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3 years ago

Write a function rule for the statement. The output is five times the input.

Mathematics

1 answer:

ivann1987 [24]3 years ago

5 0

Answer:

y=5x

Step-by-step explanation:

If the input is x, then the out put is 5x. So y=5x

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(HELP PLEASE) It costs $68 for 16 square feet of flooding. How much does it cost for 12 square feet of flooring?

FromTheMoon [43]

Answer:

12 feet of flooring cost $51

Step-by-step explanation:

68/16 = 4.25

4.25 x 12 = 51

8 0

3 years ago

Read 2 more answers

Samuel spends a total of $36.75 on 1 bag of popcorn and 3 drinks. Sebastian spends a totally of $138.00 on 3 bags of popcorn and

Ivanshal [37]

Answer: A popcorn costs $9

Step-by-step explanation:

Let popcorn be represented by p

Let drinks be represented by d.

Samuel spends a total of $36.75 on 1 bag of popcorn and 3 drinks. This will be: p + 3d = 36.75

Sebastian spends a totally of $138.00 on 3 bags of popcorn and 12 drinks. This will be: 3p + 12d= 138

p + 3d = 36.75 ........... i

3p + 12d = 138 ............ ii

Multiply equation i by 3

Multiply equation ii by 1

3p + 9d = 110.25 ....... iii

3p + 12d = 138 ............ iv

Subtract equation iv from iii

-3d = -27.75

3d = 27.75

Divide both side by 3

d = 9.25

A drink cost $9.25

From equation i

p + 3d = 36.75

P + 3(9.25) = 36.75

P + 27.75 = 36.75

P= 36.75 - 27.75

P= $9

A popcorn cost $9

6 0

3 years ago

Heeeeey can i get some help here?

Elenna [48]

1. 1.09392(10^5)
2. 1.1130(10^4)
hope this helps

3 0

3 years ago

Please help due tomorrow

Salsk061 [2.6K]

Answer:

expression: x^3-2

If the number is 5: 123

Step-by-step explanation:

4 0

3 years ago

A rectangular piece of land is to be fenced using two kinds of fencing. Two opposite sides will be fenced using standard fencing

damaskus [11]

Answer:

Therefore the dimension of the rectangular piece of land is 375 m by 250 m.

Step-by-step explanation:

Given that,

Two opposite sides of rectangular land will be fenced using standard fencing that costs $6 per m while the other two side will require heavy duty fencing that costs $9 per m.

Let the length and width of the rectangular x and y respectively.

Then total cost for fencing = $\$(2x\times 6+2y\times 9)$

=$(12x+18y)

Then,

12x+18y= 9,000

⇒ 2x+3y=1,500 [ cancel out common factor 6]

⇒3y= 1500 - 2x

$\Rightarrow y=\frac{1500-2x}{3}$ ....(1)

The area of the rectangular land is = Length × width

= xy

Let,

A=xy

Putting the value of y

$A=x.\frac{1500-2x}{3}$

$\Rightarrow A=\frac13(1500x-2x^2)$

Differentiating with respect to x

$A'=\frac13(1500-4x)$

Again differentiating with respect to x

$A''=-\frac43$

Now we have to determine the critical value of A.

For critical value set A'=0

$\frac13(1500-4x)=0$

⇒1500-4x=0

$\Rightarrow x=\frac{1500}{4}$

$\Rightarrow x=375$ m

Since, $A''|_{x=375}=-\frac43$ . at x=375 m the area of the rectangular piece of land is maximum.

From equation (1) we get when x=375

$y=\frac{1500-2\times 375}{3}$

⇒y=250 m

Therefore the dimension of the rectangular piece of land is 375 m by 250 m.

3 0

3 years ago