Answer:
<em>p ≥ 5</em>
<em>Scott will buy at least 5 kilograms of candy.</em>
Step-by-step explanation:
<u>Inequalities</u>
The candy Scott buys cost $7 per kilogram.
Let's set p=number of kilograms of candy Scott will buy.
The money spent to buy p kilograms of candy is 7p dollars.
The condition states he will spend at least $35 on candies, thus the following inequality is formed:
7p ≥ 35
Dividing by 7:
p ≥ 35/7
Operating:
p ≥ 5
Scott will buy at least 5 kilograms of candy.
Answer:
C. 1/8
Step-by-step explanation:
This is because the number two goes into sixteen eight times. This is the simplest form of the fraction.
Answer:
Some.
Terms that include a number and a letter are expressions.
About 20% I would say. Hope I helped, please award brainliest!
We have to set up 2 different equations if we are to solve for 2 unknowns. The first equation is x = y + 4. One number (x) is (=) 4 more than another (y + 4). Since we have determined that x is larger (cuz it's 4 more than y), when we set up their difference, we are going to subtract y from x cuz x is bigger. The second equation then is
![x^{2} - y^{2} =64](https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20-%20y%5E%7B2%7D%20%3D64)
. In our first equation we said that x = y + 4, so let's sub that value in for x in the second equation:
![(y+4) ^{2} - y^{2} =64](https://tex.z-dn.net/?f=%28y%2B4%29%20%5E%7B2%7D%20-%20y%5E%7B2%7D%20%3D64)
. Expand that binomial to get
![y^{2} +8y+16- y^{2} =64](https://tex.z-dn.net/?f=%20y%5E%7B2%7D%20%2B8y%2B16-%20y%5E%7B2%7D%20%3D64)
. Of course the y squared terms cancel each other out leaving us with 8y + 16 = 64. Solving for y we get that y = 6. Subbing 6 in for y in our first equation, x = 6 + 4 tells us that x = 10. Yay!