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Tanzania [10]
2 years ago
13

Translate the sentence into an inequality. The quotient of y and 6 is at least -27.

Mathematics
1 answer:
Umnica [9.8K]2 years ago
4 0

Answer:

y \div 6 \geqslant  - 27

Step-by-step explanation:

The quotient of y and 6 means y/6 or y divided by 6. Any time you hear at least in a problem like this, it means greater than or equal to. -27 is just the other value I. the inequality. When you put it all together, you get y divided by 6 is greater than or equal to negative 27. Hope this helps!!

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There is a 909 mph gap between the two cars. So if we can divide 3636 by 909 we get 4.


Answer: 4 Hours

8 0
3 years ago
What is 11 divided by 12 as a fraction
svlad2 [7]
11/12 as a fraction is 11/12; as a decimal it is ~ 0.9167
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3 years ago
Pair the equivalent fractions.
djverab [1.8K]

Answer:

1. c      2. a     3. b

Step-by-step explanation:

The best way to prove these results are the right ones is by multiplying diagonally :

1.  1/3 = 4/12  -----> 1 . 12 = 12  ; 3 . 4 =12

2.  1/2 = 3/6 ------> 1 . 6 = 6  ;  2 . 3 = 6

3.  2/5 = 6/15 -----> 2 . 15 = 30  ;  5 . 6 = 30

The results of the multiplications must be the same if the fractions are equivalent.

3 0
3 years ago
Pam has 90 m of fencing to enclose an area in a petting zoo with two dividers to separate three types of young animals. The thre
andrew-mc [135]

Answer:

The area function is

A=\frac{135}{2}x-\frac{9}{2}x^2.

The domain and range of A is (0,15m) and (0, 253.125 m^2].

Step-by-step explanation:

The given length of fencing is 90 m.

Let the length and width of each pen be x and y respectively as shown in the figure.

As there are 3 pens, so, the total area,

A= 3 xy \;\cdots (i)

From the figure the total length of fencing is 6x+4y.

Here, for a significant area for the animals, x>0 as well as y>0 as x and y are the sides of ben.

From the given value:

6x+4y=90\;\cdots (ii)

\Rightarrow  y=\frac {45}{2}-\frac{3x}{2}

Now, from equation (i)

A=3x\left(\frac {45}{2}-\frac{3x}{2}\right)

\Rightarrow A=\frac{135}{2}x-\frac{9}{2}x^2\;\cdots (iii)

This is the required area function in the terms of variable x.

For the domain of area function, from equation (ii)

x=15-\frac{2y}{3}

\Rightarrow x [as y>0]

So, the domain of area function is (0,15m).

For the range of area function:

As x \rightarrow 0 or y\rightarrow 0, then A\rightarrow 0 [from equation (i)]

\Rightarrow A>0

Now, differentiate the area function with respect to x .

\frac {dA}{dx}=\frac{135}{2}-9x

Equate \frac {dA}{dx}  to zero to get the extremum point.

\frac {dA}{dx}=0

\Rightarrow \frac{135}{2}-9x=0

\Rightarrow x=\frac{15}{2}

Check this point by double differentiation

\frac {d^2A}{dx^2}=-9

As,  \frac {d^2A}{dx^2}, so, point x=\frac{15}{2} is corresponding to maxima.

Put this value back to equation (iii) to get the maximum value of area function. We have

A=\frac{135}{2}\times \frac {15}{2}-\frac{9}{2}\times \left(\frac {15}{2}\right)^2

\Rightarrow A=253.125 m^2

Hence, the range of area function is (0, 253.125 m^2].

4 0
3 years ago
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sergiy2304 [10]

I dont know how to answer this question

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