Step-by-step explanation:
Conversion a mixed number 5 3/2
to an improper fraction: 5 3/2 = 5 3/2
= 5 · 2 + 3/2
= 10 + 3/2
= 13/2
To find a new numerator:
a) Multiply the whole number 5 by the denominator 2. Whole number 5 equally 5 * 2/2
= 10/2
b) Add the answer from previous step 10 to the numerator 3. New numerator is 10 + 3 = 13
c) Write a previous answer (new numerator 13) over the denominator 2.
Five and three halfs is thirteen halfs
Conversion a mixed number 3 6/7
to an improper fraction: 3 6/7 = 3 6/7
improper fraction: 3 6/7 = 3 6/7
3 · 7 + 6/7 = 21 + 6/7 =27/7
To find a new numerator:
a) Multiply the whole number 3 by the denominator 7. Whole number 3 equally 3 * 7/7
= 21/7
b) Add the answer from previous step 21 to the numerator 6. New numerator is 21 + 6 = 27
c) Write a previous answer (new numerator 27) over the denominator 7.
Three and six sevenths is twenty-seven sevenths
Multiple:
13/2 * 27/7 = 13/2 · 27/7 = 351/14
Answer:
Triangle C
Step-by-step explanation:
Triangle A: All sides have length 9 cm.
<em>By </em><em>SSS</em><em> this is a </em><em>unique</em><em> triangle.
</em>
Triangle B: Two sides have length 10 cm, and the included angle measures 60°.
<em>By </em><em>SAS</em><em> this is a </em><em>unique</em><em> triangle.
</em>
Triangle C: Two angles measure 50°.
<em>This gives us at most </em><em>SS Similarity</em><em>, so we do not have a unique triangle. The triangle sides can be any length. </em><em>This is not unique</em><em>.
</em>
<em>
</em>
Triangle D: Base has length 8 cm, and base angles measure 45°. Which triangle is not a unique triangle?
<em>
This gives us </em><em>ASA</em><em>, so we have a </em><em>unique</em><em> triangle.
</em>
Answer: Triangle C
Answer:
the distance would be 13 units
Answer:
we need the graph to see. Take a screenshot please
Answer/Step-by-step explanation:
Part A:
![Key:\left[1 Adult = 4 Student]](https://tex.z-dn.net/?f=Key%3A%5Cleft%5B1%20Adult%20%3D%204%20Student%5D)

<u> 12 Student = 3 Adult</u>
<u>24 Student = 6 Adult</u>
<u>40 Student = 10 Adult</u>
Part B:
33 Student
Hence, divide 33 by 4 = 8 with a remainder of 1.
Therefore, 8 Adult and for the remainder 1 student either one Adult takes 5 Student or Needed 9 Adult.