Answer:
see the explanation
Step-by-step explanation:
Let
L ---> the length of rectangle in cm
W ---> the width of rectangle in cm
The area of rectangle is
![A=LW](https://tex.z-dn.net/?f=A%3DLW)
![A=991\ cm^2](https://tex.z-dn.net/?f=A%3D991%5C%20cm%5E2)
so
---> equation A
we know that
<u><em>Prime numbers</em></u> only have factors of 1 and themselves.
So a rectangle with an area of 991 cm² can only be either
or ![L=1\ cm, W=991\ cm](https://tex.z-dn.net/?f=L%3D1%5C%20cm%2C%20W%3D991%5C%20cm)
SOLUTION
![\begin{gathered} a\text{. }\frac{-1}{3}\text{ + }\frac{6}{7} \\ \\ \frac{-7+18}{21} \\ \\ \frac{11}{21} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20a%5Ctext%7B.%20%7D%5Cfrac%7B-1%7D%7B3%7D%5Ctext%7B%20%2B%20%7D%5Cfrac%7B6%7D%7B7%7D%20%5C%5C%20%20%5C%5C%20%5Cfrac%7B-7%2B18%7D%7B21%7D%20%5C%5C%20%20%5C%5C%20%5Cfrac%7B11%7D%7B21%7D%20%5Cend%7Bgathered%7D)
b.
![\begin{gathered} \frac{15}{16}-\frac{3}{4} \\ \\ \frac{15-12}{16} \\ \\ \frac{3}{16} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B15%7D%7B16%7D-%5Cfrac%7B3%7D%7B4%7D%20%5C%5C%20%20%5C%5C%20%5Cfrac%7B15-12%7D%7B16%7D%20%5C%5C%20%20%5C%5C%20%5Cfrac%7B3%7D%7B16%7D%20%5Cend%7Bgathered%7D)
c.
![\begin{gathered} \frac{7}{6x}+\frac{-4}{3y} \\ \\ \frac{7y-8x}{6xy} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B7%7D%7B6x%7D%2B%5Cfrac%7B-4%7D%7B3y%7D%20%5C%5C%20%20%5C%5C%20%5Cfrac%7B7y-8x%7D%7B6xy%7D%20%5Cend%7Bgathered%7D)
So we just have to find the LCM of the denominators, then we perform the rule of addition of fraction
Answer:
3 tires
Step-by-step explanation:
56 divided by 4 = 14
14 times 3 = 42, so 3 is the answer.
hope I helped! :)
Answer:
(x + 3)(x + 5)
Step-by-step explanation:
The given expression is x^2 +8x + 15
Now find the factor of 15 such that when you add the factors, we have to get 8
The right factors of 15.
5 * 3 = 15
5 + 3 = 8
The right factors are 3 and 5.
x^2 + 8x + 15 = (x + 3)(x + 5)
Therefore, x^2 + 8x + 15 = (x + 3)(x + 5)
Thank you.
Answer:
three-eighths multiplied by the difference of one and one-third.
Step-by-step explanation:
Convert equation to words
3/8 = three-eighths
x = multiplied
1 - 1/3 = difference of one and 1/3
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K