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Vesnalui [34]
3 years ago
6

Emil is cutting a 72-inch-long board and a 54 in long board into shelving. He wants to make as many shelves as he can while usin

g up all the wood. What is the longest possible length of the shelves?
Mathematics
1 answer:
vladimir1956 [14]3 years ago
8 0

Answer: The longest possible length of the shelves =  18 inches

Step-by-step explanation:

Given: Lengths of two boards are  72-inches and 54 inches.

To make as many shelves as he can while using up all the wood we will find the longest possible length of the shelves = HCF ( 72, 54)

72 = 2 x 2 x 2 x 3 x 3

54 = 2 x 3 x 3 x 3

HCF(72,54) = 2 x 3 x 3 = 18

Hence, the longest possible length of the shelves =  18 inches

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Stacy uses a spinner with six equal sections numbered 2, 2, 3, 4, 5, and 6 to play a game. Stacy spins the pointer 120 times and
Alex17521 [72]

Answer:

The solution is given below;

Step-by-step explanation:

The computation is shown below:

There is six equal sections are numbered i.e. 2, 2, 3, 4, 5, and 6.

And, Number of Outcome of 2 on the Spinner is 2

Also, total Number of Sections is 6

As the winning spin is a 2

So, The theoretical probability of winning

= 2 ÷6 × 100

= 33.33%

Now

There is a total no of trials be 120

And, the number of outcome of 2 be 30

So, the experimental probability is 30 ÷ 120 = 1 ÷ 4 × 100 = 25%

As 33.3%>25%, this represent that the theoretical probability of winning would be greater.

6 0
3 years ago
Read 2 more answers
Simplify the expression (2y+1)-4y^2+2
Katena32 [7]

Answer:

-4y^2+2y+3

Step-by-step explanation:

(2y+1)-4y^2+2

2y+1-4y^2+2

-4y^2+2y+1+2

-4y^2+2y+3

5 0
3 years ago
Read 2 more answers
How many bottles of chocolate can you buy with $20 if one cost $4?<br> One step equation
Ulleksa [173]
You can buy 5 bottles because $4 times 5 equals $20. I hope this helps :)
6 0
3 years ago
Read 2 more answers
the numbers of girls in the choir is 4 times the number of boys in the choir .the total number of students is 60..how many girls
Inessa05 [86]
First, make up some variables to represent the number of Girls and Boys in the choir.  

B = number of boys
G = number of girls

You know that there are 4 times as many girls in the choir as boys.  Therefore, the equation you can write is:
\frac{B}{G} =  \frac{1}{4}

If you cross-multiply, then you get the simplified equation:
G = 4B

Intuitively this makes sense since if you multiplied the number of boys in the class by 4, that would be equal to the number of girls you have.

Now, we know that the total class size is 60. So girls plus boys equals 60:
G+B = 60

To solve the equation, replace the G in this equation with the replacement you found before, 4B.
G + B = 60 -->
4B + B = 60 -->
5B = 60 -->
B = 12

However, you are trying to find the number of girls, so plug the answer back into your equation.
G + B = 60 -->
G + 12 = 60 -->
G + 12 -12 = 60 - 12 -->
G = 48

The number of girls you have is 48.

6 0
4 years ago
Please help with this
bixtya [17]
The answer is C. Opposite sides have the exact same slope, and the shape is a quadrilateral.
4 0
3 years ago
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