SOLUTION
Let the two integers be x and y.
Now, the product of x and y, is 80, that is
The quotient of x and y is 5, that is
From equation 2, make x, the subject, we have
Now substitute the x for 5y into equation 1, we have
![\begin{gathered} xy=80 \\ 5y\times y=80 \\ 5y^2=80 \\ \text{dividing by 5} \\ y^2=\frac{80}{5} \\ y^2=16 \\ \text{take square root of both sides } \\ \sqrt[]{y^2}=\sqrt[]{16} \\ \text{square cancels root} \\ y=4 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20xy%3D80%20%5C%5C%205y%5Ctimes%20y%3D80%20%5C%5C%205y%5E2%3D80%20%5C%5C%20%5Ctext%7Bdividing%20by%205%7D%20%5C%5C%20y%5E2%3D%5Cfrac%7B80%7D%7B5%7D%20%5C%5C%20y%5E2%3D16%20%5C%5C%20%5Ctext%7Btake%20square%20root%20of%20both%20sides%20%7D%20%5C%5C%20%5Csqrt%5B%5D%7By%5E2%7D%3D%5Csqrt%5B%5D%7B16%7D%20%5C%5C%20%5Ctext%7Bsquare%20cancels%20root%7D%20%5C%5C%20y%3D4%20%5Cend%7Bgathered%7D)
Now substitute y for 4 into any of the equations.
Let us use equation 1 again, we have
Hence the answer is 4, 20
This is a unit rate question. We can solve this in chronological order of steps:
Step 1: Write out the beginning for the first unit rate.
Faith completed 60 burpees in 5 minutes last week.
Step 2: Since 60 burpees were completed in 5 minutes, we can divide 60 by 5 to find how many burpees were completed in 1 minute.
60 divided by 5 equals 12.
5 divided by 5 equals 1.
Our fraction for how many burpees Faith did in a minute last week is 12/1. This reduces to 12, meaning that Faith did 12 burpees last week.
Step 3: Find the unit rate for this week.
Faith completed 78 burpees in 6 minutes this week. Because of this, we can divide 78 by 6 to find how many burpees Faith completed this week.
78 divided by 6 equals 13.
6 divided by 6 equals 1.
Our final fraction for how many completed burpees Faith did this week is 13/1, which reduces to 13. Therefore, Faith completed 13 burpees per minute this week.
Your final answer: In terms of separate values, Faith completed 12 burpees per minute last week and 13 burpees per minute this week. If you need help, let me know and I will gladly assist you.
Answer:
They have <u>18</u> vegetable plants.
Step-by-step explanation:
Given:
Emily's family loves to work together in the garden.
They have a. preference for flowers as 80% of their plants are flowers and the rest are vegetables.
They have 90 plants in the garden.
Now, to find the number of vegetable plants.
<u><em>Total plants in the garden = 90.</em></u>
80% of the plants are flowers.
So, number of plants which are flowers = 80% of 90.
<u><em>The number of flower plants = 72.</em></u>
Total plants = 90 (given)
So, to get the number of vegetable plants we subtract:
<u><em>Thus, vegetable plants = 18.</em></u>
Therefore, they have 18 vegetable plants.
Answer:
43,582,779
Step-by-step explanation:
129 x 337,851 = 43,582,779
Step-by-step explanation:
company
answer is company hope it helps
