Answer:
Step-by-step explanation:
Let the initial price be x
<u>Then the reduced price is </u>
<u>If 5 mugs cost $28.20, we have equation:</u>
- (x - 1.75)*5 = 28.20
- x - 1.75 = 28.20/5
- x - 1.75 = 5.64
- x = 1.75 + 5.64
- x = 7.39
Initial price for 1 mug was $7.39
Answer:
16,000 lb.
Step-by-step explanation:
For every ton, it equals 2,000 pounds. So to find how many pounds is in 8 tons, just multiply 2,000 by 8. This would give you 16,000 pounds!
This is of course using the U.S. tons, so if you want to convert it for metric tons it would be 17,632 since 1 metric ton = 2204.
I hope this was able to help!
Answer:
210
Step-by-step explanation:
Here comes the problem from Combination.
We are being asked to find the number of ways out in which 3 students may sit on 7 seats in a row. Please see that in this case the even can not be repeated.
Let us start with the student one. For him all the 7 seats are available to sit. Hence number of ways for him to sit = 7
Let us see the student second. For him there are only 6 seats available to sit as one seat has already been occupied. Hence number of ways for him to sit = 6
Let us see the student third. For him there are only 5 seats available to sit as two seat has already been occupied. Hence number of ways for him to sit = 5
Hence the total number of ways for three students to be seated will be
7 x 6 x 5
=210
You could find this by doing 6 * 5 * 4, or 6 choices * 5 choices * 4 choices = total choice combinations.
6*5*4 = 120
Let's solve step by step
So all we need to do is simplify the equation
<span><span>(<span>5x − 8</span>)</span><span>(<span>2x + 4</span>)
</span></span><span>= <span><span>(<span>5x + −8</span>)</span><span>(<span>2x + 4</span>)
</span></span></span><span>= <span><span><span><span><span>(5x)</span><span>(2x) </span></span>+ <span><span>(5x)</span>(4) </span></span>+ <span><span>(−8)</span><span>(2x) </span></span></span>+ <span><span>(−8)</span><span>(4)
</span></span></span></span><span>= <span><span><span><span>10x^2 </span>+ 20x </span>− 16x </span>− 32
</span></span><span>= <span><span><span>10x^2 </span>+ 4x </span>− <span>32
Therefore the simplified form of this is </span></span></span>10x^2 + 4x − 32
Hope this helps! - Alyssa
(Please mark as Brianliest Answer, Thanks)
