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pogonyaev
3 years ago
13

A 63-square-foot roll of plastic wrap costs $1.89. A 9-square-yard roll costs $2.43. Which roll is a better deal?

Mathematics
1 answer:
skad [1K]3 years ago
5 0

Answer:

the 63 square-foot roll 3cents for each square foot

Step-by-step explanation:

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The distance on the number line from -10 to -2 equals 5x – 12. What is the value of x?
Troyanec [42]

It would be: - 2 - (-10) = 5x - 12

= -2 + 10 = 5x - 12

= 8 + 12 = 5x

= x = 20 / 5

= x = 4

4 0
3 years ago
In triangle abc, the perimeter is 36, and ab=ac. line ad is perpendicular to bc at the point d, and triangle abd's perimeter is
Musya8 [376]
Let x=ab=ac, and y=bc, and z=ad.

Since the perimeter of the triangle abc is 36, you have:

Perimeter of abc = 36
ab + ac + bc = 36
x + x + y = 36
(eq. 1) 2x + y = 36

The triangle is isosceles (it has two sides with equal length: ab and ac). The line perpendicular to the third side (bc) from the opposite vertex (a), divides that third side into two equal halves: the point d is the middle point of bc. This is a property of isosceles triangles, which is easily shown by similarity.

Hence, we have that bd = dc = bc/2 = y/2 (remember we called bc = y).

The perimeter of the triangle abd is 30:

Permiter of abd = 30
ab + bd + ad = 30
x + y/2 + z =30
(eq. 2) 2x + y + 2z = 60

So, we have two equations on x, y and z:

(eq.1) 2x + y = 36
(eq.2) 2x + y + 2z = 60

Substitute 2x + y by 36 from (eq.1) in (eq.2):

(eq.2') 36 + 2z = 60

And solve for z:

36 + 2z = 60 => 2z = 60 - 36 => 2z = 24 => z = 12

The measure of ad is 12.

If you prefer a less algebraic reasoning:

- The perimeter of abd is half the perimeter of abc plus the length of ad (since you have "cut" the triangle abc in two halves to obtain the triangle abd).

- Then, ad is the difference between the perimeter of abd and half the perimeter of abc:

ad = 30 - (36/2) = 30 - 18 = 12
4 0
3 years ago
Read 2 more answers
I only need number 1 i don’t understand.
valentinak56 [21]

Answer:

12

Step-by-step explanation:

in this problem there is A+b=15

A=9

B=12

5 0
3 years ago
Which polynomial is equal to (x + 1)(2x + 1)
VladimirAG [237]

Answer:

2x^2+3x+1

Step-by-step explanation:

FOIL

6 0
3 years ago
Read 2 more answers
Which measurement is most accurate to describe the amount of time it would take to drive to a city 100 miles away?
slava [35]
Probably 2 hours.
You can't drive 100 miles in 55 seconds, or 35 minutes, or 70 minutes (1.16 hrs.)

Hope this helps, good luck! :]
3 0
3 years ago
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