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Phantasy [73]
2 years ago
5

Jaya has a piece of paper that is 16 inches long and 9 inches wide. She cuts it into pieces that are each 3 inches long and 2 in

ches wide What is the greatest number of 3-inch-by-2-inch pieces that Jaya can get? Enter the answer in the box.
Mathematics
1 answer:
Murljashka [212]2 years ago
3 0

Answer:

  24

Step-by-step explanation:

Jayla has a couple of options for cutting her original piece of paper.

  • she can cut the 3 inch length from the long dimension of the paper, giving her 5 strips from the length and 4 strips from the width for a total of 20 3×2 pieces
  • she can cut the 3 inch length from the short dimension of the paper, giving her 3 strips from the 9-inch width, and 8 strips from the 16-inch length, for a total of 3×8 = 24 pieces.

The greatest number of 3×2 pieces Jayla can cut is 24.

__

The attachments show the different cuts as described above.

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128 less than a number is 452
N76 [4]
128+452=580 I’m not sure what ur question is tho
7 0
2 years ago
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A fitness center runs a contest for customers who enroll in its annual membership plan. The customers are allowed to draw a coup
Alchen [17]
There are 35 coupons in the jar.
The probability to choose <span>coupon for 1 month of extended membership is p(A)= \frac{20}{35} = \frac{4}{7}.</span>
The probability to choose <span>coupon for 1.5 months of extended membership is p(B)= \frac{10}{35} = \frac{2}{7}.
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<span>Answer: With probability \frac{4}{7} a customer will get 30 days extended membership, </span>
with probability \frac{2}{7} a customer will get 450 days extended membership,
<span>with probability \frac{1}{7} a customer will get 60 days extended membership.</span>
The probability to choose coupon for 1 month of extended membership is p(C)= \frac{5}{35} = \frac{1}{7}.
Together P(A)+P(B)+p(C)=1.




5 0
3 years ago
Look at the map. explain why elm street and birch street are not perpendicular
musickatia [10]
I cannot see the choices, so, I will explain this using two different concepts and you can apply the explanation on the given choices

1- Explanation using angle formed:
Imagine that Elm street and Birch street are two lines.
Now, for to lines to be perpendicular, these two lines must intersect forming a 90 degree angle.

Now, noticing the intersection between the two streets, we will find that the angle, formed is not 90 degrees

2- Explanation using slopes:
For two lines to be perpendicular, the slopes of the two lines must be negative reciprocals of each other.
This means that, if the slope of one line is m, then the slope of the other must be -1/m for the two lines to be perpendicular.

Now, Birch street is a horizontal line, this means that its slope is zero.
For Elm street to be perpendicular on it, the slope of Elm street must be equal to -1/0. This means that the slope of Elm street has to be undefined which means that Elm street must be a perfectly vertical line.

However, from the graph, we can note that Elm street is an inclined line which means that its slope is not undefined.
This means that the two streets are not perpendicular to each other.

Hope this helps :)
7 0
3 years ago
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V125BC [204]
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3 years ago
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What is the equation of the line that passes through the point (1,0) and is perpendicular to the line x+5y=30
Andre45 [30]

Answer:

The equation of line passing through points (1 , 0) is  x - 5 y - 1 = 0    

Step-by-step explanation:

Given equation of line as

x + 5 y = 30

Now, equation of line in standard form is y = m x + c

where m is the slope

So,  x + 5 y = 30

Or, 5 y = - x + 30

Or, y = - \frac{1}{5} x + 6

So, Slope of this line m = - \frac{1}{5}

Again , let the slope of other line passing through point (1 , 0) is M

And Both lines are perpendicular , So , products of line = - 1

i.e m × M = - 1

Or, M = - \frac{1}{m}

Or, M = - 1 × - \frac{1}{\frac{1}{5}} =  \frac{1}{5}

So, equation of line with slope M and points (1, 0) is

y - y_1 = M × (x - x_1)

Or, y - ( 0 ) =  \frac{1}{5} × ( x - 1 )

Or, y  =  \frac{1}{5} x - \frac{1}{5} × 1

Or, y  =   \frac{1}{5} x - \frac{1}{5}

or, y + \frac{1}{5} =   \frac{1}{5} x

Or, 5×y + 1  =   x

∴ 5 y + 1 =  x

I.e  x - 5 y - 1 = 0

Hence The equation of line passing through points (1 , 0) is  x - 5 y - 1 = 0   Answer

7 0
3 years ago
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