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Bingel [31]
3 years ago
12

HELP ME PLS One table at a bake sale has 150 mini cupcakes. Another table has 180 mini cookies. Wich table allows more square ar

rangments when all mini cupcakes and mini cookies are displayed? Explain.

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
4 0

Answer:  step by step equations

Step-by-step explanation:

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How to set the answer up
Korolek [52]

Let s and g represents the numbers of suits and gowns produced.

The number of zippers used is 2s+g.

The number of buttons used is 5s+8g.

In order to use all of the available zippers and buttons, we must have ...

  • 2s + g = 171
  • 5s + 8g = 576

Cramer's rule tells you the solution to the system

  • ax +by = c
  • dx +ey = f

Is given by

  • x = (bf-ey)/(bd-ea)
  • y = (cd-fa)/(bd-ea)

Using this rule on the equations for zippers and buttons, we have

... s = (1·576 -8·171)/(1·5 -8·2) = -792/-11 = 72

... g = (171·5 -2·576)/-11 = -297/-11 = 27

72 suits and 27 gowns can be made from available zippers and buttons.

3 0
3 years ago
Triangle E D F has sides that are of varying lengths. Side E D has a length of 4 and side E F has a length of 9.
9966 [12]

Answer:

D E + E F greater-than D F

5 less-than D F less-than 13

Triangle D E F is a scalene triangle

Step-by-step explanation:

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

we have the triangle EDF

where

ED=4\ units\\EF=9\ units

<u><em>Applying the triangle inequality theorem</em></u>

1)

ED+EF > DF\\4+9 > DF\\13 > DF\\DF < 13\ units

2)

ED+DF > EF\\4+DF > 9\\DF > 5\ units

so

The length of DF is the interval -----> (5,13)

The triangle DEF is a scalene triangle (the three length sides are different)

therefore

<em>The statements that are true are</em>

D E + E F greater-than D F

5 less-than D F less-than 13

Triangle D E F is a scalene triangle

3 0
3 years ago
Read 2 more answers
What is the missing angle
Zielflug [23.3K]

55°

Step-by-step explanation:

110+15+x =180

x = 180 - 125

x = 55°

6 0
2 years ago
Read 2 more answers
Can I have some help with this problem
Rufina [12.5K]
Corresponding measures have the same ratio.
.. (x -1)/4 = (2x +1)/10
.. 5(x -1) = 2(2x +1) . . . . . . multiply by 20
.. 5x -5 = 4x +2 . . . . . . . . eliminate parentheses
.. x = 7 . . . . . . . . . . . . . . . add 5 -4x

x = 7
7 0
3 years ago
Can you form a right triangle with the three lengths given? Why or why not? 4mi, 5mi, 6mi
Vladimir [108]
A right triangle must satisfy this equation: a^2 + b^2 = c^2 

a= shortest length
b=medium length
c=the longest length

a triangle with sides 4,5,6 will satisfy not this equation because:
4^2 + 5^2 ≠ 6^2 
16+25 = 41

41 ≠ 36

so the answer is C.

Hope this helps.

-Jabba

6 0
3 years ago
Read 2 more answers
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