l + w - w = 21 - w$

$l = 21 - w$

Reorder

$l = -w + 21$

Solving (b): The graph

In (a), we have:

$l = -w + 21$

Since l and w are the dimensions of the fence, they can't be less than 1

So, the domain of the function can be $0$

--------------------------------------------------------------------------------------------------

To check this

When $w = 1$

$l = -1 + 21$

$l = 20$

$(w,l) = (1,20)$

When $w = 20$

$l = -20 + 21$

$l = 1$

$(w,l)= (20,1)$

--------------------------------------------------------------------------------------------------

<em>See attachment for graph</em>

<em></em>

Solving (c): Write l as a function $f(w)$

In (a), we have:

$l = -w + 21$

Writing l as a function, we have:

$l = f(w)$

Substitute $f(w)$ for l in $l = -w + 21$

$l = -w + 21$ becomes

$f(w) = -w + 21$

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2 years ago

write in scientific notation 1. 0.0000364 2. 0.00751 3. 0.10005 4. 1,094 5. 0.00000099 6. 0.04101 7. 10,500 8. 8,9000

solmaris [256]

$1.\\0\underbrace{.00003}_{5\to}54=3.54\times10^{-5}\\2.\\0\underbrace{.007}_{3\to}51=7.51\times10^{-3}\\3.\\0\underbrace{.1}_{1\to}0005=1.0005\times10^{-1}\\4.\\1\underbrace{,094}_{\leftarrow3}=1.094\times10^3\\5.\\0\underbrace{.0000009}_{7\to}9=9.9\times10^{-7}$
$6.\\0\underbrace{.04}_{2\to}101=4.101\times10^{-2}\\7.\\1\underbrace{0,500}_{\leftarrow4}=1.05\times10^4\\8.\\8\underbrace{9000}_{\leftarrow4}=8.9\times10^4$

3 0

2 years ago

Explain how you know that 0.38 is a rational number?

dangina [55]

Answer:

0.38 is a rational number because it can be expressed as fraction, and it isn't a repeating decimal.

Step-by-step explanation:

Repeating decimals aren't rational, and all rational numbers can be expressed as a fraction, or they aren't rational.

3 0

3 years ago

Read 2 more answers

Please help! I'm getting timed.

Molodets [167]

Hi there! The answer is A.

$t = 2(s + 2)$
To get a proper idea of the type of function this formula represents we work out the parenthesis.

Working out the parenthesis can for instance be done using rainbow technique.
$t = 2s + 4$

We can now see sinilarities between this function an the general function of a line in slope intercept form
$y = mx + n$

The function t therefore describes a line with slope 2 and y-intercept 4. Therefore the answer is A.

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3 years ago