Answer:
8/15
Step-by-step explanation:
The problem states that Jada has a vegetable garden made up of 2/3 tomato plants, of which 4/5 are beefsteak tomatoes. Therefore, to determine the portion of the garden that is made up of beefsteak tomatoes, both fractions must be unified in the same common divisor.
Thus, since the common least multiple of 3 and 5 is 15 (3 x 5), the fraction 2/3 can be calculated as 10/15. In turn, of those 10, 4/5 are beefsteak tomatoes, which can be calculated as 8/10, since the common lower multiple of 5 and 10 is exactly 10.
Therefore, 8/15 of Jada's vegetable garden are beefsteak tomatoes.
Answer:
1. D
2. A
Step-by-step explanation:
Q1. Kerry is simplifying ![5\cdot 10^{-3}](https://tex.z-dn.net/?f=5%5Ccdot%2010%5E%7B-3%7D)
By the definition of negative powers,
![a^{-n}=\dfrac{1}{a^n}](https://tex.z-dn.net/?f=a%5E%7B-n%7D%3D%5Cdfrac%7B1%7D%7Ba%5En%7D)
Hence,
![10^{-3}=\dfrac{1}{10^3}](https://tex.z-dn.net/?f=10%5E%7B-3%7D%3D%5Cdfrac%7B1%7D%7B10%5E3%7D)
So, the first step in simplifying the expression is
![5\cdot 10^{-3}=5\cdot \dfrac{1}{10^3}](https://tex.z-dn.net/?f=5%5Ccdot%2010%5E%7B-3%7D%3D5%5Ccdot%20%5Cdfrac%7B1%7D%7B10%5E3%7D)
Q2. Given the expression
![\dfrac{8}{10^{-2}}](https://tex.z-dn.net/?f=%5Cdfrac%7B8%7D%7B10%5E%7B-2%7D%7D)
First, use the definition of negative powers:
![10^{-2}=\dfrac{1}{10^2}](https://tex.z-dn.net/?f=10%5E%7B-2%7D%3D%5Cdfrac%7B1%7D%7B10%5E2%7D)
Thus,
![\dfrac{8}{10^-2}=\dfrac{8}{\frac{1}{10^2}}=8\cdot 10^2=8\cdot 100=800](https://tex.z-dn.net/?f=%5Cdfrac%7B8%7D%7B10%5E-2%7D%3D%5Cdfrac%7B8%7D%7B%5Cfrac%7B1%7D%7B10%5E2%7D%7D%3D8%5Ccdot%2010%5E2%3D8%5Ccdot%20100%3D800)
1: 21
2: 4a
3: m^2
4:4x+4
5:7d+21
6:y(y+3)
7:x+1
8:d+4
9:y+3
seems u got answers for the rest so i will not answer them
The answer to that question is N=3.
The first one has a negative. You shouldn't have a negative isolated variable,
-x = 5y -1, Multiply everything by -1,
x = -5y + 1,
For the second one, you isolate the x,
x + 2y = 13, subtract 2y from both sides,
x = 13 - 2y.<span />