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2 years ago

Indicate the answer choice that best completes the statement or answers the question.

Mathematics

2 answers:

seraphim [82]2 years ago

6 0

Answer:

C. 40 in.; 70 in.

eduard2 years ago

4 0

The answer would be c. I can give an example if you want

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Anthony Tedesco sold his used mountain bike and accessories for $140. If he received 4 times as much money for the bike as he di

Zepler [3.9K]

Answer:

Step-by-step explanation:

Accessories: x

Bike: 4x

Total1: 5x

Total2: 140 dollars.

x + 4x = 140 dollars

5x = 140

x = 28

Accessories: 28

Bike: 112

3 0

2 years ago

Read 2 more answers

A page should have perimeter of 42 inches. The printing area within the page

Tamiku [17]

Overall dimensions of the page in order to maximize the printing area is page should be 11 inches wide and 10 inches long .

Step-by-step explanation:

We have , A page should have perimeter of 42 inches. The printing area within the page would be determined by top and bottom margins of 1 inch from each side, and the left and right margins of 1.5 inches from each side. let's assume width of the page be x inches and its length be y inches So,

Perimeter = 42 inches

⇒ $2(x+y) = 42\\x+y = 21\\y = 21-x$

width of printed area = x-3 & length of printed area = y-2:

area = $length(width)$

$area = (x-3)(y-2)\\area = (x-3)(21-x-2)\\area = (x-3)(19-x)\\area = -x^{2} + 22x -57$

Let's find $\frac{d(area)}{dx}$ :

$\frac{d(area)}{dx}$ = $\frac{d(-x^{2}+22x-57)}{dx} = -2x +22$ , for area to be maximum $\frac{d(area)}{dx}$ = 0

⇒ $-2x+22 = 0\\2x =22\\x=11 inches$

And ,

$y = 21-x\\y = 21-11\\y = 10 inches$

∴ Overall dimensions of the page in order to maximize the printing area is page should be 11 inches wide and 10 inches long .

7 0

2 years ago

Help me please 12 and f

zimovet [89]

Answer:

It is not equivalent.

Step-by-step explanation:

You have to expand the brackets :

(x-4)(x+3)

= x(x) + x(3) - 4(x) - 4(3)

= x² + 3x - 4x - 12

= x² - x - 12

Therefore, x² - x - 12 / (x-4)(x+3) is not equivalent to x² - 4x - 12.

6 0

2 years ago

What us the length of the longer side?

julsineya [31]

The perimeter:
$P=2\cdot(3x+3)+2\cdot2x=6x+6+4x=10x+6\\\\P=146\ units\to10x+6=146\ \ \ |-6\\\\10x=140\ \ \ |:10\\\\x=14\ units$
The length of the longer side:
$3x+3=3\cdot14+3=42+3=45\ units$

3 0

2 years ago

What is the relationship between segment ED and segment AC?

Bas_tet [7]

D midpoint of EC -----------------> FD parallel to AC and FD=AC/2=14/2=7
2-EB=EA E midpoint of AB 
DB=DC D midpoint BC ...............> ED=AC/2=2 
3-T midpoint of SR 
U midpoint of QR ---------> TU = QS/2 
QS=2 TU = 4.4 
4- The same steps SR=2 UV=9 
5-N midpoint of KM 
O midpoint of ML 
* NO parallel to Kl

6 0

2 years ago