To fit in an existing frame, the length, x, of a piece of glass must be longer than 12 cm but not longer than 12.2 cm. Which inequality can be used to represent the lengths of the glass that will fit in the frame?.

Answers

Answer 1
Answer: Inequality that represents the lengths of the glass:
12 cm <  x  ≤ 12.2 cm

Answer 2
Answer:

Answer:

12<x≤12.2

Step-by-step explanation:

To fit in an existing frame, the length, x, of a piece of glass must be longer than 12 cm but not longer than 12.2 cm.

The length of frame is x cm.

Length of frame must be longer than 12 cm.

Inequality,  x>12

Length of frame not longer than 12.2 cm

In equality, x≤12.2

Now we make compound inequality of question

"Length of frame, x must be longer than 12 cm and not longer than 12.2 cm"

Inequality: 12<x≤12.2

Length of glass fit in the frame, 12<x≤12.2

Hence, The inequality 12<x≤12.2


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Alex is renting a kayak from Barry's boats who charges \$7.49$7.49 per hr ++ an initial rental fee. For 22 hr it will cost him \$35.18$35.18 what is the initial fee Alex will pay

Answers

Based on the information given, the initial fee that Alex will pay will be $20.20.

Let the initial fee be represented by x.

Therefore, based on the information given, the equation to solve the question will be:

x + (7.49 × 2) = 35.18

x + 14.98 = 35.18

x = 35.18 - 14.98

x = 20.20

Therefore, the initial fee is 20.20.

Learn more about equations on:

brainly.com/question/13763238

Answer:

$20.20 is the initial fee which Alex will pay to Barry.

Step-by-step explanation:

Initial rental fees charged by Barry for his boat = x

Additional fees charged for each hour by Barry for his boat = $7.49

Duration of time for which boat was rented = 2 hours

Additional fees that will be paid by Alex for renting Barry's boat for 2 hours :

= \$7.49* 2=\$14.98

Total fees paid by Alex to Barry for renting his boat =  $35.1

\$35.18=x+\$14.98

x=\$35.18-\$14.98=\$20.20

$20.20 is the initial fee that Alex will pay to Barry.

If x and y are integers, and 3x + 2y = 13, which of the following could be the value of y ?A. 0
B. 1
C. 2
D. 3
E. 4

Answers

They are all integers so...
first lets substitute
A.3x=13
X=13/3
b.3x+2=13
3x=11
x=11/3
c.3x+4=13
3x=9
x=3
d.3x+6=13
3x=7
x=7/3

E.3x+8=13
3x=5
x=5/3

therefore the possible is letter c because it must be an integer and the definition of integer states that it is not a decimal nor a fraction

C. 2
Because
3x+2(2)=13
3x+4=13
3x=9
x=3

None of the other solutions work out so that both x and y are integers.

Which value of K will make x^2-1/4x+k a perfect square trinomial?

Answers

For this case we have the following polynomial:
 x^2 - (1)/(4)x + k
 We suppose that we have a standard equation of the form:
 ax ^ 2 + bx + c
 To make a perfect square trinomial, we need to complete the square.
 Therefore, the value of c is:
 c = ((b)/(2))^2
 Using this definition for this case, we have:
 k = (((-1)/(4))/(2))^2
 k= ( (-1)/(8) )^2
 k = (1)/(64)
 Therefore, the perfect square trinomial is:
 x^2 - (1)/(4)x + (1)/(64)
 Answer:
 
The value of k is:
 
k = (1)/(64)
1/64, because (-1/4)/2 is -1/8, and -1/8  ^2 is 1/64

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Answers

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Answers