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3 years ago

10

Write an expression for the verbal phrase:

2 answers:

Slav-nsk [51]3 years ago

4 0

Expression:

2 * x = 15

Hope that helped!

AlladinOne [14]3 years ago

3 0

Answer: 15 / 2x

Step-by-step explanation:

Hi, the answer to this question is 15 / 2x.

Quotient means the division of two numbers, In this case 15 is mentioned first, so it is the dividend and the expression "2x" is the divisor.

Product means multiply one number or variable by another. In this case, is 2 multiplied by x.

So, the final expression is:

15 / 2x.

Feel free to ask for more if it´s necessary or if you did not understand something

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Sam has 2,450 in his bank account he spends 20 dollars each week on gas money. after how many weeks will Sam's account balance f

zubka84 [21]

I think 73 because:

First I did '1,000 + x = 2,450'
Then I got 'x = 1450'
But then 20 can't go into 1450
So I just add another 10 to 1450 an got 1460
1460/20 = 73!
Hope this helps an is correct!!!

6 0

3 years ago

The data set shows the number of hours per week that each student in a class spends studying at home. What is the shape of the d

AVprozaik [17]

Answer:

The answer is symmetrical

Step-by-step explanation:

x

x x x

x x x x x

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___________________________

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4 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

A radio station had 170 tickets to a concert. They gave away 4 times as many tickets to listeners as to employees. How many tick

never [62]

Employees: 34

170÷4x +1x
170=5x
34=x

1x=34 Employees 4x= 136 Listeners

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Answer:

Fatima will nee to sell 10 cookies.

Step-by-step explanation:

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2 years ago

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