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masha68 [24]
3 years ago
12

3 Quiz

Mathematics
1 answer:
sertanlavr [38]3 years ago
5 0

Answer:

y varies of directly as x. This means that the equation is of the form y=kx where k is any number.

Substituting y=12 when x=4, we get

12=k×4⇒k=3

Hence, the required equation is y=3x.

The value of y when x=5 is y=3x5=15.

Step-by-step explanation:

bro it will work ♥️

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A utility company measures gas consumption by the hundred cubic feet, CCF. The company has a three-step rate schedule for gas cu
sweet [91]

Answer:

\$(4.65 + 0.55g)

Step-by-step explanation:

Let the number of hundred CCF of gas consumed by the customer =g

\text{When } 0 < g \leq  3\\ \text{Cost =} \$5\\\\\text{When } 3

Therefore, when the hundred cubic feet, CCF of gas consumed is more than 9, the consumer pays for the first 9 and then pays for any subsequent CCF of gas at a rate of $0.55 per CCF

\text{When g}>9  : \text{Cost =} 9.60+0.55(x-9)

=9.60+0.55g-4.95\\=\$(4.65 + 0.55g)

4 0
4 years ago
How do u define demography
Setler79 [48]
Demography is the study of human populations, in reference to size, quantities, diversity, location and distribution among the planet. Demographers look at statistics such as birth and death rates.
7 0
3 years ago
Read 2 more answers
The profit that the vendor makes per day by selling x pretzels is given by the function P(x) = - 4x +2,400x - 400. Find the numb
never [62]

We have been given that the profit that the vendor makes per day by selling x pretzels is given by the function P(x)=-4x^2+2400x-400. We are asked to find the number of pretzels that must be sold to maximize profit.

First of all, we will find the derivative of our given function.

P'(x)=-4\cdot 2x^{2-1}+2400

P'(x)=-8x+2400

Now, we will find the critical point by equating derivative with 0 as:

-8x+2400=0

-8x+2400-2400=0-2400

-8x=-2400

\frac{-8x}{-8}=\frac{-2400}{-8}

x=300

Therefore, the company must sell 300 pretzels to maximize profit and option B is the correct choice.

8 0
3 years ago
Express in its simple form: (4a2b)3?<br> (note: 2 and 3 are suppose to be small numbers)
andrey2020 [161]

Answer:

64{a}^{6} {b}^{3}

Step-by-step explanation:

(4 {a}^{2} b) ^{3}  \\  \\  =  {(4)}^{3}.( {a}^{2})^{3} . {(b)}^{3}  \\  \\  = 64. {a}^{2 \times 3}. {b}^{3}  \\  \\ = 64{a}^{6} {b}^{3}

8 0
3 years ago
You are using the equation 4(p – 7) = 44 to determine how many pictures can be saved at one time to the photo stream on your cel
Feliz [49]

Answer:

<u>p=18</u>

Step-by-step explanation:

4(p−7)=44

<em>dividing both sides by 4</em>

p−7=11

<em>adding both sides by 7</em>

p=11+7

<em>adding 11 and 7 to get</em>

p=18

4 0
3 years ago
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